{"text":"Question: Factor m**4\/4 - 155*m**3\/4 + 459*m**2\/4 - 457*m\/4 + 38.\nAnswer: (m - 152)*(m - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -1251, -1, -14 in descending order.\nAnswer: -1, -14, -1251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 33*i + 295. Determine m(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v**3\/7 - 39*v**2\/7 + 690*v\/7 + 104 = 0.\nAnswer: -52, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j*(j\/(j**(4\/3)\/j))\/j))\/(j\/(j*j**(3\/10)*j)*j) assuming j is positive.\nAnswer: j**(49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -12*j**2. Let d(x) be the first derivative of 29*x**3\/3 - 5600. Determine d(y(a)).\nAnswer: 4176*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 76344 and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 5 + 5)*(1 + 0 - 4) - v + 2*v + v - 25*v + 69*v + 11*v.\nAnswer: 54*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 122.3495 to one dp.\nAnswer: 122.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19650960?\nAnswer: 2, 3, 5, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 11164, 71601, 235660, 555151, 1081884, 1867669?\n\"Answer: 8635*l**3 + l**2 - 11*l + 2539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -638080 + 1297083. Suppose 3140997 + p = 2*q. What is q rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2432\/(-272) - (-1)\/(-17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 104433244320 - 248\nAnswer: 104433244072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 670084274 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.5 and 12757788.\nAnswer: 12757788.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 82658959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 4*p + 60. Let g = p - 7. Calculate the remainder when 24 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 - 5*v**2 + v + 5. Let d be t(-5). What is the remainder when d + -3 - -32*1 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -478713 smaller than -478748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27 + 27. Solve 0 = -v*c + 4*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -402 - -852. Let w = h + -241. Suppose 0 = 7*j + w - 734. Calculate the highest common factor of j and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 + 49*b**2 - 965*b - 42070. Give d(-52).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/28*211\/((-16458)\/156)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.14 + 0.14. What is the biggest value in 0.06, i, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 + 4 = -4*s. Let b = -5 + s. Is 117\/b + (-2)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -81?  (a) 1\/21  (b) -2  (c) -0.2  (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 38728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 15*h - 10. Let o be q(-8). Let z = -49\/18 - -64\/45. Calculate the common denominator of (o\/25)\/((-22)\/(-20)) and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2016601*v**2 + 1666491 wrt v?\nAnswer: -4033202*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1627 - -3860?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*2*103750\/2500.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 - 4*x - 4. Let s(y) = -y - 1. Suppose i - 3*i = -20. Let o = -9 + i. Determine o*z(m) - 4*s(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -11 + 12 + -10 + 0 + 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, k: 1, j: 3, m: 3, u: 2, f: 1}. What is prob of picking 1 u, 1 j, and 2 a?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 128323440 to the nearest integer?\nAnswer: 11328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 3*o - 2. Let b(k) = 8*k - 4. Calculate -2*b(h) + 5*l(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -4*j + y + 56, -j + 68 = 3*y. List the prime factors of j.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 5*f - 395108, 4*d + f + 181757 + 213351 = 0. Let x = 1501223 - d. Round x to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**9\/u**(-6))\/((u\/u**(-2\/5))\/(u\/u**(-5\/4))))**38 assuming u is positive.\nAnswer: u**(6023\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.107 + 592974?\nAnswer: 592971.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 6 - 18. Let j = c + 12. Suppose -j*k - 5*v + 49 = 0, -4*k - 3*v - v + 44 = 0. Solve -k*l = -2*l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 413395351 is divided by 427?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 19338441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 101 - 91. Calculate the lowest common multiple of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40083 and 1953?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4961 + 5206. Calculate the remainder when g is divided by 109.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 12*o**2 - 14*o - 18. Let y(n) = -n**2 - n + 7. Suppose 0 = -115*a + 119*a - 16. Let z be y(a). Calculate w(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -38 - -151\/4. Which is the nearest to h?  (a) -10\/7  (b) 2\/9  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 108 + 12 = 0. What is the remainder when 15 is divided by j\/6 - (-30)\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/(-6))\/((-51)\/(-306)). Solve -20*w**2 + 10*w**3 + 24*w**2 - 8*w**3 - t*w**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -241\/128 or -3?\nAnswer: -241\/128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2186211 years in decades?\nAnswer: 0.02186211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2722782 is divided by 680695.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 12*g - 32*g + 12*g + 10*g + 31*g**3 as y + a*g**2 + o*g**3 + u*g and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2*g**3 - 29*g**2 + 14*g + 7. What is s(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*f - 6*f - 185. Suppose -4*h - 4*o + 248 = 0, h - o - 3*o = f. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2297\/145 - 413\/29. Factor 12\/5*q**3 - 54\/5*q + 34\/5*q**2 + d.\nAnswer: 2*(q - 1)*(q + 4)*(6*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 328903?\nAnswer: 67, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -738, -722, -720, -738, -782, -858, -972?\nAnswer: -1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 13 = t. Let i = -42 + t. Let x = i - -18. Let j(b) = -b**2 - 7*b + 1. Give j(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(66) + 3*sqrt(66) - sqrt(66) - sqrt(66))\/sqrt(3))\/(sqrt(11) + (sqrt(77)*-3)\/sqrt(7)) + 1.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 685904.7ng?\nAnswer: 0.0006859047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 112315.33 rounded to the nearest one thousand?\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -29. Let a = -26 + x. What is the units digit of 162\/a + -10 + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21.11 - 21. Let s = -4896.2 - -4893.2. Which is the second biggest value?  (a) 3  (b) s  (c) 0  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18559, -34947, -51335, -67723, -84111, -100499?\nAnswer: -116887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -229  (c) -12  (d) 0.1  (e) 0  (f) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 459506 to the power of 1\/2, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 792244.\nAnswer: 2, 37, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3225215 divided by -301\nAnswer: 10715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-46)\/(-230)*(((-4)\/(-1))\/4)\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 - 10*f + 11. Calculate g(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 - h**2 - h - 4. Let f be c(-2). Let k be (f*1)\/(-2) + (30 - 28). Solve -5*g - 24 = k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/((14\/4)\/(-7)). Let g be 3 - t\/8*-6. Suppose 0 = g*d - 0*d - 72. What is the smallest common multiple of 14 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 3:40 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5004105.\nAnswer: 3, 5, 449, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 7.96. Let o = 0.41 + j. Let r = o + -0.4499967. What is r rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 - -65. Suppose -13*v - 11*v + t = 0. Solve 2*i = 0, -2*r = i + v*i + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4422, -16492, -36212, -63588, -98626, -141332, -191712, -249772?\nAnswer: -315518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29 - 34. Let t = v + 6. What is the third biggest value in t, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53794771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1875 by -5.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.3 times -4.37?\nAnswer: 10.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 3*w**2\/5 + 48603*w\/5 + 9720 = 0.\nAnswer: -16200, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)\/(sqrt(45)\/sqrt(45)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -9ef4 (base 16) to base 6\nAnswer: -512220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 13110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12230, -23440, -34650, -45860, -57070, -68280?\nAnswer: -79490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -7.0000296. What is p rounded to 6 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12333 - -308327\/25. Sort 9, 7, b.\nAnswer: b, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*h**3*l**5 + 46*h**3*l + 3*h**3 - 13590*h - 4633048*l**5 wrt l?\nAnswer: 40*h**3*l**3 - 92660960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 4. Let n = o - 3. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -54*w + 20. Let c(x) = 214*x - 79. Let z(q) = -4*c(q) - 18*n(q). What is the units digit of z(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 88, 170, 254, 340?\n\"Answer: b**2 + 79*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 6.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 10 - ((-5 - -13) + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 12, p: 1}. Give prob of sequence ypy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1019736, -1019798, -1019860, -1019922, -1019984?\n\"Answer: -62*k - 1019674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (7\/21)\/((-2)\/(-966)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 - 3. Let j = 43 - 40. Let w be u(j). Solve w*l + 15 = 3*l - 3*a, a - 7 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100 + -102?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4\/65 + -167\/455. Which is the nearest to 2\/5?  (a) -2\/11  (b) v  (c) -1\/7  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z + 14 = 133. What is the highest common divisor of z and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = -4*k + 8, -17 = 4*k + 3*v - 49 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 10\/3  (b) -4  (c) 2\/35  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 208*a - 4388 + 1060 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8\/39 in 1\/3, -0.5, -42?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 13540 and -1996.7.\nAnswer: 11543.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 5842, -8, 0, -1, -14 in increasing order.\nAnswer: -14, -8, -2, -1, 0, 2, 5842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.9 + 0.9. Are j and -2\/33 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13608 divided by 3402\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148751560 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 6 - 39*p**2 + 0.\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(-234*s**3 + 236*s**3 + 49*s**2 - 206*s**2).\nAnswer: 4*s**3 - 314*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 1. Suppose -5*a + 25 = j. Let d(r) = r**3 - r**2 + r - 4. Let o be d(0). Sort a, 0, o.\nAnswer: o, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 27.035415 months?\nAnswer: 0.0225295125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.55*55\nAnswer: -30.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -9. Suppose -3*i + 0*i = -5*o - 26, -f*i = o. Suppose 123 = 5*z - i*t, -t = -2*z - 4*t + 53. What is the remainder when z is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 457 = -y + 4*k, -3*k + 433 = y. Let n = y - 203. Let g = 7 + n. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -2*z - 5. Let l be t(-4). Suppose -23 = f - l. Does 10 divide (-12)\/(-2)*f\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13431 (base 7) in base 5?\nAnswer: -104043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 304 + -300. Suppose -3*k - 3495 = -4*w - 6*k, 4*w - 3516 = y*k. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 9*c - 10. Calculate g(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/11)\/y)\/y**(2\/5))\/(y\/(y**8*y*y)*y*y*y*y*y\/(y\/y**(-4)*y*y))*((((y\/(y\/(y**(-1\/3)*y)))\/y)\/y)\/y)**(-13\/3)*y*y*y\/y**6*y*y**4 assuming y is positive.\nAnswer: y**(10657\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 7*i + 4. What is the tens digit of p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(225)\/(sqrt(5) + (sqrt(80) - sqrt(5)) + sqrt(5))*-5)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1103026620 less than 7?\nAnswer: 1103026627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 202122021020 (base 3) to base 5\nAnswer: 100444443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -2, -6 in ascending order.\nAnswer: -6, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 - 14. Suppose f + d = 5*f. Differentiate 3*o**3 + o**f - 2*o**3 + 2 wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -18*z - 3. Let y be v(-2). Let l(h) = 9*h + 121. Let n be l(-11). What is the greatest common factor of y and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2363741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -167*z**4\/4 + 496*z**2 + 682*z. What is the first derivative of v(b) wrt b?\nAnswer: -1002*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 5)*(2*i**5 + 4*i**4 - 4*i**4) - 8*i**5 + 6*i**5 - 3006*i**4 + 3008*i**4 - 86.\nAnswer: -6*i**5 + 2*i**4 - 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 52a - 223?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -2.1. What is the second smallest value in 3, 4, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 281*j - 1119. Give q(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t**2 - 4*t**2 + 2*t**2 + (-6 + 10*t + 5 - 1)*(-2*t + 5*t + 0*t) to g*t**2 + c*t + a and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 266040118*s**2 + 0*s + 0*s - 266040132*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.2  (b) -0.1  (c) 142  (d) 17652\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 5*m = -27, 3*p + 2*m = 5*m - 27. Let x(b) = b**2 + 6*b + 3. Let l be x(p). Let w = 3 + 42. What is the highest common divisor of l and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 - 24*h - 15. Suppose 6*j - 26 = -98. Let m be x(j). Suppose 0 = -c + 26 + m. Is c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 5:23 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.53 + -1.83. Sort 5, 0.5, -4\/5, i in descending order.\nAnswer: 5, 0.5, i, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 12 = 3*l. Let r(a) = -4 - a**2 + l + 0. Let b(z) = 3*z**2. Give r(b(x)).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*t**2 + 54*t**2 - 87*t**2 - 233*t**3 in the form f*t**3 + w*t**2 + g*t + x and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**2 + 3. Let d(j) = -4*j**2 - 7. Let k(z) = 3*d(z) + 7*q(z). Let c be (-12)\/(-8) + (-1)\/(-2). Let t(g) = 80*g - 80*g - g**c. Calculate t(k(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -480.454 - -0.454. Let j = 479.926 + h. What is j rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 0) + (0 + -5 - 10 - -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4416 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -776 at least -771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*(5110\/(-15))\/7. Suppose 0 = 3*s - k + 23. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42 (base 16) to base 9.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0542 + -0.1458. Sort 3, g, -0.8, 0.17.\nAnswer: -0.8, g, 0.17, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1546 + -264?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 1\/4, 46747, 4?\nAnswer: 46747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 15172 = -3*j + 5*j, -2*p = 5*j - 6052. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -200, -1, 0, 232 in decreasing order.\nAnswer: 232, 0, -1, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 6871*u - 1 - 3585*u - 3281*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 127 (base 10) to base 16.\nAnswer: 7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*i - 91*i - 70*i - 67*i + 324*i - 77*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*u, -2*m = -2*u - u - 100. Let g = 122 - 110. What is the remainder when m is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -4*i - 1. Let u(z) = -9*z - 3. Let f(k) = -14*k - 24. Let d be f(-2). Let w be ((-3)\/(-6))\/(d\/40). What is w*v(r) - 2*u(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6687, 6686, 6685, 6684?\nAnswer: 6683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + 3. Which is the smallest value?  (a) d  (b) -2\/11  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1852607.\nAnswer: 29, 193, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2.298 and -8731.\nAnswer: -8728.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -26\/2929 and 64\/923645?\nAnswer: 26785705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 349\/1770 + 1\/354. Let p = -0.4 + 0.1. Sort -1\/5, f, p, -0.5.\nAnswer: -0.5, p, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 180 divided by -5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 8:31 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((1*sqrt(68))**2 - (sqrt(17) + 2 + sqrt(1700))) + 1)*2.\nAnswer: -22*sqrt(17) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1142.5 and -2.\nAnswer: -1144.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 180, -1, 1, -5 in decreasing order.\nAnswer: 180, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 - (18 + (-40 - -27))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 10 = -s. Let c be s\/2 + 0 + 579. What is c rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/18*1\/16*6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 5*x + 33, -4*x + 5*x - 11 = -4*q. List the prime factors of 1*(-2)\/q*-18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -931, -1947, -2947, -3925, -4875?\n\"Answer: w**3 + 2*w**2 - 1029*w + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13536 and 2336.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11683 in -2\/21, 0.2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -2*b**2 - 9*b + 8. Suppose g + 20 = -3*c, -31 - 1 = 4*c + 4*g. Calculate f(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 425 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -3895*f + 12111. Calculate u(3).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of k**4\/12 + 3*k**3 - 3*k - 12. Let z(s) = 5*s**2. Calculate a(z(q)).\nAnswer: 25*q**4 + 90*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n. Let x(q) be the third derivative of -29*q**5\/30 - 612*q**2. Calculate l(x(m)).\nAnswer: 58*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/52706 and 14\/5329.\nAnswer: 3847538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - 8*v**2 - 8*v + 1. Let u be o(9). Which is bigger: 8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/8 or -0.333?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 207269000 rounded to the nearest 1000000?\nAnswer: 207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1878\/(-81))\/((-6)\/(-9)). Let t = b + 35. What is the second biggest value in t, 2, -1\/15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 + 13*s - 16. Let b be t(11). Let i(u) = u + 1. Let a(y) = -4*y - 3. Let w(f) = b*i(f) + 2*a(f). Let p(x) = 6*x**2. Determine w(p(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/37?  (a) -0.5  (b) 6  (c) -0.031  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of r**2\/2 + r + 249. Let o(q) = 2*q + 1. Give 3*o(j) - 5*w(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2720 - 56573?\nAnswer: -61513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -53 + 0 + 52 - (-1 + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 + g)*(0*g**3 + g**3 - 2*g**3) + (3*g + g**3 - 3*g)*(16*g + 2*g - 6*g).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -998765\/202288 + -2\/12643. Find the common denominator of v and 5\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46934 and 57532?\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3535*b**2*x**4 - 13565*b**2*x + 22*x**3 + 2*x wrt x?\nAnswer: -42420*b**2*x**2 + 132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 6809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1420109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + 18*8\/(-12). Let i = 172\/17 + v. Let c = 0.08 - -4.92. What is the closest to -2\/5 in i, -4, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 3*x + 19, 0 + 6 = -2*x. Let q = -5 + 9. Let n = 25 + -20. Solve 4*d = -n*f - 23, -f - 7 = -m*d + q*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -340376 divided by -505\nAnswer: 340376\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6233491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 3:40 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 137511 + -137493. Suppose -4 - 1 = -f. Suppose -11 = -4*o + 5*w + 6, -f*o = -w - 16. Calculate the greatest common divisor of o and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -23*r**2 + 4*r + 2. Let o be j(-4). Let w = -6496\/17 - o. Which is the third biggest value?  (a) -2  (b) w  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, h: 2, i: 2, a: 1, m: 1}. What is prob of picking 2 a and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(8\/(-18)*288\/(-64)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 8*d**2 - 7*d + 119. Let u(q) = -3*q**2 + 3*q - 60. Calculate 4*j(o) + 9*u(o).\nAnswer: 5*o**2 - o - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 36 * 38\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o - 5. Determine i(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = 8*d. Let a(v) be the first derivative of 1\/4*v**4 - 2\/3*v**3 + d*v + 0*v**2 + 2. Find the third derivative of a(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 970 + -375. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.831 - 0.037. Let z = 1.32 + n. Let x = -0.048 - z. Which is the biggest value?  (a) 4  (b) x  (c) 5  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of -m**5\/15 + 2*m**3\/3 - 4*m**2\/3 - 14*m + 13. Let a(l) be the first derivative of c(l). Factor a(f).\nAnswer: -4*(f - 1)**2*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/126)\/((-14)\/(-2898))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -32596 equal to -32560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -61763129*q + 350926847 wrt q?\nAnswer: -61763129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(833) + 4 - (sqrt(833) + 3 + sqrt(833) + -2)**2)*-6.\nAnswer: 126*sqrt(17) + 19986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9350 and 2244?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 + 75*q**2 + 157*q + 6154. Determine m(-74).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 853534367.\nAnswer: 7, 121933481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 862\/(-66) + 1458\/24057.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1330, -2657, -3982, -5305, -6626, -7945, -9262?\n\"Answer: v**2 - 1330*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 228.3973ml in litres?\nAnswer: 0.2283973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1257945335?\nAnswer: 5, 251589067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y. Suppose 29 = -4*i + 89. Let r(u) = -i*u - u + 0*u. Determine k(r(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3065585.3 and -0.12?\nAnswer: 367870.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/((-1)\/(3 + 1)). Let r(s) = -i*s + 5*s + s. Let f(p) be the second derivative of -p**4\/6 + 13*p. Calculate f(r(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20785 + 36396. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 7*x + 2*f = 48, 24 = 4*x - 2*f. Suppose 4*l + 2 + 2 = 0. Let g be (6\/x)\/(3\/24)*l. Let a(r) = -r**2 - 6*r - 7. Calculate a(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of -y**5\/60 + y**4\/8 + 5*y**3\/6 + y**2 - 1. Let q(p) be the second derivative of v(p). What is the units digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 62 = n + 495, -n - 372 = -2*m. Suppose -61 = 31*o - m. Solve -16 = o*k - 0*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -83 + 117. Let g = 137 - 125. Let b = v - g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - y)*(3*y**2 - y**2 + 0*y**2) + 0*y**3 - 4*y**3 - 3*y**3 + 6*y**3 + 4*y**3 - 2*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -978*t**4 - 11520 + 5796 + 6234 wrt t?\nAnswer: -3912*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2121456 or -2121326?\nAnswer: -2121456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 289*a + 4730 + 3651 = 0 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y. Let j(s) = -77*s. Let t(l) = -4*j(l) - 99*r(l). Let w(b) = -13*b**2. What is t(w(v))?\nAnswer: -143*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/2  (b) -218  (c) -4  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13 * -0.06.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11240629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10091.\nAnswer: 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 23, 1.3, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.461 - 1.4. Let j = m + -2.061. Sort 1\/9, -0.3, j, 3\/13 in descending order.\nAnswer: 3\/13, 1\/9, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.89 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 43 or -22?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9*(-6)\/63*(-27)\/((-1296)\/1120)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 4*d - 16 = -8, -2*d - 17 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2120919448?\nAnswer: 2, 179, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 414427494 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21813624 by -63.\nAnswer: 346248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-4 + sqrt(18)\/sqrt(9)).\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 875 * -4\nAnswer: -3500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from swwzwwtwsfetwwwt. What is prob of picking 1 e, 1 w, and 1 f?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from egsgeggegce. What is prob of sequence ee?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 17 = -4*j, -3*i - 10 = 3*j - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/15633408 and 89\/5376.\nAnswer: 15633408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q\/(q\/q**(1\/29)))\/(q**(-2\/3)*q))\/((q*q**(-7\/3)*q)\/((q*q*q**(-2\/15)*q*q)\/q)) assuming q is positive.\nAnswer: q**(2132\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -4*u**2. Let x(i) = 21*i - 4. What is a(x(r))?\nAnswer: -1764*r**2 + 672*r - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s*(s*s**(1\/8))\/s)*s**(-1\/3)\/s*s**(2\/9)*s*s\/((s*s*(s\/(s\/(s\/s**(-1\/6)))*s)\/s)\/s*s) assuming s is positive.\nAnswer: s**(-173\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/14 - 38\/(-14). Suppose -x*k + 83766 = 839757. Let f be k\/(-9) - 2\/(-6). Round f to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(440)\/(sqrt(8)*1)*-1)\/(sqrt(11) + (2*sqrt(121) + sqrt(121))\/sqrt(11) + (sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11))*-5 + sqrt(11)).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 2*c**2 + 18*c - 6. What is w(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 + 7*o**2 - 7*o + 8. Let h be k(6). What is the second derivative of -4*s**2 + 2*s + 4*s**2 + 0*s - h*s**5 wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*j - 41*j = -22. Which is the nearest to j?  (a) 1\/5  (b) 8  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4*c + c + 5*c)*(-3*c - 4*c + 6*c) + c**2 + 2*c**2 + 0*c**2 - 3 - 2*c**2 + 3)*(4*c + 2*c + 0*c) to n + y*c**3 + l*c**2 + m*c and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -419e (base 16) to base 8.\nAnswer: -40636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + j = -3*j - 58, -g + 16 = -3*j. Calculate the remainder when 17 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4\/2 - 24*t**3 - 663*t**2\/2 - 1034*t - 726.\nAnswer: -(t + 1)*(t + 3)*(t + 22)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8109 or -17748?\nAnswer: -17748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -276*v + 1105. What are the prime factors of g(-9)?\nAnswer: 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.53, -1, -1\/13, -47, -2\/15 in decreasing order.\nAnswer: -1\/13, -2\/15, -0.53, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of x**4\/12 - 15*x**3\/2 + 61*x**2\/2 + 139*x - 1. Calculate the remainder when g(44) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -9\/7, -2, 1.53, 1?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8 + -3b6?\nAnswer: -3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2912\/21 + 1 + 5\/(-3). Let l be (-15)\/(-150)*(-8)\/r. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 8 + 41)*(-3*m**2 + 0*m**2 + 2*m**2).\nAnswer: -68*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 2*y = -17, 4*p - 5*y - 20 + 4 = 0. Suppose j - 4 = 4. What is the least common multiple of p and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-29 - (-1 - 14)) + 0 + -8?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11908650 by -30.\nAnswer: -396955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 PM and 5:31 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 2*k + 1550, -37*k = x - 38*k - 785. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 2, 145\/61?\nAnswer: 145\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2135 rounded to 3 dps?\nAnswer: 0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5576446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 979, 1141, 1305, 1471, 1639, 1809?\n\"Answer: s**2 + 159*s + 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 5*f. Let c(z) = 32*z - 64366. Give u(c(w)).\nAnswer: 160*w - 321830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -d - 6*u + 1, -4*u - 34 = -228*d + 226*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2507671 to the power of 1\/2, to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7987 + 14620. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (-1 - (9 + -8 + 3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (273 + 258 - 35)*(66 + 13*t**2 - 66).\nAnswer: 6448*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 9  (c) 3\/5  (d) 3\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 0)*(-3 + 3 + i**2) - 2*i**2 + 3*i**2 + i**2 + (3 - 3 + i)*(5*i - 3*i - 11*i) in the form s*i + d + w*i**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*j**2 - 4 + 25*j**2 - 7*j**2 - 13*j**2 + 10*j**3 + 2*j**4 to l*j**2 + w*j**4 + c*j + i*j**3 + b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19871, 19846, 19821, 19802, 19795, 19806?\nAnswer: 19841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**2 + 2*y - 5. Let h(i) = 2*i**3 - 101*i**2 - 5*i + 22. Determine -4*d(p) - h(p).\nAnswer: -2*p**3 + 93*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 86626, 173241, 259856, 346471, 433086, 519701?\n\"Answer: 86615*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.1248 - 0.1248. Let u = -1.05 + -0.05. Let n = 1.9 - u. Which is the second biggest value?  (a) 8  (b) n  (c) -1\/7  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48351299621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1297 - -1312. What is the third smallest value in -3, -0.3, b, 0.051, 1\/4?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -7*t + 113. What is the remainder when p(8) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14624 or -1163?\nAnswer: -1163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 3*z + 4. Let s(a) = -1. Let l(g) = -f(g) + 2*s(g). Let q be l(-2). Suppose 0*p + p - 198 = q. Calculate the greatest common factor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**4\/5 - 7713*c**3\/5 + 4865247*c**2\/5 + 122282457*c\/5 - 4027208346\/5 = 0 for c.\nAnswer: -42, 19, 1297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27313*m + 427 = -27374*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/((d\/d**(-13\/3))\/d))**(-3) assuming d is positive.\nAnswer: d**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + 35\/(-15 - -8). Let m(b) = -9*b**3 - 4*b**2 - 6*b - 9. Is m(t) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.25 - -0.15. Let t = -11.07 - -11. What is the closest to 2\/3 in o, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4227423.\nAnswer: 3, 23, 197, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-34) - (5 + 38460\/(-8364))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 PM and 11:53 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5211 (base 6) to base 3.\nAnswer: -1120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.7503 + -0.2497. What is the closest to -0.1 in 4, 2, g, -24?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38491, 76964, 115437, 153910, 192383, 230856?\nAnswer: 269329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*a**2*o - 33754*a**2 - 169832*o wrt a?\nAnswer: -4*a*o - 67508*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/18 and -91\/708814278.\nAnswer: 708814278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 + r**2 - 4*r**2)*(14*r - 36 + 36)*(r - 5*r + 3*r).\nAnswer: 56*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 44 or 607\/14?\nAnswer: 607\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 241, 239, 237, 235, 233?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 687017 - 686998.00356. Let j = 19 - s. Round j to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6539 is divided by 159?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from hllvlvwmwwvvlv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -14, -0.4, 2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 59 and 2183?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add -1016841 and -38085757.4.\nAnswer: -39102598.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3570 and 2310.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 2*p + 3. Suppose 4*l - 3*r = 0, r - 1 = l - 2. Let k(v) be the second derivative of -v**3\/6 - v**2\/2 + v. Calculate l*k(n) - u(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:33 AM and 3:46 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 10*q + 6. Suppose 3*j = -0*j - 9. Let y be a(j). Let v be (-10)\/5 + (-46)\/y. Is v >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -5*r - 27 + 135, -86 = -4*r + s. Suppose r*a - 5103 = 9813. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/9296 and 73\/29984?\nAnswer: 17420704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 548003.7 + 5.\nAnswer: 548008.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 384.8 + -2.8. Which is smaller: 0.2 or z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -12  (b) 3\/2  (c) 3  (d) 1\/5  (e) -676\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11105 * -1.532.\nAnswer: -17012.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 33367 (base 8) in base 7?\nAnswer: 56011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - t - 4. Let v be s(3). Let m = -66 - -33. Is 10 a factor of (m\/(-2) + 2)*v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/7  (b) 5  (c) -0.1  (d) 0.5  (e) 11  (f) 3\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 330347?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -7. Let w = u + -5. Let l = w - -3. Solve 3*n + 17 = l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -5*u**2 - 385*u + 181740 = 0.\nAnswer: -233, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 19202 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -7. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (14\/(-63))\/((-5)\/30). Let 0*c - 2*c**4 + 0 + b*c**3 + 2\/3*c**5 + 0*c**2 = 0. Calculate c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 38323*d - 3*d**2 + 5*d**2 - 42591*d in the form r*d**2 + w*d + t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 196593 and 3591?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 79 = -2*n + 571, 935 = 3*n + 5*q. Let d(o) = 4*o**2 + 105*o - 64. Let g be d(-27). Suppose -n = g*k - 3142. List the prime factors of k.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 287 = 955. Let y = 838\/5 - x. Which is smaller: -7 or y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 4*s**2 + 2*s - 1. Let h be b(1). Let z(f) = 5*f. Let p(r) = -16 + 8*r + 17 + r. Let n(x) = h*z(x) - 2*p(x). Differentiate n(a) wrt a.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17163 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + 2)*(0 + (5 - 235)). Let m = z + 229. Let l(v) = v. Let w(r) = 15*r. What is m*w(g) + 20*l(g)?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-26)*n*n*n)\/n**(-17) assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-168)\/(-16))\/7)\/(14\/11424*36).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1675703 micrometers in centimeters?\nAnswer: 0.00001675703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -537567747?\nAnswer: -537567747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - 10652?\nAnswer: -10653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26440 + 3087. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*g - 3*v - 23, 3*g = 2*v - 65 + 55 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-81)\/27)\/(3*(-1)\/2). Solve 0 = -5*z + 3*q - 4*q - 12, z + f*q = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.23 - 23178091.\nAnswer: -23178090.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -106*x**2 + 85 + 42*x**3 + 106*x**2 + 53*x**3. Let i(p) = -97*p**3 - 85. Let t(a) = -4*c(a) - 5*i(a). What is the first derivative of t(k) wrt k?\nAnswer: 315*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + 22*t + 5. Let z be v(0). What is the smallest value in z, -1.5, 2\/11?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 8) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 167776884 and 3186?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -659*i + 1366*i + 826 = 648*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 4*w = -4, 4*w = 5*x - 24 + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, f: 1, u: 1, z: 2, q: 2, e: 1}. What is prob of picking 1 e and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*f**2 - 10*f**2 + 23*f**2 + 26*f**2.\nAnswer: 47*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 422470 rounded to the nearest 1000?\nAnswer: 422000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2. Suppose 0 = -2*k - 0*k + 12. Let p = k - 4. Let o(b) = p*b - 6*b + 14*b. Determine o(j(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 960 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -8*s + 16. Determine c(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s + 6. Suppose 28 = 2*m + 4. Let g = -22 - -38. Suppose -5*y + 62 - m = -5*n, 0 = -2*n + y - g. Give z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 718607 less than -1744?\nAnswer: -720351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -29*a + 51*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from qsssesqssesq.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -63 and 3.8971.\nAnswer: -59.1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 1:31 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of z**3 + 198. Let c(m) = -257*m**2. What is s(c(t))?\nAnswer: 198147*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -565, -555, -549, -553, -573?\n\"Answer: -d**3 + 4*d**2 + 5*d - 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -4*u**2 - 65*u - 11. Let j be q(-16). Is (j - 55\/15)*1139382\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 97, 87, 63, 19, -51, -153, -293?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 46859  (b) 3  (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of 0*r**3 + 0*r**4 + 1\/6*r**5 + 1\/24*r**6 + 0 - 266*r**2 - 1\/35*r**7 + 0*r. Find the third derivative of u(a) wrt a.\nAnswer: -144*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w**3 - 9*w**2 + 3*w - 5. Let i(l) = 2*l**3 - 10*l**2 + 2*l - 6. Let z(s) = 4*g(s) - 3*i(s). Let z(h) = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-6)\/9)\/((-4)\/186) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**2\/3 - 7533*k - 22602 = 0.\nAnswer: -3, 22602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 2*f + 8, 5*f + 1 = -3*o + 2. Let s(t) = -4*t + 5. Let z(a) = a + 3. Let w(j) = -2*j - 4. Let x(i) = 2*w(i) + 3*z(i). Calculate o*x(q) + s(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 208\/(-912) - (31 + 1761\/(-57))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7.6 >= 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7010*v - 63370*v - 13370*v.\nAnswer: -69730*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 9720\/(-5184)*(-3)\/(-3)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87 + 97 = 10*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 895.379 - 895. Let f = 0.249 - c. Which is smaller: -0.5 or f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 PM and 11:24 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 872 and 20?\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*q + 1 = 116*q + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 2*o**2 - 5*o + 4*o + 6 + (-7*o + o + 3*o)*(-o + o + 2*o) as a*o**2 + q*o + j and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 + 8*d**2 + 10*d - 6. Let a be b(9). Let f be (2 + a)\/(1 + 0). Suppose 3*q - 201 - 680 = -5*v, 0 = -f*v - 4*q + 878. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54010282 by -1.\nAnswer: -54010282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19055708 or -19055706?\nAnswer: -19055708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*r + 25*r = -864031 + 3012145. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 56 = -4*g, 5*g + a = 3*a + 55. Suppose g = 2*x + 1. Suppose -11 = -x*i + 9. Solve -i*y - w + 8 = 0, -3 = 3*y - 0*w - 2*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**2 - 444*r + 16428.\nAnswer: 3*(r - 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(192) + sqrt(192)*-1))\/sqrt(8))\/(-4*sqrt(8)*2 + -1*sqrt(392) + sqrt(392)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 2 + -8 + (-24 - (2 - (3 + 0)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-2))\/((-1)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -140762084.394713 + 140762199. Let x = 0.599987 - r. Let t = 114 + x. Round t to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2. Suppose 8*n - n = 21. Let g(a) be the third derivative of 0*a - 1\/24*a**4 - a**2 + 0*a**n + 0. Give z(g(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 times 177?\nAnswer: 10089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 201c2b - -40c?\nAnswer: 20233a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = -5*t + 142, 11*t + 3*f + 106 = 15*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 87977d - -2?\nAnswer: 879780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -2*s - 17. Suppose -2 = c - 5*q - 5, s*q = 0. Let h(j) = -2*j - 23. Let n be h(-16). What is the greatest common factor of n and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -223 + 225. Solve -9 = -o*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 PM and 7:43 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 377334425 is divided by 8457?\nAnswer: 8456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 4 - 5*t**3 - 18 + 6 - 4*t**3.\nAnswer: -9*t**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -15, -31, -57, -87, -115, -135?\n\"Answer: r**3 - 11*r**2 + 10*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -9.5, 3\/2, 9\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/5 - 13686*y - 4181672\/5.\nAnswer: 2*(y - 34276)*(y + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1880446 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00107985197 to five dps.\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 3*f = 37, -5*t - 25 = 5*f - 70. Let h(i) = -12*i + 207. Suppose -s - 4*s + 2*l = -78, -4*s = -4*l - 60. Let j be h(s). Solve -t*p + 0*p = j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/6)\/(2\/3))\/((-6)\/(-30)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*r - 15*r - 22*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 1 = l. Let r(u) = -u + 8. Calculate the remainder when r(l) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -62058229 and -62058229 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 19882751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(475)*-1 + 4 - sqrt(475))*4 + (sqrt(2299)*1*-4 - sqrt(2299))*5)**2 + -1.\nAnswer: -10080*sqrt(19) + 1885528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*o - 1038186 = 656525 + 1156488. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35) - (sqrt(35) + 3*sqrt(35) + sqrt(35)))\/sqrt(7) + sqrt(180)*-1)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 41878 and -68610.\nAnswer: -26732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11032 + 10?\nAnswer: 11042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 317*y - 141. Calculate the remainder when f(1) is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 3*d**3 + 512*d - 512*d + d**4 as i + h*d**4 + l*d**3 + w*d**2 + s*d and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of 3*u**5\/20 - u**4 - 5*u**3\/2 + 3*u - 11. Let z(d) = 0. What is d?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 7) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f - 6. Let q be b(-11). Solve -m = -q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -29*s + 40*s - 132. Suppose 0 = -21*a + 16*a + 20. Suppose 3*t - 113 = -a*b, 4*t + 4*b = -0*b + 148. Calculate the remainder when t is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-14) + (-132)\/(-28). Suppose 9 = -4*s + h*f, -3*s + 0*f - 13 = -5*f. Solve 3 = s*r - r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1105304 (base 6) to base 5\nAnswer: -3234444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 0  (c) 2\/7  (d) -2\/2435  (e) 55  (f) 1\/3  (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 283421 is divided by 284?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 694788?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80017 is divided by 1601.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11011000010111111 - 101?\nAnswer: -11011000011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/7*40\/300*140.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 35 and 265.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -1 + 1 + 3 + 9 - 5*i + 0. Let y(b) = -14*b + 35. What is -17*x(a) + 6*y(a)?\nAnswer: a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 11*r - 10. Let z(f) = 27*f - 20. Let m(q) = -5*t(q) + 2*z(q). What is m(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 8:05 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -5*i - 103. Let r(a) = 17*a + 312. What is -2*r(u) - 7*s(u)?\nAnswer: u + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -26 + 1. Suppose 0*h - 2*h = 2. Let y be h + 1 - 1\/(-1). Sort z, -1, y in decreasing order.\nAnswer: z, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 374 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = -0*z + 245. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of q**7\/120 + 5*q**4\/24 - q**3 + 7*q. Let k(g) be the second derivative of i(g). Differentiate k(r) wrt r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2640 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 445 + 40*s - 841 + 396.\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 116687?\nAnswer: 116687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 95, 138, -909, -3958, -9921, -19710, -34237, -54414?\nAnswer: -81153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 74812.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 490445 + 1137995 = 3511*k + 11293*k for k.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5694 = -7*b + 2*b, -5*c + 2281 = -2*b. List the prime factors of b\/(-16) - 2\/16.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 2*v - 3950, 5*a - 3*v - 7904 - 1965 = 0. What are the prime factors of a?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -73b1 (base 12) to base 2.\nAnswer: -11000101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 5*y = 30. Let n(t) = -15*t + 5. Is n(y) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 85999, 85795, 85447, 84949, 84295?\n\"Answer: -v**3 - 66*v**2 + v + 86065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 4008*x**3 - 6*x**2 + 4*x. List the prime factors of l(1).\nAnswer: 2, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*h**2 - 1 + 32*h**2 + 3 - 2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1793.503563 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9250 or -9248?\nAnswer: -9248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34656 by 4.\nAnswer: 8664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 34) + -225 + 249\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.03 + -0.06. Let m = h - -4.63. What is m rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -0.2145831\nAnswer: -0.6437493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*f - 23919 + 23799 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/7264 and 107\/177968.\nAnswer: 355936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 - 49 = -11*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/32 and 9\/320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 238312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2*s**2 + 0 + 0)*(0 + s + 0) - 1 + 1 - 2*s**3 + 3*s**3 + 4*s**3 - 2*s**3)*(s + s - 3*s) to y*s**2 + r*s + p*s**3 + i + a*s**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o**5\/2 - 165*o**4\/2 + 1251*o**3 - 3198*o**2 + 2028*o = 0. Calculate o.\nAnswer: 0, 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p + 2. Let a(g) = -64*g**2 - g. Let k be a(p). Let q = -30 - k. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-4\/7)\/k*(k*k**3)\/k*(k**(5\/2)*k)**23)**1 assuming k is positive.\nAnswer: k**(1147\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -4\/3  (b) -2\/7  (c) -0.41  (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1535 - -892.6. Let d = u + 642. What is the closest to -2\/11 in 4, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + 25 + -2*1. Suppose 0*f + 24 = 2*f + 4*a, u = 4*f - 5*a. Suppose 0 = 2*w + f, -3*s + 17 + 7 = -3*w. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -41824*a*i + 3*a - 327600*i - 2 wrt a?\nAnswer: -41824*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (1872\/21632)\/((-12)\/(-26))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14302 is divided by 3284?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8.8 + 8.3. Let u = 17 - 12. Suppose -u + 1 = 4*m. What is the nearest to m in f, -5, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8144\/9 - -906. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1019ad - 97?\nAnswer: 101916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/24*2*2\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -22347 times -4\nAnswer: 89388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-6)\/(-15) + 152\/(-80)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of u**5\/10 + u**3\/6 - 2*u**2. Let a be v(2). Suppose -5*f - 5*j + 16 = -34, f = 4*j + a. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**5\/11 + 2446*d**4 + 11338304*d**3\/11 + 1023416*d**2 - 22622784*d\/11 = 0 for d.\nAnswer: -408, -2, 0, 1, 13862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 PM and 12:05 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)\/sqrt(36) - 5*sqrt(65)\/sqrt(5).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.54 - 1.5. Let w = 144 + -142. Let y be (8\/(-70))\/(56\/(-35) + w). Which is the closest to y?  (a) s  (b) -5\/3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c - 7. Let t(b) = -b**2 - 7*b - 2. Let v be t(-6). Suppose v*i - 3*r = 32, 4*i - 12 = -r - r. Let w be a(i). Put w, 3, 0 in increasing order.\nAnswer: w, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (10\/(-20))\/((-8)\/(-192))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (13 - -11) + -16\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -28.23 + 15.23. Which is the fourth smallest value?  (a) 3\/4  (b) 1\/2  (c) -2\/7  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -a - 22*u + 25*u + 8, -4*a = 5*u + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 1700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20*u + 13*u - 32*u**2 - 33*u - 12*u**2 - 107*u**4 + u**3 wrt u.\nAnswer: -2568*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 5*p = 2*m - 17, 22 = 4*m - 3*p. Suppose -23 = -5*b - 4*s + 2*s, -3*s = 2*b - m. Is 5 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 5:47 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -9951, -9647, -9141, -8433?\n\"Answer: 101*o**2 + o - 10053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5 + 2 - 41\/(-13). Let g = 49 + -195\/4. Sort g, u, 0.4 in decreasing order.\nAnswer: 0.4, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5117 rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*q**3*t - 4819*q**3 - 10*q**2 - q*t**2 + 2148*t**3 with respect to t.\nAnswer: -12*q**3 - 2*q*t + 6444*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2.837*5\nAnswer: 14.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*t + 22*t + t**2 - 9*t.\nAnswer: t**2 + 40*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5415948 and 420312.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 15285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s - 7. Let u be o(10). Suppose u*v = 11*v. What is the third derivative of 3*y**4 + v*y**3 + 146*y**2 + 0*y**3 - 149*y**2 wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -192\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*x**5\/2 - 10263*x**4\/2 + 23703*x**3\/2 + 66327*x**2\/2 + 10299*x - 5892 = 0. What is x?\nAnswer: -491, -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 4*k + 2*z, 26*k - 27*k + 4*z - 21 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/17?  (a) -6\/13  (b) 32\/11  (c) 1\/34  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -1, -5, 4, 3, 0, 41 in ascending order.\nAnswer: -19, -5, -1, 0, 3, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + -1100?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/3)\/v*v*((v*v**(-2\/53)*v)\/v)\/v)**46 assuming v is positive.\nAnswer: v**(2162\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-6\/7)\/(w**3*w*w))**43 assuming w is positive.\nAnswer: w**(-1763\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = -5*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -34*m + 1919. Determine t(56).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102998230.\nAnswer: 2, 5, 929, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1, -23, -2, 0, 2.5, -38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 27934893 and 3.\nAnswer: 83804679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -37, -5, 1 in descending order.\nAnswer: 1, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-32))\/((-18)\/8)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 + 3*h + 2. Let n be c(-2). What is the first derivative of -q**3 + 2 - 1 + n wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 146009.7422 rounded to the nearest 10?\nAnswer: 146010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(9\/(-2)) - (-21)\/9. Let w(n) be the second derivative of n**4\/12 - n**3 + n**2\/2 + 99*n. What is w(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/19 and -34\/1315.\nAnswer: 24985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 165082 + -165072. Let i(h) be the third derivative of -h**6\/120 + 3*h**5\/20 + 11*h**4\/24 - h**3 + h**2. Determine i(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -90*m + 238 + 541 - 59 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3, -91, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/(-4)*4\/18. Let m = 10623\/2 - 5310. What is the third smallest value in s, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -94111780*w**5 - 2929*w + 4271 wrt w?\nAnswer: -1882235600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 12:22 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-462)\/(-33) + -1 + 2*1. Suppose p*i - 14 = 16*i. What is the hundreds digit of (30\/(-4))\/((i\/36)\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 3*s = 12. Let d(l) = l - 3*l**2 + s + l**3 - l**2 - 3*l - 4*l. Calculate d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.2 - 1847.99\nAnswer: -1851.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 l when three letters picked without replacement from ltllqtllzllzl.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13781803633.93 + -2.62.\nAnswer: 13781803631.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 24\/8 + -2 + 0. Let t(l) = -5*l**3 + l**2 - 3*l. Let c(z) = z**3 + z**2 + z. Calculate k*t(h) + 3*c(h).\nAnswer: -2*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -k**5\/120 + 79*k**4\/48 - 187*k**3\/3 - 4459*k**2 + 1. Let s(j) = 0. What is j?\nAnswer: 11, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -1. Let l = 313 + -313. Which is the closest to -1?  (a) l  (b) p  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4*v - 3)*(3*v**2 + 0*v**2 + 0*v**2).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13 + 3. Let f = c - 3. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -69419 and -0.1.\nAnswer: -69419.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.13346 minus -410?\nAnswer: 408.86654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.67982 + -0.5055. What is j rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 11) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from iviwooii?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165994 is divided by 76?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3 - ((10 - (-4 - -18)) + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16438862 is divided by 54.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l\/(l\/(l*l*l**(-26))))\/l*l\/(l*l**(-7))*l)\/(l**(-2\/17))**(-28) assuming l is positive.\nAnswer: l**(-328\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1374, 2190, 3258, 4572, 6126, 7914, 9930, 12168?\n\"Answer: -h**3 + 132*h**2 + 427*h + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rffrrf. Give prob of picking 1 f and 1 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2617*x + 3648*x - 2333*x as s + u*x and give u.\nAnswer: 3932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56573834 is divided by 1533.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 2*a**2 + 2*a)*(44*a - 44*a - 18*a**2) + 2*a**4 + a**4 - a**4.\nAnswer: -34*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1408 - -1807?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3563293 centuries to decades.\nAnswer: 3.563293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*d - 48*d - 213 = -4*g, 0 = -d - 2 + 19. Let q(o) = 0*o**2 + 0 - 3*o**2 + 2*o**3 + 1 + o. Calculate the remainder when g is divided by q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38\/(-190)*(-20)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 31824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10245405*i**5 - 3*i**2 - 14701905*i?\nAnswer: -614724300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -47?  (a) -3  (b) -1\/5  (c) 2\/921\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10941994 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6431 * 0.8.\nAnswer: -5144.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3626*i**2 + 3626*i**2 + i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**2 - 73*v + 26615. Is i(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3288, 15005, 46818, 108777, 210932, 363333?\nAnswer: 576030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-11)\/((-132)\/8))\/((-4)\/786). Let m = 135 + i. Solve -m*g + 3*u = g + 10, -2*u = 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -146*a + 1024. Let f be n(7). Solve 3*t = 0, f*w + 4 = -0*t + t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(140\/18)*(-320)\/(-768)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**4 + 4*a**4 + 0*a**4)*(a - 7*a - a) - 2*a**4 + 0*a**4 - 56*a**5 + 58*a**5 - 6*a.\nAnswer: -26*a**5 - 2*a**4 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009805032 to 5 dps.\nAnswer: 0.00981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1557\/44317 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*1 + (-44)\/(16456\/3298)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 65 + -188\/3. Suppose -5*b + 195 = 4*l - 0, b - 3*l = 20. Find the common denominator of (-164)\/b - 6\/(-21) and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 23*t**2 - 16*t + 13. What is j(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1017951 is divided by 91?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*b + 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - m + 2*m)*(2*m - 3*m - m)*(-3*m**3 + 2*m**3 + 5*m**3).\nAnswer: -16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7976747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 172014.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = j - 17. Let t = 39 - j. Let u = 26 + -20. Calculate the remainder when t is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 5*t + 9. Let d be u(-6). Suppose 3*x + 3*f - 116 = 5*f, -x - 4*f = -34. Let v = x + d. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -63*b*g*w**3 - 16*b*g*w**2 - b*g*w - 1431*b*w**3 + 15*b*w**2 + b*w - g*w**3 + 2*g*w**2 + 2*g*w + 2*w**3 wrt w?\nAnswer: -378*b*g - 8586*b - 6*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 7081069 - 2518931. Round r to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((1 + 0)*0)\/(-3). Suppose c = a + 4 - 20. Find the third derivative of 7*x**2 + a*x**6 + 7*x**2 + x**2 wrt x.\nAnswer: 1920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2881249\/4456881 + -1\/135057. Calculate the common denominator of t and 0 + 2 - (-255)\/24.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 1. Suppose -c = -s - 6. Let i = c + -1. Solve -1 + i = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1505 - -1572.16. Let r = j + -71. What is r rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226*z + 236 = 201*x - 197*x + 188*z, 3*x + 3*z = 51 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 9) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -41 - -39. What is the units digit of 15 + 6*q\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 1 - (-45 - -44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 e when three letters picked without replacement from zezzzzzrzzzzz.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3537, -3567, -3653, -3825, -4113?\n\"Answer: -5*o**3 + 2*o**2 - o - 3533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5110)\/(-189) - (-5 + (-1224)\/(-243))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -64, -278, -632, -1120, -1736, -2474, -3328, -4292?\n\"Answer: m**3 - 76*m**2 + 7*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*y**4 - 155128492*y**2 + 241913333 wrt y?\nAnswer: 8*y**3 - 310256984*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-558)\/1860*(-4)\/(-3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - 23*l**2 + 81*l + 40. What is n(-26)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/((-3*sqrt(36))\/sqrt(6)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (35 - 40 - (-11 + 1)) + -5 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -5*g**3 - 36*g**2 - 7*g + 10. Calculate the remainder when 202 is divided by q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 450247178.\nAnswer: 2, 3833, 58733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45 + (26 - 19 - (8 + -1 + (22 - 16))).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 168\/8 - 185087\/9457.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -24687 divided by -8229\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2*m. Let n(s) be the second derivative of 5*s**5\/8 - 7*s**3\/6 - s**2 + 82*s. Let l(a) be the second derivative of n(a). What is l(f(z))?\nAnswer: 150*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3250)\/(-91))\/(4\/74). Let j = r + -661. Let y = 3 - 7. What is the third biggest value in j, 1, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (143 - 1 + 21)*(-p + 5*p - 2*p)*(0 + 1 - 3) in the form x + n*p and give n.\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/4)\/((-9)\/24). Let m be 8 + (-3)\/((-3)\/(-2)). Suppose -2*v - 9 = 3*c, m*c - 7*c - 3 = 0. Put 4, v, r in decreasing order.\nAnswer: 4, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, s: 13}. What is prob of picking 1 s and 1 f?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-91))\/(2\/(-169))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - (0 + 0)) + 8 + (-6 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1  (b) -5  (c) 150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -61*t + 646. Let l be o(10). Solve -15*m + l = -39 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21398 + k**4 + 2*k + 21096 + 7*k**3 - 42235 to c*k + g + b*k**3 + r*k**4 + m*k**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 4 + 0*f + 9*f + 2*f + f**2 - 6*f. Let v be s(-3). Let q(r) = -5*r. Let g(p) = -81*p. Let j(l) = v*g(l) + 33*q(l). Let b(z) = -z. What is b(j(k))?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -302, -1731, -4106, -7421, -11670, -16847?\n\"Answer: r**3 - 479*r**2 + r + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 4*z - 5, -3*s - 2 = 5*z - 15. Factor 7*u**5 + 3*u + 2 + u**2 - 14*u + 3*u**3 + u**3 - 16*u**4 + 13*u**z.\nAnswer: (u - 1)**3*(u + 1)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -47 + 24 + 18 - 20*u**2 + 59*u**2 in the form l*u + r*u**2 + m and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -502, -501, -500, -499?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-35)\/(-15) - 234\/(-351)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*x**2 + 330315*x + 2498950 = 0.\nAnswer: -9430, -53\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28 in -9, 0.0506, -0.3?\nAnswer: 0.0506","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-21)\/2)\/(49\/82376*42\/(-49))?\nAnswer: 2, 7, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-115)\/60)\/(7\/28).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.0346 - -0.0346. Which is the second biggest value?  (a) q  (b) -5  (c) 0.07  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 66722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -3\/638?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of y**7\/5040 + y**6\/720 - 5*y**4\/4 - 14*y. Let h(i) be the third derivative of u(i). Determine t, given that h(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + z - 2*z)*(-47 - 30 + 30)*(3 + 0 - 1).\nAnswer: 282*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190) + (sqrt(190) - (3*-1*sqrt(190) + sqrt(190))))\/((-2*sqrt(70))\/sqrt(7)) + ((sqrt(152)*-2)\/sqrt(8) + sqrt(19) - (4 + sqrt(19)*5 + sqrt(19))).\nAnswer: -9*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7989410.\nAnswer: 2, 5, 11, 13, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2. Let n(d) be the second derivative of d**4\/6 + 5*d**3\/6 + 197*d. Calculate n(p(m)).\nAnswer: 2*m**4 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(77)\/(sqrt(847) + sqrt(847)*-2).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - -15) + (0 - (-3 + 1)) + -9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1542913 to the power of 1\/2, to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*l + 21*l + 308 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-27)*(-36)\/(-40)*105\/9\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(0\/(-1) - 3\/((-30)\/20))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*b + 5 + 8 = -67 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 8 = 2*m, 2*d + 2*m = -d - 11. What is the closest to 5 in -0.4, d, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -644.5 + 646.5. Which is the third smallest value?  (a) 3\/10  (b) 2\/9  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-5))\/w**(-1))\/(w**0)**(1\/42) assuming w is positive.\nAnswer: w**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-38) - ((-9314280)\/4104 + (-12)\/9). Is s at least as big as 2271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -50*f**2 - 102*f**2 - 52*f**2 - 33*f + 33*f to d*f**2 + x + v*f and give d.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k**2 - 9*k - 8. Let g be y(4). Suppose 0 = -h + 5*i - g, 0 = h + 6*i - i - 36. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*o - 1528 + 3*o - 9*o - o.\nAnswer: -14*o - 1528","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -2*f. Let s(k) be the third derivative of 1\/60*k**5 + 11\/6*k**3 + 0*k + 1\/24*k**4 + 0 - 2*k**2. Calculate s(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20264536 a multiple of 568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/297 and -19\/349382.\nAnswer: 9433314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 55632024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 - 15*t**2 - 9*t - 19. Let p be l(-15). Suppose -2*c - 2*a + p = 0, 3*c + 0*a - 169 = -4*a. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**2 + v + 2. Let j be h(-3). Let b(c) = -4*c + 8 - j. Let i(z) = 2*z. Determine b(i(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n and 1 y when four letters picked without replacement from nnnznffpnpynynn?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 6:00 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 13140724 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 974?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 554 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 388*a**5 - 3640*a**4 - 16368*a**3 - 23384*a**2 - 14164*a - 3120 = 0.\nAnswer: -1, -60\/97, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8950725?\nAnswer: 3, 5, 7, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -40 + 73. Find the common denominator of (-1289)\/(-132) - 6\/h and 1706\/(-468) - 8\/(-36).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51 - 38. Suppose -9*t = -v*t - 120. Let g = 41 + t. Solve -j - g = j - l, 29 = -5*j + 4*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s**(3\/4)\/s)*s**5*s)**(-3\/13))**(-4\/9))**(-27\/5) assuming s is positive.\nAnswer: s**(-261\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the third derivative of j**6\/15 + 233*j**5\/5 + 173*j**4\/3 - 698*j**3 - 152*j**2 - 15*j. Determine z, given that h(z) = 0.\nAnswer: -349, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 37*p - 39*p + 272, 4*z = -p - 284. Find the common denominator of (-95)\/64 - z\/56 and ((-2)\/(-12))\/(22\/(-18)).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40600789015*o - 40600789015*o + 6*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -63 smaller than 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 4 + -10 - (-19 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.3 - 0.3. Let n = -3 + 3.05. Let o = 0.05 - n. Sort 1, z, o.\nAnswer: o, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of r**4\/6 + 430*r**3\/3 + 46225*r**2 + 1656*r. Factor d(l).\nAnswer: 2*(l + 215)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -k*r**3 + 6*k*r**2 - 31*k*r - 8*k - 255*r**3 + r**2 wrt k.\nAnswer: -r**3 + 6*r**2 - 31*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19506*g - 11776 = 19874*g for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -232*g - 5. Let y(h) = 232*h + 4. Determine -5*l(n) - 6*y(n).\nAnswer: -232*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*m + k = 26*m - 90160, -210400 = -7*m - 3*k. What are the prime factors of m?\nAnswer: 5, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4399233?\nAnswer: 3, 23, 103, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4649435911.\nAnswer: 4649435911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 5*g + 2*m - 16, -5*g + 3*m = -9. Let z = -1 + 1. Sort -2, z, g.\nAnswer: -2, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-9)\/(-6)*95151\/144. Let h = m - 991. Is 1 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-90)\/(-180) - 6\/4. What is the second smallest value in -5, t, -225, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -475, -475, -473, -469?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*z - 44 - 212 = -70 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/(-2)*8\/(-6). Let u be (-10)\/(-100)*85 + -8. Let o = -5.8 - -6. What is the nearest to o in -2\/9, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 777465, 777478, 777491?\n\"Answer: 13*d + 777452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12735734 and 484?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 23*p + 85. Let w be d(-4). Let k(z) = -41*z - 47. Does 16 divide k(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a31732 + -4?\nAnswer: a3172a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 10:04 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -2. Let t(b) = 4*b**2 - 3*b - 2. Let m be t(f). Suppose 0 = 3*x - d - 46, 4*d - 71 = -0*x - m*x. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**2 + 0*y**2 + 4*y**2)*(-4 + 4 - y) - 2*y**3 + 2*y**3 - 2*y**3 + (5*y - 3*y - 3*y)*(2*y**2 - 4*y**2 + 3*y**2) - y**3 - 2*y**3 + 2*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 3*k. Let m(x) = x**2 + x - 1. What is 3*m(y) - n(y)?\nAnswer: 3*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (116 + 76 + 14)*(0 - 3 + 14)*(-2 - 1 + 1)*(t + 0 + 0) to d*t + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, u: 2, b: 2, v: 1, s: 1, r: 7}. What is prob of sequence urv?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 24  (b) -2.96  (c) -0.4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of 0*k**2 + 2\/5*k**6 + 12*k + 0*k**5 - 13\/12*k**4 + 0*k**3 + 0. Find the third derivative of j(y) wrt y.\nAnswer: 288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccea when four letters picked without replacement from jaaccnsaeacccnjanec.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.148413737 rounded to five decimal places?\nAnswer: 0.14841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -77\/4*r**4 - 5*r - 3\/2*r**2 + 137 + 0*r**3. Find the second derivative of f(k) wrt k.\nAnswer: -462*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c + 0*c**3 - 2*c**3 + c**3 + (1 - 1 + 8)*(-24*c**3 - 33*c**3 + 78*c**3).\nAnswer: 167*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2. Let p(v) = -225*v**2 + 65*v + 65. Let b(x) = -7*x**2 + 2*x + 2. Let s(r) = 195*b(r) - 6*p(r). What is c(s(d))?\nAnswer: 225*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1118.5 in 0.5, 7.7, -24?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -6773, -13202, -19375, -25298, -30977?\n\"Answer: -t**3 + 134*t**2 - 6824*t - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*m**3 - 4*m**3 - 4*m**3.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 15*d + 108. Let i(j) = -4*j**2 - 33*j + 14. Let l be i(-8). What are the prime factors of a(l)?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, b: 4}. What is prob of picking 1 b and 2 h?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 76 - 78 + 7*c + 193 - 59 + 9*c.\nAnswer: 16*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 9, -3*t + 1 = 3*n - 5. Suppose -2*z = -z - 23. Suppose 3*f - 3*u - 19 = -5*u, 3*f - z = -u. Solve 21 = -n*v - w, 4*v - 2*w = -f - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5006230 greater than 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-35)\/(-15) + (-3)\/9. Suppose w*c = -9*c + 66341. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-24)*-142 - 39\/(-234). What is the greatest common factor of 156 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-one halves of a day in hours?\nAnswer: 1092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -505*t + 29290. Give z(58).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -16. Suppose 5*x + 52 = 4*k, -x = -3*k + 9 + 30. Suppose 3*f = -4*o - k, o + 2 - 7 = 2*f. Which is the third smallest value?  (a) l  (b) 1\/2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29 and 15863.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**2 - n + 27. Calculate m(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 7  (b) -4  (c) 14  (d) 262  (e) -0.1  (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1101 + 1?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 662 is divided by 396.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 161, 341, 521, 701, 881?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 16*z - 192. Let g be s(20). What is the greatest common factor of g and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-8)*t**(-2\/35))**(-10\/11)\/((t**(2\/9)\/t)\/(((t\/t**(-4\/3))\/t)\/t)*t**(-8)*t\/(t\/t**(-8\/5))) assuming t is positive.\nAnswer: t**(62494\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 - 1 - 15\/(-40). Put 2, -5, d in descending order.\nAnswer: 2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (17\/(255\/(-264)))\/((-4)\/11600). Round c to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {q: 1, h: 1, y: 2, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100110020210111 (base 3) to base 6.\nAnswer: 255403451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1466 divided by -4?\nAnswer: 733\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/(-30) - (-4)\/(-10). Let a be y + 2 + (2 - 3). Let v = a + 2. Solve -v*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 + -2)*1\/(-1). Let u be -2 + 5 + 114\/(-30). What is the fourth biggest value in u, -2, 0.5, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (5*(-2 + sqrt(468) - sqrt(468)) - (sqrt(468) - (sqrt(468) + 0)*-4)))**2.\nAnswer: 720*sqrt(13) + 11844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 111607 and 958.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -860*x**2 - 17483792*x + 162640.\nAnswer: -4*(x + 20330)*(215*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/6)*a*a**(-3\/10))**(-6\/23) assuming a is positive.\nAnswer: a**(-26\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*p**5*x**2 - 21*p**2*x**2 + 8*p*x**2 + x**2 + 3*x wrt p.\nAnswer: -40*p**3*x**2 - 42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22 + 64\/3. Let c = 47 - 48. Sort h, 1\/8, c in decreasing order.\nAnswer: 1\/8, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*4*130\/(-5772)*66\/55?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 195 + -194. Let z(v) = 558*v - 10. What are the prime factors of z(h)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -570 + 627. Let n be 0 + 2 + -3 + 4. Calculate the highest common divisor of p and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 385 + 356 = 5*z - x, 5*z + 2*x - 753 = 0. Let n = -94 + z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from atckcky. Give prob of sequence tk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -173*l**3 - 163*l**3 + 494*l**3 - 81*l**3.\nAnswer: 77*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from jxlljbr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 1*sqrt(704) - 1*(sqrt(704) - (sqrt(704) + sqrt(704) + sqrt(704) + 0)) - -4*(-3 + 1 + sqrt(704) + sqrt(704)))**2.\nAnswer: -528*sqrt(11) + 85193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -443 times -4?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1418 + 1616. Calculate the highest common divisor of 36 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) -72889  (c) -4  (d) -0.3  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 397 and 26630.\nAnswer: 10572110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/19218 and -19\/19218?\nAnswer: 19218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(4\/7)\/b)\/(b\/(b\/(b*b**(-2\/15)\/b*b))))**(-34) assuming b is positive.\nAnswer: b**(4624\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 10 * -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/(-3))\/(48\/(-45) - -1). Let l = z - -4. Calculate the remainder when 405 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1154172 + 5?\nAnswer: 1154177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/22 + 488114\/82522. Is 7 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kuk when three letters picked without replacement from uukukkuuuukuuuuuuuuk.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n - 1 - 1 + n)*(0 + 0 + 2)*(5274 - 5274 - 51*n)*(0 + 0 - 2).\nAnswer: -408*n**2 - 408*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252*i - 238 = 14*i. What is the third biggest value in i, -113, 5\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2361 = -u - 2*u. Suppose 44*j - 5 = 43*j. Suppose u = 4*r - 3*n, 0 = j*r - 2*n - 1067 + 78. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, s: 3}. Give prob of sequence ssj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*o - 3*o = 660. Suppose 5*u = 4*u. Suppose u*d + o = 3*d. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -425\/82754 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -1353*z - 2572. Determine l(-2).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 82*g = 83*g - 13, -5*u - 3*g + 49 = 0. Let y be (2\/(-6))\/(3\/(-9)). Let z be ((-3)\/2 + y)*-4. Solve u*s - z = 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1080 and 180?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 10:47 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 14*h - 563. Give l(40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4158 - -4302. Are u and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - 24*z**2 - 2*z + 37. Let b be g(24). Let u = b - -15. Suppose 5*d = -5*x + 7515, 2*x + 2*d + 2998 = u*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127 - 592 + 348 + 117 + 11*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 AM and 9:28 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 22*b + 455. Let t(k) = 7*k + 130. Let c(u) = 2*a(u) - 7*t(u). Let n(p) = 232*p. Calculate c(n(y)).\nAnswer: -1160*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8469 is divided by 8459?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6783 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 790793483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 21, 4, -10 in descending order.\nAnswer: 21, 5, 4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -26.03 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of 4*t - 1\/4*t**4 - 3 - 5\/3*t**3 + 0*t**2. Calculate k(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b**2 - 47*b - 35. Calculate the remainder when 96 is divided by t(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109315374 a multiple of 1280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -60087 or 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/(-49))\/(5\/(-7))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-2\/5))**(-10\/13)*(a\/(a*a**(1\/3)\/a))\/((a*a**(4\/9))\/a) assuming a is positive.\nAnswer: a**(-100\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 20714 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 5*t - 29. Suppose -141 = 4*d - d. Let n = t - d. What is the remainder when 53 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 58298 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -33413\/5 - -4565373\/680. Let w = -630\/17 + b. Find the common denominator of -63\/4 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 7.2, 0.3, 3, -0.5, -6, -0.4.\nAnswer: -6, -0.5, -0.4, 0.3, 1, 3, 7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2142576\/155 + 13823. Calculate the common denominator of j and -32\/35.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15\/28 + -79\/252. Let d = 7.668 + -2.668. Sort d, 0, r in ascending order.\nAnswer: 0, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -278188314 by 1.\nAnswer: -278188314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -33, -61, -3, 11, 14, 5 in ascending order.\nAnswer: -61, -33, -4, -3, 5, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12145.\nAnswer: 5, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 + -22539208.\nAnswer: -22539212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-32)\/(-48))\/((-4)\/(-150)))\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.84904 - 0.74904. Let t = -0.04 + 0.01. Which is the second biggest value?  (a) t  (b) r  (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 37163*x**3 + 2*x**2 - 755*x - 63 wrt x.\nAnswer: 222978*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8971.248 years to decades.\nAnswer: 897.1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -188*a**2 - 6041*a - 324. Let r be h(-32). Let m = 289 + -153. What is the highest common factor of r and m?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of -17*y**8\/56 + 23*y**4\/4 + 100*y**2. Find the second derivative of f(p) wrt p.\nAnswer: -2040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -3*m - 3. Let p be 12\/30 + (-13)\/(-5). Let a be (2 + p)*(-8)\/20. Let t be b(a). Solve 4*f + t*l + 14 = 0, 0*f - 5*f - 2*l = 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 436, 1, -141, -2, -4, -1 in decreasing order.\nAnswer: 436, 4, 1, -1, -2, -4, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -10*t**2. Let y(r) = 161*r**2. Calculate -63*c(s) - 4*y(s).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 + 35 = 3*h. Suppose 0 = f - h*f + 9387. List the prime factors of f.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 9, v: 3, x: 4}. What is prob of sequence kk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -68729, -137413, -206049, -274637, -343177, -411669, -480113?\n\"Answer: 24*a**2 - 68756*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 1528 = -288. What is q rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1763)\/(-1)*2\/(-24). Let x = 147 + d. Let c = 14 - 13. Is x greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 5057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -3*v + 146 - 56, 5*p + 4*v = 472. Suppose -p = 7*j - 3*j. What is the common denominator of -55\/9 and ((-74)\/j)\/(1\/(-3))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 4. Suppose 204 = 3*f + i*z, 4*f = f + 3*z + 189. Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of -p**6\/120 - p**5\/10 - 5*p**4\/24 - 9*p**3\/2 + 15*p**2. Let l be h(-6). Suppose -3 = -l*n + 2*n. Solve -n*q + 2*q = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-20)\/(-20) - (-7)\/(-1)*-602.\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 2\/3  (b) 5  (c) 2\/11  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 57*u**3 - 1056*u**2 + 5373*u - 4374 = 0.\nAnswer: 1, 162\/19, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of -u**4\/12 - 7*u**3\/6 - u**2\/2 + 34*u. Let y be (-2)\/(-3) - 28\/6. Calculate c(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 5*c = 40, 4*q - 239 = 6*q + 4*c - 221 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(605)*-1)**2 + 1.\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 3*v = -9, 0 = -4*f - 5*v - 13 - 16. Let w be -2*(-3)\/f*1. Put 5, w, 4 in decreasing order.\nAnswer: 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -5*g**3 + 2*g**2 + 4*g + 4. Let j(c) = -c**3 - c**2 - c - 1. Let w(u) = 3*j(u) + k(u). What is w(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 4*z - x + 3*x, -x - 4 = 0. Let j be (-2)\/(-10)*z - -2. Suppose 0 = 5*y + 4*v - 9, -4 = -3*y - 2*y + v. Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -5*p - 9*p + 31*p - 9*p - 7*p. Let z(y) = 103*y**2 - 5*y. Give z(d(s)).\nAnswer: 103*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 5 = 3*w, -14 = 5*t - 4*w - 39. Suppose -2*b - 23 = -t*c + 2*b, -4*c = -3*b - 18. Let d = c + 1. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7375 + -7296. Calculate the remainder when 191 is divided by s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1309 - 1309 + 98*q**2 + (0 - 10 + 2)*(-2*q**2 + q**2 + 0*q**2) to i*q**2 + l + k*q and give i.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -46230 (base 15) to base 16\nAnswer: -3680d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11747903 is divided by 1252.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eox when three letters picked without replacement from ixlieyoieyxyixi.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 1:00 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 - 14. Let x(z) = z**3 - 5*z**2 - 3*z - 2. Let p be x(l). Solve -2*f - 4*n - p = -4*f, n = -2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 10 + 40. Let u be 1 - -2 - 0\/3. Let i be (2\/3)\/(1\/u). What is the highest common factor of i and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -12*b**2. Let c(t) = -126*t - 36. Let h(m) = 4*m + 1. Let u(n) = 3*c(n) + 108*h(n). Give f(u(g)).\nAnswer: -34992*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 804 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 139 + 180*o**2 - 31 + 2*o - 181*o**2. Is a(0) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 27\/211, -0.6, 4, -0.1, -3, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -209 + 910. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 728 + -669. Is 59 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -421 - 0.9831.\nAnswer: -421.9831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4\/99 - 47\/1980. Let h(t) be the third derivative of 0*t**4 + 3*t**2 - o*t**5 + 0*t**3 + 0 + 0*t. Let p(i) = -3*i**2. Determine p(h(c)).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 129\/5514460 and 97\/56270.\nAnswer: 5514460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -679870467 - 100623\nAnswer: -679971090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32 + -31.6. Put -3\/4, 4, y in descending order.\nAnswer: 4, y, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 79 - c**2 + 53 + 363*c + 2*c**2 - 364*c to p + x*c**2 + r*c and give p.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1381\/7 + -197. Let x = 119 + -115. Which is the nearest to -0.1?  (a) z  (b) x  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 + -12. Let x(f) be the first derivative of -2*f**3\/3 - 3*f**2 + 8*f - 6. Let n(o) = 0*o**2 - o**2 + 15 - 11*o - 3*o**2. Determine z*x(k) - 6*n(k).\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/((d\/d**(-6))\/d))\/(d\/(d**(-7)\/d)*d))**(2\/61)*((d*d**(-4)*d)\/d)\/d**3*((d*d**(-1)\/d)\/d*d)**(4\/9) assuming d is positive.\nAnswer: d**(-3808\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5609?\nAnswer: 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 956029279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -1472806.\nAnswer: 2\/736403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t**2 + 9 - 8 - 1.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*756.4.\nAnswer: -756.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 747676 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 45 = -j. Suppose -2*c + j - 7 = 0. Let v = c + -6. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 413033 to the nearest one hundred.\nAnswer: 413000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-1\/3)*g*(g*g**(1\/14)\/g*g)\/g*(g**(-3\/2))**(3\/19) assuming g is positive.\nAnswer: g**(200\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 2425878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -0*c - 32. Let s(t) = -21*t + 101. Let a be (7 - 6)*((-6)\/(-2) + 1). What is the remainder when c is divided by s(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -7586*w**2. Let h(s) = -301*s. What is h(a(t))?\nAnswer: 2283386*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 4876*t**3 + 92*t**2 - 8993*t - 46. Let h(v) = 542*v**3 + 10*v**2 - 999*v - 5. Let k(s) = 46*h(s) - 5*n(s). Find the second derivative of k(i) wrt i.\nAnswer: 3312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -480 = -5*q - 2565. Is (2 + -4)\/(6\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -610, -604, -598, -592, -586?\n\"Answer: 6*a - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + 5*g - 3*g)*(1 - g + 0 + 0).\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 - 19*k**2 - 17*k + 20. Let x be n(-18). Suppose 0 = -x*q + 2*o + 2, o - 21 - 8 = -4*q. Solve z - 2 + q = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 + 19*o**2 + 21*o + 59. Let t be i(-18). Which is the closest to -0.1?  (a) -1  (b) 0.1  (c) 2  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of f**3 + 9*f**2 + 20*f - 2. Let i(k) = -2*k**2 - 12*k - 13. Let n(z) = 8*i(z) + 5*j(z). Give n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -55 + 46. Let v = s + -6. Let n be ((-10)\/v)\/((-1)\/(-3)). What is the highest common divisor of n and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -3, 3\/4, -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*w - 9023 + 468 = -71*w for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 4*o - 3*b + 14, o = -3*b + 4. Let a(q) = q**3 + q**2 - 3*q - 5. Let d be a(-2). Let c be (-26)\/91 + 24\/(-14). Sort c, o, d in decreasing order.\nAnswer: c, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -12, -3\/7, 58\/53?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -74 + 121. Solve l + r = 44 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*c*g*n**2 + c*g + g*n**2 + g*n + 167*g + 3*n wrt n.\nAnswer: 4*c*g*n + 2*g*n + g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of 583*r**4\/24 - 352*r**3\/3 - 2*r**2 + 101. What is the first derivative of l(w) wrt w?\nAnswer: 583","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6*644\/(-546) - 1*(-5 - 1). What is the third smallest value in o, -3\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.024 < -3326716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -52 (base 6) to base 4\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 + 8*s + 2. Let t be p(13). Let q = t - -90. Suppose 0 = -11*d + 2*d - q. Put -6, d, 5 in increasing order.\nAnswer: -6, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.851 to one decimal place.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7\/4 in -3, -0.1, 1, 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -7*m**2 - 7*m - 9. Let i(g) = -13*g**2 - 15*g - 17. Let y(l) = -6*i(l) + 11*q(l). What is y(-9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -33*h**3 - 22*h**2. Let w(k) = 4*k**3 + 168*k**2 - 7*k**3 + 2*k**3 - 169*k**2. Give -u(b) + 22*w(b).\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 155010.96 months to years.\nAnswer: 12917.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - 1) + 23\/(-46). Sort o, -0.02, -3.\nAnswer: -3, o, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 3\/4*n**4 + 9\/2*n - 3*n**3 + 3\/4*n**2 + 0 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.07*-34815.15.\nAnswer: 2437.0605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o\/(o*o\/(o\/(o**(1\/3)*o))*o))\/o*o)**(-32)\/(o\/o**(-3\/7)*o*o**(-2\/21)*o)*(o**(2\/17)\/o*o*o**(2\/9))**(-4\/9) assuming o is positive.\nAnswer: o**(53954\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 45555 (base 9) in base 11?\nAnswer: 20886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, -4, -396, 1, 0 in descending order.\nAnswer: 19, 1, 0, -4, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 - 45. Find the second derivative of 3*l - 11*l**5 + l + f*l**5 - 3*l**5 wrt l.\nAnswer: -280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74 = y - 6*y - 49, -4*y = 3*n - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 3  (b) 2\/3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4199 and 101099?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00226788385 to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2\/25969733?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert d8432 (base 14) to base 16.\nAnswer: 7f7cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1008)\/(-300))\/14*(4\/8*2)\/(-1).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let q be (87 - -4) + 0\/2. Let w be 23*(5\/10)\/(4\/40). Let i = w - q. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -86*y**2 + 7*y + 5. Let z(a) = 42*a**2 - 3*a - 2. Give 2*c(n) + 5*z(n).\nAnswer: 38*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2\/19)\/x)\/x*x\/(x*x*x\/(x*(x**2\/x)\/x)))**(-40\/7) assuming x is positive.\nAnswer: x**(2360\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p - 3*p = 90. Calculate the highest common divisor of p and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(85) + sqrt(85)*2) + sqrt(85) - (sqrt(85) + (sqrt(85) - (2*sqrt(85)*2 - sqrt(85)))))\/(sqrt(30)\/sqrt(6)*-3 - -1*(sqrt(5) - sqrt(20)\/sqrt(4))).\nAnswer: 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by 60952.\nAnswer: -11\/60952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 96 = -5*k + k, -5*f - 90 = 5*k. Let r = -3706 + 3623. Let n = k - r. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -6*3\/(-81) - 562\/18. Which is bigger: p or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -24*a*c**2 - 415*a - 19382*c**2 wrt a.\nAnswer: -24*c**2 - 415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/(-4) - 44\/(-8). Let k be (s\/5)\/(2\/(-10)). Let l be 2\/(-1) - k - -2. Solve -6 = 2*j - l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2304 + -0.2304. What is the closest to s in -2, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + 7*f - 10. Let r = 22 + -11. Suppose -36 = -7*h + r*h. Calculate l(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1468 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of 6 + 0*z**2 - 2\/21*z**3 + 2\/7*z. Factor u(x).\nAnswer: -2*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2238*p**3*u**2 - 925*p*u**2 - 2*p wrt p?\nAnswer: 13428*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 12:39 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -19*z**2 - z. Suppose -h + 14 = 5*j + 5, 0 = -4*j + h. Determine m(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**2\/7 + 1392*r\/7 - 4194\/7 = 0. Calculate r.\nAnswer: -699, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -297, -1108, -2439, -4296, -6685, -9612, -13083?\n\"Answer: -b**3 - 254*b**2 - 42*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 104497469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.34 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 4015.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*f**2 - 42*f**2 + 37*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3433722418 to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24.485*148.\nAnswer: 3623.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five halves of a kilometer in meters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.25 + 0.25. Let t(r) = r**3 + 15*r**2 + r + 11. Let m be t(-15). Let i = 0.04 - 0.34. Which is the nearest to i?  (a) -0.2  (b) h  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 + b**2 + 25366*b + 101499. Give g(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -335 - -334.5. Which is the smallest value?  (a) 61  (b) n  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2. Let b = -3 + 2. Let m be ((-6)\/3 + 0)*b. Let i(l) = -l**m - 2*l**2 + 2*l**2. Give i(d(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/25 in -0.3, -2, 5, -4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1781 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together -10 and -47.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9\/(-6)*-2*3. Let j(b) be the first derivative of 0 + l*b**2 + 2 + 1 + 27*b + b**3. Find x, given that j(x) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 0, -288, -96 in ascending order.\nAnswer: -288, -96, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 2*m - 3*m + 141, 2*s + m - 71 = 0. Suppose 5*b - s = -0*b. Calculate the remainder when 13 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1863804227.\nAnswer: 31, 60122717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11 + -50?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -6*m - 3. What are the prime factors of i(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c - 2. Let x(o) = -2*o**2 - 13*o - 35. Give -6*f(k) + x(k).\nAnswer: -2*k**2 - k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6323215 centuries in years?\nAnswer: 63.23215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30619\/40110 + 174\/191. Calculate the common denominator of q and 27\/154.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 8) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/868 and -113\/1638?\nAnswer: 101556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (16\/40)\/(2\/400). Let o be ((-12)\/16)\/((-15)\/m). Suppose -o*p + 140 = v + 3*v, -31 = -p + v. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78 - 120 = 14*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q**3 + q**2 + q + 2. Let n(t) = -12*t**3 - 7*t**2 - 8*t - 346. What is n(y) + 7*z(y)?\nAnswer: 2*y**3 - y - 332","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 129, 222, 325, 444, 585, 754?\n\"Answer: k**3 - k**2 + 89*k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + -120?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -40203, -78386, -116567, -154746, -192923?\n\"Answer: k**2 - 38186*k - 2018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 91, 89, 85, 79, 71, 61?\n\"Answer: -y**2 + y + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.47 - -0.17. Let t = -0.42 + 0.02. Let o = t - -0.9. Which is the smallest value?  (a) i  (b) 0.3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**3 + 426*d**2 + 1743*d + 1314.\nAnswer: -3*(d - 146)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 5*t = -3105, 3*t + 3095 = 5*h + 8*t. List the prime factors of h.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30167003 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 671 and 768661.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-8 - (8 - 16)) - 12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, n: 7}. What is prob of picking 1 r and 2 n?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -5\/21, -0.11, -0.002?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 791344 is divided by 490?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -4*n + 88. Suppose 2*y - l + 51 + 4 = 0, l + 1 = 0. What is the least common multiple of (-8)\/y + 68\/7 and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 722067?\nAnswer: 3, 233, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -151420 + 2563?\nAnswer: -145524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 35 = -3*s - 4*p, 2*p - 30 = 2*s. Let j = 2 - 0. Let t = j - s. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -305  (b) 1  (c) -2  (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2965 greater than 118629\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15790 or 15810?\nAnswer: 15790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 130*b**2 + 141*b - 74452?\nAnswer: 260*b + 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -582*w + 36589 = 12727 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of j**3*y - 7*j**3 - 14235*j**2*y - 2*j**2 - 21*j*y - 4948 wrt j?\nAnswer: 6*j*y - 42*j - 28470*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 2. Let b(s) = 6*s**2 - s**2 + 5*s - 6 - 4*s**2. Let m be b(h). Let q(y) = y - 1. What is q(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2567 - -827. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = -4*l + 11, 2*a + 8 = 4*l + l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115036 + 90935 = -5362*i - 44717 - 172910 for i.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 535 a factor of 6031820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 368 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 11:45 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 - 2*x**2 + 1. Suppose 25 = 5*k - 5*g, -2*k + k - 1 = g. Let v(j) = 3*j**3 + 24*j**k - 5 + 3 - 22*j**2 - j**3. Determine 4*a(d) + 3*v(d).\nAnswer: 2*d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4803869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-240)\/(-48) - (-174)\/(-30)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 + 207. Suppose -16*z + h - 39 = 0. Solve 3*j - 2*d - 17 = 0, j - z = 4*d - 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 0. Let b(n) = -3*n**2 + 40*n - 9. Let c be b(13). What is the closest to q in 0.1, c, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -4.1. Let r = -288\/11 + 1429\/55. What is the third smallest value in r, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + u - 2*t - 43 = 0, t + 41 = -3*u. Let w be (-176)\/(-468) - (-2)\/u. Which is the closest to 0?  (a) -1  (b) 3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 77*b - 93*b + 37152. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -5*n**5\/3 + 191*n**4\/3 - 587*n**3 - 563*n**2\/3 + 4946*n\/3 + 1184 = 0.\nAnswer: -1, 2, 16, 111\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 42 = 4*f, -54937*r = -6*f - 54933*r - 56 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes after 5:03 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 - -0.0297?\nAnswer: -0.0703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-3))\/(((-50)\/(-120))\/1) - -22?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 287 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 - -67. Suppose 0 = -3*z + 2*z + 22. What is the remainder when p is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7 and 3409.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, y: 5, x: 2, c: 7, j: 3}. Give prob of picking 1 a and 1 j.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2*w**3 - w**2 + w - 1. Let r be h(1). Does 13 divide (-1 - -2) + 37 + r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -3808*h + 60906. Give f(16).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 169*z**2 + 3368*z + 12. Determine q(-18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -ab5 (base 12) to base 7\nAnswer: -4412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that i**2 + 3509*i + 17520 = 0.\nAnswer: -3504, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4767  (b) 0.6  (c) -0.4  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10769 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*w**3 + 5236*w - 1152170?\nAnswer: -30*w**2 + 5236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 0 = 4. Let h(l) = -l**2 - 2*l**v - 11*l**2 - l. Let i be (-1 - 1\/(-3))\/(312\/468). Determine h(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -102*d + 5. Let s(b) = -115*b + 4. Calculate -3*r(w) + 2*s(w).\nAnswer: 76*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -8*s**4\/7 - 130*s**3\/7 - 580*s**2\/7 - 290*s\/7 + 144 = 0.\nAnswer: -8, -7, -9\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1035)\/2760 + 141\/312 + (-1 - -1)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 179*j. Let l(a) = -5*a**2 + 3076*a - 3076*a + 2*a**2. Calculate f(l(i)).\nAnswer: -537*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.086 - 0.316. Let f = -0.23 - g. What is the second biggest value in 0, 8, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 4 + 12 = -3*l, -5*l - 3*c = 0. Let h(p) be the first derivative of 2\/3*p**2 - 3 - 2\/9*p**l + 0*p. Suppose h(d) = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-15)\/500)\/((-190)\/(-760)))\/((-18)\/20)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 193*j - 2953. Determine u(16).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 24 = 23*i - 20*i, 2*v = -4*i. Let a(p) = p**2 - 17*p - 23. Calculate a(v).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 152 + 94. Suppose 3*a + 6*o = o - 85, n = -5*a + o. Let k = 93 + a. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 56 = -31. Suppose -z*d = 14 + 31. Let s be 3 - ((-69)\/(-6))\/1. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8537 + -7866.06. Let o = -665 + r. Round o to 1 decimal place.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of -2\/3*c**3 - 2*c + 1\/12*c**4 + 0 + 0*c**2. Find the second derivative of k(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 13, -90, -375, -932, -1851, -3222, -5135?\n\"Answer: -15*o**3 - o**2 + 5*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -90, -402, -938, -1704, -2706?\n\"Answer: -a**3 - 106*a**2 + 13*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*f**2*v**3 + 609*f**2*v + 7*f**2 + 39*f*v**3 + 2*f*v**2 - 20*v**3 wrt v.\nAnswer: 24*f**2 + 234*f - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1803330 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 AM and 7:55 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 2*c**3 + c**4 + 6*c + 1 - 4*c in the form r*c + d*c**2 + f*c**3 + g + i*c**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f. Let b(m) = -729*m**2 + 87 + 36*m**2 - 42 - 45. Give i(b(z)).\nAnswer: 693*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 56*r - 77952. Suppose 57*j - 55*j = r. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, q: 2, a: 2}. What is prob of sequence laqa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 6 = -0. Suppose 2*w - q*j + 6 = 0, -2*j + 0*j + 6 = -w. Suppose w = 4*f + f + 2*a - 28, 0 = 4*a + 4. Solve f*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8039\/5 + 1601. Let p be -12*(-1)\/(18\/(-12)). Is p less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -2*h**5\/11 + 6*h**4\/11 + 8*h**3\/11 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 49553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39 and 7787?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -3*k - 1 + 4*k + 0. Is z(5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 2898015 = -3*r - 4701994, 2*r = -2*g + 7599994. Suppose -g = -27*o + 26*o. Round o to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (179 - 5) + -34 + 48 + -36 - 19.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 886338 and 3.\nAnswer: 2659014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 311502 + -1?\nAnswer: 311501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.035 - 7.140834?\nAnswer: -7.175834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 288 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 9:22 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 1  (c) -621  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -81589 - -81589. Let z = 0 + 1. Let t be (4 - 7)*1\/z. Sort -4, 2, y, t.\nAnswer: -4, t, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.5, -11\/2, -28, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6, 13, 34, 75, 142, 241, 378?\n\"Answer: x**3 + x**2 - 3*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -752 + 754.145. Let t = c + -2.1. Round t to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/2 + 213*j**2\/4 - 107*j\/4.\nAnswer: j*(j + 107)*(2*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**5\/2 - 4*c**4 - 9*c**3 - 8*c**2 - 5*c\/2 = 0. What is c?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2313*a - 2317*a + 4732 = 0. List the prime factors of a.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66452.\nAnswer: 2, 37, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1776494 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, b: 8, q: 3, x: 3}. What is prob of picking 1 x and 2 b?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wpwooowowo. What is prob of sequence opw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -3681, -5, 2\/7, -129?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 9:36 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2. Let b(o) = 1788*o**2 + 2*o. What is b(g(h))?\nAnswer: 1788*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 791348 is divided by 63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(-1\/20))\/u)**44 assuming u is positive.\nAnswer: u**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of -b**5\/20 + b**4\/2 + b**2 + 2*b. Let o be d(6). Let i(n) = 3*n**3 - 4*n**2 + 3*n. Is i(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 51 - 24625876?\nAnswer: -24625825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 AM and 6:59 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -59\/14, -1, -0.3?\nAnswer: -59\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vnub when four letters picked without replacement from {f: 3, n: 1, v: 3, r: 1, b: 4, u: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 345 from -2.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 8*l - 203. Let c be m(25). List the prime factors of 39\/12 + c + 9975\/20.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25)\/(sqrt(5) + sqrt(500)*-1 + sqrt(500)) - (sqrt(25)\/(sqrt(20)\/sqrt(4)) + sqrt(5) + sqrt(5) + sqrt(45) + -1 + sqrt(5))) + -4.\nAnswer: -6*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 15484, 31436, 47388?\n\"Answer: 15952*o - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*h**2*x*z**3 + h**2*x*z**2 + 6*h**2*z**2 - 140*x*z**3 - 3*x*z**2 wrt z.\nAnswer: -12*h**2*x - 840*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2. Let a(f) = -2*f**2 - 8*f. What is x(a(y))?\nAnswer: 8*y**4 + 64*y**3 + 128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -68 + 86. Let z = -88\/5 + o. What is the fourth biggest value in -8\/5, -1, -2\/3, z?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the second derivative of -1\/240*f**6 + 0*f**3 + 1\/2*f**2 + 0*f**5 + 3*f + 1\/48*f**4 + 0. Let y(n) be the first derivative of z(n). Factor y(d).\nAnswer: -d*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*(0\/41 - (-1)\/(-5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + ((-11)\/((-11)\/5))\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -61065 - -42012743\/688. Calculate the common denominator of -77\/102 and r.\nAnswer: 35088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 - u + 1. Let b be w(2). Suppose 0 = 5*j - 5. Let i(t) = -6*t - 4. Let x(h) = -h - 1. Give b*x(s) + j*i(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1344 and 388806012.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 116346187 to the nearest integer?\nAnswer: 10786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3927, -7780, -11657, -15570, -19531?\nAnswer: -23552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -535*a = 12206 - 29326 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -125*k**2*m*v**2 - 3*k**2*m*v + k**2*m + k*m*v**3 + 94*m*v + v**3 wrt v.\nAnswer: -250*k**2*m + 6*k*m*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 10*q**2 + 5. Suppose -2*s = 3*k - 4 - 2, 0 = -3*k. Calculate the remainder when y(10) is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -3\/2*z**5 + 30*z**2 + 24*z + 0 - 15\/2*z**4 + 0*z**3 = 0.\nAnswer: -4, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 take away 3785?\nAnswer: -3784.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.5, -12\/11, 0.3 in descending order.\nAnswer: 2.5, 0.3, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/9 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*g**5 - g**4 - 1156991*g**3 - 1506911*g**2 + 16.\nAnswer: 660*g**2 - 24*g - 6941946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 PM and 1:52 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2005 and 19020?\nAnswer: 7627020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 34*v - 4*v + 34*v - 19 = 0, 6*n = -12*v + 186 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/3*((-118902)\/(-56))\/57.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 6, c: 4, n: 2, y: 3, l: 1}. What is prob of picking 2 v?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-24)*441\/931?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 344253585.\nAnswer: 3, 5, 13, 1765403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b = 11*b - 2. Factor 3\/2*z**3 + 0*z**b - 3\/2*z + 0.\nAnswer: 3*z*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -4*a**5 - 88*a**4 - 456*a**3 + 16*a**2 + 1708*a - 1176 = 0?\nAnswer: -14, -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*g = -16*g + 20. Calculate the least common multiple of g and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 1\/3, 4, 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8270223*o**2 - 805663*o + 5.\nAnswer: -16540446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of 2*o - 25\/2*o**2 - 78 + 0*o**3 - 15*o**4. Find the second derivative of w(l) wrt l.\nAnswer: -360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -5*f - 40, 2*l = -5*f - 17 - 23. Let r(x) = x + 9. What is r(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3 + 50691424*o**2 + 101382864*o.\nAnswer: -4*o*(o - 12672858)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25a99 (base 11) to base 13.\nAnswer: -13c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.99 + 0.01. What is the nearest to 0.1 in -3\/8, 5, q, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.401484 years in millennia?\nAnswer: 0.001401484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 78*((-4590)\/72)\/17*(-6)\/(-45).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 90232 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4926012472.3 and -0.08968?\nAnswer: 4926012472.38968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 4*q + 9 = 0, -m = -2*q + 1. Suppose -3*w + 0*w + 6 = 0. Put 0, w, m in descending order.\nAnswer: m, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 31 + 1 = -2*j, 5*j = 2*q - 8. Let y be -10 + q + 2 + -2. Which is the closest to y?  (a) -1  (b) 1  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 + 3 - 2643*h + 2644*h.\nAnswer: h - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b3 - -175?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 59  (b) -27.4  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tbe when three letters picked without replacement from bte.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (82\/1230)\/(2\/(-10)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1807 divided by 1807?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 37470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 289.18 + -1.68. Let b = 288 - s. What is the closest to -0.4 in b, -5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -1\/31, -12888.6 in descending order.\nAnswer: -1\/31, -0.4, -12888.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 8*c**3 - 6*c**2 + 8*c. Let s(w) = 0*w**2 + 17*w**2 - 149*w - 23*w**3 + 126*w. What is -17*d(z) - 6*s(z)?\nAnswer: 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 89.7578\nAnswer: 179.5156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = 3*q - 3*p + 104, -12*p + 426 = -2*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -243 = -100*s - 46 - 997 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -500*z = 523*z + 13299 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-1)*22\/1. Let d be 4\/m + 120\/66. Suppose -4*z = d*v - 24, -v - 5*z + 24 = -0*z. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199822 is divided by 566.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/7626 and 52\/31?\nAnswer: 7626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-72)\/144 - ((-26)\/4 + 0). Solve 28*s - 34*s + h = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -7. Let m be (-20)\/(-50) + (-8)\/n. Let h = 0 - 0. Solve l - m*x - 9 = h, 2*x = 3*l + l - 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/7*c + 2\/7*c**4 + 0*c**3 + 1\/7*c**5 + 0 - 2\/7*c**2.\nAnswer: c*(c - 1)*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 1:47 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 + -9. Let u(m) = m**2 - 7*m + 15. Let l(g) = -g**2 + 14*g - 8. Let t be l(13). What is the least common multiple of s and u(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6034 + 6033.995078. Let g = -0.005 - y. What is g rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 - 2*y**2 + 2*y - 1. Determine r(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 286571*b**3*s**2 - b**3*s - 2*b**3 + 125*b*s - 21*b - 5*s**3 - 1 wrt s?\nAnswer: 573142*b**3 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 11*m**3 - 15*m**2 + 40*m + 12. Let n(a) = 2*a**3 + a**2 + 3*a + 2. Let q(o) = 6*n(o) - z(o). Factor q(r).\nAnswer: r*(r - 1)*(r + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**3\/7 - 1214007*z**2\/7 + 368429574735*z\/7 + 14370599978631\/7 = 0. What is z?\nAnswer: -39, 607023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j - 14*j = -6*j. Suppose -3*z = 5*n - j*z - 17, 0 = 4*z - 16. Are n and 62 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 18, 4*i - 874310 = -1343*p + 1346*p. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (9\/36 + 1\/4)*0. Suppose 4*g - 46 = -2*z, -g = -l*g + 4*z + 6. Solve 0 = g*t - 13*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -q**3*t**4 + q**3*t**2 + 5*q**3*t + 2*t**3 + t wrt t.\nAnswer: -12*q**3*t**2 + 2*q**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13906*n**2 - 11480.\nAnswer: 27812*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 100065822 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 4*a = 25, 2*q - a - 5 = q. What is the lowest common multiple of q and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010 - -10110?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 982 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -248 - -524. Is 28 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -0*l - 4*l. Suppose -3*p - 5*u + 80 = 0, 3*u - 15 = -4*p + 77. Suppose p*m - l*m = 830. List the prime factors of m.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6446 = 406*b - 6708 + 1786 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*4 + 2 + -1. Let z(h) be the third derivative of -h**6\/120 - h**5\/10 + h**4\/4 + h**3\/2 - 438*h**2 + 2. Give z(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 smaller than 1666.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-30 - 7) - 4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, d: 3}. Give prob of sequence ddx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10 - -2)*(-63)\/56. Suppose -t*z - 38*z + 188 = 0. Solve 3*p - 12 = -3*m - 0*p, 2*m = z*p - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + (-4 - (10 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6522 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 5*l**2 - l + 1. Let q be j(1). Factor 3*a**q - 6*a**5 + 12 + 3*a**4 + 3*a**3 - 3*a**2 - 12.\nAnswer: -3*a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.20745 days in nanoseconds?\nAnswer: 1141123680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.05 + -0.45. Let d = -0.1 - 4.9. Let z = d + 10. Put p, -2\/3, z in decreasing order.\nAnswer: z, p, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*1 - (0 - 1025). Let j = -60296\/59 + g. Is 0.1 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2992329 is divided by 269.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a3818 - 2?\nAnswer: 1a3816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-5\/3))**(5\/2))**(1\/5) assuming c is positive.\nAnswer: c**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (3 - 2) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t - 2*t - 2 + 2*t)*(19*t - 94*t - 42*t)*(-20*t**3 - 15*t**2 + 15*t**2).\nAnswer: 2340*t**5 - 4680*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -219252 divided by 33\nAnswer: -6644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -126643623.6 and -4.\nAnswer: 506574494.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1200 = -237*k + 247*k. Calculate the greatest common factor of 1128 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/sqrt(160) - ((sqrt(72)\/sqrt(2))\/sqrt(3) + sqrt(12))\/sqrt(4).\nAnswer: -7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -25 + (-28 - -95 - (-6 - 23))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9a + 1?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 - 25. Put 5, -1, 8, a in decreasing order.\nAnswer: 8, 5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 712 + -388. Let o be ((-1)\/(-10))\/((-2)\/b)*-5. Let m(s) = -o + 81 - 20*s**2. Let j(x) = 2*x**2. Determine j(m(k)).\nAnswer: 800*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -24104, -24105, -24106, -24107?\n\"Answer: -w - 24103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4.0694 and 3629255562?\nAnswer: 3629255557.9306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1852869 and 358161?\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 4*x = -8, 5*m - 2*m - 3*x + 6 = 0. Solve -v + m*v - v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/56)\/((-145)\/87 - 106\/(-42)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -26 + 1. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-1))\/((-3)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(85)\/sqrt(5)*4.\nAnswer: -4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/3 - 531*l + 27370\/3.\nAnswer: -(l - 17)*(l + 1610)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, c: 2, p: 2, n: 1}. Give prob of picking 1 j and 2 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15351 is divided by 2554.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -18 and -1790*3\/(-984) + -5.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {v: 1, i: 9, b: 2, p: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 7*z. Let x(s) = s**2 + 9*s + 27. Let l = -30 + 21. Calculate the remainder when x(l) is divided by u(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5116753021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1427, -3613, -5799, -7985?\nAnswer: -10171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 108.46923937 rounded to two decimal places?\nAnswer: 108.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**2 - 56*u. Let k(c) = 11*c + 46. Let y(l) = -3*l - 12. Let t(v) = 6*k(v) + 23*y(v). Calculate t(q(f)).\nAnswer: -6*f**2 + 168*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11.379137 + 10.87901. Let k = w - -0.5. Round k to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/9 + 30652*i\/9 + 117443138\/9.\nAnswer: 2*(i + 7663)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of -548*f**4 - 2039*f**2\/2 + 554. What is the second derivative of z(t) wrt t?\nAnswer: -13152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/102 and -71\/1530?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*p = 0. Suppose 2*q - 4*d + 10 = p, 2 + 5 = -3*q - 2*d. Let t = 9 + -9. Which is the closest to t?  (a) q  (b) 1  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24821 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -45309\/5 or -9061?\nAnswer: -9061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 64170702 and 64170702 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of 0 + 13\/9*d**3 - 1\/180*d**5 - 25\/72*d**4 + 122*d**2 + 0*d. Factor x(i).\nAnswer: -(i - 1)*(i + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 10, z: 2}. What is prob of sequence wzw?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 - 13*n - 7. Let a be l(-14). Let v = -15 - a. What is the lowest common multiple of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -11*v**3 - 21*v**2 + 56*v - 47. Is m(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g - 33 = 26*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 206426*z - 103213*z + 158*z**2 - 103213*z.\nAnswer: 158*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 240 and 216.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-5*-1*sqrt(117))**2 + (-3*sqrt(117)*-2)**2 + ((-4*1*sqrt(117))**2 - 3*(sqrt(117) + -1)))*-3*1.\nAnswer: -27048 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.4456 in -2\/7, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2\/5 + 26*u\/5 - 12.\nAnswer: 2*(u - 2)*(u + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 160 - 300 = 0. Let i = -21 - s. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -2*d - 39. Let i(l) = -25*l. Give i(z(c)).\nAnswer: 50*c + 975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 332871, 332882, 332879, 332856, 332807, 332726, 332607, 332444?\nAnswer: 332231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 51278641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 5*q + 10, -g + q = g - 11. Suppose 11 = g*x + 1. Suppose 6 + 6 = 4*w, -3*o = x*w - 12. Which is the closest to 2\/7?  (a) -5  (b) -0.2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 17*d**2 - 5*d + 38. Let t(b) = -18*b**2 + 6*b - 35. Let s(q) = -5*r(q) - 6*t(q). Let o(g) = -8*g**2 + 4*g - 7. Give 17*o(w) + 6*s(w).\nAnswer: 2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.2, -5, -0.036, 5 in descending order.\nAnswer: 5, 0.2, -0.036, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (0 - -1) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -62 - 55 + 243 - 60 - 63 - 851*y as o*y + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 3*r**5 - 453*r**4 - 2325*r**3 - 2355*r**2 + 2322*r + 2808 = 0?\nAnswer: -3, -2, -1, 1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -1*(sqrt(700) + 0))*-3.\nAnswer: -15 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppppppuu.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**3\/3 - 76*q**2 - 296*q - 880\/3.\nAnswer: -2*(q + 2)**2*(q + 110)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (1 + 6 - 8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/225 and 2\/685125?\nAnswer: 685125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30947?\nAnswer: 7, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 207 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of 5*k**4\/24 - k**3\/6 + 2*k**2. Let l = 5 + -1. Suppose -4*b - 17 + 1 = -l*t, -3*t = -2*b - 13. Determine i(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8536 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + n + 20, 2*q - 2*n - 16 = 0. Suppose u + 4*h + 195 = -h, q*u = -4*h - 552. What is u rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 835931.4 micrograms?\nAnswer: 0.0000008359314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -68\/41607 and -47\/25479?\nAnswer: 117789417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -18*l - 3. Let k(v) = -38*v - 11. Let f(a) = k(a) - 2*y(a). Let w(c) = -c**3. Let d be w(0). Suppose d = -g - g - 12. Give f(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -800550 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*g - 4*g**3 - 1 + 3*g**3 + 11*g + 4*g**2 + 2 as b*g + z*g**2 + t + y*g**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 4712331.637 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.0239, 2, 1 in ascending order.\nAnswer: -0.4, 0.0239, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*3\/(-9)*18\/(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 + 32. Let l = -59\/3 + y. What is the smallest value in l, 4, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 3\/4. Let g be ((-6)\/(-1))\/12*(31 + -1). Let n be (6\/(-8))\/(g\/12). What is the second biggest value in n, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 219260 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3844.1759 - 3844. Let u = q - 0.122. Let m = -0.066 + u. What is m rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiiiiiieiie. What is prob of sequence iiee?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**3 - 31*r + 66*r + 34*r)*(0*r - r + 3*r).\nAnswer: 2*r**4 + 138*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -24, -70, -164, -318, -544, -854?\n\"Answer: -2*x**3 - 12*x**2 + 4*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22281, 21893, 20865, 18885, 15641?\nAnswer: 10821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = j - 14, 4*x - 5*j - 25 = -0*j. Suppose 4*o = -x*p - 823 - 5037, -3*p = 3*o + 4398. Round o to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 656 - 441. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(72)*1*3 + sqrt(72)) + (sqrt(72) + -1*(-2*sqrt(72) - sqrt(72)) + 3*(sqrt(72) + (sqrt(72) - (1 + sqrt(72)))))**2 + 2 + -5.\nAnswer: -396*sqrt(2) + 3534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 0*a**4 + 0*a - a**5 + 4\/3*a**3 + 0*a**2 - 2. What is the third derivative of u(f) wrt f?\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -273 - u - 18*u**2 + u - 208 + 481.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 6, q: 3, i: 4, c: 2, d: 4, z: 1}. Give prob of sequence zqmc.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 445419?\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68594 is divided by 1164.\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**13*k**(-5\/4))**(-4\/19) assuming k is positive.\nAnswer: k**(-47\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 33 + 107. Let v = d - 20. Suppose -q + o = -30, -4*o = -o - v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 372 = 884*g - 822*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(504)*-1*3)\/((sqrt(5082)*-1)\/(sqrt(6) - (sqrt(66)*2)\/sqrt(11))).\nAnswer: 108*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 9 = 3*t, -2*o - o + t = -3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d = -24*j + 26*j, 5*j = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -476, -472, -466, -458, -448, -436, -422?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 290389\/142 - 2045. Let b = 275\/1278 - w. Suppose 2\/9*y + 0 + b*y**2 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {r: 1, y: 2, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 PM and 1:05 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*(-5)\/(5\/(-56)). Solve -p*q = -111*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - 105414242?\nAnswer: -105414235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*r**5 - 2*r**5 - r**5 + (0 + 2 - 1)*(-247*r**4 + 247*r**4 - 9*r**5) + r**5 + r**5 - 5*r**5.\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41057, 82114, 123171, 164228, 205285, 246342?\nAnswer: 287399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, 1, 135 in decreasing order.\nAnswer: 135, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jvvgauaasaav. Give prob of sequence sguj.\nAnswer: 1\/11880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)\/(4*sqrt(4)) - (3*sqrt(48))\/sqrt(2))\/((-6*sqrt(968)*-2 + sqrt(968))*-6).\nAnswer: sqrt(3)\/312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*i**2 + 0*i**2 - i**2 + (-2 + 2 - 2*i)*(0*i + 2*i - 5*i) - 3*i**2 + 3*i**2 - i**2 - 7*i**2 + 13*i**2 - 2*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -16\/7, 4, -4, -460\/3, -5, 2\/55?\nAnswer: -460\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1119 - 1090. Let q be (-4326)\/77 + 2\/11. Let g = 137 + q. What is the remainder when g is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(39) + sqrt(39) + (sqrt(39) - sqrt(117)\/sqrt(3)) + sqrt(39)))\/sqrt(3))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 129907633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(((-140)\/(-15))\/4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24397 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pj when two letters picked without replacement from oojoopopp?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does -2130679 = -8522719\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of s**6\/120 + s**5\/10 + s**4\/8 + s**3\/2 + 13*s**2. Calculate u(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -23 in -13, -2\/7, -4\/3, 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 432 + -15?\nAnswer: 41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 288\/(-108)*6\/(-4). Solve 4*p = 4*t - 24, 5*p + y = -6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -17*v - 124. Let w(u) = -16*u - 123. Let s(y) = -4*j(y) + 5*w(y). Let o be s(-10). Find z such that 1\/6*z**2 - o + 5\/6*z = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 30 - 5*-3*(-4)\/20. Let -2118 + 126*x**4 + 4235 + b*x**5 - 144*x + 111*x**3 - 2117 - 120*x**2 = 0. Calculate x.\nAnswer: -3, -4\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -10456?\nAnswer: 10456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of -4948*n**3\/3 + 33. Let p(i) = 2*i**2. Calculate p(c(k)).\nAnswer: 48965408*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 4*q. Let w(f) be the first derivative of -2*f**2 + 54. What is 7*p(v) + 6*w(v)?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that l**2\/3 - 2812*l\/3 - 175253\/3 = 0.\nAnswer: -61, 2873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -541*u + 5437 - 23831 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*q + 3 - 3 + (2*q + 5 - 5)*(2 - 7 - 7) to p + r*q and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 154100167.2ms in weeks?\nAnswer: 0.25479525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 639.3475 * 44.\nAnswer: 28131.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 29 = -5*q, -5*g - 35 = -9*g - 3*q. What is the third derivative of 6 - i + 41*i**5 - 6 + 8*i**6 + g*i**2 + 8*i - 40*i**5 wrt i?\nAnswer: 960*i**3 + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -4\/9  (b) 3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -638207, -637240, -636255, -635246, -634207, -633132, -632015?\n\"Answer: l**3 + 3*l**2 + 951*l - 639162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47.39 - -0.61. Let p = z + -44. What is the second biggest value in -0.4, p, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 10, b: 2, x: 4}. Give prob of picking 3 q and 1 b.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 711 (base 8) in base 11?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 5*h - 10 = 0, 2*r + r + 4*h - 7 = 0. Suppose r*d = 2*d - 5*z + 28, -d - 2*z = -10. Let q(s) = -s**2 + 8*s + 1. What is the units digit of q(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4012 + -2405. What are the prime factors of w?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/44694 and 44\/530789.\nAnswer: 124204626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 8 + -2 + -1 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 331, 683, 1037, 1393?\nAnswer: 1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {x: 2, c: 4, i: 3, e: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 14. Suppose p*x = -2*d - 15, 2*d - 2*x - 3 = -x. Suppose d*c + 60 = 4*c. Calculate the greatest common factor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4210, 3862, 3306, 2542?\nAnswer: 1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g + 2189 = 653. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 45*t**2 - 7*t**2 + 43*t**2 in the form h*t + i + c*t**2 and give c.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 - 172 = -3*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 128 * 2069322\nAnswer: 264873216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5 + 230\/(-25))*(-6 + 1). Let h = l + 103. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.45 - 56565.248295.\nAnswer: -56563.798295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 681046183 to the nearest integer?\nAnswer: 26097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2*x + u = 74, 0 = -x - u - 30. Let h be (0 + -16)\/(13\/x). Suppose -7*o = o - h. Solve -o*i - 15 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4095992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(324) + sqrt(324)*2)*3 - sqrt(324))*2)\/(-6*-2*sqrt(768)*4).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -487229303*w**2 + 189495*w - 179 wrt w?\nAnswer: -974458606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28856392 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 181 + -97. What are the prime factors of (-4119)\/z*-4 - 2\/14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7402 divided by 27698.\nAnswer: -3701\/13849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2861, -2854, -2851, -2858, -2881, -2926?\nAnswer: -2999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 106 = -u, 0 = u - 56*m + 53*m - 101. Suppose 13*r - 11*r - 76 = 0. Calculate the remainder when u is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*k**2 - 20365828*k + 74548629.\nAnswer: 6*k - 20365828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -39353975?\nAnswer: 78707950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*o + 2*y = -11*o - 11833996, 2*y - 4 = 0. Round o to the nearest ten thousand.\nAnswer: 2370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-360)\/80)\/((-3)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do -14868\/11 and -1352 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1711 + 2976. Suppose 3*d + d = -3*v + 1881, -2*v = -d - u. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, e: 2, s: 7, z: 2, b: 1, l: 2}. Give prob of sequence lzbe.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3 + 824*y**2 + 138498*y - 139320.\nAnswer: -2*(y - 540)*(y - 1)*(y + 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, z: 4, y: 3, v: 1, p: 2}. Give prob of picking 1 a, 1 y, 1 v, and 1 z.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -4*y**3 - 4*y**2 - 32*y - 30. Let m be g(-1). Which is the closest to -0.2?  (a) -3  (b) m  (c) 0.4  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -441, -442, -459, -498, -565, -666?\n\"Answer: -p**3 - 2*p**2 + 12*p - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3054878143 to the power of 1\/3, to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 35023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 4*f**4 - 1632*f**3 + 166464*f**2 = 0.\nAnswer: 0, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 AM and 1:40 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of b*k*q*s + b*k*q + 2*b*k*s - b*q*s - 2865*b*s + 21*b - 2819253*k + 4*q*s - 10*q wrt k?\nAnswer: b*q*s + b*q + 2*b*s - 2819253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8 + 8 + 21*q + 0 - 2*q + 0 + (-60 + 64 + 27)*(2*q - 2*q + 2*q).\nAnswer: 81*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.91 + 0.09. Let w = b - 3.999997. What is w rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, t: 2, y: 2, w: 1, u: 2}. Give prob of picking 2 t and 2 u.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.6 + 9.5. Let d = -1.12 + 0.22. Let a = r + d. What is the biggest value in 0.5, a, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*x**2 + 2*x**3 + 53*x**2 + 25*x**2 - 1 - 12*x**2 as v*x**3 + o*x + h + b*x**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -1843?\nAnswer: -1843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8589848009 to the nearest integer?\nAnswer: 92681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 131537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3*g - 65 = 0, 5*g + 24 - 9 = 0. Let c be (135\/(-10))\/9*m. What is c rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/284 + 109\/(533991\/45586)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u**3 - 3*u**3 + 5*u**3 + (-7 - 76 + 3)*(-5*u**3 + 3*u**3 + 3*u**3).\nAnswer: -81*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3\/3 + 263*f**2\/3 + 17423*f\/3 + 17161\/3.\nAnswer: (f + 1)*(f + 131)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 991877, 991869, 991857, 991841, 991821?\n\"Answer: -2*y**2 - 2*y + 991881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of t**4\/6 + 7*t**3\/6 - 3*t**2\/2 + 10*t. Calculate the remainder when 78 is divided by h(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -2*b + 14, 2*j = -4*b + 3*j + 43. Suppose b*n - 238 = -78. Calculate the remainder when 45 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 947120.4 years to months.\nAnswer: 11365444.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 36080 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - 72*k**2 - 62*k - 516. What is the remainder when l(73) is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17534 + 67466. Let r(f) = -f**3 - 10*f**2 + 7*f - 35. Let n be r(-11). Suppose n*h = 4*h + o. What is h rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 16. Suppose -2*u + 12 = -4. Calculate the remainder when 20 + (-3 - t)\/2 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 319534 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 - 35*l**2 - 255*l + 50. Determine f(-10).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3351*c**2 - 4*c**3 + 1115*c**2 + 1113*c**2 + 1123*c**2.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69, 296, 677, 1080, 1511, 1976, 2481?\nAnswer: 3032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5990 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 10*s**2 - 46*s + 55. Let p be u(24). Let i(h) = 7*h - 4711 + p. Let t(w) = -9*w**2. Determine i(t(f)).\nAnswer: -63*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 485 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.4, 1\/3, -5670, 0.06 in ascending order.\nAnswer: -5670, -0.4, 0.06, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/17 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 45 = -225. Let w(u) = -13*u - 3. Let v be w(-3). Calculate the highest common factor of v and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + 1001110110?\nAnswer: 1001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -6 - (-12 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/(-5))\/(2\/175). Suppose 5*c - f = -0*c. What is the least common multiple of c and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 - 10. Let n = -21 - -24. What is the greatest common factor of n and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -270 = -2*i + 5*s + 522, 4*i = 2*s + 1568. Suppose -6*f = -1121 - i. Suppose 0*w + f = 6*w. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(0 + 3*(sqrt(5) - (sqrt(5) + -2)) - (3 + sqrt(20) + -5))*6*4.\nAnswer: -384 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + x = 4, -19*h + 3*x = -24*h + 4. Let m(a) be the first derivative of -8\/5*a**5 + 17 + 0*a**3 - 2*a**h + 3*a**4 + 0*a. Let m(d) = 0. What is d?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*s + 676*w - 672*w + 14, -101 = -17*s + w - 0*w for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o + 16. Let m be b(-3). Suppose 3*s + g = m, 2*g = -s + 3*s - 4. Solve 0 = -6*d + s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, k: 4, x: 13}. What is prob of sequence xkvv?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -39 + 4\/(8\/6). Let d = 16 + c. List the prime factors of (-106)\/(-22) + d\/(-110).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7336144 (base 8) to base 15.\nAnswer: 287632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of j**5\/30 - j**2 - j. Let x(w) be the first derivative of z(w). Let r(m) = 2*m. What is r(x(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7616.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4274 - 48*t + 4240 - 8514.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 AM and 6:41 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 + 14. Suppose 0 = -0*n - g*n + 25. Suppose 0*x - 16 = 4*x, 3*b + n*x = -5. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -256 - -410. What is the highest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2590?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3939.641nm in millimeters?\nAnswer: 0.003939641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y - 5. Let a(i) = -16 + 0 + 2*i + 4*i + i**2. Suppose -218*u = -9*u - 37*u + 248*u + 2940. Calculate u*r(h) + 2*a(h).\nAnswer: 2*h**2 - 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/((-7)\/2 + 2). Let v = 7 + n. Find the second derivative of b**v - 4*b**5 + 4*b + 0*b**5 wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 137370 and 372210?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -2*g + 5. Suppose g*z - 3*i = 18 + 23, -59 = -5*z - 3*i. Let s be 3\/15 + 98\/z. Solve s = -2*p - 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7483.21 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 18295, 73176, 164651, 292726, 457407, 658700, 896611?\n\"Answer: n**3 + 18291*n**2 + n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*y + 16*y + 2 = 11*y - 7*h, -3*h = -8*h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 395 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -10, -22, -56, -124, -238, -410, -652, -976?\n\"Answer: -2*g**3 + g**2 - g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 27, 111, 249, 441, 687, 987?\n\"Answer: 27*p**2 + 3*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((t - t - 2*t)*(0 + 1 - 2) - t - t + t + t - 4*t + 5*t + 3)*(45*t**4 + 15*t**4 + 58*t**4).\nAnswer: 354*t**5 + 354*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w = -10144 - 36800. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 18\/(-4)*(-4)\/30. Let z(l) be the first derivative of 0*l - 2 + 0*l**4 + k*l**5 + 0*l**2 - l**3. What is the third derivative of z(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52859757 is divided by 4112?\nAnswer: 4109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 109588.3t in nanograms?\nAnswer: 109588300000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -5*d, -5*d + 2 = h - 4*d. Calculate the remainder when ((-27)\/4)\/(h\/(-16)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2*i - 22 + 1 - 5*i + 2*i. Let m be b(0). Is 9 a factor of (-3 + 14\/6)*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and 400.\nAnswer: 4000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((3\/4)\/3)\/((-20)\/80). Is -16\/9 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -a**3*p**2*x - 2837*a**3*p*x - 3*a**3*p + 52*a**2*p**2*x - 7*a**2*p*x + 8*a*p*x wrt a.\nAnswer: -6*p**2*x - 17022*p*x - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7557 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5 + sqrt(39)\/(-6*sqrt(27) + sqrt(3))).\nAnswer: -10 + 2*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42563?\nAnswer: 31, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/2207184 and -13\/192.\nAnswer: 8828736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(68)*-5)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (17\/(-2))\/(5\/10). Is -17 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*s + 8*s + 203. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5276448 to the nearest 10000.\nAnswer: 5280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(0 + 2)*(6 - 6). Suppose t = 2*z - 4*z + 2, 5*c - 252 = 3*z. Suppose 2*s = -s + 51. What is the highest common divisor of c and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b5 - -3c1?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the third derivative of -l**5\/15 - 7*l**4\/10 - 8*l**3\/15 + 67*l**2 - 7*l. Factor f(d).\nAnswer: -4*(d + 4)*(5*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 52 = 5*r - 59, 14 = -2*r + 3*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -72919*d**5 - 21971*d.\nAnswer: -1458380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -2 - 3\/40*m**6 - 4\/3*m**3 + 0*m - 3\/2*m**2 - 7\/6*m**4 - 1\/2*m**5. Let v(x) be the second derivative of g(x). Factor v(c).\nAnswer: -(c + 2)*(3*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4*l = -1365 - 13981, 2*l = -8. Is 35 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/6*i**3 + 0*i + 1\/6*i**4 + 0 - 1\/3*i**2 = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.3 + 0.3. Let m = -13 + 10. What is the second smallest value in l, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*j + 58*j + 4*z = 20*j + 20*j - 3, -2*z + 27 = 7*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 895704.1t to milligrams.\nAnswer: 895704100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**5 - 16*r**4 = 0. Calculate r.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 109869 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = 5, 0 = 69*d + 5*f + 2875 - 2850 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-42)*(-72)\/32?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 4*h + 3 + 8, -4*m = -2*h - 22. Let r be (-1)\/m - (-38)\/78. Let t be 20\/30*6\/4. Is r > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 divided by -28\nAnswer: 19\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.467395 to two decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + 0 + (-24)\/48*(1 - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3 - 110*v**2 - 15362*v + 15470.\nAnswer: 2*(v - 119)*(v - 1)*(v + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**2. Let o(m) = -40*m**2 + 3*m. Determine n(o(b)).\nAnswer: 3200*b**4 - 480*b**3 + 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/7*i - 2\/7*i**3 - 4\/7*i**2 + 0 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2\/4 + 3*i\/2 + 189\/4.\nAnswer: -3*(i - 9)*(i + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -19*r**2 + 13 - 13 + 10*r**2. Let g(k) = -9*k**2. Calculate g(n(s)).\nAnswer: -729*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 + 171*s - 2606. Does 279 divide v(112)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in y**2\/11 - 1053*y = 0?\nAnswer: 0, 11583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.11129cm to millimeters.\nAnswer: 11.1129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*w - 2*d, 0*w = 2*w - 5*d + 9. Sort 6, -1, w.\nAnswer: w, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 3*b**2. Let c = 84 - 27. Let s(h) = -57 - h + c. Calculate s(r(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -l**2 + 1\/3*l**3 + 0*l + 0 + 1\/24*l**4. Let i(o) = -2*o - 3. Suppose -12 = 15*h - 11*h. Determine h*i(d) - 5*u(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -9a71 (base 12) to base 4\nAnswer: -10022311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6 + 5 + 10\/2. Suppose 4*x - n = 6*x. Is 2 a factor of (x\/6)\/(2\/(-42)) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9984374717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 152731340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 49985 = 2*i + 8*b, 124988 = -5*i - 4*b. Round i to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 1 + 635*j**2 - 1 - 644*j**2. Let c(g) = -g**2. What is c(p(t))?\nAnswer: -81*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*i - 3. Suppose -3*c - q = 2*q - 9, i*q + 15 = 0. Let g(y) = y**3 - 5*y**2 - 4*y - 4. Give g(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21022101112 (base 3) in base 13?\nAnswer: 50660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12*h**4 - 5*h**3 - 277 wrt h?\nAnswer: 48*h**3 - 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) -4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) - (sqrt(72) + sqrt(72) + (-3*sqrt(72)*-6 - sqrt(72) - sqrt(72))))\/sqrt(9) + -1.\nAnswer: -34*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1573.6381 to zero dps.\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 133 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 PM and 10:55 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/85))**(-3\/11)*(x**(-1\/29)\/x)**(-15) assuming x is positive.\nAnswer: x**(420576\/27115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-3)\/s**(-1\/11) assuming s is positive.\nAnswer: s**(-32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of 3347*r**6\/120 - 2743*r**5\/60 + 5905*r**2. Find the third derivative of d(a) wrt a.\nAnswer: 20082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(2\/43))\/k**(-1\/5) assuming k is positive.\nAnswer: k**(248\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*q = -42*q + 19139 - 1205. What is the remainder when q is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2172841126 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 6. Let c be (3 + -1)\/2*4. Suppose -c*z + l*z = -76. Solve 5*r - z = -4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((2\/6)\/(14\/(-42)))\/1)\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 1000?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2882, -5931, -8974, -12011, -15042, -18067, -21086?\n\"Answer: 3*g**2 - 3058*g + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -11*a**2. Let r(m) = -58*m + 795. Let c(l) = -19*l + 289. Let h(s) = -11*c(s) + 4*r(s). Give h(p(q)).\nAnswer: 253*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of 2*k + 0 + 1\/3*k**3 + 1\/2*k**2. Give z(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4323 (base 7) to base 2\nAnswer: 11000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f - 10. Suppose 3*a - 15 = 6. Does 3 divide i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2, 32, 94, 188, 314, 472, 662?\n\"Answer: 16*w**2 - 18*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pxgj when four letters picked without replacement from pgjpjogjppgjxx?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/22 and -5 - (10\/10 + 992\/(-150))?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 727916824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 610885 and 166605?\nAnswer: 1832655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from vvvyvy.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -143\/73?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -94 - -255. Suppose 45 = -29*q + k. Sort 7, 0, q, -8 in decreasing order.\nAnswer: 7, q, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28687, -34321, -39955, -45589, -51223, -56857?\nAnswer: -62491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -495 + -5?\nAnswer: -49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28*x**3 + 19*x**3 - 20*x**3)*(4*x - 2*x + 4*x - 5*x + 5*x + 2*x + 0 + 0 + 2*x + (-2*x + 0*x + x)*(-3 + 3 + 1) + 4*x - 2*x + 0*x).\nAnswer: 297*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -357967929341482 - -21615893410240943748\/60385. Let k = d + 1506188\/929. Let n = k - -48795. Calculate the common denominator of 3\/5 and n.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 137 - 14. Suppose -u = 3*u + 8. Let v = u - l. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 - 18*r + 70. Let k be j(-16). Suppose -k = -2*s + 86. List the prime factors of s.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18 + 28. Suppose 4*k = 5*k + 12. Let y be k\/9*3*2\/(-4). Solve -2*t = -2*u + 8, -y*t - 5*u + z = -u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 149606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 PM and 11:05 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of i**6\/75 + i**5\/50 - 39*i**4\/5 + 612*i**3\/5 - 4104*i**2\/5 + 751*i. Factor p(b).\nAnswer: 2*(b - 6)**3*(b + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/4724 and 101*1\/24 + -342 + 333.\nAnswer: 28344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 - 13*f + 4. Let n be l(-13). Suppose 89 = 4*x - s - 8, -n*s + 12 = 0. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {o: 3, n: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2\/40*(-1922)\/2883\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 230 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 56361439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 3*b - 36. Let x be z(12). Suppose 5*p - 6*c - 30 = 0, -4*p = -2*p - 2*c - 10. Suppose -2\/9*q**3 + p*q - 4\/9*q**2 + x = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 22 + 26 = 0. Find the second derivative of -7*y - 9*y + 24*y**w + y**4 + y wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 + 9*u**2 + 11*u - 6. Suppose -39*o - 80 + 266 = -70*o. Calculate z(o).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3181872 and 397734?\nAnswer: 3181872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2602537 to the power of 1\/2, to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 9  (b) -3\/2  (c) 8  (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 749727*g*n**3*o**2 + 328*g*n**2*o**2 - 2*g*n*o**2 + 8*g + 9*n**3*o**2 + 5*n**2*o - 2*n*o - 4*o**2 wrt n.\nAnswer: 4498362*g*o**2 + 54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*y - 12*y + 24 - 10 = -11*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15) - ((sqrt(135)*-1)\/sqrt(9) - sqrt(15)) - (sqrt(15) - ((sqrt(375)*-1 - sqrt(375)) + sqrt(375))))\/(1*(sqrt(3) + sqrt(15)\/(sqrt(5)*5))).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 0.072?\nAnswer: -1.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11 + 2465?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3 - -4) + -1)\/(-2). Suppose 4*f - 5 + 1 = s. Does 8 divide (f + -16)*-2 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73050 is divided by 111?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*j + 134054 = 17*j + 5670. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 419343379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*a - 2*a - 3*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -293\/6 - -49. Let b(q) be the second derivative of 0 + h*q**3 + 0*q**2 - 2*q. Let o(n) = -4*n + 2. What is 2*b(z) + o(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - v = 0, 3*r - r - 12 = v. Suppose -n + 3*u + 3 + 5 = 0, -n + 32 = 3*u. Calculate the least common multiple of r and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21083 by -727.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1992394\/((-34)\/(-17)) + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 46*b + 9. Let i(o) = o**3 + 10*o**2 + 8*o - 2. Let k be i(-9). Is p(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from {h: 13, z: 5}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3044362*p*s**3 - 23*p*s**2 - 410*p*s - 36*s**2 wrt s?\nAnswer: -18266172*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -1923, 5 in ascending order.\nAnswer: -1923, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/10*(16 - 1104\/(-36)). Solve -h*b + 5 = -85*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/4, -0.03, 1\/3, 2\/3633, -79 in increasing order.\nAnswer: -79, -0.03, 2\/3633, 1\/3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 15*h**3 + 25*h**2 - 25*h - 10. Let j be 8\/12 + (-26)\/(-6). Let m(r) = -r**3 + 2*r. Let f(y) = j*m(y) - v(y). Let f(x) = 0. Calculate x.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 174 - 6. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 2\/5  (c) 5  (d) -0.867  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -3*t**2 + 41*t - 256. Calculate i(10).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2786  (b) 5  (c) -5  (d) 16810\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-203)\/(3*(-3)\/9). Suppose 0 = 35*j - 5 - 170. Suppose 4*r - j*l - h = 330, -5*l - 122 = -r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 12 = 12. Is -4 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -119\/183 + -1\/61. Which is the nearest to n?  (a) 3  (b) 4  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 22188*a + 3 - 22186*a + 197*a**2 + 8*a**3 + a**4 in the form y*a + u + z*a**2 + n*a**4 + i*a**3 and give z.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72, 116, 158, 198, 236, 272, 306?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -578*p + 1319*p + 347*p + 1298*p in the form r*p + j and give r.\nAnswer: 2386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-8))\/((-1)\/4). Let l = 15 - 10. Let a be (-24)\/(-3)*(-2)\/(-4). Put l, a, v in descending order.\nAnswer: l, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1141102336.\nAnswer: 2, 11, 405221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -16*v - 2. Suppose -5*d + 44 - 459 = 0. Let p = d - -77. Let y be t(p). Round y to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 c when four letters picked without replacement from {c: 2, y: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.568283 + -0.568. Round m to 5 decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/9 and -70\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 69547337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3906 = -2119*i + 1874*i + 5159 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine quarters of a century in years?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -26\/61  (b) -1\/6  (c) -1.1  (d) -1\/2  (e) 5  (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010001110 (base 2) in base 8?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -198.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13230 and 33198660.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 846 + 2aa2?\nAnswer: 3838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 0.1  (b) -12\/25  (c) -3  (d) -2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7537686231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 4320.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -143.47 and -0.81?\nAnswer: 142.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1267 - 1266. Is i equal to -421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3*i**2 - 84*i - 132. Give y(29).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 11*f**3 + 440*f**2 + 16*f + 610. What is k(-40)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - -1542?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -404 + 440. Calculate the least common multiple of u and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166 + 592*k + 210 - 44 - 600*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*h**3 + 100490*h**2 + 301632*h.\nAnswer: -2*h*(h + 3)*(9*h - 50272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31497577, 62995167, 94492757?\nAnswer: 125990347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1531 is divided by 1135.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -8\/765481 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3792587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 45177433 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -16*u + 1104. What is the remainder when o(65) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 552161932 a multiple of 7306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + -101000101?\nAnswer: -101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 125 - 376\/3. Which is smaller: -7534 or x?\nAnswer: -7534","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 22 - 33. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-7)*o)**(-20\/9)*o**(2\/11)\/(o\/o**(2\/7)))**(-10) assuming o is positive.\nAnswer: o**(-29570\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 - 3*a**3 - 5*a**2 - 2 - 3*a + 11*a**2 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 17979, 17943, 17905, 17865?\n\"Answer: -s**2 - 33*s + 18013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 764480*x + 86. Let d(v) = v. Determine d(l(a)).\nAnswer: 764480*a + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + o - 4*o - 24 = 0, 2*a - 3*o - 21 = 0. Suppose -5*g - 3 = -13. Suppose -8 + 0 = -4*v - 4*u, u - 2 = -g*v. Solve v*n = -a*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 3*g**3 + 53*g**2 + 79*g - 18. Give t(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-315)\/(-75)*(-22)\/66?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 14. Let c(p) = -3*p - 6. Let y be c(-4). Let s be 21\/y + 1\/2. Sort 5, h, s in ascending order.\nAnswer: h, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6112614790.\nAnswer: 2, 5, 9239, 66161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 298.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 z, and 1 d when three letters picked without replacement from xzzudxbzz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of 0*m**3 - 1\/168*m**7 + 0 - 1\/40*m**6 - 1\/48*m**4 + 5*m - 3\/80*m**5 + 0*m**2. What is l in d(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of g**8\/2240 - g**5\/60 + 3*g**2. Let p(m) be the third derivative of i(m). Let k(c) = -15 - c**2 + 15. Calculate k(p(b)).\nAnswer: -81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -34 + 37. Let y = 10 - 3. What is the second derivative of -2*n**2 - y*n + 14*n + 11*n**i + 2*n**2 wrt n?\nAnswer: 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.12 and -7.5.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -165, -87, -9, 69, 147, 225?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 4*n + 26 + 34, -2*o - 60 = 4*n. Let m = o + 34. Differentiate -118 - 9*l**4 - 10*l**m + 96 with respect to l.\nAnswer: -76*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = -w + g - 15, 369 = -5*w + g. Let z = w + 129. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m + 0 + 0)*(-2*m + 4 - 4) + 510 - 510 - 579*m**2.\nAnswer: -583*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*b**5 + 106549*b**4 - 32637136*b**3 - 11988381*b**2 + 2178414*b = 0. Calculate b.\nAnswer: -1\/2, 0, 2\/15, 339, 3213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 6*f - 3. Let m be h(-2). Let x(q) = -2*q + 6. Suppose -3*n + 16 = n. Let r be x(n). Sort m, r, 1.\nAnswer: r, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-6))\/(6\/(-18)). Let p(a) be the first derivative of -2\/5*a**5 + 1\/2*a**4 + 0*a - a**l + 1 + 2\/3*a**3. Factor p(o).\nAnswer: -2*o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/4  (b) 0.2  (c) -3  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (1 - 8) + 10 + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2497, 0.4, -0.1, -1 in increasing order.\nAnswer: -2497, -1, -0.1, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*z**2 + 9 - 229844*z - 8*z**2 + 229861*z as v + q*z + c*z**2 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 132 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 times -55370?\nAnswer: -553.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 373*g**2 - 3.\nAnswer: 373*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -101577, -101383, -101203, -101043, -100909, -100807?\n\"Answer: -b**3 - b**2 + 204*b - 101779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of -t**7\/630 - 17*t**6\/360 - t**5\/6 + 125*t**4\/18 + 500*t**3\/9 - 76*t**2 + 2. Suppose z(k) = 0. Calculate k.\nAnswer: -10, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bxbx when four letters picked without replacement from hxxxbbx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 115 or 15.806?\nAnswer: 15.806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, y: 6, n: 4}. Give prob of picking 1 x, 1 n, and 2 y.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1057637484?\nAnswer: 2, 3, 29378819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101*f - 109*f - 15*f + 897 = 0 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = -3*s - 3, 17*n - 13*n + 8 = 2*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.1  (b) -2\/5  (c) -4  (d) -834  (e) 4  (f) 1\/2  (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1504403069 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6 - 6) + (3 - -1). Let v(d) = d**3 - 4*d**2 - d. Give v(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 4*v**2 - 7*v. Let b(t) = 3*t**2 - 5*t. Let h(o) = -7*b(o) + 5*p(o). Let m(z) = 196*z**2. Determine m(h(y)).\nAnswer: 196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 182836591, 182836586, 182836583, 182836582, 182836583?\n\"Answer: k**2 - 8*k + 182836598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -311*w**2*x**2 + w**2 - 9*x + 1 wrt x.\nAnswer: -622*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 - -19. Suppose -4*n + 3*n - 2*j + 40 = 0, -t*j + 43 = n. Is 34 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -305*l + 932714843 - 932714843.\nAnswer: -305*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 240496 from 3276810.\nAnswer: 3036314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 264 by -37064.\nAnswer: -33\/4633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 30632 (base 7) in base 6?\nAnswer: 54452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34.15, -5, -2\/5, -1.\nAnswer: -5, -1, -2\/5, 34.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i**(-5))\/((i*i**(2\/9)\/i)\/i))\/(i**2*i**(-7)*i)*(i*(i\/i**(1\/5))\/i)**6\/(i\/i**(-2))**(-2\/129) assuming i is positive.\nAnswer: i**(12818\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 90 = 3*v - 70, 0 = 4*v - 5*f - 203. Suppose v*p = 61*p - 11331. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of 0 + 13\/3*r**3 - 1\/60*r**5 + 17*r**2 + 0*r + 1\/3*r**4. What is the units digit of x(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iajiiaacjbiiiiiaac. Give prob of sequence cbjj.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -3*v + 12. Let m be -6*((-45)\/75 + (-2)\/(-20)). What is f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1314291515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1765 (base 12) to base 4\nAnswer: -223331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 9*i**2 - 54*i - 61. Let u be a(7). Solve h = -4*c + 18, 2*h + u - 6 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d**2. Let u(l) be the third derivative of 17*l**5\/20 + l**4\/24 + 8*l**3\/3 - 2*l**2 + 795*l + 2. Determine u(o(m)).\nAnswer: 204*m**4 - 2*m**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2490614?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -3*n. Let k(w) be the third derivative of 5*w**4 + 8*w**3\/3 + 11*w**2 + 7. Let i(a) = 2. Let m(d) = -8*i(d) + k(d). Give m(h(c)).\nAnswer: -360*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 443 divide 17817129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34786 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*q + 66*q - f = 23, 0 = -5*q + f + 37 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20 and -156289.\nAnswer: -3125780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -25ba6a - 0?\nAnswer: -25ba6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101100 - 1000010?\nAnswer: -1101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a**4 - 600*a**3 - 2*a**2 - 22*a - 278976.\nAnswer: -8*a**3 - 1800*a**2 - 4*a - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 829 = 5*j, 0 = 4*q + 4*j - j - 1144. Let c = q + -154. List the prime factors of c.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 PM and 11:46 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 4. Let m = 381.4 - 381.2. Let x be 7\/7*-2 + -2. Sort q, m, x in decreasing order.\nAnswer: m, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*f**2 - 173 + f + 2*f + 85 - 2*f + 94 + f**3 to the form g*f + p + j*f**3 + d*f**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 188 divide 2075201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 68 - 67. Let l be p + (-10)\/(-24)*4. Let k = 1 - 1. Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11124, 3, -3 in decreasing order.\nAnswer: 3, -3, -11124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -47*j - 4888. Let r be c(-104). Solve r*y = -y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3939 + 4349. What is the highest common factor of 55 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of -f**7\/70 + 17*f**6\/40 + 19*f**5\/20 - 17*f**4\/8 - 9*f**3 + 3*f**2 + 203. Factor x(k).\nAnswer: -3*(k - 18)*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 4*k + 14. Let p be q(0). Let r(f) = 3*f**2 + 7 - 2*f**2 - 3 - 13*f. What are the prime factors of r(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 - 63*n**2 + 151*n + 1747. Determine q(60).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 175131201 to the power of 1\/3, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -200111 + -20?\nAnswer: -200131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 0 - 15 = 3*v, 2*m = 6. Let s be v\/(14*16\/56). Which is smaller: -10 or s?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3133338?\nAnswer: 2, 3, 13, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -96768 divided by 288\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -3 + 0 + sqrt(44) + -5*(sqrt(44) + sqrt(132)\/sqrt(3)) - (-2 + sqrt(1584) + 0 - ((3*sqrt(11)*1 - sqrt(11)) + -5)))**2.\nAnswer: 616*sqrt(11) + 8745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of (10\/4)\/(7\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48214242 is divided by 327988.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + i + 8. Let x = 2 + -1. Suppose -5*y + 4*l = -5, -3 = 5*l - 28. Solve 0 = -i*g - x + y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 237.\nAnswer: -4\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 2 x when four letters picked without replacement from xnbdmbmdnxbb?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4671?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -105.5 - -79. Let v = j - -27. Which is bigger: 0.3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48758 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m**2 - m**2 - 5*m**2 + (-4*m + 4*m - m**2)*(0 - 3 + 4))*(3559 - 3559 + 938*m**3).\nAnswer: -2814*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-2) - (-2 + 1). Let i(g) = g + 1. Let m = 10 + -16. Let f be i(m). Which is the nearest to 0.1?  (a) f  (b) -2\/3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 13. Suppose -r*q = -w + 7, 5*w - q - 21 - 5 = 0. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + 6 - (-19 - -47)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -5 + -6*(5 + ((sqrt(57) - (sqrt(57) + (sqrt(57) - sqrt(2052)))*-3 - sqrt(57))\/(sqrt(60)\/sqrt(5)))**2).\nAnswer: -4134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 42273 at most 45066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of g**4\/4 + 2*g**3\/3 - 5*g**2 + 3*g + 990. Give p(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -0.05, 31, 79 in descending order.\nAnswer: 79, 31, 1\/2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/1782 and 11\/810?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 2 - 0. Let x be (7*12\/210)\/(3\/10). Is x at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7991*x**4 + 4074*x**3 - 13706235 wrt x.\nAnswer: 31964*x**3 + 12222*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of 199*l**6\/20 - l**5\/10 + l**4\/3 - 2*l**3 + 5*l**2. Let q = -4 + 13. Let y be m(q). What is y rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1441200233 + 5?\nAnswer: -1441200224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 135 = -5*q, 2*c + 11*q - 13*q - 94 = 0. Let k = -22 + c. Calculate the highest common factor of 84 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3659 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -3*c - 9, -129*c + 124*c - 16 = 2*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1670347057 a multiple of 4712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5664 divided by 4?\nAnswer: -1416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from edhudhhuuhue. What is prob of picking 2 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 525538.\nAnswer: 2, 13, 17, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 502 and 82579.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34211362 or -34211364?\nAnswer: -34211364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of -l**5\/60 + l**4\/6 - l**3\/6 + 3*l**2. Let s(w) = -w**2 + 10*w - 7. Let g be s(9). What are the prime factors of q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (6 + -14)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -117, -113, -99, -69, -17, 63?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 8 + d + 1 - 8*d**2 - d**3 + 0 - 7*d. Let x be h(-7). Is 0 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 185751 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 61066479 and 38643.\nAnswer: 3513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 20.55 + 9069633.\nAnswer: 9069653.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 + 0.442?\nAnswer: 38.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 740?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47964829.\nAnswer: 11, 4360439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3187548.\nAnswer: 2, 3, 7, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 2*r**3 + 4*r**2 - 7*r**2 + 3*r**2 to b + m*r**3 + s*r + t*r**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 0.04, -7\/6, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 241 divide 272812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12767 and 5984.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*v = 117*v - 7344. What are the prime factors of v?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2362?\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 13  (b) 60  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 5*x - 150 = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 7*h + 4*h + 60, -d - 2*h = -22. Suppose -150 - d = -2*w. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.03 - -0.13. Let d be (-2)\/(-8)*0*-1. Let t be d + -4 + 25\/10. Sort m, t, -2.\nAnswer: -2, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 89847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 5*o - 28800000. Round o to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 55\/2788 + -13523\/3370692. What is the common denominator of -19\/465 and s?\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -6*k**2 - 5*k - 1. Let u(n) = -17*n**2 - 14*n - 3. Give -11*q(w) + 4*u(w).\nAnswer: -2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a. Let j(h) be the third derivative of -37*h**4\/24 + h**2 + 9. Give m(j(f)).\nAnswer: -74*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2\/11 + 34604*s\/11 + 2990736\/11.\nAnswer: -2*(s - 17388)*(s + 86)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 4*z + 126. Let x be p(-32). Let i(k) = 46*k**2 + 7*k + 7. What is the tens digit of i(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -64, 3, -114, 5, 0, 19 in ascending order.\nAnswer: -114, -64, 0, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 1 = 4*y. Suppose a - y*f - 1 = -2*f, -19 = 5*a + 2*f. Calculate the lowest common multiple of 22 and (-68)\/a + (-2)\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -404, -934, -1804, -3014?\nAnswer: -4564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -3*n**2 - 971*n + 2. Let q(b) = -b**2 - 486*b + 1. Determine -3*l(p) + 5*q(p).\nAnswer: 4*p**2 + 483*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 1. Let v(b) = -11*b - 2. Let i be 58*(-5 + (-22)\/(-4)). Suppose -i = 14*o + 15*o. What is o*v(s) - 2*t(s)?\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 11*v**2 - 3*v. Let d be h(-1). Suppose -d*c + c = -442. Suppose 4*o + n - 65 = -2*n, -2*o - 2*n = -c. What is the remainder when 39 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1968 - 1965. Solve 0 = 5*r - i, -c*r + 6*i - 2*i = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 144 and 792.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of -j**3\/2 - 39*j**2\/2 + 4*j. Let h be k(-13). Suppose -5*s - 5*v + 21 + 209 = h, v + 44 = s. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 10 - 1078706?\nAnswer: -10786a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -8, -1, 13, -720, -4\/9, 0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0  (b) 0.2  (c) -1.701  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 w when three letters picked without replacement from oweehwewhwseeeoss.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-126450)\/(-14) + 455\/(-3185). Which is smaller: 9033 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/3 + (-2)\/30*(-21 - (-254)\/2)?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(1*(-2)\/3). Let w(g) = 8*g**2 + 2*g - 1. Let v be w(o). Suppose 0 = 5*t - 2*d - 47 - 6, 5*t = 5*d + v. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*u + 4*p + 349 = -21*u, -2*u = 4*p - 758. Suppose 7*a = -u + 103. Are a and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 106 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 8*b**2 + 4*b + 1. Let x be g(3). Let t be -1 + (-4)\/(-3) - 202\/(-6). What is the greatest common factor of t and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*q + 17*q = 8736. Let h(w) = w + 8. Let y be h(-7). Let f be ((-4)\/5)\/(y\/(-20)). Calculate the greatest common factor of f and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 107754 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 4*x = -0*x + 857656, 4*x = 3*o - 643263. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.6 - 0.1. Let w = -266.4 - -266.7. Which is the closest to -2\/19?  (a) w  (b) g  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llxllxkxxsxxx. What is prob of picking 2 l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j - 8. Let i be p(-8). Let g = i + 7. What is the remainder when 58 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/67?  (a) 0.6  (b) 1\/3  (c) -26  (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = 2*w + 2, w = -7*v + 11*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/2*5\/(5\/(-1)). Let a(r) = -r**3 + 2*r**2 + r + 3. Give a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -3*u**2 + 0*u**2 - 3*u**2 - 12*u + 5*u**2 + 4. Let g be d(-12). Solve 3*w = -x - 15, g*w + 14 + 6 = -4*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 + 5*a - 4. What is the least common multiple of z(-6) and 1 + -2 - 4\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 + 5*a - 2. Let f be q(-5). Let w be (-2*f\/(-12))\/(2\/6). Let x be -1*1 + 1 - 5. Sort w, 5, x in decreasing order.\nAnswer: 5, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (9 - 9) + (-43)\/176 and -53\/112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence plot when four letters picked without replacement from {p: 1, o: 1, n: 1, l: 1, f: 2, t: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.54, 12, -1\/7, -0.1 in decreasing order.\nAnswer: 12, -0.1, -1\/7, -0.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 105*v**2 - 5. Let o(n) = -12*n. What is o(a(m))?\nAnswer: -1260*m**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaeeeeaeaaeea. Give prob of sequence aaea.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -0.1  (c) -3  (d) 4\/5  (e) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 327*y - 5. Let n(w) = 327*w - 5. Let b(q) = -5*l(q) + 4*n(q). Suppose 3*f - 18 = 3*u - 2*f, -12 = 2*u + f. Is b(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*r - 113 = 22*r - 125, -3*r - 6 = -2*i - 34 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from kkkehehrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 PM and 5:54 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) 52  (c) -0.2  (d) 37  (e) -69  (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/10)*g**3*g)\/((g**(-2\/15)*g)\/g*g\/g**(-1\/3)))**(10\/7) assuming g is positive.\nAnswer: g**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2219, 1181, -569, -3037, -6229?\nAnswer: -10151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*(-2)\/(-1))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 15 = x, x = 2*x + 5. Let y = 20 - 14. Let c = y - 2. Solve 7*z = k*z - 2*s - 24, -c*z - 22 = 3*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78)\/sqrt(8))\/(sqrt(12)*-6).\nAnswer: -sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from csscscccsccccccccsc.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -i**4 + 251*i**3 + 2*i + 70 wrt i.\nAnswer: -12*i**2 + 1506*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16, -28, -52, -94, -160, -256, -388?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(325) - (-1 + (sqrt(325) - (sqrt(325) + sqrt(325) + 0 + sqrt(325))) - sqrt(325)))*-4)**2 - -3*(sqrt(1053) + -1 + sqrt(1053) + 4).\nAnswer: 694*sqrt(13) + 83225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43*k**3 + 8*k**2 + 900*k wrt k?\nAnswer: 258*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 e when three letters picked without replacement from {k: 3, f: 1, e: 4}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 3*f**2 + 54*f - 48. Let k be m(-19). Which is smaller: -0.08 or k?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -515 + 584. Calculate the greatest common divisor of 621 and g.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 5*x - 17, 0 = -x - x + 3*w + 11. Let r be (-1 - -5)*(-1)\/(-4). Let a(v) = 16*v - 1. Let s be a(r). Solve -x*g - s = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 46799900 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + w - 37 = -4*w, -28 = -2*l - 4*w. Suppose l*s = 13*s - 1287. Let d be 2\/6 + 76\/6. What is the highest common divisor of s and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -25\/269, -43 in decreasing order.\nAnswer: -25\/269, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9925 = 5*d - 5*j, -4672 = -2*d - 3*j - 727. Solve d = -7*n + 2036 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 409 - 412. Suppose -4*p - 12 = -p. Let c = 0.06 + 3.94. What is the third smallest value in v, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + 10*h**2 - 10*h + 11. Let o be (6\/(-8))\/((-6)\/72). Let s be j(o). Suppose s*f - 38 = f - 5*q, 0 = 2*q + 6. List the prime factors of f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 72340758 and -1593?\nAnswer: 72342351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -740696 - -14.57.\nAnswer: -740681.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 39021204821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 + 13*z - 1253. Calculate q(29).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -13*a - 1200. Let q(c) = -23*c - 2401. Determine 4*q(o) - 7*y(o).\nAnswer: -o - 1204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000035127 to seven decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*v + 120 = 22*v - y, 5*y = 0. Calculate the remainder when v is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 294145851.\nAnswer: 3, 269, 389, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 631 + -2527\/4. Which is the closest to -0.1?  (a) 0  (b) z  (c) 0.4  (d) 2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of -7\/32*n**4 + 28*n**2 + 0 - 1\/16*n**5 - 3\/8*n**3 + 0*n - 1\/160*n**6. Find v such that w(v) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7\/11861933 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -44650*u**5*z**2 + 2*u**2*z**2 + 6*u*z - 4*u - 6*z**2 + 8*z wrt u?\nAnswer: -893000*u**3*z**2 + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81 + -5 - (1062 + -1074).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - -8 - (2 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18 + 12. Let m = 16291.9 + -16292. Let q = 8 - 8.3. Which is the second smallest value?  (a) m  (b) 0.3  (c) q  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = 3*x + 3*z, 0 = x + 4*z + 7 - 25. Suppose -2*s + 3*g = 11, 2*s = 4*g + 2 - x. What is the lowest common multiple of 14 and (s - 14\/5)*-20?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2, 23, 62, 119?\n\"Answer: 9*b**2 - 6*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -68 * 0.5\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 37 in 1\/4, -95, -0.3, -0.1, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 216 and 45072.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p**(1\/5)*p*p*p*p**(-1\/2)*p*(p**0)**47)**(-1\/81) assuming p is positive.\nAnswer: p**(-19\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -39, -90, -179, -318, -519, -794, -1155?\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-54) + 4472\/(-2322).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 281\/417 + -1\/139. Let k = 28.7 - 29. Which is the closest to t?  (a) -0.5  (b) k  (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51689340, 103378680, 155068020, 206757360, 258446700, 310136040?\nAnswer: 361825380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*k**5 + k**2 + 0*k**2 - 12*k**5 + (-k**2 + 2*k**3 + k**2)*(-5*k**2 - 4*k + 4*k) + k**5 - 2*k**5 + 5*k**5.\nAnswer: -28*k**5 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rpkf when four letters picked without replacement from rfruuuuupukunuk.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1216)\/(-1140)*3\/(-4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*c**2 - 14068 - 27*c**2 + 14068.\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (36\/15)\/3*45\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -5*g**3 + 12*g**2 + 7*g + 15. Let q(u) = 6*u**3 - 13*u**2 - 7*u - 15. Let l(c) = 6*q(c) + 7*r(c). Let z be l(-5). Let y(j) = 4*j + 1. Give y(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 9, v: 3}. Give prob of sequence vy.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2012 by -1006.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 80838, 80820, 80798, 80778, 80766, 80768, 80790, 80838?\n\"Answer: o**3 - 8*o**2 - o + 80846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - m + 2 = -0*m, -866*m = -4*w - 870*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -6*j**2 - 2*j**2 - 17*j**2. Let x(u) = 53*u - 162. Let r(t) = -6*t + 18. Let c(o) = 18*r(o) + 2*x(o). Give c(b(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5\/(-2))\/(4\/16). What is the lowest common multiple of 4\/m + 84\/10 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, d: 8}. Give prob of sequence dhdh.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4194 - -4193.89385. Round v to three dps.\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 33 - 42. Let m(l) = 4*l + 38. Let i be m(d). Suppose 5*t + 2*w = 2, 3*w = -4*t - 2*w + 5. Sort -5, t, i in decreasing order.\nAnswer: i, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 - 2*s**2 + 173*s + 27. Calculate m(-14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00143376247 to five decimal places.\nAnswer: -0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 18 = -4*h - 10, 0 = -4*y + 2*h + 22. Suppose y*j - 25 - 7 = 5*s, -j + 19 = -4*s. Suppose -2*x - j*x = -20. Solve -d = -2*d - x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v. Let o be p(-8). Suppose 0 = -3*q + 4*y + o, 0*y = q + 2*y - 12. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*b**3 + 7 + 3*b**3 + 74 + 39.\nAnswer: 18*b**3 + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 452642 and 2669?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - 9*o - 2. Let i be y(9). Let q be i\/40*2*-6. Put q, 0.1, -1 in decreasing order.\nAnswer: q, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -c*g**3*q - 868*c*g**3 - 2*c*g**2 - 18027*c*g*q - 2*c*g + 2*g**3 + 2*g**2*q + 9*g wrt q?\nAnswer: -c*g**3 - 18027*c*g + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.7940632 - 0.1043248. Let u = b - -1.9. Round u to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.99999952 - -5. Round j to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 18 = -0*v. Suppose v*t = 7*t - 12. Suppose -t*p + 6 = -0*p. Solve -p*x - 18 = 4*k, 5*k - k + 5*x = -21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = 2*w - 275. What is the remainder when w is divided by (-1)\/((-4)\/(-18))*-6?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -33*j - 1. Let c be v(1). Let r be 2\/3 + c\/(-3). Suppose x + r = 2*x. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -39259248, -39259249, -39259258, -39259281, -39259324, -39259393?\n\"Answer: -d**3 + 2*d**2 - 39259249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 177.89 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2732 - -2732.5008. Round u to two decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.04757 + -3.04757. What is the nearest to 0.1 in 2, c, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15531829?\nAnswer: 17, 913637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (w + 0*w - 3*w)*((0*w + 3*w + 6*w)*(-8*w + 7*w - 11*w) - 3*w**2 - 2*w + 0*w**2 + 2*w**2) as f*w**3 + j*w**2 + g + h*w and give f.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 + 6. Let z be 0*(-4)\/(-4 - 0). Let n be f(z). What is the third derivative of -11*s**6 - 33*s**4 + 33*s**4 - 4*s**n - 5*s**2 wrt s?\nAnswer: -1800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23132 - -2101?\nAnswer: -21031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10)\/4*(-22 + 36). What is the units digit of (340 - 0)*(-8 - 294\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119*v + 130*v - 44 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-54 - -55 - 8\/2)*-1. Solve 12 = -j + 2*x + 2, -4*j - s*x + 15 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/5866015 and 49\/52610?\nAnswer: 11732030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - -1) + 3 + -1. Let r = -9 - -13. Suppose 2*f - 18 = v*l, -r*f - 2*l - 3 = -23. Calculate the remainder when f is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 4*x + 9. Suppose -4*y - 16 = o, 12 = -3*y - 14*o + 12*o. What is h(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 52, 115, 198, 295, 400, 507?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1105261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 92 and 1242?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - ((2 - 3) + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 116292952\nAnswer: 3\/116292952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -19*x**2 + 6. Let b(g) = 37*g**2 - 11. Calculate -6*b(r) - 11*n(r).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 60 = -4*g, -77*p - 78*p + 150*p + g = -384 for p.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 193.1015 - -0.1085. Let h = -194 + i. What is h rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 805.13, -0.1, -4\/5?\nAnswer: 805.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 3*m**3 - 3*m**2 + 7*m - 11. Let h(y) = 8*y**3 - 8*y**2 + 20*y - 32. Give -4*h(w) + 11*v(w).\nAnswer: w**3 - w**2 - 3*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*2*sqrt(2) - (sqrt(128) + -1) - (-1 + sqrt(162) + 2*sqrt(162))) + -5)**2*2.\nAnswer: 276*sqrt(2) + 2134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j + 10*j**3 - 23*j**3 - 19*j**3.\nAnswer: -32*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 6*z = -936. Let g be 429\/z + 0 + (-1)\/(-4). Sort 2, 31, g in descending order.\nAnswer: 31, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r + 2. Is 4 a factor of b(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 3\/(-8))\/((-2585)\/77550)\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -52.84 - -48.9. Let w = h + -0.06. Let n = w - -4.3. Which is the smallest value?  (a) -0.4  (b) n  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130*z + 125*z + 30 = 0. Round z to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) -3.4  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - 2)\/((-5)\/5). Let m(b) = 0*b**2 - 2*b + 2*b - c*b**2. Let j(g) = -5*g - 3. Let l(o) = -14*o - 8. Let d(n) = 8*j(n) - 3*l(n). Determine d(m(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -106  (b) -1\/3  (c) 2\/9  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 10565*b**2 - 3*b + 27. Let c(k) = -18594401*k**2 + 5281*k - 47529. Give -3*c(h) - 5281*f(h).\nAnswer: -10562*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -12  (b) -3  (c) -5  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-2 - (-8 + 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -9*m**5\/2 - 12799*m**4 - 11133342*m**3 - 2890726084*m**2 - 229833414720*m - 50931462400 = 0.\nAnswer: -1240, -182, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 12 = -4*r, 4 - 12 = 4*f + 4*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-30)\/(-8) + -3)*4. Let s = a + -2. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 2*r**5\/7 - 2*r**4 + 36*r**3\/7 - 40*r**2\/7 + 16*r\/7 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l - 2*l + 5*l)*(3*l**3 + 3*l**3 - 5*l**3) + (3 + 2 + 0)*(54*l**4 + 683*l**3 - 97*l**4 + 41*l**4).\nAnswer: -12*l**4 + 3415*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3524013 and 891?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = -3*l + 20, 3*r + l - 21 = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -403 - -402. Which is greater: 7\/13 or o?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/9)*t**(-1))\/(t**(-1)\/(t*(t**(-1\/8)*t)\/t*t*t)) assuming t is positive.\nAnswer: t**(223\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 66, 61, 56, 51, 46?\n\"Answer: -5*z + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1010010110000001 (base 2) to base 11.\nAnswer: -29918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 5 + 6 - (1 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/8 in -7, -2\/5, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -fac5a - -33?\nAnswer: -fac27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0721 + -0.1721. Are -11 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3261.\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 68 + -52. What is the greatest common factor of h and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d**2 + d**2 - 6*d**2)*(3 - 1 + 0)*((-2 - 1 + 1)*(0*d + 5*d - 2*d) + 2513 - 2513 - 18*d).\nAnswer: 96*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.66 take away 0.079?\nAnswer: -0.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*-5*(-9)\/765?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in -4\/11, -0.3, 1\/2, -1\/4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 30213\nAnswer: 1\/10071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from prprecprcccpcperecp. What is prob of picking 1 c and 2 p?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -132*l**5\/7 + 280*l**4 + 836*l**3 - 17232*l**2\/7 - 3056*l\/7 + 1088\/7 = 0.\nAnswer: -4, -1\/3, 2\/11, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -4*h, -38 = -10*y + h - 4 + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/3, -410, 28, 0.1999?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24458945?\nAnswer: 5, 7, 698827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 437*p + 434*p + 405*p - 1278*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 211391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-343 + 370 - (-1 - -42)) + -88?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1397 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**3 - 15*i + 23*i - 9*i + 1 - 1 - i**3 + (-1 + 1 - 2*i)*(0*i**2 - 2*i**2 + 0*i**2) + 2*i**3 - 4*i**3 + i**3.\nAnswer: i**3 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/900 and 59\/900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 1 + (3 + sqrt(68)\/sqrt(4) + 2 + sqrt(1377) - (-4*-1*sqrt(187))\/(sqrt(121)\/(sqrt(11) - sqrt(176)))))**2.\nAnswer: 484*sqrt(17) + 8349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1492*a - 15035 = 4*b - 3111, -2771*a + 2768*a + 5*b = 39 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4058 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -8 - (38 + (1 - (-8 + 22)))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 18341782 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - j = 7 + 9, -5*m + 40 = 5*j. Let v be 32 + (23 - 3355\/77). Is v greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46037637 is divided by 156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 0.136, 0.5, 0.2, 1\/6 in descending order.\nAnswer: 15, 0.5, 0.2, 1\/6, 0.136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 + -9. Let v be (72\/(-20) + 3)*d. Let o = v - -15. What is the highest common divisor of 132 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 313, -97, 5, -2, 2, 3 in decreasing order.\nAnswer: 313, 5, 3, 2, -2, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 4*b - 2. Let t(z) = 1. What is f(m) + 2*t(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 328*q - 38. Let n(w) = -2*w + 17. Calculate 2*n(u) + o(u).\nAnswer: 324*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z - 3. Let d be t(-8). Suppose 4*k - 115 = -d*m, 0 = 7*k - 2*k. Let q = m + -13. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 2\/3, -1.5, 0.4, 28021 in descending order.\nAnswer: 28021, 13, 2\/3, 0.4, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v + 2*v + 354*v**2 - 1 + 2. Let u be k(1). Suppose 0*r + u = 5*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -512687, -1025336, -1537923, -2050418, -2562791, -3075012?\n\"Answer: 5*h**3 + h**2 - 512687*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of y**3\/2 - 2*y**2 - y. Suppose 6 = -g + 3. Determine t(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 g when three letters picked without replacement from kkkkaakvhavjjkkgk.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3006974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8836 + 8839. Suppose 0*m**n - 2\/15*m**4 - 4\/15*m + 0 + 2\/5*m**2 = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*v**4 - 2153*v**3 + 1672114*v**2.\nAnswer: 72*v - 12918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16.78 - -16.776984. Round b to four decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.5603 rounded to one decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1270, -10329, -34888, -82687, -161466, -278965, -442924, -661083?\nAnswer: -941182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (21\/(-9)*-15*1)\/(81\/(11340\/175))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -126 + 125.884. Let t = c - -0.076. Suppose 4*j + 0*j - 11 = 5*u, -17 = 2*j + 5*u. Which is bigger: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/11 - 52692*p + 23187680\/11.\nAnswer: -2*(p - 40)*(p + 289846)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -e757 (base 15) to base 11.\nAnswer: -33821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the first derivative of 2*t**2 - t - 2. Let z be u(1). Suppose 5*b + 3*j + 10500003 = 0, -z*j + 2099997 = 3*b - 4*b. Round b to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4 - -212157438731.\nAnswer: 212157438730.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1175 + 3203. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 19807314 and -2?\nAnswer: 19807316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -1. Let d = 4 - l. Solve 26 = 3*j + 4*u, -2*j = 2*j - d*u + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, k: 15}. Give prob of sequence kd.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 729 + -722. List the prime factors of (-4854)\/(-4)*w*(-24)\/(-126).\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in 0.05, -1\/6, 1\/9, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w - 5*w = 518. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = j + 598, 0 = -2*n + 4*j + 532 + 78. Suppose -4*h + 27 = -n. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -34043 + -4?\nAnswer: -34047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2329532?\nAnswer: 2, 23, 25321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-4))\/(-12*(-8)\/32).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74705641 is divided by 1577.\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 824*c**3 + 4*c**2 + 10*c - 18. Let i be u(12). Let g be (7 - -3)*27545*1. Let t = i + g. What is t rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 9*m**2 - 4*m - 1. Let o be j(1). Which is the nearest to -13?  (a) -3  (b) o  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + -20221121222221?\nAnswer: -20221121222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 10*y**2 - 2*y - 1. Let s be b(-1). Calculate the greatest common factor of s and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of -13*t**5\/60 - 7*t**4\/8 - 7*t**2. What is the second derivative of m(i) wrt i?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 5*y. Suppose 1 = -2*t + 5. Suppose o = t*g + 10, 4*o + 1 = 2*g + 17. Let n(j) = -j**2 - o*j**2 + j**2. Give z(n(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -8*f**3 + 7*f**2 + 4*f. Let u(l) = 9*l**3 - 8*l**2 - 5*l. Let m(h) = 5*a(h) + 4*u(h). What is the third derivative of m(p) wrt p?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 PM and 4:30 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of -w**7\/210 + 139*w**6\/150 - 1007*w**5\/20 + 14281*w**4\/60 - 7004*w**3\/15 + 2312*w**2\/5 + w + 355. Factor t(d).\nAnswer: -(d - 68)**2*(d - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 91 - 59. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 - 24*h**2 - 149*h + 67. Give c(-14).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**4\/3 - 13336*p**3\/3 + 71187*p**2 - 947936*p\/3 + 747712\/3 = 0. What is p?\nAnswer: -13352, 1, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1642\/(-3)*(-561)\/22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.56 + 19.44. Let j = z + -46. Let t = 32 + j. Sort -1\/3, t, -1\/4, -0.1 in decreasing order.\nAnswer: t, -0.1, -1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5*u + 11 = -78, 0 = 2*m - u - 85. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 759350 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 - 20*q**2 + 2. Let o be a(-20). Suppose 13 = 2*c + o*m - 19, 0 = 4*m - 4. Calculate the remainder when c is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/2*1\/(-2)*(-350)\/(-735)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 4\/3, -86, 0.4, 2\/15, 12?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 113299 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 1 = p, -2*u - u = -3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*a - 25 + 55 = 312 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 7802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.009745838 to four decimal places.\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 713 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 3*s - 167, 100 = -4*a + 4*s + 232. Solve 17*i + 115 = -a for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20749 - -20751. Suppose q = -a + 15, 4*a - q + 0*q - 55 = 0. What is the greatest common divisor of h and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 2*i + 3. Let o(r) = r + 4. Calculate 4*o(h) - y(h).\nAnswer: 2*h + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -v - 8, -f = 4*v - 41. Find the third derivative of f - 65*t**3 - 2*t**2 + 16 - 39 + t**5 wrt t.\nAnswer: 60*t**2 - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3079285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -391157 - -390901.287. What is i rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*b - 2*b + 6*b + b in the form v + c*b and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 200022202210 (base 3) in base 4?\nAnswer: 1120003233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(1\/3))**(1\/4))**(-23)\/((g\/((g**4\/g)\/g))\/g*g*g**3)**(17\/4) assuming g is positive.\nAnswer: g**(-125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*r*x**5 + 5*r*x**4 + r - 2*x**2 + 22*x wrt x?\nAnswer: 540*r*x**2 + 120*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 13*w**3 - 9125*w**2 - 724*w + 15450. Calculate q(702).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from sssnsssssnsssssssss.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 250\/120 + (-24)\/18?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27 and 729?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-81)\/2)*(-6714)\/(-1119)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -614.6735 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:41 AM and 7:43 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/42 and ((-5)\/(25\/29))\/((-12)\/(-5))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12681 - 4*a**2 + 13*a + 3*a**2 + 12682 - 2*a**2 + a**3 to the form w + s*a**3 + u*a**2 + b*a and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1869.\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1177*p**2 + 480 wrt p.\nAnswer: 2354*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -4*w**2 - 2*w + 92. Determine t(-7).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -703 - 10*d**2 - 1971*d + 3968*d - 1997*d + 3*d**2 to s*d + l + m*d**2 and give l.\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.09870748 rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1632123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 2*a - 500, -s + 5*s + 5*a = 417. What is the third derivative of 4*n**3 - 4*n**3 - s*n**4 + 103*n**4 - 7*n**2 wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s + 2*z + 22 = -4*s, -2*s + 16 = -2*z. Suppose 2*u = 5*g, 0*u + 4*g + 7 = s*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -1 + m**3 - 6*m - 45*m**2 - 49*m**2 + 110*m**2 - 14*m**2. Calculate o(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -4*m - 166. What is d(-35)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/26?  (a) -4  (b) 1\/2  (c) -1  (d) 2  (e) 23\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001386 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 - 13. Solve v = 3*z - 2 - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7  (b) -349358  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g - 37. Give h(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2629622 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -466*d**3\/3 - 6997*d**2\/3 - 12221*d\/3 - 182\/3 = 0. Calculate d.\nAnswer: -13, -2, -7\/466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-75)\/225 + (-8)\/(-18)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*z - 22027 = -5758. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 3*u = 0. Suppose -r + 5*r + 52 = u. Let x = r - -24. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*a - 8 = -88. Let s(r) = -22*r**3 + 4*r**2 + r + 87. Let n(u) = -u**3 + u**2 + u + 2. Let b(h) = a*n(h) - s(h). Differentiate b(w) with respect to w.\nAnswer: 54*w**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p**2 + 585244*p - 585244*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8485271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36646963 is divided by 387.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 251 divide 143601259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 873852743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 - 41. Which is bigger: z or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3, -20, -41, -66?\n\"Answer: -2*w**2 - 11*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 60 = -o, -3*u + 27 - 45 = 0. Calculate the smallest common multiple of o and 6528.\nAnswer: 19584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3031*a**3*r + 388*a**2*r + 2*r wrt a.\nAnswer: -18186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 310530839 is divided by 2465?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 4*o - 2*o)*(3*o - 4*o + 12947 - 13267).\nAnswer: -o**2 - 320*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(0 + ((-1 + sqrt(343) + (sqrt(343) + -2 - sqrt(343) - sqrt(343)) + 2)*4)**2*6) + 4.\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*c - 5*c - 5*c - 5*c in the form k*c + v and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 + 14*j - 4. Is t(-15) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -6*d + w + 2515, 3*d - 5*w - 2531 = 0. Calculate the highest common factor of 27 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7.15 - -0.15. Let v = j + 7.1. Let i = -1.2 - -0.2. Which is the closest to i?  (a) 2\/11  (b) -1\/3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2754 greater than -121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(459) - sqrt(51) - (sqrt(510)*-1)\/sqrt(10))*-4)\/(sqrt(24)\/(sqrt(48)\/sqrt(6)) - (sqrt(3) + sqrt(3) + sqrt(27)*-4 + sqrt(3))).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2920237, -2920357, -2920477, -2920597?\nAnswer: -2920717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - -18) + (7 - 10). Suppose 0 = -15*v + k*v + 40. Let q = 92 + -72. Calculate the smallest common multiple of v and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -3 + (14 - 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 10652, 2\/19, 0.42, -1, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 + 15 + 2*o**3 + 1 + 2.\nAnswer: 2*o**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 1128*z. Let p(w) = 19 + 23 - 42 - 4*w + 7*w. Determine x(p(n)).\nAnswer: 3384*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, -83, 226 in descending order.\nAnswer: 226, 48, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z**2 + 12*z - 12. Let w be d(-7). Suppose w*h - 5*g = 13, -4*g + g - 10 = h. Let m(n) = -5*n - 3. Let t be m(h). Solve -2*v = -4 - t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4660 - 173647?\nAnswer: -200527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j - 4*j + 3*j)*(-5*j + 6*j - 9*j).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 900358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4042*v**2 + 4080*v**2 + 4022*v**2 - 12122*v**2.\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t**2 + t**2 + 2*t**2)*(-8*t + 8*t - 3*t**3) + 2*t**5 + 192*t - 5790*t**3 + 5790*t**3.\nAnswer: 8*t**5 + 192*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4665718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-32)\/72)\/((12*14\/(-42))\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*k**2 + 2*k**2 + 108*k**2.\nAnswer: 74*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 7*u - 54. Let v be s(12). Suppose 15 = -3*i, -4*i + 3*i - v = 5*n. Let k = 0.3 - -0.2. Which is the closest to n?  (a) 0.3  (b) k  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 4*k**3 + 4*k - 3. Let l be r(1). What are the prime factors of ((-6)\/l)\/(24\/(-1600)*1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(2187) + -2 + sqrt(2187))*-2)**2.\nAnswer: -864*sqrt(3) + 35008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/(-12) - 1)\/((-1)\/4). Let w(x) be the first derivative of 2\/65*x**s + 4\/13*x**2 + 4\/13*x**3 + 2 - 16\/13*x - 5\/26*x**4. Factor w(j).\nAnswer: 2*(j - 2)**3*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19129\/3 + -6375. Let x(r) be the second derivative of 0 + 40*r + 0*r**2 + w*r**3. Let g(c) = -4*c**2. Calculate x(g(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -488 + 81*q - 5*q**2 - 42*q - 39*q.\nAnswer: -5*q**2 - 488","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of 3 + 0*l**2 + 5\/6*l**3 - 4*l. Let m(c) be the first derivative of u(c). What is m(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s*(s**(-2)*s)\/s)\/s)*s*s*s\/(s**(-1\/10)*s))\/((s\/s**(-2\/15))\/s**(-7)) assuming s is positive.\nAnswer: s**(-91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 + 6*g + 4. Let q = 10 + -16. Let x be z(q). Suppose 4*w + 0*w = 4*t - 48, x*w = -4*t + 32. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -0.4  (b) 22  (c) -1\/3  (d) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from peysryy. Give prob of sequence pyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 28\/(-7) - (394768\/(-65794) - -2). Is k smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3*(-4)\/(-6))\/((-22)\/(-1496))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 AM and 6:02 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -5*(5*(sqrt(684) - (sqrt(684) + -3 - sqrt(684))) - sqrt(684)))**2 + -3.\nAnswer: 17280*sqrt(19) + 278781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 293 is divided by 109?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 5*b + 73 = 0, 2*v + 2*v = 5*b - 39. Let g = -12 - v. Calculate the remainder when 14 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4163*c*o**2*u - 41*c*o*u - 2*c*u - 2*c + o**2*u - 24*u - 103 with respect to o.\nAnswer: 8326*c*o*u - 41*c*u + 2*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 63735.49mg in kilograms?\nAnswer: 0.06373549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -216*-154.\nAnswer: 33264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 68 + -67.59. Let d = -0.01 + m. Let u = 0.19 + -2.19. Which is the second smallest value?  (a) u  (b) -4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from ddwdddwdffddfdfffd.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3192*g - 10901*g + g**2 - 31188*g.\nAnswer: g**2 - 38897*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*g - 38*g = -1359 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -6530*49\/28*(-8 + 10 + 278). Round t to the nearest 10000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -47, 320, -28\/15?\nAnswer: -28\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -5 - (-2 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(121) + sqrt(121)*-3)*-6 + sqrt(121)*3*-6)\/((sqrt(275) - (sqrt(275) + sqrt(275)*-2)*2)*-1).\nAnswer: 2*sqrt(11)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 2 z when four letters picked without replacement from zaazaaaa?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 676412772?\nAnswer: 2, 3, 7, 241, 33413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 3*z + 3*p - 18 = 0, -5*p + 20 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of 7*o**5\/60 + o**3\/6 - 3*o**2. Let j(a) = -a + 2. Let b be j(3). What is the units digit of t(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**3 - 7161*c**2 + 1947456*c - 125690292.\nAnswer: -3*(c - 126)**2*(c + 2639)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 3*p**2 - 1313*p + 4775. What is j(434)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -0.5, -0.1, -3, 11\/3 in ascending order.\nAnswer: -3, -0.5, -0.1, 11\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 943 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8 + -41a092?\nAnswer: -41a086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -11, -4, 3, -2 in descending order.\nAnswer: 8, 3, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 7*z**2 - 5*z - 7. Let h = 1614 + -1607. What is p(h)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17001 = 170*s + 17171 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24363.\nAnswer: 3, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a - 3. Let p be q(-5). Let c = p + 24. Suppose 0 = -5*i - c + 1, 5*i + 19 = -2*y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - -6d84?\nAnswer: 6d86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 417 = -233. Let p = -459 + m. What are the prime factors of p?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -5*z**5 + 5*z**4 + 70*z**3 + 130*z**2 + 95*z + 25 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 503*l = -660*l + 31550 + 4503 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 312 + 2*a + 258*a**2 - 930 + 307 + 310 to c + s*a**2 + j*a and give s.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of 5 + 0 + 8*h**2 - 6. Let o(s) be the second derivative of s**4\/6 - s. What is t(o(y))?\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 6 = 0, 0 = -5*s - j + 4*j + 4909. Suppose -3*g + 725 = -5*p + p, -4*g + s = -2*p. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 6*m + 5*x - 22 = 0, 5*x = m + 24. Suppose -4*h = -14 - 22. Let y be 3*((-12)\/h + 2). Which is greater: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12143\/252 at least -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2397*c - 31*c**3 + 29*c**3 - 13 + 12 - 1507*c.\nAnswer: -2*c**3 - 3904*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 64038*w - 2 + 2 - 5075*w**2 - 64038*w as p + u*w**2 + k*w and give u.\nAnswer: -5075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 21 + -7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 12. Let v be 3\/12 + (-3)\/f. Suppose 3*k = 2*j - 57, -j + 3*k + 36 = -v*j. What is the remainder when 62 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**1)**(5\/12) assuming q is positive.\nAnswer: q**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 5, 3\/5, -28, -4254, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 - 9*s**2 + 4*s + 2. Give q(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24970069479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*a + 3*a + a**4 + (-121*a**2 + 167*a**4 + 121*a**2)*(3 + 2 - 6 + (-2 + 1 + 3)*(0 - 1 - 1)) in the form k + m*a + n*a**4 + w*a**2 + l*a**3 and give n.\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 6*t**2 + 16. Let u(s) = s**2 + 3. Let i(c) = 3*p(c) - 16*u(c). Let h(a) = -7*a**2. Calculate i(h(z)).\nAnswer: 98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o. Let r(y) = 11 - 2*y**2 - 11*y - 6*y**2 + 0*y**2. Let h(t) = t**2 + t - 1. Let w(n) = 22*h(n) + 2*r(n). Calculate w(z(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 66 in 2, -2\/28977, 0, -1, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**5 - 6*o**4 - 177*o**3 + 936*o**2 - 1296*o.\nAnswer: 3*o*(o - 4)**2*(o - 3)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - p**2 + 2*p)*(-p**2 + 5*p**2 - 3*p**2)*(8*p - 13*p - 17*p) + 2*p**5 + 0*p**5 - 4*p**5 + 0*p**2 + 0*p**2 + p**5.\nAnswer: 21*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -225*y + 307*y + 1907 - 5531 = 1952 for y.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 102205 + 11405?\nAnswer: 113612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 926 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -1405.1.\nAnswer: -1405.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + 15\/(-5))\/(4\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n - 23. Let o be l(14). Let f = 7 + -6.52. Let t = f - -0.02. Which is the second smallest value?  (a) t  (b) 0.03  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*-15979701\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 12:07 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(95)\/(-3*sqrt(80)).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d**3 - d**2 - 2*d + 5. Let q be h(-3). Let v be q\/3 + (-46 - -44). Factor -20\/3*o + v + 2\/3*o**2.\nAnswer: 2*(o - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 10236, 6600, 2974, -636, -4224, -7784?\n\"Answer: m**3 - m**2 - 3640*m + 13876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 665*f**3 + 2572*f wrt f.\nAnswer: 3990*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*q - 4*z - 1, 0 = -5*q + 5*z + 5. Find the third derivative of -634*u**3 - 2*u**4 + 8 - 4*u**2 + 663*u**3 + q*u**2 wrt u.\nAnswer: -48*u + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -q. Suppose 2*u + q*u = 30. Let h = u + 8. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 28*a**4 - 71*a**4 + 31*a**4 + (-2 + 3 - 3)*(0*a**4 + 4*a**4 - 2*a**4) - a**4 + 4*a**4 - 4*a**4 + (1 + 2 + 0)*(5*a**4 + 7*a**4 - 5*a**4).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 436774513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of 0 + 2\/105*j**7 + 1\/12*j**4 - 1\/15*j**5 - 1\/168*j**8 - 11*j**2 + 0*j + 0*j**6 + 0*j**3. Solve w(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -490270334 - 1757\nAnswer: -490272091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 21\/((-294)\/56)*2*-1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174*s = 182*s - 152 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -53 - -65. Suppose g*n - 7*n - 113 = -2*o, -135 = -3*o + 4*n. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2057 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 PM and 6:47 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 3, 71, 137 in descending order.\nAnswer: 137, 71, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j - 2. Let x be (60\/(-5) - -4)\/(-2). Suppose -6*i = 16 - x. Let h = i + -3. Give r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3213?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of 4*r**3\/3 - 120*r**2 - 244*r + 324. Suppose s(y) = 0. Calculate y.\nAnswer: -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 12642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 112.252 rounded to 1 dp?\nAnswer: 112.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 41\/3 + -14. Let c = 374.19 + -370.19. What is the nearest to 1\/2 in -1, c, q, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v**3\/5 + 79*v**2\/5 + 92*v\/5 + 4 = 0 for v.\nAnswer: -10, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o + 17. Let n be m(12). Suppose -i + 0 = -3*p + 3, -3*p = -2*i. Let k = n - p. Solve -u - 7*s = -k*s - 17, -5*u - s = 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115606 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 613 + -613.0514. Let a = q + 0.051401028. What is a rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of i**7\/1260 + i**6\/8 - i**5\/360 - 5*i**4\/8 + i**2 - 734. Let y(j) = 0. Calculate j.\nAnswer: -90, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 5, -12, -5 in ascending order.\nAnswer: -35, -12, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 108 and 45444888.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3064 or -99405?\nAnswer: -99405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c - 2. Let u be -3*(-6)\/9 - -2. Suppose -u*m = -m - 3*x - 12, 0 = -2*m - x + 2. Let d be 6\/(m - (-3)\/(-6)). Calculate b(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.85 minus 20.768785?\nAnswer: -25.618785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -19*v - 2. Let j be x(-2). Let h be (j\/6)\/((-3)\/(-4)). Suppose 4*y - h = 0, -t + 3*t + y = 46. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 4:11 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*777\nAnswer: -310.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1077005, 1076979, 1076949, 1076915?\n\"Answer: -2*l**2 - 20*l + 1077027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40981 = -3*q - 2*t, 0*t - 54664 = 4*q - 3*t. Let k = q + -8117. What is k rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 160222969.\nAnswer: 163, 787, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*o - 153 = -1188 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -213.36 and 1.56194988.\nAnswer: -211.79805012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.9 - 6. Let o = -0.1 - t. Let j be 5\/3*(-3 - 84\/(-30)). What is the nearest to -0.1 in 5, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -5*m**3 + 146*m**2 - 16*m - 375. Give g(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 7:39 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 6 = 2*j. Let a(u) = -u**3 + 5*u**2 - u + 4. Let m be a(j). Does 13 divide (-38 + 1)\/m - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.42 - -0.02. Let k = 14.4 + -13. Let y = p + k. Which is the second biggest value?  (a) -2\/13  (b) 0.2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/9  (b) 4  (c) -17\/5  (d) 486\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38 by 38.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1364 - -6733. Let a = 13430 - c. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-94 + 23 - -71)*((-1)\/(-4) - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3088*b**2*d**3 + 51*b**2*d**2 + 7*b**2*d + 3*d wrt d?\nAnswer: 18528*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -6. Let g = -57.906 + -0.094. Let l = 58.2 + g. What is the nearest to 1 in v, -5, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1100111 (base 2) to base 10\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of -i**5\/60 + 5*i**4\/24 - i**3\/2 - 5*i**2. Let f be (8 - 7)\/((-1)\/(-4)). Suppose -f = -p - 0. Determine l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -982.7 * 0.3\nAnswer: -294.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -8, -1, 49500, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-14)\/6 + 2\/6. Which is smaller: a or -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0557 - -53.\nAnswer: 52.9443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 - 3*v**2 + 7*v - 10. Let l be f(-5). Suppose -2*n - 2*u + 6*u - 16 = 0, -l*n = 4*u - 16. Solve -4*d + 4*k + 4 = n, 3*k + 13 = d - 2*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 397 + -376. Solve -4*c + 8*v = 3*v + p, 4*v = 2*c + 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1612 or 1614?\nAnswer: 1614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 465053740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6643.547g in tonnes?\nAnswer: 0.006643547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 - 2*x - 1. Let i be w(-1). Suppose 3*j = -i + 8. Suppose -94 - 24 = -j*p. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -583 + 751. Calculate the smallest common multiple of a and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -4*n + 2. Let q be 3\/(-2)*(-32)\/n. What is the fourth smallest value in -4, q, -2\/3, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = 5*f + 238 - 236, 4*r = 3*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**3 - 135*v**2 + 14580.\nAnswer: -5*(v - 9)*(v + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 5:15 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.108 or -29\/6?\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -114888 divided by 57444\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(209) - sqrt(209))*-4*2)\/((sqrt(264)\/(sqrt(8)*-2))\/sqrt(3)).\nAnswer: -32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11788682 is divided by 3929524?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (27\/18)\/(1\/2). Let c(d) = 7*d - 8. Let b be c(h). Suppose -2 = 5*w + 4*x - b, 3*w = x + 10. Let p(f) = f**3 - 3*f**2 + 3*f - 2. Calculate p(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - 3.04. Let m = -2.96 + g. Let f = -16 + 16.4. Which is the third smallest value?  (a) f  (b) -4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1946979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, h: 2, q: 1, d: 4, b: 4}. What is prob of picking 1 q, 1 d, and 1 y?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - 10)*(-1)\/1 - (-21 + 17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*t**3 - 3*t**2 + 201 with respect to t.\nAnswer: 9*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - j + 8. Let x be c(15). Let m = x + -1658. What is the tens digit of (-2)\/17 - m\/102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1018252 - 1018249. Find n such that -4 - 74\/7*n + 24\/7*n**j + 158\/7*n**2 = 0.\nAnswer: -7, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 1  (b) 46.1  (c) 5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20\/29 + 336\/319. Suppose -5*m - 38 = -4*h + 21, 4*m + 4*h + 40 = 0. Let p be (0 - m\/(-9)) + (-96)\/(-432). Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5258304\/45645)\/((-18)\/(-10))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7199 by 7858.\nAnswer: -7199\/7858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42425145 divided by -15.\nAnswer: 2828343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 4*d**3 - 2*d**2 + 120*d - 936. Let v(q) = -q**4 + 6*q**3 - 3*q**2 + 124*q - 938. Let w(p) = -6*h(p) + 4*v(p). What is the derivative of w(i) wrt i?\nAnswer: -16*i**3 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33.2 + -36. Let x = m - -3. Let s = 2.3 - 2. Which is the closest to 1\/2?  (a) x  (b) s  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -351.0171 and -7.\nAnswer: 2457.1197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57 - 25*u - 4*u + 111 - 54.\nAnswer: -29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**(1\/7)*o**(-1\/4)*o*o assuming o is positive.\nAnswer: o**(81\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1093*3.\nAnswer: -3279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35.2 + 35.1. What is the fourth smallest value in -0.2, 1\/4, o, -45?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*f = 25. Let a(n) = 3*n - n - 4*n + f*n. Let x(g) = -2*g. What is x(a(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22424 - 1?\nAnswer: -22425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24443543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:16 PM and 6:46 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 4 = 2*j, 3*y - 2 = -2*j - 0*y. Suppose 5*n - j*d = 174, 3*n = 5*d + 97 + 10. Calculate the highest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p**2. Let y(l) = 14*l - 2. Calculate y(i(w)).\nAnswer: 28*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 26711.73t?\nAnswer: 26711730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 34, -3, -4, -8, 17.\nAnswer: -8, -4, -3, -2, 17, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5b9 (base 16) to base 12\nAnswer: a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + -5. Suppose -3*t + 0*b + 22 = b, t + 6 = 3*b. Let u(h) = -t*h**2 - 7 - 7*h + 8*h**2 - 3*h**2. Calculate u(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 95599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4843955963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 22512849461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 14*372141\nAnswer: 5209974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 - (8 - (-21 + -16))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2391975343 to the power of 1\/3, to the nearest integer?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4827692.\nAnswer: 2, 31, 38933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + 7*d**2 - 19*d + 11. Let v be a(-9). Solve 10 = 15*x - v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 3*o**3 - 21*o**2 + 6*o - 9. Let p(a) = -5*a**3 + 31*a**2 - 7*a + 13. Let l(j) = 8*c(j) + 5*p(j). Give l(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-366)\/(-11895))\/(2\/(-7) + (-72)\/(-105))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.5 and 6.304343.\nAnswer: 5.804343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 612\/(-21420)*5\/28*4.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1.934*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-15604)\/12)\/((-2)\/(-6)). Let m = -2727 - w. What are the prime factors of m?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.05 and 61693818.\nAnswer: 61693818.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11629 and 961999?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 63\/(567\/5382)*4\/(-8). Which is smaller: v or -2678\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + (2 - 3) + 0. Suppose 0*n + n = -2*l + 4, -l - 5*n = -2. Suppose l = -y - 2. Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/1110170 and -52\/361.\nAnswer: 21093230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -31*z + 4. What is l(3)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r + 3*r + 3*r - r + 0 + 0 + r - 2 + 2 - 1 - 2*r + 1 + (-5*r + 3*r + 0*r)*(-4 + 6 - 1))*(-2*r**4 + 0*r**2 + 0*r**2) + 8*r**5 - 5*r**5 + 2*r**5.\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 8:51 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2a (base 12) to base 5\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -7. Let v = -118.3 - -124. Let i = -1.7 + v. What is the nearest to 5 in i, r, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1004 - -1000. Let n(s) = -s**3 - 5*s**2 - 2*s + 4. Determine n(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 165, 23, -113, -243, -367?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 255 + 1635 = 9*p. Let k be -15*(p\/45 - 15\/3). Solve 19 = -k*g - 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f + 5. Let w be n(0). Let u(x) = 2*x - 15. Let h be u(10). Suppose -v - 16 = 4*g - 36, h*v + 5 = g. What is the highest common divisor of w and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -347 = -388*v - 15479 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from {t: 5, b: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**5\/3 + 59*b**4\/3 + 47*b**3 - 1187*b**2\/3 + 1720*b\/3 - 244 = 0 for b.\nAnswer: -6, 1, 2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 3*n**2\/4 - 12621*n\/2 + 53096547\/4 = 0.\nAnswer: 4207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.4, 1\/13, -1937, 5, 2\/3 in decreasing order.\nAnswer: 5, 2, 2\/3, 1\/13, -0.4, -1937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.317606 - -5.4?\nAnswer: 5.082394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/(-25) + (-24)\/(-5). Suppose -l = -4*m + 13, 2*l + r = 3. Suppose 0 = -2*i + 15 - 5. What is the remainder when i is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.9  (b) 2\/19  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 90 = 732. Let n = d + -150. Find the second derivative of -58*r**5 + 109*r**5 + 20*r - n*r**5 wrt r.\nAnswer: -260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 25\/8 - (-11)\/(-88). Solve l*z = 5*h - 26, h = 4*h + 3*z - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3220102023 (base 4) to base 7.\nAnswer: -11041602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 66048 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2786270629 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 361 - 2524\/7. What is the nearest to -0.1 in 3\/4, r, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93 + 30 = 7*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59745 is divided by 161?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -3*z + 3*z + z**2. Let u(k) = 19*k + 1 - 1 + 2 - 2. Give p(u(h)).\nAnswer: 361*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3904661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 63*y**2 - 158*y - 672. What is the lowest common multiple of z(-4) and 726?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, n: 8, m: 2}. Give prob of sequence dnnn.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eooe when four letters picked without replacement from eeeoeeeoee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.92 plus -2151559?\nAnswer: -2151473.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, c: 6, v: 5}. What is prob of picking 1 d and 2 c?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.7 times -17.14?\nAnswer: -80.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of 2*f**5 - 21*f**4 + 1322*f**3\/15 - 924*f**2\/5 + 968*f\/5 + 114. Factor g(s).\nAnswer: 2*(s - 2)**2*(5*s - 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154739566 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 104 and 24336.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.4 - -1.27. Let t = 6.97 - p. What is the third biggest value in -2\/11, 2\/11, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1103 times 19?\nAnswer: 20957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from iigggigirggggiggiii.\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y - 5. Let z be b(0). Let t be (-6)\/(5 + (-7 - 0)). Let x be 2\/4*(6 + -2). Put x, t, z in ascending order.\nAnswer: z, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9881056*l + 16573310.\nAnswer: -9881056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1591 + 49873. Does 211 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -550*l - 2209. Calculate t(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-120)\/(-36)*1\/(-15)*-27\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 672 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**4 - 4*a**3 - 16*a**2 + 16*a.\nAnswer: 4*a*(a - 2)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -137*x**4 + 6*x**2 - 3*x - 136. Let s(t) = -274*t**4 + 10*t**2 - 5*t - 272. Let o(y) = 5*l(y) - 3*s(y). What is the first derivative of o(v) wrt v?\nAnswer: 548*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (8\/(-9) + 14\/63)\/2. Which is greater: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-5 + -2*sqrt(162)) - -3*(3 + sqrt(162) + -1))**2.\nAnswer: 3888*sqrt(2) + 13698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 162020770477 + 0.061\nAnswer: 162020770477.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 = -266*q + 311*q. Let h = -4.9 + 0.9. Which is the closest to q?  (a) h  (b) -6\/5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 3*y - 3. Let l(b) = -2*b + 10. Let v be l(y). Solve -5*x = -x + v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-60725)\/(-77) + (20 - (-4104)\/(-209)). Solve 801*c + 72 = f*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 923848108 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 62 - 1436b?\nAnswer: -14309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of -25*l**3\/3 - 15*l**2 - 5. What is the second derivative of a(p) wrt p?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 14  (b) -0.2  (c) -0.03  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 0.039\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 5*v + 2. Let q be k(-5). Factor 5*p**4 + 170*p**2 - 11*p**3 + p**3 - 170*p**q.\nAnswer: 5*p**3*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/13 - 682\/(-1144).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 31233?\nAnswer: -31301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = -0*c + 3*c. Let r = 4761 - 4758. Calculate the smallest common multiple of r and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004771453 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20312032 + -2000002?\nAnswer: 12312030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 (base 15) in base 2?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 2*k + 15. Suppose -10 = -5*z, -z = 4*b + 3*z + 16. Let d be c(b). Suppose d*v + 44 - 302 = 0. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(((-15)\/2)\/(-15))*-62*2\/(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 16*w**2 - 2*w + 24. Suppose -5*y + 9 = -k - 9*y, 0 = 2*k + 2*y + 18. What is the units digit of x(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -d**4\/2 - 177*d**3\/2 + 3*d**2\/2 + 529*d\/2 - 177 = 0.\nAnswer: -177, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence szy when three letters picked without replacement from izysmrz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*k**5 + 3*k**5 - 2*k**5 + (-k**2 + k**2 + k**4)*(2*k + k + 0*k).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 704958 and 879.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.32*3177.\nAnswer: 1016.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -10 - -9 - (2 + 1). Is (0 + 358)*(-2)\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -843, -1653, -2465, -3279?\nAnswer: -4095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2743 + 1424 + 100*a**2 + 1319.\nAnswer: 100*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 - 16*n + 11. Let d(g) = 3*g. Let v be d(-5). List the prime factors of s(v).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.064148 + -310.\nAnswer: -310.064148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-15)\/(195\/2) + 472\/26. Calculate the greatest common factor of k and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 258 is divided by 34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03086155 to 3 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 787, 1569, 2351?\nAnswer: 3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + x + 7 = -4*o, -5*o = -5*x + 40. Let w be (-4)\/8 + o - (-9)\/6. Let k(g) = -g - 1. Calculate k(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.074 and -1303?\nAnswer: 1302.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*j**3 + 46*j**3 - 140*j - 170*j**3 wrt j?\nAnswer: -768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 14 = -11. Let k(y) = -7 - c*y + 14 - y. Let n be k(-8). What is the greatest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(1700) + -3 + sqrt(1700)).\nAnswer: -12 + 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 0.2. Let v = 28 - 27.6. Let z = 2.6 + v. Which is the second smallest value?  (a) 6  (b) n  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 + 6*q**2 + 54*q - 302. Determine g(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from hhhwbwwqqbssqqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -15 - 12*r + 5*r + 6*r. Let p be v(-10). Let z(d) = -9*d + 9. What is the units digit of z(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 PM and 2:45 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 2 - 3)*(17 + 17 - 26) + 1 - 4 + 2)*(0 - 2*g + 0).\nAnswer: 82*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6460233?\nAnswer: 3, 13, 151, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.02 and -858597.\nAnswer: -17171.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3768*b**3 - 15833 + 3771*b**3 + 15833.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8067 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2221012 - 122000?\nAnswer: -10120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*x**6 - 5*x**3 + 95*x**2?\nAnswer: -600*x**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 18 = a, -a + z - 2 = -23. Solve -a = 3*l + l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 - -0.79812\nAnswer: 0.77812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kmm. Give prob of sequence mk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(-3\/2)))**(-9)*((h**(-1)\/h)\/h)**(4\/15) assuming h is positive.\nAnswer: h**(-143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2*a + 3 = 0, 0 = 2*m + 8*a - 3*a + 13. Suppose -2 - m = -3*f. Sort 4, f, 0 in decreasing order.\nAnswer: 4, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 236 and 132795548.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -65.69 minus 19.8493222?\nAnswer: -85.5393222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12 + 71. Calculate the remainder when y is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 43 = -2*w + 4*v, 110 = 5*w - 2*v. Suppose n - 6*n + w = 0. Let t be (2 - (1 - n))*1. What is the highest common factor of t and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*l = -48*l + 1660. Let c = l + 419. Solve -16 = 3*y + y, -2*n + 16 = -c*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 - 1756?\nAnswer: -1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/p**(1\/15)*p*(p\/(p\/((p\/((p\/(((p**(2\/19)\/p*p)\/p)\/p))\/p))\/p)))\/p*p**(4\/5)\/p*p**(3\/7)\/p assuming p is positive.\nAnswer: p**(-3457\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 6*d**2. Suppose -9*i - 630 = 5*i. Let x = -47 - i. Let p(t) = -t**2. Calculate x*j(y) - 11*p(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 84, 24, -115.\nAnswer: -115, 24, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 102014 - 14034?\nAnswer: 32430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 24 = -0*g. Suppose 5*c = 296 + g. Let h = c + -39. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 23*h - 4. Let s(n) = 4*n - 1. Let q(u) = 3*g(u) - 12*s(u). Let d(j) = 18*j. Determine q(d(c)).\nAnswer: 378*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1280)\/576)\/(8\/36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96 (base 16) to base 5.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 5559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qrfxqqqqqrxqqfxf. What is prob of picking 2 q and 1 f?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*m - m**2 - 8*m + 9*m + 3*m + 2*m**2 - 19*m.\nAnswer: m**2 - 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, x: 2, n: 1, q: 1, s: 3}. What is prob of sequence ssns?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 19 = -5*a - 2*n, -5*a - 5*n = -15. Suppose -a*x = -5*l - 280, -320 = -5*x + x - 5*l. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8221*g = 3*d - 8224*g - 24, 3*g - 11 = -2*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l + 9. Let i(b) be the first derivative of -b**2\/2 - 4*b - 3649. Determine -7*i(t) - 3*w(t).\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 63*b - 64*b - 13. Let m(h) = h**3 + 13*h**2 - 24. Determine m(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34208200 divided by -52628.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 2486 + 370 = 0. Find the common denominator of (-1)\/(-4) + 2961\/p and 41\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.115864mg in grams?\nAnswer: 0.003115864","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Express -2*c - 1362*c**2 + 1369*c**2 + 2*c in the form y*c**2 + r + b*c and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 54, 2, -72, -6, -1 in increasing order.\nAnswer: -72, -6, -1, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + 44 - 34 - 5*k - 23 + 11*k**2. Let f be (-12 + 1)\/(-1) + -1. Is x(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19 + 36. Suppose 0 = 27*j - 26*j - k. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of 1\/2*m**2 - 7*m + 7. What is a(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of l**3 + l**2\/2 + l - 1. What is the remainder when 0*(-5)\/(-15) - -12 is divided by c(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - 11. Let d = p + 11. Which is bigger: -4\/13 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 + s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -38102.40974 rounded to 0 dps?\nAnswer: -38102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = 0, a - 3*y = -398 + 396 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -139*i + 141*i + 2, 1051*i - 1054*i = -3*m + 33 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/((-12)\/(-9)) + -1. Let w = s + 7. Let y be (-8)\/(-1 - -3)*-1. Solve w*k = -5*o - 2*k + 25, 0 = -y*o + 5*k + 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 - 10.46. Let j = -0.14 + b. What is the biggest value in 0.06, j, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -124727343.000057 - -124727236. Let o = -26 - -133. Let b = o + l. What is b rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 281353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 374 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 6545996?\nAnswer: -6545991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 75*k**5 - 325944*k**4 - 26920101*k**3 - 2151522*k**2 = 0?\nAnswer: -81, -2\/25, 0, 4427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 11*h**3 - 10*h**2 - 5*h + 12. Let k(r) = -5*r**3 + 5*r**2 + 3*r - 7. Give 3*a(f) + 5*k(f).\nAnswer: 8*f**3 - 5*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of d*f*q**2 + d*q**2 + 8597*d + f*q**2 + 5787*f*q + 18*f + 4*q**2 wrt f?\nAnswer: d*q**2 + q**2 + 5787*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 7*o**2. Let f(q) = 1597*q. Determine f(h(b)).\nAnswer: 11179*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1283*m*o**2 - m*o*y**2 - 55117*m*q*y**2 + 2*o**2*q + 2*o**2*y - 16*y**2 with respect to q.\nAnswer: -55117*m*y**2 + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.4057165 - -0.0337135. Let i = 3.44 - b. What is i rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(68) + 4)*4)**2.\nAnswer: -6720 - 1280*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18873 and 81084.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t. Let x be c(-1). Let d be ((-2)\/x)\/((-8)\/12). Let j = 3 - d. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14371599?\nAnswer: 3, 11, 435503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in 2315, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 587 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 289*v**2 - 31*v + 111. Let d(y) = -307*y**2 + 31*y - 112. Let h(r) = -16*d(r) - 17*n(r). Calculate h(28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 34 + 55 + 1 + 30*n**2 - 14 - 2*n**3 to the form y + k*n + x*n**2 + j*n**3 and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, y: 12, q: 2, b: 1, j: 3}. Give prob of picking 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 24*k + 51*k + 74*k in the form z + a*k and give a.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 54 + 6. Suppose -z + 7*m - 10*m + 24 = 0, -5*m = z - 22. What is the smallest common multiple of k and z?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 31 = 3*m, 0 = l + m + 2*m + 1. Solve -5*w = 3*j - 4*w - 5, -3*w = -l*j + 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 90\/(-70)*14\/(-3). Let m(s) = -7*s**2 + 7*s + 4. Let o(h) = -20*h**2 + 21*h + 11. Let b(i) = -17*m(i) + 6*o(i). Determine b(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 327*n + 298. Determine p(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/(-3))\/((-1)\/21). Suppose h*u = 216 + 29. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 = 2*z + 19 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 13) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 + 2)*(-3*d**2 + 3*d**2 + 2*d**2)*(1 - 19 - 17) to the form r + s*d + b*d**2 and give b.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 135, 264, 389, 504, 603, 680?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 210333102 (base 4) to base 2.\nAnswer: 100100111111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 + 7 = -5*q. Suppose -7*y + 40 + 51 = 0. Solve 5*h - q*r = r - 15, -h - 3*r + y = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*j**2 - 11 - 17 + 90*j**2 - 5*j**2.\nAnswer: 124*j**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y**3 + 2*y**2 - y - 9. Let c(g) = -3*g**3 + 17 - 5*g**2 + 6*g + 0*g**2 - 5*g. Let m(z) = -3*c(z) - 5*s(z). Suppose 3*h - 10 = 5. What is m(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*n = -3*q - 59*n - 65*n - 13, 0*n + 2*n = 892*q + 2684 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k - 10. Determine w(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence goo when three letters picked without replacement from ppogogopo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**1*q**(-1\/3))\/(q**(-2)\/q*q*q**(-4\/7)) assuming q is positive.\nAnswer: q**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -13778, -15753, -19040, -23639, -29550, -36773?\n\"Answer: -656*z**2 - 7*z - 13115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144345*m**2 - 36058*m**2 - 36059*m**2 - 36061*m**2 - 36163*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -182*f - 179*f - 113*f - 1 + (-2 - 2 + 6)*(14*f + 15*f - 41*f) as b + c*f and give c.\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -522\/67 - -28801\/1005. Let c = b + -91\/5. Suppose 8\/3*t**5 + 0 + 2\/3*t**2 + 0*t - c*t**3 - 2\/3*t**4 = 0. What is t?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/6*(-2)\/((-50)\/675)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 + 9*u**2 - 7*u - 5. Let a be v(8). Let l be a + ((-6)\/(-3) - 0). Let q = 3 - 5. Put q, l, -3 in decreasing order.\nAnswer: l, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**25*f))**22*f*f**12*f\/(f**(-21)*f) assuming f is positive.\nAnswer: f**(-516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 924 = v + 2*v, 4*v - 5*g - 1250 = 0. Let y = -75 + v. What are the prime factors of y?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 2480 = -70*l - 9*l for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 - 1)*(-1 + 3 + 1)*(4 + 16 - 3)*(-5*q**3 + 4*q**3 - 2*q**3).\nAnswer: 765*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {s: 2, b: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, 15, 32, 51, 72, 95?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1483*t - 4193 wrt t.\nAnswer: 1483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -23493409*i**2\/4 + 48470*i - 100 = 0. Calculate i.\nAnswer: 20\/4847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -25866555 divided by 1724437?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 6101 = 5991. Which is the fifth biggest value?  (a) 3\/4  (b) -2  (c) 1\/2  (d) -25  (e) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 5*y = 5, 4*y = -2*r + 11 + 1. Let c(b) = 3*b + 5. Suppose -5*w - 12 = -w. Let d(f) = -2*f - 4. Give r*d(j) + w*c(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 + -50646272.\nAnswer: -50646271.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -2*s + 8. Let y = -9 + 16. What is the second derivative of -49*h - h**2 + y*h**s + 45*h wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 247*f + 249*f + 247*f - 993*f + 249*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*x**4 - 4*x**3 + 24*x**2 - 29*x**2 + x**3 as k*x**2 + v*x**3 + p + j*x**4 + n*x and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 300203010 + 2?\nAnswer: 300203012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)*2*4)**2 + (sqrt(117)*-2 + 3 + sqrt(117))**2.\nAnswer: -18*sqrt(13) + 7614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 16383 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4782\/35 + 885\/7. Let d = j - -14. Calculate the common denominator of -27\/11 and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-60)*55\/66\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/12, 13.3, -29, -1, 3 in ascending order.\nAnswer: -29, -1, -1\/12, 3, 13.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z - 17057 = 30042. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1076188565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 16718552 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 30188607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16712841*m**3 + 6*m**2 - 4154173 wrt m.\nAnswer: 100277046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 31359497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by -25178?\nAnswer: -11\/25178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = 21*n - 17*n + 4 + 80, -5*u = -5*n - 75 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.23 + -6.19. Which is smaller: x or 387?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2. Let n(a) = 10*a**2 - 4*a. What is q(n(x))?\nAnswer: -100*x**4 + 80*x**3 - 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*m + 760*m**3 - 239*m**3 - 264*m**3 - 254*m**3.\nAnswer: 3*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.0326  (b) -21710  (c) -1  (d) 1\/12  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*j - 25 - 32 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3210 + 1214?\nAnswer: 4424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8659691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of 7*x**6\/24 + x**5\/20 - x**4\/24 - x**3\/2 - x**2 + 64*x + 11. What is f(-1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, v: 7, x: 5, f: 6}. Give prob of sequence xx.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -274920 <= -274920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13454 and 998851?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-30)\/(-16))\/((-6)\/(-8)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 6*d**2 + 2. Let o be i(-6). Let p be 1 + o\/((-60)\/27). Put -1, 1\/7, p in decreasing order.\nAnswer: 1\/7, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -3*o**3 + 31*o**2 + 9*o + 73. Is d(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41012777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 - 50*a + 8. Let m be y(7). Suppose 3*o = -l - m, -3*o - 85 = -5*l - 72. Factor 26\/3*v - 8\/3 - 2*v**l.\nAnswer: -2*(v - 4)*(3*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 279 = 264 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 divided by 305?\nAnswer: 46\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/21*10248\/147132.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxxddddxx?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 4*z + 84 = 0. Suppose -4*j = 166 + z. Let w be j\/(-20) + -2 - 1. Put 4, w, 1 in decreasing order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76)*2 + 1)*-4*-5 - (2*(-1 + sqrt(76) - sqrt(76)) - (3*sqrt(76) + sqrt(76))*-4))**2.\nAnswer: 2112*sqrt(19) + 44260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-5)*(245 + -5). Let w = x - -19. Let z = -84 + w. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1360 and 57392?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000161238 to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2398777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) 0.3  (c) -0.18  (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lull when four letters picked without replacement from {y: 5, l: 4, u: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**2. Let a(p) = p - 6. Calculate a(l(n)).\nAnswer: 2*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1644)\/411)\/((-1)\/(5\/(-2))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5149 or -12?\nAnswer: -5149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.5, -1\/50, -0.039, -1, 0.4, -0.01?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/((-4)\/(-2)*1). Is 2\/17 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44400*-0.2.\nAnswer: -8880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(136) + sqrt(34) + sqrt(34) + (-1*sqrt(238))\/sqrt(7))\/(-6*(sqrt(2) + (1*sqrt(18) - sqrt(18))\/sqrt(9) + sqrt(2)))*-1.\nAnswer: -5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2802 - -3426. What is the remainder when f is divided by 68?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 15*j**2 + 5*j + 77. Let w be p(-15). Which is greater: w or -14.9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**2\/11 + 68*f\/11 + 144\/11 = 0. Calculate f.\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33 and 5577?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3111654, 3111625, 3111600, 3111579, 3111562?\nAnswer: 3111549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of l**2\/2 - 5. Let r be z(4). Suppose 4*i - r*h - 76 = 0, -3*i + 52 = 2*h + 15. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 537 divided by -151\nAnswer: -537\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the third derivative of 5*m**4\/24 + m**3\/6 + m**2. List the prime factors of j(5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13 - 6*v + 13)*(v - 2*v + 0*v) + v**2 - 17 + 16 + 0*v**2 to z + s*v**2 + r*v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 5*n + 0 - 1 - 2 + n**2. Let b be z(-6). Is (7\/2)\/(b\/6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15.4 - 27. Let j = s - -11.2. What is the nearest to 35 in 5, -0.1, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5350360 divided by 20\nAnswer: -267518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 4*q + 22, q - 10 = k - 4*q. Let l(f) = 52*f + 317. Let v be l(-6). Solve 4*g - 26 + 2 = 3*u, 5*u + v = -k*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2148115897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-36)*m\/(m*m\/(m\/(m\/(m\/(m**(12\/7)\/m))))*m)*m**12*m*m\/m**(-40))**10 assuming m is positive.\nAnswer: m**(6250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.216 - -0.116. Round s to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -415508454 + 415508454 + 6534*c.\nAnswer: 6534*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + y + 36. Suppose 2*o = 4*o - y. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 619 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*g + 24 = -6*g. Suppose d + g*n + 12 = 0, 5*n + 12 = 3*d + 4. Sort -1, -6, d in descending order.\nAnswer: -1, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2918 to the power of 1\/7, 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 -101\/45969462 and -48\/143.\nAnswer: 597603006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d, 1 j, and 1 c when four letters picked without replacement from xcdxpcjd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 36830881 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of y**5\/30 + y**4\/6 - y**3\/6 - 2*y**2. Let b(a) = a**2 + 6*a - 10. Let q be b(-7). Give u(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*c + 24554 - 24634 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3734465, 3734464, 3734463, 3734462?\nAnswer: 3734461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or -125?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.28 + 89.18. Let n = -89 + x. Let t = 3 + -2.5. What is the closest to n in -0.5, t, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.027911577 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 3 - 7. Suppose -2*m + 4 = y. Let p(c) = -c**3 - 3*c**2 + 6*c + 3. Let u(w) = -w**3 - 3*w**2 + 5*w + 2. Let h(j) = 4*p(j) - 5*u(j). What is h(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 1)*(-l - 2*l + l)*(-28 - 4 - 18)*(46 - 133 + 36)*(-16 + 5 + 3).\nAnswer: 40800*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17163814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 - -101\/6. Let c = -2\/3 - j. Are c and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 51243707 divided by -3\nAnswer: -51243707\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*b - 412 = -331 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -118, -161, -204?\n\"Answer: -43*u - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(2\/7))**(2\/65)\/(u**(1\/3))**(-13))\/((u**0\/(u*u**(-2\/9)))\/(u\/(u*u**(-2\/7))*u)**(-15)) assuming u is positive.\nAnswer: u**(-8287\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 654*u - 390*u**4 - 654*u + 925 + 1280*u**4 with respect to u.\nAnswer: 3560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-40)\/1820)\/(1\/(-7))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 14) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -50 - -55. Solve v*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 12) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-14)\/(-14) - (-1 - 4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -51358*n**2 - 584*n - 8?\nAnswer: -102716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -24 + 25 + (4\/18 - (-250)\/9). Calculate the highest common factor of i and 3451.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/20 and -87\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -14*w**2 - 47*w + 46. Give c(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9708.218 plus -829?\nAnswer: 8879.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 2*u + 16, 2*x = -4*u + 6*u. Solve -28 + 8 = -x*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - 34*n - 28. Let g be k(-33). Suppose 0 = -i + 5*x, g*i + 4*x = -x + 30. Solve -5*p - 5 = i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*u**2 - 2*u - 95 - 93 + 188 as y*u + k + h*u**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*v - 5*v + 10. Suppose -v*r + 9 = -0*r - j, -j + 40 = 5*r. What is the remainder when 19 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (175\/(-140))\/(-2*(-5)\/(-16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 29990647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.11106?  (a) 67  (b) -2\/7  (c) -0.135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 344553544 + -1?\nAnswer: 344553543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 96 - -45. Let q = 140.9 - o. Which is the second smallest value?  (a) q  (b) 39  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7031482165 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: Determine q, given that -2*q**2\/7 + 344*q\/7 - 680\/7 = 0.\nAnswer: 2, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22201 (base 3) to base 10.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 1024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -44*z - 11. Let m(k) = 88*k + 21. Let o(n) = 2*m(n) + 5*w(n). Is o(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -20466.3 and -43.\nAnswer: 880050.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (55749\/(-6) - 12\/3)*-6. Suppose -24*u = -21*u - t. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -668*r - 202*r + 9777 = -1533 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64920 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 133020 (base 4) to base 2\nAnswer: 11111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 48 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -41  (b) -8  (c) 3\/4  (d) 3  (e) -0.43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of 4*w**5\/15 + w**4\/8 + 2*w**3\/3 + 9*w**2. Is s(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14744 (base 11) in base 10?\nAnswer: -20860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36580 and 55047.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 6*c**2 - 4*c + 4. Let o be y(2). Solve -2*i + 7*i - o = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in sixty-seven fifths of a meter?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, y: 4, o: 6, x: 1}. What is prob of picking 2 n, 1 y, and 1 x?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 0.447.\nAnswer: -0.0894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (-187)\/(-33) - (-1)\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -9*a**5\/2 - 471*a**4 - 8696*a**3 - 5641*a**2 - 1863*a\/2 = 0. Calculate a.\nAnswer: -81, -23, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c**4 + 3*c**4 - c**4)*(137*c - 210*c - 1912*c).\nAnswer: 1985*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9.8 * -5.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from jtjztjjtojvjttttj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -39.2469 to zero dps.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/((-2)\/2) - (0 + -2 + -5). Solve -v + o*i - 13 = 0, -3*v + 2*i = 8 - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13\/154 or -1?\nAnswer: 13\/154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r. Let n(b) be the second derivative of b**4\/4 + 2*b**2 - 7*b. Let a(k) be the first derivative of n(k). What is a(u(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3*x - 155, 5*x + 7*i = 2*i - 245. Let j = x + 85. Suppose 0 = -3*p - j + 137. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -4*p**3\/3 + 12. Let k(s) = 2*s**2 + 0*s + 0*s. What is x(k(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 + -14. Suppose 3*x - 10 = -h*x. Suppose b + 107400 = -x*b. Round b to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 0 = 2*m + 16, -n = 4*m + 18. Let z be 5\/n*(4 + -8). Let u = 3 - -8. Is z equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1758061*g**3 - 2*g**2 - 21006261*g?\nAnswer: 10548366*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7380157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 4*f + 9. Calculate g(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6762 = 361*f - 362*f. Calculate the least common multiple of 24 and f.\nAnswer: 27048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i**3\/3 - 159216*i**2 + 318431*i - 477646\/3 = 0. Calculate i.\nAnswer: 1, 477646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/69 and 47\/215502?\nAnswer: 4956546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-4))\/(1\/(-4)). Let n be ((-2)\/(a - 0))\/2. What is the units digit of n*2\/1 - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 + -44. Let l = z - -20. Let b = -1.1 - l. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -5*s**2. Let q(i) be the third derivative of 0*i**3 + 0 - 15*i**2 + 1\/12*i**4 + 0*i. Calculate j(q(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 2645214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 6 = -2*t, 20 = -2*n - 2*t. Let v(q) = -2*q - 10. What is the units digit of v(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3.786106l?\nAnswer: 3786.106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - -1. Let i = v + 1. Let n = -1222\/7 + 175. Which is the second biggest value?  (a) n  (b) i  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6759, -13507, -20241, -26955, -33643, -40299, -46917?\nAnswer: -53491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o + 18 - 2 - 18 + 2*o + o**2. Let j(z) = 6*z**2 - 13*z - 137. Let n(f) = 2*a(f) - j(f). Differentiate n(k) with respect to k.\nAnswer: -8*k + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 - 4*f - 10. Give q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 237 = 4*p, 4 = -4*p - 0*p. Let y = c + 52. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 180 and 28?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v - 233 + 483 - 225*v**2 - 236.\nAnswer: -225*v**2 - 2*v + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3*sqrt(12) - (-5 + (sqrt(3) + sqrt(48))**2)) + 0 + 4.\nAnswer: -36*sqrt(3) + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 263*n. Let u(y) = y**2. What is o(u(t))?\nAnswer: 263*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + 1*15 + (-12)\/(-4). Let r be 2*m*(-2 + 1905\/12). Calculate the common denominator of (-2)\/(-13) - r\/(-8866) and 19\/12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**3 + 0*s + s**3 - 13*s)*(-3*s + 6*s + 2*s)*(-3 - s + 3).\nAnswer: -10*s**5 + 65*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 115*r**2 - 15*r - 10. Give k(3).\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3084399.\nAnswer: 3, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 + k**2 + k - 1. Let h(x) = -2*x**3 - 13*x**2 - 6*x - 8. Let z(r) = h(r) + 4*t(r). Let a be z(5). Solve 10 = 2*i + a*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 + 5*z**2 - 5*z + 17. Suppose 12*g = 443 - 371. Let q(b) = -b**3 + 6*b**2 - 6*b + 18. Calculate g*t(i) - 5*q(i).\nAnswer: -i**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 8*l + 1)*(-181*l**2 + 53*l**2 + 44*l**2).\nAnswer: 672*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/(110\/(-15)))\/(-12)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of -3*w**7\/14 + 11*w**6\/10 - 21*w**5\/20 - 11*w**4\/4 + 5*w**3 - 368*w. Solve o(m) = 0 for m.\nAnswer: -1, 0, 1, 5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 979562\/91 - 10765. Calculate the common denominator of s and 71\/168.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is ((-4831)\/(-8))\/(14\/112) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00005676 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 103 + -137. Let q = f - -34.000003. What is q rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 71 - 64 - (-3 - (-11 + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 694*q - 3110*q - 1449*q.\nAnswer: -3865*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*c - 352 = -63*c - 112 + 340 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine thirds of a century in months?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + 13302?\nAnswer: 13301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/23 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -2*i - 36. Suppose -2*w - 21 = -5*g, -4*w - i = g - 5*g. Solve -o + 2*o = g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2947 - 1.\nAnswer: -2948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -47, 0.3, -1\/2, -4, -0.05?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 4*f, -18*n + 17*n + 35 = 4*f. Solve 0 = -4*s - 8, n = -7*h - 2*s + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46086640.\nAnswer: 2, 5, 97, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -60, -111, -174, -237?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 92aa20 (base 11) in base 13?\nAnswer: 4038cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, u: 1, x: 3, q: 2, t: 2, n: 2}. What is prob of picking 1 q and 1 j?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(2 + -9 + 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(225) + sqrt(9)) + -6*sqrt(9)*1)\/(-4*((sqrt(3)*1 - sqrt(3))*5 + sqrt(3) + 4*sqrt(12)\/sqrt(4) + sqrt(3))).\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2894342.19 rounded to the nearest 10000?\nAnswer: -2890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144285003 = -37*y - 13550350. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (0 + 5 + -11)) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -7. Let h(o) = 15*o**3 + 3*o - 2. What is the smallest common multiple of k and h(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -45 + 48. Suppose -4*p = p - 3*d - 41, -y*d - 34 = -4*p. What is the tens digit of 18036\/378 - (-1)\/p*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - (-6 - -9) - 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 4*o = -0*w - 2152, -2*o = 4. Let c = w + -355. Calculate the remainder when 303 is divided by c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + 5*p + 6 = 0, -2*b - 12 = -b - 4*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 170593 * -0.4.\nAnswer: -68237.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*u + 0*u + 5*u + (-3 + 2 + 0)*(0 + 0 - u) + 7*u - 3*u - 3*u + ((-3*u + 2*u + 0*u)*(1 + 5 + 0) + 2*u - 2 + 2)*(-3 - 2 + 3).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 16 - (-25 + (80 - 52))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5519 is divided by 322?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 + 13*n - 8. Give c(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express p - 5*p**4 + 11*p**4 - 12*p**3 - 3*p + 10*p**3 - 2*p**2 as i*p**2 + m*p**3 + t*p + b + k*p**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, e: 2, h: 2}. Give prob of picking 1 k and 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 58 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2 = -1. Let m = i + 4. Solve -d - 1 = 4*b + 16, -m*d + 5*b + 17 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2354841 and 0.184?\nAnswer: -433290.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17478158 or -17478166?\nAnswer: -17478158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -37800, -75783, -113766?\n\"Answer: -37983*m + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5310, -5253, -5198, -5145, -5094?\nAnswer: -5045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 2*t + 508, -1270 = -7*o + 2*o - 4*t. Let n = o - 98. Calculate the highest common factor of 24 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2977441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10905970.\nAnswer: 2, 5, 1090597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1300955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3611516221.\nAnswer: 3611516221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 99689640307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-174)\/(-116)*(-6)\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2. Let k(f) = f**2 + 1416*f + 20. What is k(g(u))?\nAnswer: u**4 + 1416*u**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (384\/(-10))\/((-1)\/5). Suppose -3*n - 3*q + y = 0, 308 + 39 = 5*n - 4*q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/(-27) + (-590)\/45 + 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 - t - 1. Let x(i) = 10 - 5*i**2 - 2 - 2 + 6*i. Calculate -6*o(s) - x(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 680714, 2722831, 6126366, 10891325, 17017714, 24505539, 33354806?\n\"Answer: b**3 + 680703*b**2 + b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -28573 - 0?\nAnswer: -28573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*n = -2*h - 536, 0 = 3*h - 171*n + 143*n - 190 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 7 = -3*i, i - 4*z = 14 + 1. Let n = -153 + 141. Let r be (-4)\/i - (n - -14). Solve 1 + r = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23980*a - 11453*a - 12634*a + 2.\nAnswer: -107*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s**2 - s - 2. Let w be g(2). Solve -16 = -0*a - w*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*f, 4*t + 0*f - 2266 = -2*f. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9308 + -909. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14\/9 - -4\/3. What is the nearest to 2 in -3\/7, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(70)\/(sqrt(40)\/sqrt(4)) - sqrt(84)\/sqrt(48).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2 + c - c**3 + 1 - 4 + c**2. Let f(b) = -7*b**3 + 3*b**2 + 5*b - 3. Let n(i) = -f(i) + 4*m(i). Let y = -11 - -10. Determine n(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 72, 15589, 3, -3 in descending order.\nAnswer: 15589, 72, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 2\/2139, 0.4, 1, -225, -5?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*h - h + 1 + 3*h + (-2*h + 8*h - 2*h)*(-3 + 3 - 2) to s*h + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 517\/94*(-2)\/22.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -101935, -100777, -99619, -98461, -97303?\nAnswer: -96145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 12112226.927 to the nearest ten thousand.\nAnswer: 12110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6396 - 6395.977. What is the biggest value in x, -0.5, -12\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - t - 175 = 0. Is (t - -466)*(1 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 3*z**2 - 318. Let p(a) = a**2. Give p(j(o)).\nAnswer: 9*o**4 - 1908*o**2 + 101124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ee + 40?\nAnswer: -ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/49 and 36\/5005.\nAnswer: 35035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 67.61.\nAnswer: -202.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -127 + 132. Solve 0*i + 3*i = -z*t + 37, 4*t - 36 = -4*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**14*d**8\/d assuming d is positive.\nAnswer: d**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10564 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 17*t**2 + 8*t + 4. Let y(w) = -16*w**2 - 8*w - 3. Let z(l) = -4*k(l) - 5*y(l). Calculate the remainder when 55 is divided by z(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2397 divided by -17.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -756*w + 28538 = 7712 - 19998 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17276 + 3*g - 17276 - 337*g**3 + 338*g**3 - 3*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18968 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from uuouoou?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/40 + (28\/10 - 3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 61\/14 - 20\/7. Let t(f) be the first derivative of -j*f**2 + 0*f**5 + 0*f**3 + 0*f**4 - 1\/6*f**6 + 0*f + 4. Find the second derivative of t(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(2\/(-2)) + -5 + (-39955)\/(-7990). Is -1 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 5*b + 6, 5*r + 3*b - 32 = 21. Suppose 4*g - m + r + 0 = 0, 5*m = 5*g + 5. What is the units digit of (-88)\/g - (-4)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2122211 + -2210?\nAnswer: 2120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 741*v. Let h(c) = -2497*c. Determine b(h(x)).\nAnswer: -1850277*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) + -2 + 0)**2 + (sqrt(75) - (sqrt(75) - (sqrt(75)*-1 + 0 - sqrt(75)))**2) + -1.\nAnswer: -480 - 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**3 - 5. Let t be (10\/3)\/((-2)\/(-3)). Suppose 0 = 2*g - 10, 0*s + 4*s - t*g + 29 = 0. Let l(z) = z**3 - 1. What is s*j(q) + 4*l(q)?\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-7)\/42 + 1\/6. Suppose -2*t + 4*c + 60 = w, 1 = -t - 4*c + 37. What is the first derivative of -t*d**4 + 33*d**4 + 4*d + 2 - 4*d wrt d?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102047045 is divided by 531495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -2*y**4\/15 + 8*y**3\/15 + 2*y**2\/15 - 8*y\/15 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(95)*2 - sqrt(95) - sqrt(95)) + sqrt(95))*2 + sqrt(95)*-2*-5)\/(sqrt(1280)*-1 - sqrt(1280)).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 682541861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2130401144 (base 5) to base 13\nAnswer: -c31318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*t + t + 6*t + 2*t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -26*a**3 + 4*a**2 - 7*a + 5. Let h(s) = -26*s**3 + 3*s**2 - 6*s + 4. Determine 5*h(y) - 4*n(y).\nAnswer: -26*y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*q**5\/8 - 69*q**3\/8 - 99*q**2\/4 - 51*q\/2 - 9 = 0. What is q?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-2)*1*(-174)\/(-58) - -9. Let d(t) = -44*t**2 + 6. Let j(u) = -43*u**2 + 7. Determine f*j(p) - 7*d(p).\nAnswer: 50*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7710530*z**3 + 13200321.\nAnswer: -23131590*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Put -7, 2, -4, 90 in increasing order.\nAnswer: -7, -4, 2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 1\/2, 3, -347?\nAnswer: -347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-15)\/(-6) - 2)*4. Does 2 divide ((-9)\/h)\/((-1)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 19*n**3 + 27*n**2 + 49*n - 5. Let b(a) = -7*a**3 - 9*a**2 - 17*a + 2. Let o(r) = 11*b(r) + 4*v(r). Give o(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 7 - 2 + 4 - 4 + 2 + 5 - 5 - 4 + 4 + 2 + 1 - 3 + 0 + (3 + 1 - 3)*(-1 + 0 + 3) + 2 + 0 - 3 + 0 + 1 + 1)*(-1 - 4*h + 1).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -48*w - 53. Let y(f) = 24*f + 25. Calculate -5*y(b) - 2*z(b).\nAnswer: -24*b - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35715.65ml to litres.\nAnswer: 35.71565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 71 - 78 = -3*a. Let y(j) = 102*j - 102. Determine y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of -c**2\/2 + 1. Let u(s) = s**2 - 5*s. Let i(k) = -3*k - 4 + 4. Let y(n) = 5*i(n) - 3*u(n). Determine f(y(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 = 3*o - d, -4*o - 3*d + 76 = -2*o. Suppose o = 4*q + 6. Let b(g) = 14*g - q*g - 7*g. Let w(x) = -3*x**2 - 4. What is b(w(c))?\nAnswer: 3*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.67 - -0.57. Let j = -11.15 - -11. Let s = j + 0.15. Which is the nearest to s?  (a) u  (b) 10\/3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - 2) + (104 - 89) + (0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 117255617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 3*z + 1. Let c(u) = -2*u**2 - 23*u - 6. Let w(i) = c(i) + 5*y(i). What is w(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h**3 + 356*h**2 - 10540*h + 103788 = 0. Calculate h.\nAnswer: 27, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -1 + 2 + 3*o - 2. List the prime factors of r(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 4\/2609, 8, 5\/4, 5, -3, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1407549 is divided by 1407526.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143969 is divided by 7193.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -278296*n = -278365*n - 2208 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 + -10. What is the common denominator of 63\/16 and 190\/(-16) - u\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 964785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18345*p**4 - 18350*p**3 - 73375*p**2 + 73400*p - 20 = 0. Calculate p.\nAnswer: -2, 1\/3669, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*o - 3*o + o**2 + 5*o + (-3*o + 3*o + 2*o)*(-2 + o + 2) - 6*o**2 + 4*o**2 + 36*o**2 in the form k + u*o + m*o**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.21  (b) -2  (c) 0.3  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 200.46 and 1.04008.\nAnswer: 201.50008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 159, 320, 481, 642, 803?\n\"Answer: 161*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - -1)\/(15\/760*2). Suppose -4*t = -4*k + 4 - j, 2*t - 33 = 3*k. What is the greatest common factor of 14 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 8:54 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, q: 4, k: 3, h: 2, a: 1}. Give prob of sequence ha.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 66 - ((-20)\/6)\/((-24)\/(-36)). Suppose -l = 2*h - 18, 0 = -4*l + 5*h + 27 + t. Calculate the highest common factor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1696 - 829. Suppose 9*k - w = -120. Calculate the remainder when k is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2510, -10021, -22544, -40079?\nAnswer: -62626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.034, 1\/10, 0.3, 2082?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*v**3*z**3 - 10*v**3*z - 3*v**3 - 9*v**2*z**4 + 4*v*z**2 wrt z.\nAnswer: 24*v**3 - 216*v**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57399 is divided by 820.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -105714 - -0.4.\nAnswer: -105713.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 394\/133 - 20\/7. Which is the nearest to 2?  (a) 1  (b) r  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w + 3*w**2 + 4*w + w**2 + w**2 - w**2 + w**2 + 2*w**2 - 2*w**2 + (-4 + 0 + 2)*(0 + 0 - 2*w**2) + 5*w**2 - 4*w**2 + 0*w**2 + w**2 - w**2 + 2*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-7) - (-46)\/14. Let x(t) = -t**3 + t**2 + 2*t + 2. Let b be x(0). Differentiate -i**3 + 2*i**3 - b + 3*i**h with respect to i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 - 3*d - 10. Let l be w(5). Let a = 1613 - 1611. Solve -6 = 2*q, l = 3*h + a*q - 5*q - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 612 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17595.1 - -17596. What is the nearest to -4 in t, -0.03, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, z: 2, n: 5}. What is prob of picking 3 w and 1 n?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 137436179\/378 - 363588. Find the common denominator of b and 71\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7 + 2\/7*c**2 + 4\/7*c.\nAnswer: 2*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 8728*k + 8729*k + 2 - 17458*k. Let g(q) = -3 - 1 + 3. What is -5*g(a) - 2*x(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**4 + 64*o**3 + 12*o**2 - 200*o + 128.\nAnswer: -4*(o - 16)*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 553628 is divided by 182?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2288076*p**2 - 3190892 with respect to p.\nAnswer: 4576152*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118811810*q - 81*q**2 - 237623628*q + 118811818*q.\nAnswer: -81*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -151*v - 33*v - 240*v + 848 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from iiiiiiiiiiwiwiiiiiiw.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11211 or -0.0918?\nAnswer: 11211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4594 is divided by 327.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 144 + -144. Suppose 22*n - 3824 - 11356 = b. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {e: 2, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from knidndadinnfddkink. What is prob of picking 1 f and 2 i?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2441410 (base 5) to base 2\nAnswer: 1011010110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -348 divided by -174?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -2\/27, -0.4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10215440 is divided by 470?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 61 - 43. Let j = 69 - p. What is the highest common factor of j and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xuuw when four letters picked without replacement from xuxbuuwuw?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 2. Suppose 2*i = -n*p + 14, 4*i - 3 = 7*i - 3*p. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 172 is divided by 74.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.5, -761, -0.3, -12, 4 in ascending order.\nAnswer: -761, -12, -5, -0.3, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1018\/5 or 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -4560 not equal to -7003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 + (-148)\/24)\/1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4954918634 - 2398105189. Let a = 2556813413.99999758 - z. Let g = -31 - a. What is g rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-6) - 27\/(-6). Let z = 7636 + -7632. What is the closest to -1 in z, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 2562, -0.01, 2\/15, -7, 2\/3?\nAnswer: 2562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 4*w - 1 + 13 - 3 - 9. Let y(o) = 13*o + 2. Determine f(y(t)).\nAnswer: 52*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 3 + 0 - 4 + 2. Let v(k) = k**2 - k. Determine -2*c(y) - v(y).\nAnswer: -y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 12*q**3 + 1. Let j be m(1). Suppose -42 = -5*o + j. Solve -b - 4*i = -7*i + o, -2*b = 4*i + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, -8, -4, 12, 46?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 82676606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oolulq. What is prob of sequence oou?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -4 + 4 + p**2. Let u(j) = -6*j**2 + 2*j**2 - 3*j**2. Give u(t(z)).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + 2*(-2)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 0) + 0 + -451 + 421.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*x + 68 = -24*x. Calculate the remainder when x is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((47689\/(-4635))\/463)\/(((-35)\/6)\/(-5))\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -268 + 187 + 65 + (-1 - 7) + -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 - 18. Let d(x) = -12970*x**3 + 4*x**2 + 5*x - 3. Let u be d(a). Let c be -1 + (1 - 1) + u. Round c to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 287865552 a multiple of 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.19?  (a) 2\/3  (b) 0  (c) -2\/5  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/5800 and 59\/480.\nAnswer: 69600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -135, -133, -143, -171, -223?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16194 + 19634. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -80 - -83. Let v(l) = -125*l + 745. Let k be v(6). Sort -4, 4, k, p.\nAnswer: k, -4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 7*n**3 + 4*n**2 + 2*n + 1. Let o(a) be the third derivative of a**6\/15 + a**5\/12 + a**4\/8 + a**3\/3 - 281*a**2. Determine 2*o(p) - 3*t(p).\nAnswer: -5*p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 3326600?\nAnswer: 3326605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z**3 - 4*z**3 + 0*z**3 + (-812*z + 19*z - 34*z)*(3*z - 3*z + 2*z**2).\nAnswer: -1658*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6\/25 of a day?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 - 2*s**2 + 1. Let n be p(1). Let g(t) = 4*t**2 + 5*t - 3. Let m be g(n). Solve -m*d + 2*d = -2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1 + -0.5. Let q be -1 + -5*(-8)\/(-8). Let f(u) = -u**3 - 2*u**2 + 25*u + 9. Let y be f(q). Which is the biggest value?  (a) x  (b) y  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/641 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17913*b + 7502 = 17921*b - 35896*b for b.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 3*f - 1. Suppose 55*z - 57*z + 8 = 0, z = 2*x - 10. Calculate the lowest common multiple of x and v(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -7. Suppose -2*y = h*y - 24. Is (4 - y) + 10 + 0 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4629 or 23142\/5?\nAnswer: 23142\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1011 and 403186463.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -25*t**2\/2 - 3341. Let b(z) = 53*z - 3. Calculate d(b(j)).\nAnswer: -1325*j + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -6 + 2 + (11 - 13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 3*f - 4*k, -2*f + 4*k - 15 = 5*k. Let l be f\/(-4)*(2 - (-12)\/(-10)). Suppose l*h + 0*h = 0. Solve -o + h*o = -4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 57649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 65168 and 1354.\nAnswer: 44118736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -205 (base 6) to base 12\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -25*y - 11*y**3 + 25*y + (3*y**2 - 4*y**2 + 0*y**2)*(-y + 4*y - 2*y).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + 2*sqrt(13))*-5 - ((sqrt(273)*2)\/sqrt(7))\/sqrt(3)) + 2.\nAnswer: -12*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*i**3*r**2 + 103*i**3 - 6*r**4 + 2 wrt r?\nAnswer: 12*i**3*r - 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 16 - (27 - -18) - (-5 - (11 - 9))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, -1, -4, 3, 14 in ascending order.\nAnswer: -32, -4, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -56692889\/6 or -9448815?\nAnswer: -56692889\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1361967294 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p - 13. Let f be z(14). Suppose 4*q = 5*q - 4. Suppose -2*x + 3*x = q. Calculate the highest common divisor of x and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1578417, -3156721, -4735025, -6313329?\nAnswer: -7891633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1193 is divided by ((-6)\/5)\/(162\/(-243) + (-7)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001106053882 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 290 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 996 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/((-6)\/(-8) - 1). Let v = k - 3. Suppose -4*o - v = -17. Solve 3 - 7 = o*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/5)\/((-4)\/(-240)*12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -r**3 - 563*r**2 - 105175*r - 6523125 = 0.\nAnswer: -213, -175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 71 = 27. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 5*b**2 + 3113*b + 15653. Determine q(-5).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 943684693.\nAnswer: 7, 857, 157307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/((-15)\/(-9)) + -6. Is -2 + 0 - d\/1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3318, -1, -4 in descending order.\nAnswer: 3318, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/9*3)\/(20\/110).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (2 - -1) + (2 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1324264)\/(-22) - ((-8)\/(-110))\/((-14)\/35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + 10. Suppose -b*d - d = -16. Suppose -5*v = -4*q - q + 10, -7 = -d*v + q. Solve 0 = -2*p + f + 9, 0 = 2*p + 3*p + v*f - 28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + 0)\/(2\/(-12)). Suppose 3*q = 9 - m. What is the closest to q in -1, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15)\/399 + (-18)\/171. Let x = -3.85 + -0.15. What is the closest to -2 in 3, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 13, 41, 83, 139?\n\"Answer: 7*y**2 + 7*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15579 in 0.4, -1\/6, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 3*g + 2736, -3*i + 4*g + 1359 = -300. Calculate the remainder when i is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (91\/273)\/(27\/36*2\/27). Put 31, v, 1\/3, 0.2, 1 in ascending order.\nAnswer: 0.2, 1\/3, 1, v, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 2*m = -16 - 19, -3*s - 3*m = 0. Factor -5*t**4 + 13*t**4 - 4*t**4 - 2*t**s.\nAnswer: -2*t**4*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*z + 6*z + 4 - 15*z + 4*z.\nAnswer: -19*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 81 + -86. Let o(u) = u**3 + 13*u**2 - 4*u - 4. Let y be o(a). What is the greatest common divisor of y and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 364174345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 11:11 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5375 = -14*t + 3109. Does 35 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -281, -228, -175?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65680489.\nAnswer: 7, 9382927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3037796*a**6*v - a**2*v - 3*a*v - 5*a - 64*v wrt a.\nAnswer: -364535520*a**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 - -10. Suppose z = 1 - 0. Let j be (0 + 2)*z\/(-6). What is the second smallest value in 2\/11, y, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 256, 224, 176, 112, 32, -64, -176?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 9)\/(-2) + -2. Let v(z) = 160*z**b - 2*z + 2*z. Let j be v(-1). Calculate the greatest common divisor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 2 - 0. Suppose -21*k + 24 = -17*k. Calculate the greatest common divisor of w and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((-2*sqrt(88) - sqrt(88) - sqrt(88) - sqrt(88))\/sqrt(8) + (sqrt(704) + 1)**2) - (-4 + (sqrt(396) - (1*sqrt(396))**2) - (1*sqrt(396) + 5))) + 4.\nAnswer: 44*sqrt(11) + 3229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1101325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 941403 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-4)*(-28)\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19 + 3*h**3 + 20 - 10*h**3 + (0*h**2 + 4*h**2 - 2*h**2)*(-2*h + 3*h + h).\nAnswer: -3*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -13. Let u be x\/(-4)*(-4 - -6). Suppose 4*p + 0*p + y - 483 = 0, -u*p + 359 = 4*y. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -15486c5 - 0?\nAnswer: -15486c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 4*d = -d + 10, h + 1 = -2*d. Suppose -q - 4*g = -h*g - 46, -4*q - 2*g = -154. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 - 18*x**2 - 19*x - 1. Determine d(-17).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-8)\/7)\/4 - 46\/(-14). Let h be (0 - (l + 1)) + 13. Let a(p) = -9*p - 3*p**2 + h*p. Let o(w) = -13*w**2. Give o(a(z)).\nAnswer: -117*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -3618860?\nAnswer: -3618859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of -3*v**2 + 0*v**5 - 61\/42*v**7 - 7\/12*v**4 + 0 + 0*v**6 + 0*v**3 + 71*v. Find the third derivative of n(x) wrt x.\nAnswer: -3660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*c**3 - 215357*c**2 + 215357*c**2 + 7*c**3 + 0*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 17\/((-1156)\/(-162))*(-8)\/6. Is g bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 267945, 268037, 268129, 268221, 268313, 268405?\n\"Answer: 92*w + 267853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21246722, 21246721, 21246720, 21246719?\nAnswer: 21246718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*k = 107*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -6549*m**2 - 32 - 6816*m**2 - 626 - 1318*m + 12703*m**2 - 2*m**3 = 0.\nAnswer: -329, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38170716?\nAnswer: 2, 3, 3180893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-61 + 165 + 2*q + 41 + 83)*(4*q - 2*q - 5*q).\nAnswer: -6*q**2 - 684*q","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is 1292 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p + 6. Let r be t(-6). What is the units digit of -6*(-2 - 16\/r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 (base 11) in base 13?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -280.043 - -280. Let j = r - -2.043. Which is the biggest value?  (a) 3  (b) j  (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 287.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**0*(d\/(d*d*d*d**5)*d)\/d*(d*d*d**0)\/(d*d*d\/(d**(-4)\/d)) assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*6\/(-80))\/((-66)\/165)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 16 = 0, -3*q + 39 = 5*x + 4. Let v = 2307 + -2307. Solve v = -q*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 3866*q - 564368. What is v(146)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*i**4 - 248*i**3 - 4304*i**2 - 9928*i + 190740 = 0. What is i?\nAnswer: -33, -17, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -19*x - 78. Is 25 a factor of j(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21\/13 + 20\/13. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0*(-5)\/(-10))\/(-1) - 9. Sort -5, -3, r, -1 in ascending order.\nAnswer: r, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 16*h**2 + 19*h + 16. Let z be q(-17). Let n(b) = -b**2 - 20*b - 22. What is the remainder when 95 is divided by n(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1 and 25664.\nAnswer: 25663.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148 is divided by 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qrrm when four letters picked without replacement from {q: 3, r: 2, m: 3, s: 2, h: 3}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (21*f + 105 - 105)*(3 - 6 + 4)*(23*f - 2*f - 37*f) in the form k*f + d + w*f**2 and give w.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -0*n - n. Suppose 4*v + n*a + 76 = 0, -33 = -5*v - 4*a - 137. Find the common denominator of (46\/5)\/(v\/18) and -121\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c2 (base 15) to base 2.\nAnswer: -10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaz when three letters picked without replacement from {z: 2, d: 4, a: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, n: 2, k: 2, h: 4}. What is prob of picking 2 z, 1 n, and 1 k?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*s = 3 - 36. Solve m = 3*g + 6, -g = -4*m + 2*g - s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 37794\/15 + (-2806)\/(-115) + -24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (q**2 + 0*q + 0*q)*(-5 + 0 + 1)*(170*q**2 + 29*q**2 + 89*q**2) in the form s*q**4 + c*q + w + x*q**3 + d*q**2 and give s.\nAnswer: -1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 502*o - 6388 = -234*o - 51*o + 11713 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2)\/((u**(-7)*u)\/u))**(-3\/5)\/((u\/u**4)\/(u**(10\/3)*u))**(30\/7) assuming u is positive.\nAnswer: u**(199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 0*p = 0, -5*h + 3200 = 4*p. Calculate the highest common factor of 480 and h.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h**5 + 302*h**4\/7 - 276*h**3 + 3224*h**2\/7 - 496*h\/7 - 1728\/7 = 0 for h.\nAnswer: -27, -4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2195, -4400, -6619, -8852, -11099, -13360?\nAnswer: -15635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 27\/6 + 3\/6. Suppose -5*l = -56*l - 240 - 66. Put l, c, 9 in decreasing order.\nAnswer: 9, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59601?\nAnswer: 3, 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 358318899?\nAnswer: 3, 39813211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(143) - (sqrt(143) - 2*sqrt(143) - sqrt(143))))\/sqrt(11).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/((-78)\/53813)*-13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 2*m + 39 = 0, -66 = -4*v - m + 83. Calculate the remainder when v is divided by (20\/(-30))\/((-4)\/78).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117 is divided by (65\/20)\/(12\/144) + 2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -187*f**3 - 42*f**2 + 50*f + 17. Is a(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30 + -31. Let z = 6 + -10. Which is the closest to -0.2?  (a) z  (b) t  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -122679?\nAnswer: 368037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) 2  (b) 0.2  (c) 0.3  (d) -3  (e) 118\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -10159\/260 < -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17688 divided by 5.\nAnswer: 17688\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 74 + -107. Let z(g) = -9*g**3 - g**2 + 2. Let q be z(2). Let a = x - q. Calculate the remainder when a is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -4.14. Let g = 0.04 - p. Put 1, g, 1\/8 in ascending order.\nAnswer: g, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -52478747825\/704 - -177864659\/64. Let c = x - -71750353. Let z = c - -14191. Find the common denominator of 23\/10 and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-15 - -9) - 4 - (15 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**(1\/6)\/a)*a**(5\/2))**(-35) assuming a is positive.\nAnswer: a**(-455\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 + 5*x - 8. Let b = 65 - 63. Let v(a) = -3 + 4 - a + a**3 + a**2 - b*a**2 - 8. Let f be v(0). Calculate n(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19020 = 1080*c - 129*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 + 8. What is the closest to j in 4, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 747003.5 nanograms to micrograms.\nAnswer: 747.0035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 62135.31604 - 1.31604. Let m = u - 62110.9994. Let h = -23 + m. What is h rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 579903 (base 10) to base 6.\nAnswer: 20232423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1122 + -1?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 392437920?\nAnswer: 2, 3, 5, 7, 116797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7236)\/22)\/(-27) + 2\/(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p**3\/9 - 3451406*p**2\/9 - 997064*p + 460184 = 0. What is p?\nAnswer: -345138, -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3*w - 2)*(0 - 3 - 2 + (-2 + 2 + 1)*(2 - 3 + 2) + (-3 + 5 + 0)*(0 - 5 + 3) + 2 + 5 - 5).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*r + 21*x - 31*x, x + 2*x = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 2*q - 928, 5*q = 4*q + 3*s + 449. Suppose q = 37*m - 541. What is the highest common factor of m and 567?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41 - -17. Let w = -14 - j. What is the tens digit of (-15)\/3*(-48)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1366, -1364, -1362?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292615633 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/((-60)\/(-9))*(1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23590321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of -17*o**6\/30 - 41*o**3\/6 + 24*o. Find the second derivative of t(p) wrt p.\nAnswer: -204*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 649, 1304, 1959, 2614, 3269?\nAnswer: 3924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -1*((-2)\/(-21) - 6360\/630).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177218342.\nAnswer: 2, 7, 263, 48131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttnbntntnnbttntknt. What is prob of sequence bbnt?\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/o**(-1\/13))\/o)\/o**(6\/7))**(-17)*(o**1\/o)**3\/(o**1\/(o\/(o\/(o\/(o*o\/((o*o**(-4\/5))\/o))))*o*o)) assuming o is positive.\nAnswer: o**(5671\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 41978954833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -556.737 + 557. Let l = 0.35 - g. Is l less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) + 0)**2 + -4)*-6.\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(22)\/sqrt(2))**2*-3 - sqrt(11))*-1 - (-3 + sqrt(1331)*-1 + sqrt(1331)).\nAnswer: sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - o. Suppose -1 - 5 = 2*y + g, -5*y = g + 21. Let m = -4 - y. Calculate the remainder when a(2) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 10:12 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(3\/5)*j**(2\/9)*j)\/(j\/(j*j**(14\/3)))**24 assuming j is positive.\nAnswer: j**(5122\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/(-343) - 4\/(-42)*(-22680)\/98.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 7 - 12*v)*((-1 - 3 + 0)*(2 + 4 - 5) + 2 + 2 - 6 - 4 + 0 + 5 + 5 - 3 - 3).\nAnswer: 72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2999904 grams to micrograms.\nAnswer: 299990.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26499.25cm in meters?\nAnswer: 264.9925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*c**3 - 2*c**2 + 0*c**2 + 2*c**2.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/9012 and -149\/828?\nAnswer: 621828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -918424 (base 10) to base 14\nAnswer: -19c9ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10707 + 10669. What is the nearest to -12 in 4, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-75)\/(-40) - 2) + (-118)\/(-560). Suppose 0*h = 2*p - 3*h - 6, p - 4*h = 8. Which is bigger: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -59, -257, -587, -1049, -1643, -2369, -3227?\n\"Answer: -66*k**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -14*r**2 + 191*r - 609. Determine x(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2393, -19276, -65093, -154310, -301393, -520808, -827021, -1234498?\n\"Answer: -2411*h**3 - h**2 - 3*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of -b**5\/20 + b**4\/3 + b**3\/2 + b**2. Let y be a(4). Let q(g) = -g. Is q(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, w: 4, k: 2, z: 1, c: 2, s: 2}. Give prob of sequence wuuz.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3477*i - 3477*i - i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -i**5\/330 - 15*i**4\/44 - 108*i**3\/11 + 13*i**2 + 19*i + 2. Factor m(t).\nAnswer: -2*(t + 9)*(t + 36)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -74896 + 74899. Let g = -11 + 15. Which is the nearest to 0.1?  (a) -2\/9  (b) o  (c) 1  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*i**4 + 0*i**2 - 15*i**4 - 4*i**2 wrt i?\nAnswer: -552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11405 (base 9) in base 5?\nAnswer: -220434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 4*o = -22232, -5*a - 21291 = o - 76907. What are the prime factors of a?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2707, -10833, -24375, -43333?\nAnswer: -67707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*k**3 + 343\/5*k + 34*k**2 + 172\/5.\nAnswer: -(k - 172)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + -25. Let n be h\/(-15) - (-1)\/3. Solve 0 = -5*s - n*w + 5, -4*w = -s + 4*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*w**3 + 127515*w**2 - 783967*w - 2 wrt w.\nAnswer: -60*w + 255030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-4)*((-2 - 2) + 3). Which is the closest to l?  (a) 1  (b) 3\/7  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*y - 8*y + 6*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 66, -9235, -5.\nAnswer: -9235, -5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u - 17*u = -112. Let y = u - -41. What is the smallest common multiple of 12 and ((-44)\/10)\/(3\/y)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of -a**4\/24 - a**3 + 2*a**2. Let v be t(-9). Suppose -2*o + 3 = -v. Solve 3 = o*w, 2*w + 0*w = -4*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 45962 and 134.\nAnswer: 45962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1250)\/(-40) + -10*6\/48. Solve -5*f + l = 2*z, -5*f + 26 - 1 = z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 2*t = 0, -2*g + 4*t + 6 = 0. Let x(f) = f**g - 3 - 2*f + 2 - 2*f**2 + f + f**3. What is x(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = l - 1. Let f be 1\/l*-2 - -2. Let g be 37500*-56*(-3 + f). Round g to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(4\/5)*x\/(x**(-3)\/x)*x**4*x**(-7\/4)*(x**(-1\/4))**(-4\/15)*((x**(-1\/5)*x)\/x)\/(((x**9*x)\/x*x)\/x) assuming x is positive.\nAnswer: x**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 1487*f**3 + f - 2. Let b be (-2)\/(5\/((-50)\/4)). Let d be 14\/(-8) - b\/20. Let p be n(d). Round p to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11.72 + -1.28. Sort s, -0.1, 2\/5, 4\/9 in decreasing order.\nAnswer: 4\/9, 2\/5, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2293 is divided by 163 + (24\/264 - 222\/22)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 662 - 168808\/255. What is the closest to 0 in 0.6, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.15 + 4.15. What is the second smallest value in r, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -240 (base 5) to base 12.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 74551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -114704?\nAnswer: -114704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4353184?\nAnswer: 2, 11, 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (4 - (-9 - -2) - 29) + -1 - 37.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 6, s: 4, q: 2, h: 3}. Give prob of sequence hhqq.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.82 + 9.18. Let b = 244 + -243.99. What is the second biggest value in b, m, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.17910619 to 3 decimal places.\nAnswer: 1.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, 4, -1\/3, -1\/4, -0.0139?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of 1\/120*j**6 + 0 + 13\/6*j**3 + 0*j + 5*j**2 - 7\/24*j**4 - 1\/6*j**5. Is 19 a factor of m(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiegiigepgiegr. What is prob of sequence eg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1600*l + 8165*l = 360*l + 84645 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1896, 1831, 1766, 1701?\nAnswer: 1636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h**4\/2 + 13539*h**3 - 8899398*h**2 - 53761779*h - 161650647\/2 = 0 for h.\nAnswer: -9641, -3, 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of -8*t**7\/21 + 3*t**5\/10 - 60*t**3 - 516*t. Find the second derivative of h(q) wrt q.\nAnswer: -320*q**3 + 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 8*t**2 + 11*t - 4. Let r be s(-6). Let f(g) = -9 + 3*g + r*g + 6 - 4*g + g**2. Let b be 6\/(-2*(-3)\/(-4)). What is f(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*t + 6*t - 27*t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 131429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v + 6*v + 3285*v**3 + 23533*v**3.\nAnswer: 26818*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 32 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*v - 1475417 + 519548. List the prime factors of v.\nAnswer: 3, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 35 = 2*v. Suppose -3 + v = 4*l. Let b be -8*((l - 1) + -5). What is the greatest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-7)*s*s)\/(s**(-2\/17)\/s)*(s*s*s*s**5*s)\/((s*s*s**(2\/9))\/s))**(-18) assuming s is positive.\nAnswer: s**(-1192\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -7*p**2 + 162*p - 22. Let j be t(23). Which is the nearest to j?  (a) 7  (b) 0.3  (c) 1\/3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-3))\/(2\/(-78)). Let h(q) = 10*q**2 - 6*q + 4. Let u be h(1). Suppose -3*b + z = 3*t + u, t - 18 = -4*b. Solve 0 = t*f + f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of -w**6\/360 - w**5\/40 - w**4\/24 + 7*w**3\/3 + 4. Let z(y) be the third derivative of o(y). Calculate z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 PM and 12:14 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 i when three letters picked without replacement from {q: 9, i: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 6:36 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4742068 rounded to two dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1339 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.3, -3, -2, 0, 3\/5, 92431 in ascending order.\nAnswer: -3, -2, -0.3, 0, 3\/5, 2, 92431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((8\/6)\/(-1))\/((-24)\/(-72))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -1  (b) 36\/11  (c) 7  (d) -0.15  (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - u + 42, 6*u + 3 = q + 2*u. Let p(k) = -24*k + 7*k + 10 + 7*k - k**2 + 0*k. What is the tens digit of p(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 89486407 to the nearest integer?\nAnswer: 9460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**2*p**(-3)*p\/p**(2\/5)*p*p**(2\/5) assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 12)*(-2)\/((-28)\/(-231)). Calculate the highest common divisor of 27 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 37448 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 97232 and 23773224?\nAnswer: 47546448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 91643 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 + 8*f + 5. What is o(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12101 - -20062. What is the greatest common factor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2146 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 113474500963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of -9*i - 288*i**2 - 301\/5*i**5 + 2 - 1933\/3*i**4 - 49\/30*i**6 - 688*i**3. Factor t(n).\nAnswer: -(n + 12)**2*(7*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70 is divided by ((-550)\/(-165))\/(2\/27).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 10*r**2 - r + 13. Let z be q(10). Solve -2*d = 3*v + 1, -4 = z*d + v + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 365 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4624612384.\nAnswer: 2, 7, 41, 503551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/8010204 and 145\/1515444?\nAnswer: 56071428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 0 + 35 + -13 + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - -10) + (7 - -7) + -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*m**2*o**5 - 2*m**2*o**2 + 2*m**2*o - 33*o**5 + 2 wrt o.\nAnswer: 120*m**2*o**2 - 1980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 5*n - 165 = -3*g, -4*g - 20 = 0. Let d = -6 - n. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -70 + 73. Let v(z) be the second derivative of -z**4\/4 + z**3\/2 + z**2 - 4*z + 6. Determine v(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20253 + -17280. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 + 13*a - 15. Let l be o(6). Differentiate -l*y**4 - 28*y + 28*y - 13 wrt y.\nAnswer: -108*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*a + 162 = 9*p + 57*a, 2*p - 36 = -a for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 z, and 1 h when three letters picked without replacement from {u: 3, m: 2, z: 1, t: 2, h: 9, b: 1}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -5.7. Suppose 3 + 1 = -4*a. Sort a, t, 4 in descending order.\nAnswer: 4, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 254298.24338 to the nearest integer.\nAnswer: 254298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 3, 179, 1.3 in increasing order.\nAnswer: 0.4, 1.3, 3, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -0.4, 125\/7, -0.08, 1 in decreasing order.\nAnswer: 125\/7, 1, 1\/4, -0.08, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddtt when four letters picked without replacement from ddttttddtttttttdtttt?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**3\/7 + 3*r**2 + 39*r\/7 + 19\/7.\nAnswer: (r + 1)**2*(r + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 1 - 4 = 0. Suppose -2*d + 41 = b. Suppose 3*n + 828 = 1284. What is the greatest common factor of n and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 4*m - 7. Let u(v) = -3*v + 22. Let j be u(4). Calculate g(j).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-2))\/(t*t**11)*(t**(-1\/7)\/t)**(1\/68) assuming t is positive.\nAnswer: t**(-1073\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -3*t - 2*w, -9*w + 6*w - 11 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 109 take away -13626893?\nAnswer: 13627002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 + 0)*(5*j**2 - 4*j**2 - 4*j**2) + (2 + j - 2)*(-72 + 72 + 14*j) in the form k*j**2 + p*j + y and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 21 = -79. Let b = 73 + i. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3647.9998832 - -3648. Round c to 6 dps.\nAnswer: 0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 8. Suppose -1 = -3*r + 5. Calculate the least common multiple of 7 and (-8 + j)*r\/(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {z: 3, w: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 47 + 13*y + 11*y + 10*y - 36*y. Calculate the lowest common multiple of c(19) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5643039445?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3542713 to the nearest integer?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -62?  (a) 1  (b) -5\/4  (c) 4\/11  (d) -3  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -5*p - 4*l + 11, 0 = 3*l + 3. Let d be 16\/p + (-4)\/(-6). What is the highest common factor of d and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21660 and 728498?\nAnswer: 21854940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105*y + 3 + 127*y - 3 - 229*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2873177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*2*1\/(-4). Solve w = 5*k - b - 19, -7*b - 19 = -k - 3*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 - -413. List the prime factors of t.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27 and 1251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g\/(g\/g**(3\/4)))\/g)\/g*g**(-4))\/((g\/(g**(-4)\/g)*g*g*g)\/(g*(g*(g*g**(-7))\/g)\/g)))**34 assuming g is positive.\nAnswer: g**(-1377\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 AM and 1:17 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 550212 and 12144.\nAnswer: 556814544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -56\/24247 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.79685um in nanometers?\nAnswer: 35796.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -23*a**3 + a**2 + 2*a + 1. Let p(j) = -j**3 + 9*j**2 - 8*j - 1. Let m be p(8). What is the units digit of f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that v**2\/3 - 347632*v\/9 - 77252\/3 = 0.\nAnswer: -2\/3, 115878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 4*k**2 - 2. Let a(p) = 189386*p. Determine t(a(u)).\nAnswer: 143468227984*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of -y**3\/3 - 4*y**2 - 10*y - 2. Let s be v(-6). Solve l = 2*u - 5, 5*u + 5*l = 22 - s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k**2 + 2*k - 1. Let x be p(1). Solve d - 5 = x*n - 2*n, 4 = -5*n - 2*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yymycyhcymccmmcyxjmx. Give prob of sequence hc.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 - -4 - 4 - -4. Suppose -3*b + 6 = 0, -5*b = u*c + 2*c - 2490. Suppose -76 = -j + 3*v, 4*j + 3*v - c = -147. List the prime factors of j.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 49384 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 5)*(-13*x**3 - 48*x**3 + 4*x**3) - x**3 + 0*x**3 + 0*x**3.\nAnswer: -172*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 12) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2470 - -2470.5. Let r be ((-6)\/(-44))\/(3\/(-4)). Sort i, r, -2.1 in decreasing order.\nAnswer: i, r, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -617, -927, -1443, -2165, -3093, -4227?\nAnswer: -5567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4466877*h*j**5 - 361751*h*j**2 + 2*h*j + 2*j**2 - 2*j wrt j.\nAnswer: 268012620*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7065716 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 7:40 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 323, 333, 365, 431, 543, 713?\n\"Answer: 2*o**3 - o**2 - o + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 4187, 870, -2449, -5770, -9093, -12418?\n\"Answer: -p**2 - 3314*p + 7502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from scccccccssscscscscc. Give prob of sequence ccsc.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence urvu when four letters picked without replacement from {a: 1, r: 4, u: 2, v: 2}?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 5*b + 26. Let v be g(8). Is 22 a factor of 44\/v*(-17 - -19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzmi when four letters picked without replacement from {i: 1, m: 1, z: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 5*s + 3*l - 31, -3*s - 3*l + 21 = 0. Suppose 0 = -0*k - s*k + 30. Calculate the remainder when 10 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 0.0995, -2\/9, -1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -142\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35, 84, 137, 194, 255, 320?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6208884191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 127 - -66. Suppose -v + r = 3*h - 298, h + 1938 = 4*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/((z\/(z**(2\/5)*z))\/z))\/((z*z**8)\/z)*z**11\/(z*(z*z**(-8)*z)\/z) assuming z is positive.\nAnswer: z**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4233)\/(-459) + 9\/(-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*s - 2*x + 4, 974*s - 13 = 973*s - 3*x - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12638621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -88 greater than or equal to -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.004 - -4.954. Let y = d - -0.05. Sort 0.5, -1\/3, y in ascending order.\nAnswer: -1\/3, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -222159  (b) -3  (c) 2  (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10917.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of a**4\/4 + a**2\/2 + 34*a - 39. Give l(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -313 - -306. Which is smaller: -42\/5 or o?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*(-5)\/(-30)*3)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from {l: 6, h: 4, r: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {g: 2, l: 1, a: 1, m: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-80)*4*(-880)\/20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -607.9314 rounded to one dp?\nAnswer: -607.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*i**4 + 382*i**3 - 287*i**2 + 4996784*i wrt i.\nAnswer: 48*i**2 + 2292*i - 574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 - 5*u. Let z be h(3). Does 11 divide (-52)\/(-3) + 2\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35011 + 109680 = -1834*o - 3863 for o.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 652973 is divided by 3678?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*a - 856 = 75*a. List the prime factors of a.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of 0 + 0*q**4 - 1\/15*q**5 + 0*q**3 - 1\/30*q**6 + q**2 + 6*q. Let b(d) be the first derivative of c(d). Solve b(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 85\/17*8\/10*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-24)\/(-16))\/((-6)\/16). Let a(o) = 3*o**2 - 2*o - 2. Let y(r) = r**3 - r**2 - r - 1. Let s be y(2). Let t(p) = p**2. Calculate s*a(d) + w*t(d).\nAnswer: -d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -24 + 22.8. Let s = j + 1.3. Let q = -240 - -1196\/5. Which is the third biggest value?  (a) 1\/3  (b) s  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 7:11 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of i**5\/35 + 20*i**4\/7 + 600*i**3\/7 + 79*i + 11. Solve s(m) = 0 for m.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 376890?\nAnswer: -37688c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 60\/36*-3 - 2\/(-2)*5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0048040629 to four dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = 5*h + 8, 3*h = -2*t + t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6524297827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20410?\nAnswer: 2, 5, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k - k - 13*k**2 + 4*k.\nAnswer: -13*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 102612 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 56502368 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 208 - 205. Let u(d) = 2*d**2 + 3*d - 4. Let v(l) = -3*l**2 - 4*l + 5. Let s(i) = 4*u(i) + 3*v(i). Give s(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -13*w - 71. Let g be l(-13). Calculate the highest common factor of g and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-12))\/(1\/42*-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.673 - 0.235. Round o to 2 dps.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10 or -21?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j and 1 e when four letters picked without replacement from {j: 11, e: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 - 31*q + 136. What is the least common multiple of d(5) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 20 + (-1 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of m**3 - 6*m**3 - m + 6*m wrt m?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 13, 1\/4, -36429, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -7560325 divided by -85?\nAnswer: 88945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 6 = -3. Let p = -33 + 54. Let a be ((p - 1) + 1)\/1. Calculate the highest common factor of x and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 74614623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6359350?\nAnswer: 2, 5, 193, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36740 is divided by 59.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -510 divided by -50.\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 2)*(5*r - 2*r - 2*r)*(-7*r**3 + 6*r**3 + 7*r**3).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 2)*(17 + (13 - 28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of 17*c**4\/4 + 67*c**3\/6 - 18*c**2. Is r(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -6*p**3 + 3*p**2 + 169*p + 334. Let g be w(-2). Solve -6*m = 50*m + g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(-2\/25))\/(c**(-3\/7)*c))\/(c**0\/c**(-10)) assuming c is positive.\nAnswer: c**(-1661\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k = -10*k + 3. Let w be k\/(-2)*12\/(-9). Solve w*d - 5 = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 566 (base 8) to base 4.\nAnswer: 11312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -127249 (base 10) to base 11\nAnswer: -87671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*i + 24 = 62*i. Let m(c) = c + 3. Let w be m(-5). Let g = i + w. Solve -1 = -g*h - 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -10000101110?\nAnswer: 10000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 6708992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 0.04, 2\/5, -1\/3, 0, -31\/11, -1\/8, -390?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -161 - -175. Let c(k) = 2*k**3 - 5*k**2 + 26*k + 10. Is c(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of 1 + 0*p + 1\/2*p**2 - 1\/8*p**4 - 1\/6*p**3. Factor w(z).\nAnswer: -z*(z - 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-15)\/10)\/((-3)\/(-6)). Sort 4, 7, f, -4 in increasing order.\nAnswer: -4, f, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17426 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.02 + -1.02. Let d = 2.5 - 3. What is the third smallest value in d, x, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/4)\/((-9)\/(180\/(-10)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 133\/28 + 9\/(-12). Let f(a) = y*a - 11 - a + 13 - a. Let t be f(9). Solve 5*j + t = -0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0269 times 27.7\nAnswer: -0.74513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**3 + 8*p**2 + 2*p - 17. Determine a(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 26 - (11 + (-9)\/3). Solve y + 20 = p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + 2 + sqrt(68) + sqrt(68) - sqrt(68))**2 - (sqrt(2448) - (sqrt(2448) - (sqrt(2448) + sqrt(2448)*-1 + sqrt(2448)))**2).\nAnswer: 4*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -656\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.05, 1\/3, 27, 0.07, -6, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2308*w**2 + 56356736*w - 195344.\nAnswer: 4*(w + 24418)*(577*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-38)\/24 + 3\/(-18). Let y = 253.1 - 252.9. Which is the biggest value?  (a) y  (b) -0.1  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -524*a**2. Let k(w) = 747327*w**2. What is k(s(q))?\nAnswer: 205198058352*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 488847 times 3\nAnswer: 1466541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 45 + 0*r**3 - 87*r**4 - 105*r**4 + 9*r + r**2 + 72*r**4 - 6*r**3 wrt r.\nAnswer: -1440*r**2 - 36*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -81 times 12246.49?\nAnswer: -991965.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*o + 3*o - o)*(4*o - 2*o - 3*o) + (2 - 7 + 0)*(-2643 - 65*o**2 + 2643) to b*o**2 + w + t*o and give b.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 15) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 5 = 2*r + 7, r - 6*n - 28 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 30.59 greater than -0.53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*a**2 + 0 + 19*a**2 + 0.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 955 - 86 = k, 0 = -p - 2*k + 293. Suppose 0 = 4*c - 9*c + l + p, 4*l + 16 = 0. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -47 - -47. What is the closest to 6 in 0.4, -4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 244245*u**3 + 377792*u**3 + 980635*u**3.\nAnswer: 1602672*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 40 = 5*m, 2*t = 2*m - 3*t - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5813*r - 5793*r = -80 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 8:09 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3.3  (b) 1\/8  (c) -5\/2  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 25 = -4*d, k + 81*d - 86*d = 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -712*p = -354*p - 335*p + 161 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16656 and 196998.\nAnswer: 546866448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 35 = 5*i, -4*m - i = -512 + 529 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -588, -278, 1234, 4548, 10264, 18982, 31302, 47824?\n\"Answer: 100*y**3 + y**2 - 393*y - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from {h: 12, l: 1, o: 1, i: 1, m: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 15*u - 1070. Let o be m(71). Which is the biggest value?  (a) -0.4  (b) o  (c) -9  (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 9\/10 of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - 2*w)*(-6 + 1 - 9) + 4*w + 2*w - 5*w)*(-20*w**2 + 0*w**2 - 11*w**2).\nAnswer: -899*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (sqrt(153) + 3*3*sqrt(153) - sqrt(153))) + 3*(sqrt(153) - 1*sqrt(153)))\/(sqrt(9)*-2*5 + (sqrt(54) - sqrt(2646))\/sqrt(6)).\nAnswer: 7*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -20*q + 156. Suppose a - 26 = -6*d + q*d, 0 = -a + 3*d + 22. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 387461*z**2. Let y(u) = u. Determine y(r(s)).\nAnswer: 387461*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 268071276 by 2859.\nAnswer: 93764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 - 206*p + 1962. Calculate t(196).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 49 + -16. Suppose -2*f - 23 = -j. Solve -4*i - f = 3*k + 5, -2 = k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*x = -25*x + 3696. Suppose 0*z = -2*z + x. Does 32 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/315*-7)\/((-3)\/((-144)\/2))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 + 3*r - 3. Let m be (-6)\/(-2)*3 + -2. Let z be (-5 - -5) + (5 - 0) + -3. Suppose 0 = -n - m + z. Calculate u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, v: 14}. What is prob of sequence vvqv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 4*x**2 + 2*x + 8. Let y(j) = 9*j**2 + 2*j + 16. Calculate -7*g(c) + 3*y(c).\nAnswer: -c**2 - 8*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -19?  (a) 8  (b) -5\/3  (c) 2  (d) -13  (e) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 183*d - 44*d - 46*d - 53*d - 40*d - 4*d**3 - 2*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.078 - -0.078. Let g = -0.034 + -0.866. Let w = -1.1 + g. Which is the closest to h?  (a) w  (b) 1\/2  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ibb when three letters picked without replacement from {i: 6, b: 4, g: 1, e: 6, c: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-5 + 7) + 285\/(-4400)*-8.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 707\/28 - 2\/8. Suppose 13*j - j - 2100 = 0. Calculate the highest common factor of u and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4369, -4243, -4115, -3985, -3853, -3719, -3583?\nAnswer: -3445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-6))\/(74\/444). Solve -23*a - v = -22*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**2 - 7*a**3 + a**2.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 12*n**3 + 9*n**2 + 22*n + 5. Let l(i) = -5*i**3 - 5*i**2 - 11*i - 3. Let a(j) = -5*l(j) - 2*w(j). Determine k so that a(k) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 158*c + 17. Let z(s) = 229*s. Determine z(a(i)).\nAnswer: 36182*i + 3893","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -t - 12, -2*t + 0*t - 5*r = 20. Let q be t*(-3 - (0 + -4)). Suppose 2*s = 6*s - 12. Solve q*u = s*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*j, 4*j + 27 = 2*m + 7. Let l = -111 + 1553\/14. Is m < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dhcpckhcxdpx. Give prob of sequence hp.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9811225 is divided by 3270408.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4597, 9193, 13789, 18385, 22981?\n\"Answer: 4596*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*f**2 + 3*f**2 + 3*f**2 + (-1 - 1 + 1)*(2 + 2*f - 2)*(-193498 + 443*f + 193498).\nAnswer: -884*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30 - 0. Suppose 3*g - s = -3*q, -5*g - 3*q = -43 - 17. Let b = 18 + -9. Solve 7*i = 5*w + 2*i - g, 0 = -w - 5*i + b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17071 - ((-3)\/(-15))\/(-11 + 216\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 200 = -4*l. Suppose -l = -4*k + 3*f + 2*f, -k + f = -9. Let t be (-3 - (-1 + -1))*4. Put t, -7, k in decreasing order.\nAnswer: k, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 236.2 - 176. Let a = g - 66. Round a to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + -31812640?\nAnswer: -31812640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1713.2 + -1559. Round o to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*r = -5*r - 34 - 33 + 69 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4999667605 + 4999667690.89116796. Let u = -199.89116849 + q. Let l = 114 + u. Round l to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.38 - -0.08. Let n be ((-8)\/12)\/(-1)*39\/(-143). Sort 0.4, m, n in decreasing order.\nAnswer: 0.4, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -5*r - 2*p + 1305, 5*r - p - 1305 = 0. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of -3*s**4\/4 + 14*s. Let p(m) = -24*m + m**2 + 15*m + 9*m. What is k(p(i))?\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -44*g + 312. Let k be c(7). Suppose 0 = 2*s - 6*s - 3*n, 0 = 5*s + 4*n. Let v be (-4)\/(1 - 0 - 3). Sort v, k, s in decreasing order.\nAnswer: k, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 + 31*s**2 + 80*s - 2493. Give q(31).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b + 4 - 4)*(1 + 3 - 3)*(2 - 4 - 3)*(-3*b - 4*b + 6*b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -44163\/158 smaller than -279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 590 and 4540.\nAnswer: 267860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + a**2 - 2*a**2)*(395*a**3 + 151*a**2 - 181*a**3 - 216*a**3).\nAnswer: 6*a**5 - 453*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 693  (b) -3.9  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 4\/24*27\/6\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 12:48 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/27  (b) 1\/9  (c) 4\/69  (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 0.19, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 4*a - 22. Let w(t) = 13*t**2 - 15. Give x(w(j)).\nAnswer: 52*j**2 - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, j: 5}. What is prob of sequence hj?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 336 + -111. Suppose 4*c - 69 = -g, 5*g - 615 + f = -5*c. Let q = -51 + g. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -52*o**5*s + 4*o**4*s - 47*o**4 + 5*o**2*s + 5*o**2 + 7*o*s wrt o.\nAnswer: -3120*o**2*s + 96*o*s - 1128*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -316 + 450. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 82597324 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by 20\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -15*u + 18. Let t(r) = -r. Let s(d) = -c(d) - 5*t(d). Let h be s(9). What is the highest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 268 and 2684690?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3565 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z*z\/z**(-5)))\/(((z*z**(-7)*z)\/z)\/z)*(z**(-2\/7)\/z)**(-4\/5) assuming z is positive.\nAnswer: z**(106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 41300606483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 5*b - 6. Let z be d(2). Suppose -v - 2*v = 5*x - 10, -2*x + 30 = -z*v. Suppose -x*w - 25 = -55. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1759863 by 543.\nAnswer: 3241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21.1 - -21. Which is the nearest to q?  (a) -1\/4  (b) 4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -250974249*j**2 + 228280435*j wrt j.\nAnswer: -501948498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -18, 8866, -6\/11, 2\/11 in descending order.\nAnswer: 8866, 1, 2\/11, 0, -6\/11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 9*g - 7*g - 266, -219 = -3*d + 5*g. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -83, -143, -201, -257, -311?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6733261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 23*u**3 - 16*u**2 + 18*u + 76. Let x(v) = 50*v**3 - 33*v**2 + 36*v + 172. Let r(j) = -13*m(j) + 6*x(j). What is r(-12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 120091, 116622, 113153, 109684?\n\"Answer: -3469*r + 123560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1986534096.23529 + 4.\nAnswer: 1986534100.23529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1246426426 - -5?\nAnswer: -1246426421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 125, 118, 109, 98, 85, 70, 53?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 7380 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17 - -17. Suppose a = 2*c + 1 - 7. Suppose -289 = -c*v + 140. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.3 - -0.7. Let n = -41\/7 - -157\/28. What is the closest to 2\/5 in 3, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 475408 or 475409?\nAnswer: 475409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 + 4*s + 5. Let p be a(4). Suppose 4*q - 16 = -0. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 459392 and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 321*n**5 - n**3 - 2*n**2 + 33.\nAnswer: 19260*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 13. Solve -6 = 3*q - 2*j, 3*j = t*q - 1 + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -293, -377, -461?\n\"Answer: -84*x - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - -3)*2\/6. Suppose n - 12 = 5*b. Is 22 a factor of (-600)\/(-10) + b*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 3*k**5 - 18*k**4 + 36*k**3 - 30*k**2 + 9*k = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 187 + -189. Suppose 3*v + 0*v = 0. Is 19 a factor of 20 + v\/(j + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5261, -10574, -15925, -21332, -26813?\n\"Answer: -3*o**3 - o**2 - 5289*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.651480117 rounded to 3 dps?\nAnswer: 0.651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 337 - 337.253. What is f rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30308.807 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = t + k - 22, -3*t - 2*k + 66 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0*(-1)\/(-2))\/(-1). Let y(d) = 4 + 3*d - 6*d + 2*d. Is y(i) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8 + -376948?\nAnswer: -376940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -178 - 86 - 794*i + 264.\nAnswer: -794*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*f + 27 = 5*f. Which is the nearest to f?  (a) 5  (b) 1  (c) 0.5  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 621613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 3)*((1 - 1 - 1)*(-1 - 2 + 4) + 2 - 2 - 1)*((-3 - 2 + 6)*(0*l + 0*l + 2*l) + l - 9*l + 0*l).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 24\/(-4)*(1 + -3 + 1). Suppose -2*v = 4*m - y, v + 1 + 5 = m. Sort -11, 0, 1, v in descending order.\nAnswer: 1, 0, v, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 4*m = -18600. Round m to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(5*sqrt(80))**2.\nAnswer: 4000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(39)\/(sqrt(108)\/sqrt(4)) + 1*sqrt(832)*-1.\nAnswer: -23*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(8 + -12 - -3). Let z = 1 + 7. Sort u, z, 1.\nAnswer: u, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1499*-32.\nAnswer: -47968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-392)\/(-98)*2\/(-92).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 30\/29 + -149\/116. Suppose 2*g + 3*u + 227 = 0, 0 = 5*g - 2*u - 229 + 806. Let p = g - -121. What is the closest to w in p, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8.758 - 8.758. Are b and 8\/61 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**4\/5 - 96*w**3\/5 + 828*w**2\/5 + 7776*w\/5 + 13122\/5.\nAnswer: 2*(w - 27)**2*(w + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 11455051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 7707, 1\/2 in descending order.\nAnswer: 7707, 1\/2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w**5 + 1228*w**3 + 4228*w**2 - 286 + 159*w**4 + 1102*w - 35*w**4 + 2990 + 4722*w = 0. Calculate w.\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/111583486 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 558 + -542. Calculate the lowest common multiple of y and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -101.4 + 25.4. Let m = 75.8 + x. Which is the biggest value?  (a) -38  (b) -0.1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 33 + 7. Suppose -2 = u*r - 18. Solve 5*f + 2*d + 13 = 0, -r*f + 5*d = -0*f - 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11910067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 599.4633um in millimeters?\nAnswer: 0.5994633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 0*c + 6 = 2*c, 0 = 2*m + 3*c - 9. Let o be -4 + (m - (-3 + 1)). Let j be (24\/(-30))\/(o\/5). Solve 5 = -j*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 318*b - 642*b + 321*b + 153*b**3.\nAnswer: 153*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v**2 + 2*v**2 + 5*v**2)*(3 + 5 + 15 + 2 - 1 + 0 + (2 + 3 - 3)*(-1 + 1 - 2) + 4 + 1 - 4).\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 145, 262, 381, 502, 625, 750?\n\"Answer: x**2 + 114*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 8*l - 1770. What is the highest common divisor of 295 and l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 PM and 1:28 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36010 is divided by 17724.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -244*d**3*q**2 + d**3*q - 22*d**3 + 2*d*q**2 - 6*d*q wrt q?\nAnswer: -488*d**3 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -309, -269, -215, -141, -41?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 3*l**3 - 9*l**2 - 13*l - 9. Let q(k) = 7*k**3 - 17*k**2 - 26*k - 17. Let g(m) = 4*q(m) - 9*z(m). What is the units digit of g(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21*(-4)\/1540*-10*(-22)\/16\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -39\/16  (b) 0.1  (c) -1\/5  (d) 7514\/9  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -5*f + 5*x - 46, -4*f = x + 47. Is (10 + f)*(-220 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*c + 75 + 30 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -55*w - 72. What is the lowest common multiple of y(-3) and 12?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 4*q**5\/5 - 552*q**4 - 85996*q**3\/5 - 299664*q**2\/5 + 6315408*q\/5 + 1306368 = 0.\nAnswer: -18, -1, 7, 720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57906 is divided by 921.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3.69928 times -50\nAnswer: -184.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p**2 - 8*p - p**2 + 774 + 25*p + 2*p**2.\nAnswer: -2*p**2 + 17*p + 774","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a + 21 + 11. Are -10 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - -19. Suppose 11*f - x*f + 42 = 0. Find the first derivative of 42*p - f*p - p**4 + 8*p**4 + 12 wrt p.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, g: 1, d: 1, r: 1, l: 1, f: 1}. Give prob of sequence lw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 7. Suppose d*i - 40 = 96. Calculate the remainder when i is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.18 + -0.58. Which is the nearest to -1\/3?  (a) -5  (b) 3\/5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5625 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 - 5*o**2 + 6*o - 4. Let d(g) = -21*g + 13. Let q be d(-6). Let u = q - 135. What is k(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v\/(v*v**(-2\/37)\/v))\/v)\/((v\/v**(-2\/3))\/v) assuming v is positive.\nAnswer: v**(43\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 PM and 5:40 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47 = i - o, 15*o + 6*o - 208 + 959 = 5*i + 4*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -339432 divided by 8?\nAnswer: -42429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 406857390*k**6 + 100407*k**2 + k + 84?\nAnswer: 48822886800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3\/7, 167, 0.1, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 4*v + 156 = -v, 2*o - 66 = -3*v. Let u = o + -18. Calculate the remainder when 33 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 4*u**3 - 7*u**2 + 5*u - 1. Let r(n) = 518*n - 8283. Let q be r(16). Let f(w) = -w**3 + w**2 - w + 1. Determine q*f(k) + d(k).\nAnswer: -k**3 - 2*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*s - 247 + 106 = 21*s - 104 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, g: 4, q: 2, z: 1, b: 3, x: 2}. What is prob of sequence nx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1661 and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -3*l**2 + 5. Let p(z) = -8*z**2 + 14. Let j(q) = -5*p(q) + 14*v(q). Let g(b) = -88*b + 15*b + 45*b. Give g(j(k)).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 457 = -9*c - 27*c - 155 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*x = -96*x - 154*x - 585 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 263794, 527638, 791482, 1055326?\n\"Answer: 263844*m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 - 35. Suppose 5*t + 4*j - 865 = 0, -3*j = -m*j. List the prime factors of t.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 = -575*c + 545*c. Solve -c*p = 5*i - 31, 2*p + 0 - 4 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s**3 + 86*s**2 - 689 - 366 - 86*s**2 + 9*s.\nAnswer: -4*s**3 + 9*s - 1055","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1122002211 + 12?\nAnswer: -1122002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 + h**2 - h**2)*(6 - 11 - 6).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 14*i**5\/5 - 248*i**4\/5 - 86*i**3\/5 + 248*i**2\/5 + 72*i\/5 = 0?\nAnswer: -1, -2\/7, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 28509232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -236*k + 146211 = -220*k - 14493. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*h**3 - 5*h**2 + 1245*h + 2.\nAnswer: -48*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 m when three letters picked without replacement from misouimuuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10175128?\nAnswer: 2, 541, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1308691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*u**5 + 583*u**2 + 2*u - 6796?\nAnswer: 300*u**3 + 1166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -14*j + 588. Let f be c(42). Solve f = -5*b - 5*l, 5*l - 8 = 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-30)*6)\/((-37)\/185)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -13533 (base 6) in base 10?\nAnswer: -2145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 848, 3382, 7596, 13484, 21040, 30258?\n\"Answer: -j**3 + 846*j**2 + 3*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 13 = -0*s. Let b = 34 + s. Let c be 1\/2 - b\/6. Round c to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.023 from 0.083.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 535 - 405. Calculate the least common multiple of 156 and k.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2655 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 300?\nAnswer: 1\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(242) + 3*sqrt(242)))**2.\nAnswer: 61952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bqqbq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-7\/2)*j\/(j*j**12*j) assuming j is positive.\nAnswer: j**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216 = -5*m + 2*m + 2*j, 4*m - 3*j = -288. Let f = 18 - m. Is f a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 547, 1059, 1543, 1993, 2403?\nAnswer: 2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40835*j - 13637*j - 13606*j - 13836*j.\nAnswer: -244*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(((-4 + 1*sqrt(245) - sqrt(245)) + 5)*-4 + -5))**2*3.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 45849, 45898, 45947, 45996, 46045, 46094?\n\"Answer: 49*p + 45800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/(((u**10*u)\/u*u)\/u*u))\/(u**(1\/2)*u)*u\/(u\/u**0)*u**(-1\/7)\/u assuming u is positive.\nAnswer: u**(-163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**(2\/11))\/(h\/(h**(1\/5)\/h)))\/(h*h*h**(-2\/3)\/h*h*h)**(40\/3))\/(((h*h\/(h*h**(1\/2)*h*h))\/h**(-2))\/(h**1\/(h\/(h\/h**(-2\/7))))) assuming h is positive.\nAnswer: h**(-214439\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (25 - -5)\/(1 + 1). Let r = t + -12. Let c be (-3 - (-8)\/r)*-3. Solve 4*f - c = 19, 3*f = 2*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -11, -0.1, 0.08, 3, 50?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -2*q**2. Let y(j) = 298*j + 5. Determine w(y(k)).\nAnswer: -177608*k**2 - 5960*k - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 5*o**2 + 4*o - 6. Let u(s) = -s + 29. What is the remainder when u(-12) is divided by t(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 65 + -41. Suppose 4*m = 2*m + z. Is (-304)\/m*6\/(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c + 81 - 81)*(-2 + 4 - 1) + 4*c + c - 3*c + (-5 + 5 + 2*c)*(3 - 7 + 0).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36 and 1251.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 1 + 2*a**2 + 5*a**3 + 2*a - 2*a**3 - 2 - 2*a**3. Let h be 12\/(-15)*5\/2. What is n(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -34*r**2 - 52*r - 30. Let d be o(-23). Let w be 6\/(-4)*(-1 - d\/(-12)). Suppose -9*z = -z - w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 60, 203, 442, 777?\nAnswer: 1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r**2 + 50630*r - 128169845 = 0. Calculate r.\nAnswer: 5063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -5  (b) -0.3  (c) 1187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 - c. Suppose -7*h - 12 = -3*h. Let v(u) = 4*u**3 + u**2 - u - 1. Let f(b) = h*n(b) - v(b). Give f(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (-3 + 5 + 4) - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-8 - -3 - (-4 + 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -154 + 169. Calculate the lowest common multiple of 26 and f.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2159567*m + 17276541. Give v(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -42  (b) 0.106  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 62175702841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h - h + 2. Suppose -3*b + 10 = 3*c - 2*c, h*b + c - 6 = 0. Is (-49)\/(-2)*(b - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**0)**26)**(3\/2)\/(p**4\/(p*p*p**3)*(p*p\/p**(-3)*p*p)\/p**(-1\/3)) assuming p is positive.\nAnswer: p**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 = 4*i + 3*q + 32, 0 = -2*i + 3*q + 96. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f + 4. Let b be j(5). Let a(x) = 9*x**3 - 3*x**2 - x + 1. Let z be a(-1). Let n be 9 + z - 1\/b. Solve 3*g + 2*q - 11 = n, -g - q + 4 = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 + 5*w**2 + 8*w - 7. Let k be t(6). Let g be k\/7 - (-6)\/21. Let m = 137\/70 - 21\/10. Which is bigger: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*w = 52*w + 28. Let b(t) = 14*t**2 + 3*t + 3. Let u be b(w). Which is bigger: 52 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {y: 2, a: 17}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n**4 - 9404520*n**3 + 268*n**2 - 3*n + 5256 wrt n?\nAnswer: 24*n - 56427120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -x + 372568 + 898027. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -13. Let p be -6 + -6*11\/(-9). Factor 0 + 0*f + 0*f**2 - p*f**3 + 10\/3*f**4 + 14\/3*f**m.\nAnswer: 2*f**3*(f + 1)*(7*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-nine halves of a microsecond in nanoseconds?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56007, -56939, -57871?\nAnswer: -58803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 71?  (a) -4  (b) 0.063  (c) -33  (d) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010 (base 2) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -a**4\/27 + 16*a**3\/27 - 8*a**2\/3 - 42*a. Solve u(k) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 113 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-60)\/210 + 2686\/1911. Let l = 5\/147 + d. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a1c3 (base 15) in base 9?\nAnswer: -51763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of 26*i + 7*i**2 + 13\/6*i**3 + 0. What is the first derivative of s(d) wrt d?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 y when three letters picked without replacement from {l: 5, y: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a week in minutes?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 k, and 2 b when four letters picked without replacement from gceebckeecrb.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 817002 divided by 3.\nAnswer: 272334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xsz when three letters picked without replacement from {s: 2, x: 4, z: 8}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(9\/21) - 2. Suppose q = y*q. Solve q = 4*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - 4*f**2)*(-29*f - 10*f**2 + 18*f + 45*f) to r*f**3 + d + u*f**2 + w*f + i*f**4 and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 6*l**3 + 4*l**2 - 115. Let k(f) = -12*f**3 - 9*f**2 + 232. What is -4*k(q) - 9*n(q)?\nAnswer: -6*q**3 + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 1  (b) -5  (c) 2\/7  (d) 1354  (e) 3  (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1937, 1732, 1523, 1304, 1069, 812?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*i = 26*i - 15*i - 230. What is the remainder when 149 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5\/4, -1.02, -2\/9, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 2*p - 20. List the prime factors of (-126)\/(-10) + (-4)\/p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 9*y**4 + 10*y + 5. Let s(r) = -4*r**4 - 5*r - 3. Let c be (-36)\/24*5*(-2)\/3. Let f(q) = c*s(q) + 3*l(q). What is the second derivative of f(a) wrt a?\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -6*r**3 - 2114*r**2 - 704*r - 500. Give z(-352).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 144954815 and 0.4.\nAnswer: 57981926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11522710 and 22860?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -201 divided by 1\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 5*s + 28 - 5 = 0, -5*x - 941*s - 4 = -943*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -968, -808, -664, -542, -448, -388, -368, -394?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/266800 and -32\/150075.\nAnswer: 2401200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1706313500 rounded to the nearest 1000000?\nAnswer: 1706000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16.288386 + 0.288306. Let w = 2522 + -2506. Let c = t + w. What is c rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: -4*-39039\nAnswer: 156156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -3*j. Let d(q) = 1062*q. Calculate d(a(c)).\nAnswer: -3186*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12 - -18. Suppose -k = -5*s + 2*s. Suppose s*t + 5*w = 24, -t = t - 3*w - 24. What is the least common multiple of t and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*b + 54 = -4*b. Suppose -b*t = -282 + 24. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*-3*-2*3)\/((sqrt(396) - 1*sqrt(396) - sqrt(396))*-5).\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + -1 - (-6 - 0). Let p be (10\/3)\/j*3. What is the third derivative of -f**2 - f**4 - f**4 + f**4 - p*f**2 wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 84310721 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 3) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 10:22 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccw when three letters picked without replacement from clcw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 2*l + 13 = 6*i, i - 5 = -2*l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n and 1 x when four letters picked without replacement from {n: 4, x: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 1290?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 a, and 2 n when four letters picked without replacement from nnfnnrgnngffa.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*k**3 + 0*k**3 + 2*k**3 + 0*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-4) + (-1980)\/(-8). Suppose j = f + 3*f. 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 7243 is divided by 65.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-4))**(3\/38)\/(g**7\/(((g*g**(-1\/4))\/g)\/g)) assuming g is positive.\nAnswer: g**(-651\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -4. Let q be (i\/6)\/((-2)\/8). Suppose -3*f + 15 = 0, -7*b + q*f = -3*b - 30. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112776 is divided by 56352?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4*p - 10 = -0*f, -4*f = p - 10. Let j(v) = -v - f*v**2 - v + 2*v. Let q(n) = -2*n. Determine j(q(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/20*(-36)\/(-648))\/(3\/6).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.012801835+1810\nAnswer: 1809.987198165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 40\/(0 - (-2)\/3). What is the greatest common divisor of 24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/3)\/(((w\/((w**(1\/3)*w)\/w))\/w)\/w))**(-1\/21) assuming w is positive.\nAnswer: w**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5700)*2 - sqrt(57))*1)\/(2*sqrt(12)*-2).\nAnswer: -19*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17156 + -16173. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -24712840*q**4 + 3650*q - 37328 wrt q?\nAnswer: -296554080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1604 + 1604.0015688. What is p rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2  (b) -1\/2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14627608.\nAnswer: 2, 1828451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.266 - -0.2. Let f = -4 + 4.024. Let g = y + f. Round g to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/16)\/((-12)\/96).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -203264*r**2\/3 - 203258*r\/3 + 2.\nAnswer: -2*(r + 1)*(101632*r - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 50 - 10 = 0. Suppose 50 - 7 = y - 5*j, 2*y - 41 = j. Calculate the smallest common multiple of y and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 542.852 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -29, -266, -911, -2168, -4241, -7334?\n\"Answer: -34*r**3 + r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -14 - (-369 + -11 + 15). What is the greatest common divisor of 65 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 1 + sqrt(11) - ((-4 + sqrt(176))**2 - sqrt(11)).\nAnswer: -196 + 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3*s - 174 = 0, -3*s + 296 = 2*a - 79. Let z be (-1)\/(-2) + a\/(-6). Let n be (-16)\/z*15\/(-20). Is n smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -3*g. Let l(z) = -114 + 114 - 4*z. Determine l(k(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of 209*m**8\/336 - 51*m**4\/8 - 55*m**2 + 2*m. What is the second derivative of o(s) wrt s?\nAnswer: 4180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-1)*x*x)**(-3\/19))**(-37)*(x**(2\/25)\/x*x*(x*x*x*x**(-6\/7))\/x)**(-4\/25) assuming x is positive.\nAnswer: x**(469361\/83125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2772113.07 and -1174?\nAnswer: 2773287.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/3  (b) 1.1  (c) -41  (d) 3  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -45*c**2 + 30. Let p(w) = 181*w**2 - 119. Let f(m) = -9*k(m) - 2*p(m). What is the first derivative of f(n) wrt n?\nAnswer: 86*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 834*n**4 + 1404?\nAnswer: 3336*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 146331200 to the nearest one million.\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from azazzzahhaahahaaaaaa.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - 2*s + 4. Let b(t) = -t**3 + 11*t**2 - 11*t + 10. Let d be b(10). Let l be -3 + 4 + d + -4. What is the tens digit of x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 69 + -73. Let l(q) = q - 5*q**2 - 5 + 4 + 2 - 6*q - q**3. Calculate l(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 6*b**2 + 4*b + 1. Let v be g(3). Let n = -38 + 27. Let r = n + v. Calculate the highest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -2\/15, 50, 0.07?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4360 and 38695?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-10)*-28 - 6\/10. Suppose -d*z - c + 66 = 0, -4*c = 5*z - 2*z - 26. Calculate the remainder when 153 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9230, 2, -3, 1 in increasing order.\nAnswer: -9230, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.169*-16592\nAnswer: 2804.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3978 and 61251102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/24850 and -107\/28400?\nAnswer: 198800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6502, 26134, 58944, 104986, 164314, 236982?\nAnswer: 323044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.2 + 1.2. Let r = -1.142 + 0.122. Let q = r + 1.52. What is the nearest to q in 1, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4\/2 + 5*u**3 - 103*u**2\/2 + 130*u - 102.\nAnswer: (u - 3)*(u - 2)**2*(u + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -19*s + 36. Let o be ((-10)\/(-4))\/((-5)\/10). What is the tens digit of c(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((2 + sqrt(51)\/sqrt(3) + sqrt(17))*2)**2 + (2*(sqrt(272) + 1) - sqrt(272) - (2 + sqrt(272)*-1)**2).\nAnswer: 9 + 52*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (74\/2)\/(3\/(-111)). Let k = y + 13627\/10. What is the common denominator of k and 412\/(-5)*(-15)\/(-120)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 65.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a + 7. Let i be h(-6). Let d be (6\/(12\/i))\/(2\/(-920)). Round d to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**(-5\/2)\/q))\/q)\/(q*q\/(q*q**(-2\/17)))*q**3*q**1*q*((q*q*(q**(-2\/9)*q)\/q)\/q)**(-43)\/(q**(1\/4))**(-27) assuming q is positive.\nAnswer: q**(-11819\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*z + 1. Suppose 5*a - z*a = -6. What is the common denominator of a\/4 + 1 + 32 and -47\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 5) + 1 + -78 + 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**5 - 2*t**4 - 6*t**3 + 4*t**2 + 13*t + 6 = 0 for t.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 95905882 by -2523839.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -357 + 345 - (1 + 24).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.345348km to meters.\nAnswer: 5345.348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 PM and 10:44 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of -s**5\/30 + s**3\/3 - 1. Let o(m) be the third derivative of h(m). Let l(a) = 0*a + 6*a**2 + 0*a - 8*a**2. Calculate o(l(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 72150 and 4680.\nAnswer: 865800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-10)*12860\/(-9645)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9503 and 1547.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*q - 23*q = -2*j + 12, 2*j = -5*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2785287*c**3*s**3 + 35*c**2*s**3 - 24*c**2*s + 408*s**2 - 1 wrt c?\nAnswer: -16711722*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 0.3, -0.23 in ascending order.\nAnswer: -7, -0.23, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4  (b) 2  (c) -10  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of -125\/6*w**3 + 0*w**6 - 52\/105*w**7 + 0*w**4 + 0 - 2*w - 2*w**2 - 1\/30*w**5. Find the first derivative of h(u) wrt u.\nAnswer: -416*u**3 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**4 - 515*i**3 - 5605*i**2 - 5085*i.\nAnswer: 5*i*(i - 113)*(i + 1)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 648*y - 382. What is the smallest common multiple of 20 and z(7)?\nAnswer: 41540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 9*q - 2 - 4 + 4.\nAnswer: -9*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 330 and 1734689?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 221937311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**8\/r*r*r*r)\/r*r\/(r**(1\/4)\/r)*r**(8\/7)*r*r*r\/r**(-22) assuming r is positive.\nAnswer: r**(1061\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 76 and 4266565?\nAnswer: 324258940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6475974143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -15*m**2 - 299*m - 8. Let n be w(-21). Do n and -347 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 3*v + 1. Suppose 0 = 3*i, 16*i - 13*i - 6 = 2*s. Determine o(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 7, p: 4}. What is prob of picking 4 p?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -27*p**3 + 12*p**2 - 79*p + 2. Let y(o) = 165*o**3 - 74*o**2 + 473*o - 12. Calculate 37*l(m) + 6*y(m).\nAnswer: -9*m**3 - 85*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13502410 (base 6) to base 2.\nAnswer: -1110000001001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1224 and 3213?\nAnswer: 25704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 98 by 677974.\nAnswer: 49\/338987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5 + -5 + (-2*-3*sqrt(119) + sqrt(119))\/(sqrt(343)*4)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 20 = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 124161071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -37 + 37. Suppose 3*p + t*p = -45. Does 39 divide (2781\/p)\/(-1) - 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -9*z**3 + 4*z**2 - z - 1. Is 13 a factor of g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 66683, 66680, 66677, 66674?\nAnswer: 66671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82986.\nAnswer: 2, 3, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35936 is divided by 17964.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 6*c + 4. Let t be i(-5). Let d = 270 - 244. Let n = t + d. Is n less than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2222, 4519, 6840, 9143, 11386?\n\"Answer: -7*y**3 + 54*y**2 + 2184*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + -1. Let w be 18\/4 + i\/(-2). Suppose -8 + 23 = w*u. What is the highest common divisor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4269699 by -104139.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/2))**3\/((h\/(h\/(h*h**(-2)\/h)*h))\/((h**(2\/7)\/h)\/h)))\/((((h**(2\/5)*h)\/h)\/h)\/h*h*h*h*h\/((h*h\/h**(-2\/17)*h)\/h)*h*h)**(-27) assuming h is positive.\nAnswer: h**(76647\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 124 and 303374308.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192936 is divided by 177.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -190 != -190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -111 + 111. Suppose x = -108*j + 105*j. Let t = 1 + -1.5. Which is the closest to 2\/7?  (a) 0.1  (b) j  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l + 0*l - 4*l + (4 - 4 - 3*l)*(0 - 1 + 0).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of x**4\/4 - 10*x**3\/3 + 6. Let s(o) = 0. What is o?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/7 - (-29)\/(-525). Let y = -2\/75 - h. What is the closest to y in -1\/3, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 37422 and 420.\nAnswer: 374220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3044 = 83*k - 5617 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/15 + 2\/5. Suppose 89 = -4*a - 3*t, -5*a - 113 - 42 = -5*t. Let k be 3\/a*(-12)\/(-3). Is m at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -37*u - 8 + 3*u**2 + u**3 + 36*u - 2*u**3 - 4*u**2. Give w(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.085662839 to 5 dps.\nAnswer: 0.08566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 4*((sqrt(15) + sqrt(60)\/sqrt(4))*2)\/sqrt(5)*1.\nAnswer: -5 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, -2, 3, -1, 5 in descending order.\nAnswer: 5, 3, -1, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252*x - 56 = 224*x. Solve -3*g + 5*k - 21 = 0, -x + 13 = 2*g + 5*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -98 - -102. Suppose -5*h + 3*c + 148 = 0, -v*c - 76 = -4*h + 36. What is the derivative of -h*a + 15*a - 25*a + 17 wrt a?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 203 + -104. Suppose 11 = 3*r - 1. Let x be r*(-2 + 17\/4). Calculate the greatest common factor of j and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (78\/(-12) + 6)*6*-1. Solve -n = q*o + 14, o - 4*o + 2*n + 1 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -24 (base 5) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 2:01 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -125439, -125504, -125569?\nAnswer: -125634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 17.08375 grams?\nAnswer: 17083750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**3 + 16*m**2 - 6*m - 12. Let k be j(9). Let c = 270 - k. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 90517221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (4 + sqrt(637))*5.\nAnswer: 15 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(1872)*1*-6 - (-4 + (sqrt(1872)*-1 - sqrt(1872)))) + 2*(4 + sqrt(1872) + -1))**2*-6.\nAnswer: -46104 + 4032*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3462797 or -3462796?\nAnswer: -3462796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/2475 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -7*c + 2*c. Suppose 5 + c = 4*b. Suppose y = 4*y. Solve y = -4*r - b - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**2 - 2*h**3 + h**2 + (-60 + 60 - 26*h)*(h - h**2 - h) + (2*h**2 + 0*h**2 - 3*h**2)*(-4*h + 4*h + 2*h).\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 4:33 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1849 (base 13) to base 9.\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 + 337*g**2 - 2*g - 2. Let a(x) = 2*x**3 + 336*x**2 - 3*x - 3. What is 4*a(n) - 6*t(n)?\nAnswer: 2*n**3 - 678*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of 5*l**2\/2 - 202. Let u(v) = -56*v**2. Determine u(s(n)).\nAnswer: -1400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2*y**2 + 34*y + 3. Let w be g(-17). What is the units digit of -1*w\/6 + (-24186)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 8*v**2 - v - 16. Let b be j(4). Suppose 88*h + b = 94*h. What is the third derivative of -21*f**2 + 9*f**3 + 9*f**3 - 19*f**6 + f**3 - h*f**3 wrt f?\nAnswer: -2280*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -2*t**2 + 8*t - 8. Let b = 13 - 21. Let q(s) = -s**2 + 3*s - 3. Calculate b*q(d) + 3*j(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + 3. Let w = 1 + t. Calculate the greatest common factor of 63 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 105*m**2 + 4*m - 3. Let s = 35 - 37. Is n(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wvvlwlllwvllvvwlvll. Give prob of picking 2 w.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/6)\/((-4)\/12)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*l + 2*l**3 - 15*l + 30*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -1*(3 + 0 + sqrt(171)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 - 10. Let x(d) = -d**3 + 3*d**2 - d - 2. Let q be x(2). What is b(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.05, -3, -5.\nAnswer: -5, -3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.11 and 52672.\nAnswer: 52671.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -915\/7 + 131. Let k(m) = 5*m + 1. Let f be k(1). Suppose -2*g = 5*l + 6, -f*g + 3*g - 9 = 5*l. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyooooyyoyjoyo. Give prob of picking 2 y and 1 j.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -101001111000 (base 2) in base 3?\nAnswer: -10200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of -1\/40*n**5 + 1\/84*n**7 + 1\/60*n**6 + 0*n**2 + 0 - 1\/24*n**4 + 0*n**3 + 5*n. Let i(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bebwwwbwwbwwe.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -174*(1 + (-15)\/10)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (19 + -5) - -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1876, -2283, -2690, -3097, -3504?\n\"Answer: -407*m - 1469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -164.901897 rounded to the nearest integer?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2287895817 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 448380.2901 rounded to the nearest one thousand?\nAnswer: 448000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 15407870587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4\/7  (b) -24  (c) -4  (d) 0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/4 - (-31)\/(-2). What is the units digit of (i\/(-6) - 2)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 144*g**2*v**2 - 463*g**2*v - 3*g*v wrt v.\nAnswer: 288*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*15\/225)\/((-2)\/(-24)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-6))\/((-29)\/(4350\/175)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 106843 and 100309?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 4) + 0 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 13 = 3*c, 0*c - 3*r + 12 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 295 is divided by 38\/(-30)*-7 + (-40)\/(-300)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 34220 and 36390.8036?\nAnswer: 2170.8036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -49311 divided by 5479?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8056287 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*y - 4 + 14*y - 3*y)*(2*y - y + 6*y) as b*y + k*y**2 + u and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11 or 0.01?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*y = 59*y + 12. Let o = -58.8 + 59. Put y, o, 0.1 in descending order.\nAnswer: y, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34 - 30 - (6 - (-3 + -1))) + 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 46.1 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 617173930 + 10*g - 617173930.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 93 = -47*a + 49*a, 0 = 5*a + 30. What is the remainder when 10728 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -516\/4001, 1\/27?\nAnswer: -516\/4001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -195961116*y**4 + 118290033*y?\nAnswer: -2351533392*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 447*z = 466*z - 988. What is the remainder when z is divided by ((-54)\/4)\/((-4)\/8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*2*-5 - sqrt(88))\/(1*sqrt(968)) - (-5 + -1*sqrt(33)\/sqrt(3) + sqrt(11) + sqrt(11) + -6*(sqrt(11) - sqrt(44))).\nAnswer: -8*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/47, 2\/3, 11\/5, 0, -4\/7?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 - 16. Suppose -4*b - 40 = -2*o, -2*b - 107 = 5*o - 111. Solve -4*g + 17 = r, r + o*r + 5*g = c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 46 and 24?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 7 - 0.7567\nAnswer: 6.2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*j - 67*j + 202 = 0. Let p = 283 - j. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1612 - -65?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 848 and 6413?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - 3*t + 4*t)*(-3*t**4 + 2*t**4 + 0*t**4) + (-11*t**3 + 0*t**4 + 6*t**3 - 2*t**4)*(2*t + 1 - 1).\nAnswer: -5*t**5 - 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1258 and 1598?\nAnswer: 59126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 5*-1577.9019\nAnswer: -7889.5095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i = -4*i - 96. Let c = 27 - i. Let m(p) = -3*p - 5. What is m(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 15*s - 51. Calculate d(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + -13. Let h = q - -8. Let r = -0.04 - 3.96. Which is the nearest to 0?  (a) r  (b) h  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 - 4*y - 60. Let v be i(0). Let g be (v\/(-9))\/(2\/12). Suppose 3*q - 5*q + g = 0. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67763?\nAnswer: 67763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 10 = 5*z, 135*z + 12 = -j + 138*z for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 6*i - 13. Let k be 1*7\/(0 - -1). Let m = k + i. Solve 5 + m = 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 + 69 - ((-10 + -4 - -1) + 17)) + 5.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -223*b = -227*b - w - 29, 3*w + 15 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*w - 12*w + 44. Suppose 8 = -2*g, -3*m + 5*g - 30 = -m. Let b = w - m. What is the greatest common divisor of 33 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*t**3*z**3 + 17*t**3 - 7*t**2 - 6*t + 142*z**3 wrt t.\nAnswer: -12*t*z**3 + 102*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3006 + 3006 + 9*w**3 - 26*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 67037.5 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyqyqqqqqqkqyyyqqy. Give prob of picking 1 k and 2 y.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b + 0*b + b)*(-1 + 1 - 2) + (-3 + 0 + 2)*(-355*b - 226*b + 173*b).\nAnswer: 406*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3 + -9 + (1 - -12) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 635395, 635391, 635397, 635419, 635463, 635535, 635641?\nAnswer: 635787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88068411*j**2 + 44034204*j**2 + 44034215*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**2 + 11*j - 15. Let g(i) = -6*i**2 - 32*i + 42. Let q(b) = 5*g(b) + 14*s(b). Factor q(t).\nAnswer: -2*t*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -39 + 30 + -2 + 12. Put d, -23, -1 in decreasing order.\nAnswer: d, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -5*t**2\/3 + 643925*t\/3 + 429290 = 0.\nAnswer: -2, 128787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 171952622 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - x + 20 = 0, 11*k - 4*x - 30 = 13*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*b + 2*b**3 + 19*b - 44*b + b**2 - 1 in the form r + m*b**3 + u*b**2 + c*b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + 4*r**2 + 4. Let b(y) = y + 20. Let i(x) = -10. Let u(s) = -2*b(s) - 5*i(s). Let z be u(7). Let c be z + 6 - (-1 + -1). What is h(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1791461 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1757369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 0 - 6 + 2 - 137*i.\nAnswer: -137*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-10)*(-23)\/((-138)\/(-1620)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -940*d - 11126 - 46874 = -104*d + 164*d for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = 17*t - 53 + 26, 0 = t - 3*n - 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ab15 (base 16) to base 4\nAnswer: 22230111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -28, -46, -68, -94, -124, -158, -196?\n\"Answer: -2*j**2 - 12*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.1288 - 6.1288. Which is the fourth biggest value?  (a) 5  (b) z  (c) 1.2  (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 6*d - 5. Let c(y) be the first derivative of 25 + 9*y - 11\/2*y**2. Suppose -4*w + 5*g + 24 = -6*w, 0 = 5*g + 10. Give w*m(x) - 4*c(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10781 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 594379161 to the power of 1\/2, to the nearest integer?\nAnswer: 24380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-116)\/6)\/((-40)\/60). Let h(u) = -6*u**3 + 4*u**2 + 2*u - 2. Let f be h(-2). Calculate the greatest common divisor of f and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 133 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-794)\/(-4) - (-18)\/12. What is the highest common factor of r and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 104 - 96. Which is the second smallest value?  (a) 2  (b) t  (c) 3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-4)\/10)\/(176\/340) and 5\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 AM and 11:02 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -49749, 0.3, -1, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, u: 1, g: 1, l: 2}. Give prob of sequence ue.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a - 2*s - 12, -3 = 6*a - a - 4*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -529439*c = -527015*c - 118776 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -27*x**2 - 21*x**2 - 11*x**2 + (-2*x + 4 - 5 + 0*x)*(-x + 0*x - 3*x).\nAnswer: -51*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -51, -154, -315, -540, -835, -1206?\n\"Answer: -u**3 - 23*u**2 - 27*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from bofbdqdw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 + 6*s + 6. Let k be a(-4). Solve 2*u - 4*v = k, 2*u + 2*v + 3 = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 169239035 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + 21\/15 + 6\/10. Suppose -14*m + 9*m + 15 = h. Solve j - 3 = m*s, -2*j = -7*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*h = -6*h + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-1\/2)*o**(-5))**(13\/5)\/(o**(-5\/2)\/(o*o**0))**(-28) assuming o is positive.\nAnswer: o**(-1071\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -74580 - 20420. Round r to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/5))**(2\/19)\/(i**(8\/5)\/i**(3\/5)) assuming i is positive.\nAnswer: i**(-99\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + 5*n - 39, q - 4*q = -n - 15. Suppose 31*f = 33*f - q. Solve -3*v + 2*r - f = 0, 3*v - 2*r + 1 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*i**2 - 65*i**2 + 2 - 2 - 18*i**3.\nAnswer: -18*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 49681988?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of -19*h**8\/336 + h**4\/12 + 9*h**2. Find the second derivative of y(d) wrt d.\nAnswer: -380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 388739.\nAnswer: 13, 17, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 - 9*x**2 - 11*x + 15. Let a(t) = -t + 17. Let k be a(7). Let y be f(k). Solve 3*b - 31 + 0 = 5*r, y*b - 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 17 = -0*y - y, g + 5*y = -21. Suppose -d - 84 = -g*d. Let n = -18 + d. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 495, 1811, 4405, 8703, 15131, 24115, 36081?\nAnswer: 51455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9991373507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3*f = -0*k + 261, -5*k + 1275 = 5*f. Find the second derivative of -19*x**5 - 4*x + 252*x**4 - k*x**4 + 3*x - 13 wrt x.\nAnswer: -380*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -5331922.\nAnswer: 5331919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 92*31\/11408*-308\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(405) - (1 + sqrt(405)))**2 + sqrt(405))*4.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8.92?  (a) 2  (b) -0.06  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**2 - 5*b + 9. Let o(j) = -6*j**2 + 14*j - 28. Let q(c) = -20*i(c) - 6*o(c). Suppose q(x) = 0. What is x?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 4*a = -5. Suppose 187*x - 200*x = 0. Solve p + x*p = a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, 122, -1 in ascending order.\nAnswer: -5, -3, -1, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 706 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -20*o + 3. Let y(a) = -759*a + 115. Let d be (-12)\/8*((-9)\/(-3) + -1). Let r(i) = d*y(i) + 115*k(i). Let x(b) = b. Give r(x(u)).\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/73 in 0.4, -3\/2, -2, -1.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2939 - 2952) + 1 + -1 + 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a factor of 3927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2706 = -2451. What is the third smallest value in -0.3, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 353, -0.4 in decreasing order.\nAnswer: 353, -0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-9*60\/(-216))\/((-75)\/(-40)*2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 3*p = -7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 153 divide 11183688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1127 and 950012.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-14) - 10\/35. Let j = 432 - 432. Solve -3*w + 9 = j, b = -4*k - 2*w - 2*w + 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8702073 - -24?\nAnswer: 8702097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-27))\/(4\/18).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 3346 = -21*h. Let r = -222 - h. What is the remainder when 1 + 1 + (2 - -95) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 2*b - 160 = 0, 4*t - 5*t + 44 = 2*b. Suppose 4*r = 130 - t. Solve -4*h + r = 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 180, 292, 284, 120, -236?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 73.45 + -73.4496377. Round g to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*(2 + -1) + 5. Let s = 6 - f. Determine q, given that 4*q + s - 2 + 2*q**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -10) + 24 + 15 + -40.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 7:32 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 98*c - 1534 - 94*c + 1526.\nAnswer: 4*c - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -74, -187, -360, -623, -1006, -1539, -2252, -3175?\n\"Answer: -5*h**3 - 78*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7\/(63\/124) + (-2)\/(-9). Solve 19 = -d + y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -420219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 146 divide 341932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -24634, -24638, -24642, -24646?\n\"Answer: -4*w - 24630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 11*f - 65845. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from zdzoozxxdzd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -144.1 + 137. Let z = s - -7. Let b = 44.5 - 44. Sort b, 5, z in decreasing order.\nAnswer: 5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*t**3 - 1046038669*t + 1046038669*t.\nAnswer: -33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.2 + 3. Let c = -1.7284 - 1.2716. What is the closest to b in c, 1\/3, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kjm when three letters picked without replacement from cmujk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -1, -194 in decreasing order.\nAnswer: 5, 2, -1, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 161346 - -4?\nAnswer: 161353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 l when three letters picked without replacement from jljlxlxlvjbl?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -5*w + 3. Suppose 4*f + r - 10 = -2, -5*f - 5*r - 5 = 0. Let b(k) = 6*k - 64. Let m(h) = 12. Let a(x) = -b(x) - 5*m(x). Calculate f*a(u) - 4*i(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2861.75+-2445603974\nAnswer: -2445601112.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 5*f + 701750 = 0, 3*l = 63*f - 64*f + 421044. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2\/591 - 1196\/4137. Let a be 1\/((-7 - -40)\/11). What is the nearest to u in a, -6, -3\/5, -0.7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of (-2)\/(-4) + (-2390)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001101011 + 1?\nAnswer: 10001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/12 and 5\/786.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -0.09  (c) -1  (d) 2464  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-564)\/20 + 17 - (-1)\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u**2. Suppose -13 = -2*l + 2*q + 27, 0 = 4*l - 3*q - 78. Suppose 3*f - l = -6. Let y(t) = -5*t**2 + f*t**2 + 2*t**2. Give s(y(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + -15 + (2 - (-4 + 6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1434 and -0.8695.\nAnswer: -0.1246863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 1. Let n be (-1)\/5 + x\/(-2). Let j = -113 + 1131\/10. Sort -3, n, j.\nAnswer: -3, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 741611173?\nAnswer: 19, 39032167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/32)\/((-4753)\/476 + 10).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 10:17 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43 - 21. Calculate the greatest common factor of y and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 5002*f**2 + 0 + 7*f - 3009*f**2.\nAnswer: -8011*f**2 + 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*f**3*x**3 - 3959*f**3 - 156*f*x**3 + 2*f*x**2 - 1648*f*x + 2*f + 305*x**3 wrt x.\nAnswer: 66*f**3 - 936*f + 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2147*r**2 + 5 + 2244*r**2 - 6*r**3 - 4395*r**2. Let s(c) = 1 + 3*c**2 + 5*c**3 - 3 - 3. Determine -4*s(p) - 3*z(p).\nAnswer: -2*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7520.1165 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1211*c - 1206*c - 65. Calculate the remainder when 140 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -137.919 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1549)\/12392)\/((-66)\/16)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w**2 + 9*w**2 - 6 + 9*w**2 - 2*w + 9*w**2 - 28*w**2 as h*w**2 + l*w + f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v**3 + 0*v**3 - v**3 + (v**2 + 0*v**2 + v**2)*(-2*v + v - v) + (3*v - 3*v - 11*v)*((v - v - v)*(2*v - 3*v + 2*v) + 5*v**2 - 4*v**2 + 2*v**2).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**3 + 43*k**2*v + k*v - 16*v wrt k?\nAnswer: 12*k + 86*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*z, 0 = -2*f + 5*z - 9 + 27. Find the first derivative of -2 - f + 6*g**2 - 4 wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -3 + 12. Is (-12 - (-9)\/3)*r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 + 2*z**2 + 1. Let r be q(-2). Let h(c) = -3*c + 3. Let s(k) = 5*k - 4. Let j(a) = 7*h(a) + 5*s(a). Let v(o) = -o. Give r*j(d) + 6*v(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -510 + 586. What is the remainder when 175 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -11. Let c(z) = 2*z + 2. Let h be c(-2). What is the third biggest value in h, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of v**4\/14 - 3*v**2\/7 + 4*v\/7 + 7. Determine n, given that m(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z + 11. Let j be i(14). Let p be ((-96)\/(-10))\/3 + j. Which is the third smallest value?  (a) -7  (b) p  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + 9*j**2 - 42*j - 376. Let y be m(-9). Solve 0 = -y*t - 4*v - 14, 12*v - 11 = 5*t + 14*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -780*z**3 - 165*z + 165. Let v = 1688 - 1853. Let j(r) = -19*r**3 - 4*r + 4. Calculate v*j(s) + 4*w(s).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/((-85)\/(-510)*(-2)\/(-6)). What is the greatest common divisor of 68 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4286?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 5*f + 19, 18*f - 19*f = -2*n + 11. Let w be 792\/73*(-1)\/(-21). Let h = 4\/73 + w. Which is the biggest value?  (a) f  (b) 2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/69 and 41\/22377177.\nAnswer: 514675071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 - 1 - 17*h + 9 - h**4 + 1 + 6 + 5*h**3 to the form k + z*h**2 + q*h + t*h**4 + r*h**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.72 to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 9, f: 9}. What is prob of picking 3 f and 1 x?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -3. Suppose 5*k = -290 + 275. Let a(i) = -i**3 + 2*i**2 + 2*i + 3. Let c be a(3). Sort k, s, c in increasing order.\nAnswer: k, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7585 + -7581. Let h(s) be the third derivative of -1\/8*s**6 + 0 - 1\/4*s**q + 0*s + 0*s**3 + 0*s**5 + 39*s**2. Find the second derivative of h(c) wrt c.\nAnswer: -90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/5  (b) 25513  (c) -1\/3  (d) 1\/9  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 99546238 to the power of 1\/3, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + (-3 - (675\/(-21))\/5). Let r = 0 - 0. Which is bigger: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4266 divided by 2?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -17292 + -4?\nAnswer: -17296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -922, -902, -868, -820?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 210284297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 782 + -486. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 134124 (base 16) to base 3.\nAnswer: 2101002221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 16 + 8*b + 12*b + 9*b - 22 + 2*b**2 - 25*b - 2*b**3 as m*b + p + g*b**3 + t*b**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 - 109*q + 5393. Let v be k(-144). Calculate the highest common divisor of v and 353.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 53*x**2 - 29*x - 3. Let q(y) = 29*y**2 - 15*y - 2. Let t(w) = 6*b(w) - 11*q(w). What is t(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -290 - -9572\/33. Let z(c) be the first derivative of -1\/11*c**2 + 2\/11*c - 4 - a*c**3 + 1\/22*c**4. Suppose z(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (6\/12)\/(((-310)\/(-180))\/31).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 1. Solve -2*g - 8 = 2*g + 3*h, -g - 4*h - x = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o + 2. Suppose 18 - 3 = -5*l + 5*t, -5*l + 4*t - 12 = 0. Let k = -1 - -6. What is the remainder when k is divided by h(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12684 divided by 1812?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**9)\/x)**(-6\/7)\/(x**(3\/10))**(-4\/15) assuming x is positive.\nAnswer: x**(1364\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 + (2\/(-6) - (-4)\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324534 (base 6) in base 10?\nAnswer: 26986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 36\/(((-5)\/4)\/(172300\/(-160))) - 7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7042289047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1926 - 1898. Calculate the least common multiple of 14 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1dd236 + -1?\nAnswer: 1dd235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 12, m: 2, c: 4, e: 2}. What is prob of sequence ec?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -255, 44, 343, 642, 941, 1240?\n\"Answer: 299*r - 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 404 = 4*i, 4*i + 2*j = 3*i + 92. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -92*j - 2. Let a(w) be the first derivative of -4*w**2 - 1459. Give a(s(i)).\nAnswer: 736*i + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.7 + 0.3. Suppose 3*z - r + 79 = 0, 3*r = 3*z - 2*r + 83. Let t be (-4)\/z + 400\/104. Which is the second smallest value?  (a) p  (b) 5\/2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-63 - -70) + (-5)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 273\/(-14833)*34\/51?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of -1\/20*h**5 + 0 + 3\/2*h**2 + 5\/6*h**3 - 10*h + 1\/4*h**4. Determine p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15034 + 10*u + 15034)*((1 + 2 - 1)*(4 + 0 - 3) + 2 - 2 - 2 + 4 - 3 - 2 + (-2 - 4 + 4)*(3 + 2 - 3) - 1 + 4 - 5).\nAnswer: -70*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/3 + (-8)\/4. Let l(n) = -n - 1. Let d be (-111)\/39 - 36\/234. Let x(y) = 6*y + 3. Calculate d*l(b) + t*x(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/6 and 17\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 21850.\nAnswer: 131100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/3 - 2 - 1. Let k = q + 9. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16\/48 - 1*(-17)\/21. Let s be (2 - 2 - 1) + 4. Let y = s + -2. Is b at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3745 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1421 - 3?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*b**2*f**2 + 511*b**2 - 5058*b*f**2 with respect to f.\nAnswer: -4*b**2*f - 10116*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 187 a factor of 698922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 88 in -4, 0.2, 1\/4, -4\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/1229598 and -113\/2459196?\nAnswer: 2459196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - z = -2*z - 190, 4*a = -z + 143. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10075 and 45539?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*n**4 + 105*n**3 - 1152*n**2 + 2133*n - 324 = 0. What is n?\nAnswer: -12, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -30*s. Let k(c) = -8719*c**2. Calculate o(k(y)).\nAnswer: 261570*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 966641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.94935 rounded to 1 decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 5:41 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 9*w**4 - 15*w**3 - 66*w**2 - 3*w - 6. Let c(o) = 16*o**4 - 29*o**3 - 131*o**2 - 5*o - 10. Let a(b) = -3*c(b) + 5*u(b). Factor a(s).\nAnswer: -3*s**2*(s - 7)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 80 + 5*h + 96*h**2 - 96*h**2 + 472*h**3 - 111 wrt h.\nAnswer: 2832*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29715 divided by -3\nAnswer: 9905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(132)\/sqrt(4)*3)\/(-5*-3*sqrt(3)*-3)*-6.\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/6*387\/129\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*l - 10*l - s + 11, -3*s + 61 = 5*l. Solve -o + 3*c = l, -c + 9 - 3 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s*s**15\/s*s)\/(s*s*(s*s**(-4\/13)*s)\/s)*s**(-23)\/s*s\/(s\/(s**(1\/17)*s)))**(-28\/3) assuming s is positive.\nAnswer: s**(47236\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6 + 4 + 85 + -3. Calculate the greatest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/14 - (-207)\/(-567). Suppose -5*c - 2 = -6*c. Let q be c*(1 + 0)*(-1)\/2. What is the nearest to -3 in -0.4, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17899, 35881, 53851, 71803, 89731, 107629, 125491, 143311?\nAnswer: 161083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4515051199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-4 + (sqrt(192) + sqrt(192) + (sqrt(192) - (sqrt(192) + -1 + sqrt(192) + -1)) - sqrt(192)) + 4 + sqrt(192)*-2 + sqrt(192)))**2.\nAnswer: -288*sqrt(3) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15 + 17. Let m(g) = -g - 2. Let l be m(-6). Suppose -6*d + k*d - l*w + 7599996 = 0, -5*w = 5. What is d rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 337, 10, -0.5, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17573603693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 2:20 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 12230010 divided by -4076670\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 62464 and -0.2?\nAnswer: 62464.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0604 + 321.9396. Let x = -322.746 + n. Round x to 2 decimal places.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195947417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.045 in 4, -1\/7, 2.1, -8, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 - -43. Let y = -40 + w. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 49 + -55. Find the common denominator of 63\/8 and (a - 84\/(-15))\/(8\/(-550)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*r = 61*r + 850 + 990 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -176869, -0.2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1291195*w + 645599*w + 645594*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 PM and 12:17 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*h**4 + 2*h**2 + 9*h**4 - 3*h**3 + 9*h - 8*h in the form t*h + b*h**4 + u*h**3 + l*h**2 + y and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.004  (b) 3  (c) -0.87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 + 8. Let n = 2 + u. Let r = -6 - n. Which is smaller: -0.6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -67 + 1. Let v be (-26)\/117 + ((-580)\/(-18) - -1). What is the greatest common divisor of v and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 3*k = 69, 8*u - 23 = 771218*k - 771219*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 10. Solve 2*f = -2*t + 12, -2*t - 2*f + d = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 236 and -6162.52.\nAnswer: -1454354.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-16)\/(-10))\/((-1)\/((-50)\/4)). Let d be 852\/15 - -1*4\/i. Let y = d - -76. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101935366 to the power of 1\/2, to the nearest integer?\nAnswer: 10096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.9, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3*u + 1 - u)*(6 - 6 + 3*u).\nAnswer: 6*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 9898*m + 29682. Determine y(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/2 + 0\/4. Sort 1, -4, j in decreasing order.\nAnswer: 1, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*f + 8*f - f + 2*f + 4*f - 4*f + f - 2*f - 2*f + 2*f - 4 + 4 + 4*f - 2*f - 4*f + (-f - f + 0*f)*(1 - 3 + 3) - 2*f + 1 - 1.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -504, -1\/4, 6\/23, -0.0544 in decreasing order.\nAnswer: 6\/23, -0.0544, -1\/4, -1, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - m + 472 = 0, 7*c + 952 = 5*c - 2*m. Let p = 120 - c. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 7. List the prime factors of 605\/25 - 2\/u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-53)\/(-36) + 285\/(-228)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -44, -111, 1, 10 in decreasing order.\nAnswer: 10, 1, -1, -44, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of 1\/9*o**6 + 5\/6*o**4 - 3 + 0*o**2 + 4\/9*o**3 + 8\/15*o**5 + 0*o. Solve q(w) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 + (-4 - -1 - -10 - (-7 + 9))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 288593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 2*b - 32. Suppose j - b = -2*s, -s + 4*s - 12 = 2*j. Suppose 3*i - 5*d = -5, 5 = -5*i + 5*d - j*d. Which is greater: 9\/4 or i?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 8:34 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(3\/35)*k\/(k*((k**18*k)\/k)\/k)*(k\/k**(-2)*k)**(7\/2) assuming k is positive.\nAnswer: k**(-102\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*g + 7 = 281, -2*v = -4*g - 270. Solve 79 = -6*f + v for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36*w**2*z**6 + 3*w**2*z**3 - 3*w**2*z**2 + 3*w**2*z - z**2 wrt z?\nAnswer: -4320*w**2*z**3 + 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 141 * 701\nAnswer: 98841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*c = 27*c + 36. Solve 2*u - c = -2*r + 9, 4*u - 5*r + 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 112, 229, 348, 469, 592, 717, 844?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 - 6*c**2 + 6. Let s be (-13 + 14)*(1 + 3 + -8). Give v(s).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405299710 to the power of 1\/2, to the nearest integer?\nAnswer: 20132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7330 - -7329.9. What is the closest to -2\/3 in -5, 3, t, -122?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11111100012 - 10222220?\nAnswer: 11100100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 5*g**2 - 1. Give o(-6).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 195 - 191. Calculate the highest common factor of 7 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 2 - 69)*(-31612*q + 31612*q - 359*q**4).\nAnswer: 22617*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 45769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -8*k + 1. Let i(s) = 40*s - 28. Let h(u) = -3*f(u) - i(u). Let m(d) = 3*d - 5. Give -2*h(n) - 11*m(n).\nAnswer: -n + 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Is -961777 less than -961777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + (sqrt(192)*-1*-5 - (sqrt(2352)*-1 + 5)))*4 + 5)**2.\nAnswer: -14688*sqrt(3) + 222681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + -1. Let w be -2 - 4*(-6)\/f. Solve w*m = -r - 5, -2*r + 5 = -3*r + 5*m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101000 (base 3) to base 5\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of 9\/5*o**5 + 0*o**2 + 5\/3*o**6 - 1 - 2\/3*o**3 - 3\/4*o**4 + 0*o. Suppose u(b) = 0. Calculate b.\nAnswer: -1, -2\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 0*d + d + 15 = 0, v + 6 = 2*d. Let i(l) = -l**3 + 4*l**2 - 4*l + 6. Give i(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001860812726 to 5 dps.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 483 = 5*t - 4*t. What are the prime factors of t?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - -2. Suppose h - 17 - a = 0. Solve 0 = 4*o + l + 35 - 10, h = o - 5*l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*b**3 + 13*b + 22*b**3 + 0*b + 3 + 24*b - b**2 - 2 in the form v*b**3 + s*b**2 + t*b + y and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -354716, 11, 7 in descending order.\nAnswer: 11, 7, 3, -4, -354716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-8\/5)*a*a*a**(-3))**(-43) assuming a is positive.\nAnswer: a**(344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.05 in -3, 0.3, -1, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*t - 962 = 46*t. What are the prime factors of t?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 13*w**2 - w - 42. What is the hundreds digit of p(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1.5, -0.1, -17, 0.3, -246?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 7.74. Let o = h - -0.2551. Round o to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 659582 divided by -329791?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven sixteenths of a day?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from quvspqupppqp. Give prob of picking 2 q and 2 u.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 - 91*g**2 - 29*g + 75. List the prime factors of b(-91).\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000061601 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**10)**(-3\/50)\/((g*g*g*g*g**(-5\/6)*g*g)\/g)**(-8))**(2\/29) assuming g is positive.\nAnswer: g**(169\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 6876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 55 - 230. Let n be (-780)\/i + 2\/(-7). Solve -n + 2 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 1)*(11*y**2 - 10*y**4 - 11*y**2 + (-2*y**3 - 2*y**3 + 3*y**3)*(53*y + 42 - 42)).\nAnswer: 63*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j - 1. Let z(h) = 3*h**2 + 2*h - 2. What is 4*n(g) - z(g)?\nAnswer: -3*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/13982 and -37\/22.\nAnswer: 153802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 42*v - 11160368 - 18471514. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2239 divided by -64736?\nAnswer: 2239\/64736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000194618 rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -3*o - 1. Let h be q(-2). Let v be 497\/h - 2\/5. Let j be -1 + (2 - 2) - -10. Calculate the greatest common factor of j and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.04 - 0.4. Let h = 0.16 + c. What is h rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/21)\/(852\/852).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3179 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -3*k + 53. Let p be x(20). Let i be ((-9)\/15)\/(p\/245). Let j = -7 - -11. Solve -5 = -j*f - i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -6*o - 244. Let f = 260 + o. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of r**4\/12 + 11*r**3\/6 + 17*r**2\/2 + 7*r. Let j be n(-2). What is the units digit of (5 + j - 131)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 178, 1451, 4954, 11815, 23162, 40123, 63826?\n\"Answer: 188*j**3 - 13*j**2 - 4*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15949372423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -909 + 910. Let d = 43\/294 + 1\/49. Let k be (-2 - -1) + (-25)\/(-23). Put -1, k, d, g in ascending order.\nAnswer: -1, k, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 550491\/16 or 34406?\nAnswer: 550491\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-11)\/(-3) + 10\/(-15). Suppose -4*j = -l*r - 27, 34 - 11 = j - 4*r. What is the derivative of 5 - w - 5 - j wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119062003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 5. What is the tens digit of (-4)\/(-6)*(36 + b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 196002413 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/439, 0.1, -4, 7\/2, 0, 1\/2?\nAnswer: 3\/439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 8*s - 1. Let b(x) = -x**3 - 8*x**2 - 2*x - 5. Let i be b(-4). Let d = i + 62. Let u(o) = -o. Give d*y(j) + 6*u(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1180 divided by -590?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-5)\/(75\/10)*(-15006)\/(1 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -6*z + 2*z + 3*z - 3*z. Calculate f(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -9050669*g - 3 + 9050667*g - 2. What is p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 42*f + 160. Let j be m(-4). Is -20\/3 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -4387*y**2 + 205*y. Let b(d) be the third derivative of -43*d**5\/60 + d**4\/12 - 6144*d**2. Give -205*b(n) + 2*x(n).\nAnswer: 41*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 192.3 + -194. What is the closest to 3 in n, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 839\/66392 - 3\/193. What is the common denominator of c and -37\/6?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -165569, -165576, -165583, -165590?\n\"Answer: -7*s - 165562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m*m**(-3\/10))\/m)\/m)\/(m**(-7\/3)*m))**(-7)*((m**12*m)\/((m*m**(-10))\/m))**24 assuming m is positive.\nAnswer: m**(16553\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 10, 5, 0.5, -2, -50, 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a - 1. Let k be v(-5). Is (207\/k + 1)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1550*z**2 - 657*z**2 - 881*z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - w = 1. Let u = w + 7. Calculate the highest common divisor of u and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 - o**2 + 165. Let u be j(0). Suppose 3*g - u = -2*g. Calculate the greatest common divisor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeekkkeeke. What is prob of sequence ekek?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*a**3*z**2 - 16*a**3*z - 3*a**3 + 8*a**2*z - 294789*a*z**3 + 31 wrt z?\nAnswer: 14*a**3 - 1768734*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 531693*z**5 - z**3 - 1640063*z?\nAnswer: 10633860*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 58*v - 2*v + 11*v + 64*v + 2*v as a + h*v and give h.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -353, -337, -321?\n\"Answer: 16*g - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (30 + -25 - 16) + -47 - (0 - 1 - 1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 22*v**3 + v**2 - 5*v + 9. Let g(k) = 23*k**3 + k**2 - 4*k + 8. Let s(w) = -5*g(w) + 4*h(w). What is the derivative of s(a) wrt a?\nAnswer: -81*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2682.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8 + 1 + 4 + 8*o**3 - 19*o**3 wrt o?\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15646*i = 15660*i + 56 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -5*y + 8. Let v be m(2). Is (-680)\/(-5) - (-2 + v) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -257 + 267. Solve g = -q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.4272558 rounded to 3 dps?\nAnswer: -6.427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -928 divided by 2\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - ((-5 - (17 - (-1 - -9))) + 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {c: 1, p: 4, u: 2}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -1. Let v(q) = -5*q - 32 - 10 + 12. Let s(p) = -30*i(p) + v(p). Let r(g) = 6*g. Determine 4*r(d) + 5*s(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {d: 1, n: 2, m: 2, l: 1, j: 2, u: 5}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.01655 and 690?\nAnswer: 690.01655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**3 - 105332*b**2 - 210670*b - 105336 = 0. What is b?\nAnswer: -1, 52668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/56 - 42\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4703*d**3 - 4 + 2390*d**3 + 5 + 2357*d**3.\nAnswer: 44*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -327, -653, -977, -1299, -1619, -1937?\nAnswer: -2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2837 divided by -3\nAnswer: 2837\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/2 and (-29)\/100 + -1 + (-1)\/4.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 - 3*p + 2. Let v(u) = -4*u - 15. Let q be v(-5). Let z(l) = -2*l**2 - 5*l + 3. What is q*x(c) - 3*z(c)?\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1146 + -0.0854. Which is the biggest value?  (a) y  (b) 137  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i**2 - 54*i + 16. Let w be o(-18). Suppose -g + 7 = 3*f, -9*g - w = f - 5*g. Calculate the smallest common multiple of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r + 17. Determine s(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -40 by -9.\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 21 = 5*v, 3*j - 384*v = -387*v - 9. Let a(t) = t**3 - 12*t**2 - 10*t - 11. Let s be a(13). Solve 0 = -q - 3*i + 11, 2*q - 6*i = -j*i - s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00102027 to 6 decimal places.\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 20  (b) 253\/5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2777*z**2 + 2317*z**2 - 3584*z**2 in the form q*z**2 + u + m*z and give q.\nAnswer: -4044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 24 = -2*l + 29, 0 = -2*l - 5*q + 25. Let p(t) be the third derivative of 0*t + 0*t**4 - 1\/60*t**5 - 7\/6*t**3 - 9*t**2 + l. Give p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of -55*z**3\/6 + 54*z**2 + 28*z. What are the prime factors of g(-6)?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000317067 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 76 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2994317266?\nAnswer: 2, 47, 577, 55207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18 - 19. What is the remainder when 31\/c*(-1)\/1 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2716830941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142*w = 145*w + 4 - 1. Sort -49, 5, w, -5 in descending order.\nAnswer: 5, w, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21 by 3564359.\nAnswer: -21\/3564359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 3*i = -0*i + 14, b - 13 = -3*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 55661*j**3 - 30585*j wrt j?\nAnswer: 333966*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/9)*p*p*p\/p**(-1\/6))\/(p**(2\/5))**(-15\/7) assuming p is positive.\nAnswer: p**(535\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*a**2 - 2 + 17*a - 17*a**2 + 9*a**2.\nAnswer: -2*a**2 + 17*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 66 + 4. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -7*y**3\/3 + 3*y**2\/2 - 3*y + 25. Let d(c) = 21*c**2 - 8*c + 8. Determine -3*d(r) - 8*o(r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -c**5\/20 + c**4\/4 + c**3\/6 - c**2 + c. Let u be v(2). Find the third derivative of -b**2 - b**6 - b**6 - 4*b + u*b wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 3*j - 1. Let d be x(-1). Let v(k) = -4*k + 29. Let t be v(d). Calculate the greatest common factor of t and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*6*6*(-5 + sqrt(76) + sqrt(76)*2*6) + 2)**2.\nAnswer: -340704*sqrt(19) + 16678948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 582492 is divided by 7861?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -26, 416 in increasing order.\nAnswer: -26, 4, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 926 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -634 and -0.2?\nAnswer: 126.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 - 3*m**2 + 4*m + 2. Let c be j(-4). Suppose c*k - 90 = -3*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 + 8\/(56\/(-35)). Let y(n) = -n**2 - 4*n + 4. Let z be y(-5). Put z, a, -12, -5 in descending order.\nAnswer: z, a, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {r: 2, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -556, 826, 4086, 9224, 16240, 25134?\nAnswer: 35906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -71*d + 17*d**2 + 71*d + (-5*d + 3*d + 4*d)*(-2*d + 6*d - 2*d) + 6*d**2 - 2*d**2 - 3*d**2 + d**2 - 3*d + 3*d.\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - h. Suppose 3*a - 10 = 5. Suppose -a*x + 0*x + 170 = h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -530*f + 4036 + 4974 = 0 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 - 18. Sort 0.4, q, -1\/6.\nAnswer: q, -1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1062 (base 11) to base 7\nAnswer: -4036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -5*r. Let s(x) = -x**2 + 2*x. Let z = 1 + 2. Let w(b) = b**2 - 3*b. Let n(g) = z*s(g) + 2*w(g). What is n(q(y))?\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7492051 minus -3339?\nAnswer: 7495390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*2 - (-80)\/45. Which is the nearest to -2?  (a) -0.4  (b) k  (c) 4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 7\/16  (b) 5  (c) -3\/2  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*b - 11*b + 2. Let l be ((-25)\/(-15) - b)\/((-1)\/63). Solve 1 = -5*a + l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2202 divided by 2202.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3411129*w**5 + 548680*w**2 - 2*w wrt w.\nAnswer: 204667740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 + 22. Let t = v + -4. Is 10 a factor of (14 - 3) + (-2 - t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 13 = -c, -c = 4*z - 3*z + 13. Which is smaller: c or -0.05?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 9}. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 153291 and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 PM and 9:33 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2\/3 - 77*q\/3 + 414.\nAnswer: (q - 54)*(q - 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - -2. Let x = 13\/3 + -23\/6. What is the nearest to 0 in x, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -2*g - 10, 0 = -0*r - r - 2*g + 10. What is the common denominator of (-62)\/8*(-1)\/(-4) and (-127)\/30 - r\/(-10)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*f + 19*f = 5778. Calculate the greatest common factor of 1070 and f.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u = 2*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 26*g**2 - 20*g**2 + 10*g**2 as u + p*g + x*g**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -4422 + 426\nAnswer: -3996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -9001.41 - 0.2?\nAnswer: -9001.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, 17.605, 3, -0.059 in descending order.\nAnswer: 17.605, 3, -0.059, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 856721 (base 9) in base 10?\nAnswer: 510157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1932858136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2763659554644 take away 4?\nAnswer: 2763659554640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 7 = -2*h + 5, 0 = -4*b - 4*h. Let d = 17 + -12. Suppose 2*n = -g, 0 = -2*n - d*g - 0*g + 16. Sort 3, b, n.\nAnswer: b, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (11 - 4 - -12 - 2) + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008702 rounded to six decimal places?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 5*o + 16 = -30, 0 = 4*q + 4*o + 48 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/40 and -137\/384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 444 + 599. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 552 is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bmv. Give prob of sequence mv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.051 take away 7897?\nAnswer: -7896.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47\/(-3) + ((-14)\/6 - (-267)\/89).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4393386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.3625888ng?\nAnswer: 0.0000000003625888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 492.8 + -942.2. What is c rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45042 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44 and 3827080.\nAnswer: 42097880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -4*o**3 - 5*o**2 + o - 4. Let m(r) = -2*r**3 + 8952*r - 8950*r - 14*r**2 + 4 - 15 - 10*r**3. Determine 11*l(z) - 4*m(z).\nAnswer: 4*z**3 + z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of 0*m**3 + 0 - 13\/24*m**4 + 0*m + 19*m**2. Let x(o) = 2*o**2. Determine x(f(q)).\nAnswer: 338*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5425.953g in nanograms?\nAnswer: 5425953000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 8*(-100)\/480*9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2236, -2246, -2256, -2266?\nAnswer: -2276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2 + 26*t - 139. Determine s(14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 3 = 13. Let g = 18.785 + 1.215. Sort g, -0.4, q in decreasing order.\nAnswer: g, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = -3*m + 6, 4*m - 7662 = -6*w - 7692 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110000010010000101110100 + 110?\nAnswer: 1110000010010000101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 333 a factor of 3059923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 71285126057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b + 2. Let y be h(-7). Let w = 9 + y. Solve 2*z = -2*a + 14, w*z + 12 = -a + 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1682, -1673, -1662, -1649?\nAnswer: -1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -726493088962 + 726493384186.869057. Let y = a - 295225. Let u = -0.131 - y. Round u to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 57529*f*k*t**2*z - 59*f*k*t*z + k*t**2*z + 7245*k*t + 2*k*z - 2*t**2*z - t*z wrt f?\nAnswer: 57529*k*t**2*z - 59*k*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -6876050?\nAnswer: -6876050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3551 + 3551 - 191*g**2)*(0*g - 2*g + g).\nAnswer: 191*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 85066 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70091 = -115*h + 1330*h + 1046*h for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 3*a + 87*i - 82*i, 0*i + 19*i + 29 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39)\/13*4\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (506\/(-121) - -4)\/1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 3*r + 4812, o + 6015 = 6*o + 4*r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-19 - (-4 - (1 + 0))) + 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 355 by -2671.\nAnswer: -355\/2671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28067, 55414, 81295, 104978, 125731, 142822, 155519, 163090?\nAnswer: 164803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, 24, 3, 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, j: 3, s: 1, e: 2}. Give prob of sequence ees.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 290964*v - 581932*v + 290952*v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - 105*a**2 + 2*a - 206. Let k be p(105). Let w = -10 - -5. What is the fourth smallest value in w, k, 2\/27, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -h - 428, 3*l - 713 = -2*l + 2*h. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 = 98*k - 128*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -40 > -15250\/381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -115 + 251 + 297 + 539*x**3 - 85 wrt x.\nAnswer: 1617*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44 divided by -3829.\nAnswer: 44\/3829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 7*n**2 - 3*n + 8. Give j(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17560 = -8565*s + 398*s + 314406 + 291178 for s.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*i + 4*w + 11, -46*i + 42*i = 2*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 7.94*-0.1\nAnswer: -0.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 + 10 = 8*y. Let n(w) = -3*w - 10. Let t(g) = 2*g + 5. Give y*t(m) + 4*n(m).\nAnswer: 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 168629191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/((t\/(t*t**(-25)))\/t)))**(-27)\/(t**(10\/9)\/(t**16*t)) assuming t is positive.\nAnswer: t**(-5689\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 99*a**3 - 2*a**2 + 5*a - 7. What is the hundreds digit of d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + 2. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 - 14*a - 26. Let b be y(22). Calculate the highest common factor of b and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -2*k - 5. Let n(u) = -u - 3. Let c(y) = 5*n(y) - 3*r(y). Calculate the remainder when 30 is divided by c(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 24. Suppose -u = -t + 2. Let g = t + 8. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*s + 64697 = 14122. Which is smaller: s or 1448?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1 + 3 + 10*v**4 - 5 - 7 wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 118704105 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(4*(4 + -3 + sqrt(343)))**2.\nAnswer: -27520 - 1120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 - -3. Let o be 44\/(-36) + 3 - 8\/(-36). Let t be 11*o*1\/(-4). Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 3 - 6 = 0. Let w be 5 + -10*c\/(-2) + 5. Sort w, -0.1, 19.2 in ascending order.\nAnswer: -0.1, w, 19.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 5  (c) 380  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-3 - 108\/(-44)). Let t = f + -4\/3. Factor t*u**2 + 1\/2*u**3 - u + 0.\nAnswer: u*(u - 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4500)\/(-24750) - (-306)\/11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/9)\/(5\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*s + 2*s + 3*s)*(-9*s + 2*s - 6 + 5*s) to the form g + q*s + m*s**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -6802392 (base 10) to base 6\nAnswer: -401444320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b - b + 2*b)*(10*b**2 - 11*b**2 - 50*b**2)*(2*b + b - 4*b).\nAnswer: 153*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 - 9\/(-1) - 4. What are the prime factors of o*249*3\/18?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - 1) + (-3 - 1). Suppose 3*n - b - 25 + 8 = 0, 0 = n - 3*b - 19. What is the remainder when 62 is divided by h\/12 - (-85)\/n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1840420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + 13*x**2 + 34*x + 268. Let y be f(-12). Let n(j) = -j + 4. Let b be n(2). Solve y*h + r + 0*r + 8 = 0, -b*h + r = 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p. Let w(a) = -290*a. What is t(w(l))?\nAnswer: 580*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-87527)\/(-33) + 8)\/((-2)\/(-6))?\nAnswer: 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 233?\nAnswer: -3\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express k**4 + 2879*k - 13*k**2 + 3 - 2879*k in the form f*k + s*k**3 + n*k**2 + t*k**4 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 205175 and 320?\nAnswer: 13131200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -11100011?\nAnswer: -11100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 30354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1071, 4253, 9557, 16983, 26531?\nAnswer: 38201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.668 - 2.068. Put 308, l, -1 in descending order.\nAnswer: 308, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + 1)\/((-1)\/(-2)). Suppose -h - f*c = -0*c + 2, -4*h = 5*c - 1. Calculate the lowest common multiple of h and 11 - (1*-2 - -4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (8 + -6)*(-79)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2065 a factor of 267568245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -3*v + 12. Let n(d) = 4*d - 11. Let h(a) = -5*n(a) - 4*z(a). Let j be h(-7). Suppose -5*t + j = 3*g, g + 1 = 2. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 + 609*u + 13480. Let b be h(-23). What is the third biggest value in b, 0.1, -3, 2\/397?\nAnswer: 2\/397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28*p - 9*p - 14*p to the form c*p + d and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3802749761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + 2 + -1 + 0. Let z = 0 - -0.4. Let k = -0.35221 - -0.05221. What is the nearest to g in k, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 13*t - 12*t = -13, 2 = 4*g - 5*t. Solve g*c - 8*c + 10 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -6 + 2 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 442 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 194.36 to 0 dps.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 11737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 28 + -19. Suppose 5*z = f*z + 696. What is z rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 37610852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of -i**6\/60 - i**5\/30 + 7*i**4\/24 + 4*i**3\/3 - 25*i**2. Is 8 a factor of o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63*48\/288 + 13.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v. Let q(r) be the second derivative of 4*r**3\/3 + 2*r. Determine q(f(i)).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 38562967 a multiple of 876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vyv when three letters picked without replacement from {v: 2, g: 2, y: 1, f: 1, o: 6}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 850558026.\nAnswer: 2, 3, 1213, 116867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/24 + (-58 - (1 + 2))\/4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 453 + -411. What is the least common multiple of r and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-9)\/5)\/(57\/15 - 4). Suppose -r - 13 = -4*i, i = -3*r - 2*i - t. Sort -1, r, 3\/4, 2\/5 in increasing order.\nAnswer: r, -1, 2\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of x**8\/20160 - x**7\/7560 - x**6\/270 + x**5\/30 + 7*x**4\/12 + 26*x. Let z(n) be the third derivative of h(n). Factor z(i).\nAnswer: (i - 2)**2*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 117 + -61. Is w a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -16, 0, 5834?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 12:38 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m**2 + m - m**2 + m**2. Suppose 0 = -3*t + 6. Let f be n(t). Let d(w) = -w**3 - 5*w**2 + 5*w. What is d(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 7:40 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -85?  (a) -1  (b) 25  (c) 0.0499\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v and 1 f when four letters picked without replacement from fvfvv?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*i - 4*i + 3*i + (1 - 1 - 2)*(-6*i + i + 2*i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2 - 668*n - 5850.\nAnswer: -2*(n + 9)*(n + 325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -1 and -6534046537038.\nAnswer: -6534046537039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -3*z + 12. Let g be s(4). Let u(v) = 0*v + g*v - v. Let a(f) be the second derivative of -f**3 - f. Determine u(a(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*z = 60*z - 30 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8828 divided by 6?\nAnswer: -4414\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141816858.\nAnswer: 2, 3, 401, 58943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/8)\/((-24777)\/22032 + 1 + (-70)\/(-595)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1098178 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -32.952 + 33. Let m = 0.152 + p. Sort 0.1, -4, m, 0.3.\nAnswer: -4, 0.1, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 51383 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 6*m - 2. Let f be y(2). Calculate the greatest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l - 2*l**2 - 3*l + 13*l - 2*l - 7*l. Give g(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -4*v**2 - v. Suppose -k - 3*k = -32. Suppose -2*n - 2*n = -k. Let m = 9 - n. Let s(t) = -t**2. What is m*s(o) - 2*b(o)?\nAnswer: o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 385 - 382. Let d(m) be the first derivative of -2*m**2 + 8*m + 3. Let o(i) = 1. Let q(s) = d(s) - 4*o(s). Calculate q(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -393464 and -4328114\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + 1. Let v(p) = p**2 - 15*p + 53. Let x be v(10). Solve -r*n = i + 1 - 10, 4*i - 9 = -x*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 - 8*l - 3. Let r be (6\/(-1))\/(2 - 1). Calculate the remainder when 35 is divided by t(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2236616 + 3?\nAnswer: 2236622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - 8*g**2 + 8*g - 7. Let q be x(7). Let k = 5 - -1. Suppose -k*m = -2*m - 3*j - 15, m = -j + 2. Solve z - m*w + 2 = q, -z - w - 7 = w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13 - -95. Suppose n - 2 = 0, -p - n + 2*n + 80 = 0. Let v = p + -46. Calculate the highest common factor of c and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 157*p**4 - 759*p**2 + 36*p**4 - 20 - 2*p + 761*p**2 wrt p.\nAnswer: 2316*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*j**3 - 106*j**3 + 276*j**3 - 81*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*t + 50*t + 49 = -2*j, 4*j = t - 43 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 26509938 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 623024.7kg?\nAnswer: 623024700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11863*r*w + 230*w - 6 wrt r.\nAnswer: -11863*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**2 - 124*j**2 - 34*j**2 + 0*j + 2*j. Let l(k) = -k**2 - 6*k + 6. Let n(x) = -3*x + 3. Let w(p) = -l(p) + 2*n(p). Give m(w(z)).\nAnswer: -156*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -23 - 2. Suppose 8 = -q - 3*o, -5 = f*o + 15. Solve m**3 - 4*m**2 - 6*m**5 + m**3 + 0*m**3 + 4*m**q + 4*m**4 = 0 for m.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 575.1 + -575. Is -20.4 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13*f**4 + 136456*f**3 + 31*f + 48764088 with respect to f.\nAnswer: -52*f**3 + 409368*f**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.7 + -2. Let z(d) = -2*d**2 + 27*d - 1. Let r be z(0). What is the third smallest value in -4, r, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8776 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4695058.\nAnswer: 2, 53, 44293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + 2\/((-7392)\/23068). Let c = z - 2\/231. Calculate the common denominator of -59\/6 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 649587 * 0.08\nAnswer: 51966.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-18)*y**(-13)*y**(-2\/55)*y**35 assuming y is positive.\nAnswer: y**(218\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.3638 minus -6?\nAnswer: 14.3638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 - 2)*(4 - 4 - 2*v)*(-18 + 18 + 30*v**2) + (261 - 102*v**2 - 261)*(1 + v - 1) as n*v + o + b*v**3 + h*v**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3839079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {d: 3, h: 15}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2001 + 2?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1704 - 1711. Which is the second smallest value?  (a) -2  (b) -0.11  (c) l  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 + 3 + 7)*(f + f**2 - f) + (0*f - f - 2*f)*(-3*f + 2*f + 0*f).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 6, -9, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 - -11. Suppose h*u = 4*u. Suppose -2*d = -0*d - 10. Put d, u, 1 in descending order.\nAnswer: d, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 24 + -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 792 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -20, 23, 114, 271, 512?\nAnswer: 855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 48*a + 206. Let k be g(-5). Let u(j) = -2*j - 33. Calculate u(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {b: 7, a: 7, k: 4}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 30302322 (base 4) in base 5?\nAnswer: 3134120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -94 + 141. Let l be (-1 + 1)*(-2 - -1). Suppose 5*v + 5*b - 50 = 0, l*b - 4*b + c = 5*v. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -4*k - 28, 0 = -z - 65*k + 64*k - 1. Which is the nearest to -1?  (a) 2  (b) -5  (c) -90  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 92a + 43785?\nAnswer: 440af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1029913765 to the power of 1\/3, to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*w + 8*w**3 - w + 0*w**3 + 4*w wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1203 is divided by 174?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -13  (b) 0.4  (c) -2  (d) -495  (e) -0.4  (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - 0.172.\nAnswer: 14.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 884181.\nAnswer: 3, 29, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 - 10*k**2 - 7*k + 28. Let g be t(-9). Solve -2*y + 0 = -g, -y = -5*l + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -471518 at most -471518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.98 + 1. Let a = 9.48 + r. What is a rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w**0\/w)**(30\/11))**(1\/17))**(-3\/11))**(-32) assuming w is positive.\nAnswer: w**(-2880\/2057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17 (base 14) to base 2.\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2467, -6032, -10539, -15994, -22403, -29772?\nAnswer: -38107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 + 27*k - 135. What is w(4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 513672000 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2427947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 3*x**2 + 175*x - 190*x - 4*x**2 + 1. Let t be w(-11). Calculate the least common multiple of (t\/25)\/((-3)\/(-50)) and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 714 = -4*p - 2909, -4*r + 1648 = -3*p. Is 3\/((-4)\/p + 0) 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 2720 and 85729776.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-4)*3*4. Let d(x) = x - x + p*x. Let m(w) = -w. Calculate -2*d(k) - 5*m(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -9353422 divided by -359747\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 145*a - 169*a = 37, 4*k - 4*a = 60 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tkqp when four letters picked without replacement from qptppqqpppqqpkppp.\nAnswer: 5\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 891559658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - ((7 - 6) + -6) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010000101111101010 (base 2) to base 16.\nAnswer: 50bea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 + 10*q**2 - 12*q - 8. Let f be y(-11). Solve -f*d = -d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*l + 228*l - 74*l - 78*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -v**2 - 166 + 162 - v**3 + 6*v**2 - v**3 to b*v**3 + r*v**2 + m + f*v and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 65929650.\nAnswer: -6592965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i + 2*i - 3*i + i. Let o be q(2). Suppose o*x - x = 9. Solve -4*u - x*p - 9 = 0, -2*u = -3*p - 0*p - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2621*x + 8833*x - 409992 = 0 for x.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*2*sqrt(76)*-6.\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yvzyyyypqvyq. Give prob of picking 1 y and 1 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00117548 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35.5 + -13.8. Let u = -9.3 - o. Let n = 39 - u. What is the second biggest value in -0.4, 5, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 PM and 10:39 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7448462.\nAnswer: 2, 7, 532033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 9115 divided by 17462\nAnswer: 9115\/17462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -5*y + 722. Determine d(142).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3*((-26)\/65 - 22\/(-30)). What is the nearest to -2\/7 in l, 1\/8, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 118?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 q when four letters picked without replacement from hhqqhqqqqq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*f - 198*f = 1312 - 112 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r**4\/7 + 3632*r**3\/7 + 29180*r**2\/7 - 218256*r\/7 - 74880 = 0 for r.\nAnswer: -12, -2, 6, 3640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 23 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.15*-0.3.\nAnswer: -0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -924 + 924. Let z(m) = m**3 + 2*m + 34. Give z(o).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5042 and 3208.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -390 - -392. Suppose -2*d - 2*i = -8, 0 = -t*d - 2*i + 5*i + 8. Let p(n) = n**2. Calculate p(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 0.2, 20419 in descending order.\nAnswer: 20419, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 - 1. Let r(k) = -4*k**2 - k - 2. Let s(n) = 2*q(n) - r(n). Calculate s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2*w = 5*t - 2, 4*w = t - 14. Which is greater: -0.3 or t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 89 - 87. Suppose 0 = -o - b*o + 24. Let f(j) = -4*j + o - 13 + 6. Determine f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-48)\/(-162)*6 + (-4)\/(-18). Let y be (-112)\/(-63) - r\/(-9). Solve 1\/3*h**y - 1\/3*h - 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 2*m = -10, 2*u = 5*m + 1 + 3. Suppose 0 = 2*o - s - 3, 5*o = u*o + 3*s. Suppose o*c = -3*c + 102. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + 33*k**2 - 146*k + 76. Let n be j(-37). Solve 4*w - n = -0*w + c, -3 = w - 2*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.39, 1\/4, 1\/3?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 120*g - 1318. Let h be c(11). What is the nearest to 1 in -1\/4, 1.7, h, 10?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, r: 3, s: 2, p: 3}. Give prob of picking 2 s, 1 w, and 1 p.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -53*y + 47*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1113 + 1113.2386. Let u = p + 124.6614. What is u rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from voxxbcxvxo. What is prob of sequence voc?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3\/6302 - 318233\/37812. Let f(c) = -c - 5. Let s be f(0). Calculate the common denominator of 0 + 0 + s\/(-18) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -4*l**2 + 17*l + 157. What is p(-7)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - 101001100010?\nAnswer: -101001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 16*t**2 - 5*t**4 + 39*t - 135 - 16*t**2 + 4*t**4 wrt t?\nAnswer: -4*t**3 + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1034080)\/1058)\/(-16) - (-2)\/(-23). Solve 57 - d = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.7 in 0, 5, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -87 + 44. Let z be -1*((1 - 1) + 2 + -40). Suppose p = y - z, p = -p - 4*y - 106. Is o > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 341 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**3 - 24*v**2 + 435 + 3*v**3 - 152 - 133 - 152 + v as b + s*v + f*v**3 + q*v**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -85, -79, -79, -91, -121?\n\"Answer: -i**3 + 3*i**2 + 4*i - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 156, 1\/14, -5 in descending order.\nAnswer: 156, 1\/14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 42 - 19*o - 17*o + 37*o. Give c(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -3*r + 3. Let f be c(-4). Let l = -9 - -12. Suppose -5*h + 3*a - f + 47 = 0, -l*h + 4*a = -28. Solve 2*y - 3*y + 13 = 4*z, -26 = -h*y - 3*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 114*v**2 - 2*v + 215 wrt v.\nAnswer: 228*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.993 + 91225515.\nAnswer: 91225517.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1.438*-0.069\nAnswer: -0.099222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**2 - 104*i - 1098. Determine r(-13).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -307, -1185, -2619, -4591, -7083, -10077, -13555?\n\"Answer: 3*c**3 - 296*c**2 - 11*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (22\/(-1386)*9)\/((-4)\/7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3439784 or -3439797?\nAnswer: -3439784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -62\/13?  (a) -1\/3  (b) -63  (c) -4\/7  (d) 1\/8  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -142.7894827 from -25917.\nAnswer: -25774.2105173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 5*a - 38. Let w be d(8). Let s(z) = -47*z**2 + 97*z**w - 56*z**2. Let m(f) = 15*f. Determine m(s(p)).\nAnswer: -90*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 15\/4, -0.4, -0.39, 0.058?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1052 + -5243\/5. Suppose -2*b - 1 + 15 = 2*a, -2*a - 11 = -3*b. Find the common denominator of 1 + (-234)\/20 + a and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*x**2 + 285*x**3 + x - 84 + 2*x**2 + 10 wrt x.\nAnswer: 1710*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*a**2 + 3*a**2 - 16*a**2)*(-1 + 1 - 2).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -2*h**2\/3 + 8*h\/3 + 8 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -48.04486 to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 6\/7  (b) 0.1  (c) 4  (d) -4  (e) -140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 1959?\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -620*v**2. Let i(s) = 11*s**2. Calculate t(i(z)).\nAnswer: -75020*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o - 8. Suppose 5*z = 2*k - 21, -2 - 3 = 5*z. Let v be b(k). Suppose -3*i - i + 288 = v. Calculate the highest common factor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38432 divided by -2?\nAnswer: 19216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*d - 10*d - 4. Suppose 3 = -d*q + q, 3*z = q - 125. Find the common denominator of 77\/6 and 7\/z - (-795)\/(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 5*a - 3 = -0*a, 2*a - 6 = -2*u. What is the third derivative of 6*l**3 - l**3 - u*l**2 - 2*l**3 + 3*l**3 - 27 - 17*l**3 wrt l?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.99 + -0.01. Let q = 8 - 7.9. Which is the nearest to q?  (a) h  (b) 4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/267516 and -1\/148620.\nAnswer: 1337580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeeoceeeeeeeeee. Give prob of sequence oec.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 38?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 12 = 2*g. Suppose -4*b = -2*u - 6*b - 10, -5*b - 25 = 2*u. Suppose u = 5*m - g*m - 20. What is the remainder when 28 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 919?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30 + -121\/4. Let i be 1\/(-2) + (-1)\/(-4). Suppose 2 = -x + w - 4, -15 = x - 4*w. What is the nearest to i in x, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -384592 = -4602*n - 1339*n + 599*n - 2054*n for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 d when four letters picked without replacement from {y: 3, d: 17}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 4*j = 16242 - 133, -5*n + 80450 = j. List the prime factors of n.\nAnswer: 3, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 472, 16, 2 in decreasing order.\nAnswer: 472, 16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3355 + 6?\nAnswer: -334a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5574, 11104, 16636, 22170, 27706?\n\"Answer: v**2 + 5527*v + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s - 11 = 9*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 14772.51 centuries?\nAnswer: 1477.251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0.4, 22, -2\/3, 3\/10, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*j*n*q**2*r**3 - 2*j*n*q**2 - 5*j*n*r**3 + 3*j*n*r**2 - j*n*r + 20*j*q*r**3 - 2*n*q**2*r**2 + 5*q**2*r**2 wrt r.\nAnswer: 12*j*n*q**2 - 30*j*n + 120*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate d**3 - 731*d**2 - 6145 with respect to d.\nAnswer: 3*d**2 - 1462*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/301, 3, -0.36, -54.\nAnswer: -54, -0.36, -2\/301, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 545001638 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - 12. Let i = -8 - l. Which is the nearest to 0.1?  (a) i  (b) 2\/5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*l + l**3 - 2*l**3 - 34 + 20 + 14 + 373*l**2.\nAnswer: -l**3 + 373*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*m - 13 = 4*f + 54*m, -22*f - f - m - 93 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 18*n - 4. Let o(i) = -13*i + 3. Let j(z) = -11*o(z) - 8*s(z). Let q(m) = 3*m**2 + 8*m + 12. Calculate -6*j(x) - q(x).\nAnswer: -3*x**2 - 2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -250\/181, -22, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r**2 - 2*r**2 + 10*r**2)*(-5*r + 0*r - r).\nAnswer: -84*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30*k**2 + 28*k**2 + 15*k**2)*(-4 + 50*k + 0 + 4) + k**3 - 4*k**3 + k**3.\nAnswer: 648*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -188 + 226. Let t be ((-57)\/i)\/((-5)\/10). Let m = -10 + 15. Put t, 2\/5, -16, m in descending order.\nAnswer: m, t, 2\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-9712.\nAnswer: 971.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 278143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6882561 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5725394*a**6 + 30*a**2 + 3955 wrt a?\nAnswer: 687047280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1124 is divided by 106.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/31  (b) -0.51  (c) -122  (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - -2 - 1) + -2. Let f(y) be the second derivative of -y**3 - 3*y. What is the units digit of f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -247 or -737\/3?\nAnswer: -737\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5903370491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2 + 10114*k - 426552.\nAnswer: (k - 42)*(k + 10156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8)\/(sqrt(48)\/(sqrt(72)\/sqrt(6))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 30821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/175389819 and 107\/5676.\nAnswer: 701559276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3146190 is divided by 15810.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 60\/(-40)*5\/(-15)*(7 - 11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20843111 is divided by 45.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*z - 65 = -86 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -9. Let p(n) = n**3 - 3*n**2 + 11*n + 2. Let y be p(k). Suppose -4*g + y = 8. What is the remainder when g is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -8. Suppose -r*u + 0*u = -42. Suppose 2*o = -0*o - 5*n - 6, u = 2*o - 5*n. Solve -5*s - 19 = -3*j + 2*j, o*s = 5*j - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38116 + -38115.872845. Let b = 0.432335 + s. Let g = b + -0.56. Round g to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/21*14\/(-18). What is the second biggest value in -1\/18, 0.3, h?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - -1. Let f(n) = n - 2. Let x be f(6). Suppose 4*s = -x*j + 12, -5 + 41 = 2*j - v*s. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 9*h**2 - 2984*h - 23788. Calculate g(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 20*v + 341. Give m(19).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 - -31. Suppose 0 = -f - 0*n - 5*n - 18, 5*f = 3*n + v. Suppose 0 = 4*d - 5*y - 109, -f*y + 43 = 3*d + 2*y. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1639 + ((-4)\/(-3) - (-14)\/(-42)). What is the hundreds digit of 5 + -5 + d\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((420\/(-18))\/(-10)*-2)\/((-16)\/4).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 105780, 211565, 317348, 423129, 528908, 634685, 740460?\nAnswer: 846233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 3*h**2 + 4*h**4 - 19*h**3 + 2*h**3 + 25*h**3 to n*h + c*h**2 + f*h**3 + a + d*h**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 486 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 5*x**5 + 27*x**3 - 30*x**2 - 47*x**3 - 20*x**4 - 35*x**3 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/(-66) - (-4118)\/(-22) - -3. Let v = -169 - n. What is the smallest common multiple of 35 and v?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42283 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l = 5*l + 320. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-3\/2)*m\/(m*(m\/m**(-6)*m)\/m)*m)**(-16)\/((m**(1\/2)\/m*m**(2\/9))\/((m*m**(-1)*m)\/(m\/(m*m*m\/(m\/(m*m**(-1\/5)\/m)))*m))) assuming m is positive.\nAnswer: m**(10897\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5 + 9 + -2 + (-26)\/10. Sort -5, k, -0.14 in decreasing order.\nAnswer: -0.14, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*o + 12*o = -5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5464 + 8932 = -244*w for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000716213147 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 - -15 - (-370 + 227).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 18 = -0*k. Solve k*r - r + 3*o - 9 = 0, -r + 4*o = 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 587442797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10101010100100 (base 2) to base 13.\nAnswer: -4c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -100, -97, -94, -91?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.8 - 3. Let i = -0.069 + 5.069. Let b = 0.06 + 3.94. Put z, i, b in decreasing order.\nAnswer: i, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {x: 1, h: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 6*f - 20. What are the prime factors of o(8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 - 2 - (-170 - -196)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57492992.\nAnswer: 2, 112291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -132 (base 5) to base 3.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96215 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 21\/8 of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002571321 rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 969746.7um in centimeters?\nAnswer: 96.97467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2459.\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -224378406 divided by -16027029?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 + 5*f + 82. Is 2 a factor of y(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6508*s + 245 = 3257*s + 3240*s + 773 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 931 divided by 42381\nAnswer: 931\/42381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 34 - 55 = -3*m, 0 = 2*s - 2. Let h be -16 + 163 - (m\/2 - -2). Calculate the greatest common factor of h and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.46 - 0.02. Let g = l + 31.48. Let q = g + -32. Which is the nearest to q?  (a) -2\/13  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i - 10. Let g(u) = -u**2 + 2*u - 1. Let y be g(1). Let m be x(y). What is the units digit of (40\/25)\/((-2)\/m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 616579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 1 - 13*r**3 + 4*r**3 - 2*r + 25*r**3. Let l = -3 + 4. Is d(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*z - 9*g - 17 = 12*z, 0 = -12*z - 4*g + 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-2)*(-104)\/39. Sort -3, 2, m in ascending order.\nAnswer: m, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 125*i**3 + 1081*i**2 + 5*i + 5. Let m(s) = 126*s**3 + 1080*s**2 + 4*s + 4. Let a(f) = 5*m(f) - 4*y(f). What is the third derivative of a(k) wrt k?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -2*o - 11, 0 = -o - 0*o + 2*l - 8. Suppose -o*p + p - 5*s = -262, 516 = 2*p + 2*s. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 607883329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -46 - -104. Let h = w + -40. Calculate the remainder when 47 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 10:12 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/63 and -47\/35496.\nAnswer: 248472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(-3*(-2)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*n**2 - 208*n + 208*n)*(0*n + 3*n - n).\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*c**3 + 54*c**2 - 34*c - 12 = 0. What is c?\nAnswer: -1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.05249894 + -0.0525. What is b rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y be 1350\/(-12)*8\/6. Let z be y\/(-4)*(-4)\/(-6). Suppose -z = -3*v + 5*t, 3*v - v + 5*t - 25 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of 2*d**3 - 2*d. Let y(i) be the second derivative of -i**3\/3 - i - 33. Calculate y(n(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + 11. Let d(a) be the third derivative of a**4\/12 - a**3 + 2597*a**2. Calculate d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*n**2 - 3*n**3 + n**3 - 3*n**2)*(-4 + 4 - n**2) - 103*n**4 + 9*n**5 + 103*n**4.\nAnswer: 11*n**5 - 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-850)*-17)\/(1\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2\/25, -9, -0.1, 2\/5, 4, 24, 1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 15 = -3*k - 162, -16*o - 276 = -k - 23*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*h + 36*h = 40. Let x be (-5)\/(-2) - h\/8. Suppose 3*n + x*n - 2373 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -10630 - -2084?\nAnswer: -b579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*w = -39*w + 266. Calculate the lowest common multiple of 40 and w.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -10. Suppose 18 = 3*l + d*q + 4, 4*l = 2*q - 16. Suppose b = m - 6, -m = 3*b + 1 + 13. Put l, m, 5 in decreasing order.\nAnswer: 5, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 45274*h**2 + h + 31336.\nAnswer: 90548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 18049943, 36099886, 54149831, 72199778, 90249727, 108299678?\n\"Answer: n**2 + 18049940*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 160 + 163 - 31*p - 312 as z*p + o and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -166*o**4 - 24*o**3 + 2*o + 22*o**3 + 164*o**4 + 89*o**2 to the form p*o**2 + z*o**3 + j*o + d + f*o**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 1 - 10 = 0. Suppose -v + r*v - 370162 = 3*y, 2*v + y - 370162 = 0. Let x = 325081 - v. Round x to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a century in months?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-1*sqrt(1008)*2 + -3*(sqrt(1008) + 1 + sqrt(1008))))**2.\nAnswer: 576*sqrt(7) + 64521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -393*c = 59*c - 276 + 2536 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -12*(7 - 6)\/(-4). Let a(l) be the second derivative of -6*l + 1\/2*l**2 - 1\/6*l**q + 0. Calculate a(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 743 is divided by 729?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6450 and 757230.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (9\/(-6))\/(9\/(-24)). Let q be 6\/3 + -17 + f. Let x = 39 - q. Calculate the highest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 18 = -3*v, -4*v + 22 = -0*v + 2*z. Let y = -229\/3 - -1136\/15. Which is the closest to 1?  (a) 3  (b) v  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*k - 22*k - 24*k)*(-1 + 17 + 4) to i + q*k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 184949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 PM and 4:29 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, 3\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 3*m - m. Suppose 3*y + x = m, y - 3*x = -0*x - 1. Which is the third smallest value?  (a) -0.3  (b) -0.5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -146, -426, -846, -1364, -1938, -2526, -3086, -3576?\n\"Answer: 7*m**3 - 112*m**2 + 7*m - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1764.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 AM and 12:41 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 255*y + 1 - 54*y.\nAnswer: -309*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 + r**2 - 1. Let d be a(-1). Put d, 6, 5 in descending order.\nAnswer: 6, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - ((-5180)\/10)\/(-37)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -28*f**2 + 26*f + 495. Let r be h(-14). Is -5358 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75125?\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, -10, -224, 20, -2 in ascending order.\nAnswer: -224, -10, -2, -1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -430.1 + 430. Which is the closest to h?  (a) 2  (b) 3  (c) 2\/3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 + 3*l**2 - l + 1. Let c be j(3). What are the prime factors of c\/11 - (93\/33 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -426\/7*l**3 + 0 + 0*l - 212\/7*l**2 - 2\/7*l**5 - 216\/7*l**4.\nAnswer: -2*l**2*(l + 1)**2*(l + 106)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 4*o + 3, 2*p + 3*o - o - 6 = 0. Suppose 0 = -p*f - 5 + 11. Solve 2*a + f*a = d + 12, 0 = a + 5*d + 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4403 = -69*n + 52*n. Let b = -259 - n. Solve -2*p + 2*f = p - 4, p + 3*f - 16 = b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -105408 and -884.\nAnswer: -106292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 1 = -3*z. Let c be z\/2 - (-11)\/(-14). Let h = -829 - -831. Sort 0, c, h in ascending order.\nAnswer: c, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 298*d**3*r + 178*d**3 + 2*d wrt r?\nAnswer: 298*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (1*9\/3)\/((-630)\/(-28))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/(-90) + 10\/(-15). What is the closest to -2 in 1, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k**4\/2 + 6*k**3 + 1869*k**2\/2 - 1881*k - 2808 = 0. Calculate k.\nAnswer: -24, -1, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -387 - -391. Let p(v) = 6*v + 50. Let r be p(-7). Suppose 5*f - 5*d - 30 = 0, -3*d + 40 + 14 = 5*f. Solve -5*q = -4*h + f + 4, r = b*h - 4*q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -2\/5427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 16, -3, -5 in ascending order.\nAnswer: -5, -3, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 49816 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 83 = 4*n, 0 = 4875*n - 4874*n - 13*m + 425 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -7864 greater than or equal to -7865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4316 or 0.8?\nAnswer: -4316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106 is divided by 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of k**5\/480 + 55*k**4\/96 + 109*k**3\/48 - 19*k**2. Solve z(b) = 0.\nAnswer: -109, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 + -4537\nAnswer: -4537.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20*(-12)\/48)\/(12\/18*18\/24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Solve -17006*r = -16984*r + 176 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.04 and 2.72.\nAnswer: 0.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -36103 + 24953. Let h = j + 7637. Let c = -1690 - h. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1601840057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 AM and 3:06 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 1 + 7*a - 10*a + 2*a. Give u(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, c: 1, q: 1, m: 2, f: 2}. Give prob of picking 1 f and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/(510030\/100)*52\/(-16) and 87\/2?\nAnswer: 3778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1305542*p - 2*p**3 - 2 - 366*p**5 + 1305542*p + (3*p**4 + 2*p**4 - 2*p**4)*(2*p + 0*p - 3*p).\nAnswer: -369*p**5 - 2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 61*x - 53. What is b(-1)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8*q**3 - 1986*q**2 + 27*q + 2091017.\nAnswer: 24*q**2 - 3972*q + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13110000 rounded to the nearest one hundred thousand?\nAnswer: 13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/6 - 29509780864679355\/(-120520). Let j = x + -244853807378. Let i = j + -2\/9039. What is the common denominator of -39\/10 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/9 + (-250)\/(-6) is divided by -5 + (3 - -14 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2\/23, -11376 in increasing order.\nAnswer: -11376, -2\/23, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*q + 12*q - 15 = 2*b, -2*b - 4*q - 20 = 0. Let t(n) = -n - 1 + 0*n + 2. Calculate t(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 4*q = -60, -3*c = q - 51 + 6. Let t(l) = 15 - 5*l - c + 4*l. Let v(o) be the second derivative of o**4\/4 - o. Give v(t(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 8*s + 12. Suppose r = -s*r + 8. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34951356.\nAnswer: 2, 3, 11, 88261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 8:21 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -20, o - 35 = 2*r - 7*r. Let a(i) = 23*i + 27*i + 59 - 43*i. Let p be a(-7). What is the highest common divisor of p and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-5)*1\/(-3). Let q(g) = -g**3 + 4*g**2 + 5*g + 1. Let p be q(5). Which is bigger: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 7:38 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/3 and 5\/159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 79085 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -5) + (9 - 21 - -20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -1, -7660488, 3.\nAnswer: -7660488, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - 2 - ((-25 - (-10 - 32)) + -109).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -56.9?  (a) -1.13  (b) -2  (c) -5  (d) -4\/7  (e) -70\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/322354571 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-36)\/(-8))\/(-9))\/((-1)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, 1, -1036916 in decreasing order.\nAnswer: 1, -1, -5, -1036916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -45 - -50. Suppose 0 = g*f - 379 + 29. List the prime factors of f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(16 + (-182)\/13). Solve 0 = b*s - 19 + 21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12787 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**2 - 552. Let x(z) = -2*z. Calculate k(x(a)).\nAnswer: 8*a**2 - 552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.7 + 19.7. Let o = 18.3 - n. Let m = 3 + -2. Which is the smallest value?  (a) m  (b) -0.3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**2 - 3*i**4 - 11*i**4 + 12*i**4)*(-3 - 1 - 8)*(3 - 5 + 4).\nAnswer: 48*i**4 - 72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 2865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 190*z. Let s(u) = -u**2 + 1. Let c(n) = -4*n**2 + 2. Let p(q) = -c(q) + 2*s(q). Calculate h(p(k)).\nAnswer: 380*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -5. Let t = k + 2. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -81268 divided by -20317?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -7\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2815, 11391, 25683, 45691?\n\"Answer: 2858*m**2 + 2*m - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 61764 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3955956 to 2 dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1124 + -1118. Suppose -z + 3*g = -17, -15 = z + g + 4*g. Suppose 22 = 5*w + t + 2*t, -4*t + 21 = z*w. Is w >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*d = 13*d + 10. Let l be 9\/2*(4 + -2). Suppose -3*q - g - 6 = -2*q, 4*g + l = q. What is the third biggest value in -2, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-279*g + 1380*g + 110*g)*(g + 3 - 3).\nAnswer: 1211*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = 5*j + 53, 0 = 4*j + 4*g - 68066 + 68118 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 16\/1 - -1*4. Let f = -18 + l. Solve a = f*j + 2 - 8, 5*a + 5*j + 15 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 240 - 239.909. Round v to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-34)\/14 - ((-120)\/21)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/((-3)\/240))\/((-7)\/(-673750)). What is k rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -28, -49, -94, -175, -304, -493, -754?\n\"Answer: -2*h**3 - 7*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -47 - 299906?\nAnswer: -299952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -3  (c) -2\/15  (d) 298  (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31.8 + -4.8. Let m = 27.00000052 - o. What is m rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 7351\nAnswer: 7\/7351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -11*b - 228. Let d be t(-21). Solve -m - 20 = d*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r + 3. Let w be f(-7). Let x be (-14)\/(-4)*w\/(-7). Suppose -q = 5*s - 17, -2*q - x = -3*s + 3. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -3, 5 in descending order.\nAnswer: 5, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = k - 68, 107*k - 5*x - 98 = 106*k. What is the remainder when 218 is divided by k?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34755911.\nAnswer: 43, 233, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.004641792 + 0.00469. Round z to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21.9 + -22. Let g be (-2)\/8 - 13\/(-4). Let f be 11\/13 - (1 - 0). What is the closest to z in f, g, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3091661 a multiple of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-534)\/445)\/((-180)\/10))\/((-7)\/2457)?\nAnswer: -117\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 2865141.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101011000000 - 1100?\nAnswer: -1101011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 406889, 19, 2, 1 in descending order.\nAnswer: 406889, 19, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29074?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 11*s**2 + 546*s - 45. List the prime factors of k(-31).\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 - 3*f**2 + 4*f - 7. Calculate y(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -3, w = -p + 410 - 393. Calculate the remainder when 55 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 61 or 4\/5?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3401 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 16110 - -35?\nAnswer: 16145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -5*d + c + 2*c, -12 = 3*c. Suppose d*r - 3*r - 2*f = 73, -r = 4*f - 19. Suppose z - 2 = -0*z. Solve -3*a - z*p = -4*a + r, 3*p = 3*a - 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7\/(-21) + (-4)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (-513)\/76)*-16\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 288890504 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 505301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5979859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + (4\/(-9))\/(18\/(-81)). Suppose 0*s - 5*u = -2*s, -y*u = 5*s. Suppose 1\/5*o**2 + s + 1\/5*o = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7100, -7098, -7096?\nAnswer: -7094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = 2 - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of -w**7\/1260 + w**6\/540 - w**3\/3 + 2*w. Let k(u) be the second derivative of m(u). Factor k(v).\nAnswer: -2*v**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*v**4 + 672*v**3 - 11919*v**2 + 72495*v - 61236 = 0. Calculate v.\nAnswer: 1, 27\/2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 485704940 to the nearest one million.\nAnswer: 486000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18142 + -70019783841.\nAnswer: -70019801983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.01, 0.5, -248617?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -631812508, -1263625017, -1895437526, -2527250035, -3159062544, -3790875053?\n\"Answer: -631812509*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18639\/2 + -8792. Let c = n + -501. Let k = -223\/14 - -4574\/301. Calculate the common denominator of c and k.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 56.74 - 55.94. Which is greater: x or -360?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(76) - (sqrt(19) + sqrt(1216)*-3).\nAnswer: -3 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 57, -5 in decreasing order.\nAnswer: 57, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -9*1*(4 - 3). Let c = 13 + o. Suppose -16 = -c*d - 0*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, 0, -5, -38 in descending order.\nAnswer: 0, -5, -26, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -182, -390, -598, -806?\n\"Answer: -208*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 5*m - 9. Suppose -m*g + 3*q + 78 = -2*q, g + 5*q - 32 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*g**3 - 15*g**3 + 17*g**3)*(5 + g - 3 + 2 + (4 + 0 - 1)*(g - g - 2*g)).\nAnswer: 70*g**4 - 56*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -2. Suppose y - 6*a + a - 17 = w, 2*y - 7 = a. What is the second derivative of -2*h**2 - 2*h**3 + 2*h**y + 2*h wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -7*t - 10. Let c be h(-8). Suppose 2*u + c - 52 = 0. Let r be 15\/10 - (9\/(-2))\/u. Solve r*p = -5*q + 3, 3*q - 5 = 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5 + 1\/(-1))*1. Let c = -716 + 672. What are the prime factors of c\/((-1)\/(6\/n)) + 0?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 4*u - 82, 0*u = -3*o + u + 98. Let l = 6 - o. Is 3\/5*l\/(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18394, -18040, -17686, -17332?\nAnswer: -16978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**4 + 2*b**2 - 2*b + 0*b - 3 + 2 + 2*b**3 - b**3 to l + j*b**4 + o*b + z*b**2 + q*b**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*t - 3*h = 23*t - 20448, 2*t = -h + 8180. Does 66 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 22.563, 0.1, -100?\nAnswer: 22.563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -89?  (a) -15  (b) 329  (c) -1\/5  (d) 2\/11  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.094, 0.06, 2\/11?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/480 and 121\/240?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 657*i - 646*i + 209 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 31 + (-105 - -47 - -64)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*p**3 - 110*p**2 + 219*p**2 + 2 - 110*p**2 to the form t*p**3 + f*p + c + r*p**2 and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 2, 57, -4.\nAnswer: -4, 2, 11, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25 - -36. Suppose 18*c - 12*c = -t*c. Suppose -122 = -2*i + 5*z + 140, c = 4*z. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 + 4*d**2 + 14*d + 4. Let u = -68 + 78. Let g be (18\/u)\/(18\/120*2). What is the units digit of v(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -6*h - 1. Suppose -4*z - z = 10. Let m = -7 - z. Let u(j) be the third derivative of 7*j**4\/24 + j**3\/6 + 3*j**2. Calculate m*u(s) - 6*y(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*f - 391 = -10*f - 79 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 0. Suppose c = -0*d + d - 4. Suppose 80 = -0*o + 4*o - 2*b, 0 = -d*o + 3*b + 80. Solve x + o = 6*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2946 - 2944. Solve 833 - 841 = j*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 AM and 5:21 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - j + 1 = 0, -96 + 99 = u + 3*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-14)\/21)\/(1 - 26\/30). Sort 0, -3, p, 4 in decreasing order.\nAnswer: 4, 0, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 577 - 573. Suppose 2*h - t - 37 = 0, 1 - 18 = -2*h - 3*t. Calculate the remainder when h is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-32)\/(-12) + (-4)\/6. Solve 0 = 4*z - c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - -5) + (3 - -3) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**3 + 95*v**2 + 41*v - 62. What is b(48)?\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + ((-2)\/(-6) - (-58)\/(-12))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 1 + 1 + 5 + 141*f. Suppose -o - o - 14 = 0. Let d be k(o). What is d rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 48\/22 + 8\/(-44)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -135?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 - 41. Is -18 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8546701 divided by 1619.\nAnswer: 5279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2941949155.\nAnswer: 5, 59, 619, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3, -10, -31, -72, -139, -238, -375, -556?\n\"Answer: -o**3 - o**2 + 3*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -76 + 301. Suppose 727 + k = q. List the prime factors of q.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(s**7*s)\/s)\/s*s**(-2\/5))**11\/((s**1*s)**8*(s**(-1))**(10\/9)) assuming s is positive.\nAnswer: s**(2597\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/3*-2 + 3. Suppose t + d*i = -3*t + 33, t + i - 9 = 0. Suppose 5*y = 18 + t. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -49*5\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24 + 23.6. Which is the nearest to 0?  (a) t  (b) 0  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -513 - p**3 + 510 + 2*p**2 + 2*p**2 - p. Let a(z) = -z**3 + 4*z**2 + 3. Let g be a(4). Give r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2111212 + -2?\nAnswer: -2111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56972 is divided by 6894.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29866?\nAnswer: 2, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -393, -808, -1235, -1674?\n\"Answer: -6*h**2 - 397*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - (-3 - 9)) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/88434 and -43\/2142?\nAnswer: 619038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*k**6 - 1237*k**5 - 2*k**2 + k - 657 wrt k.\nAnswer: 360*k**3 - 74220*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = -31 + 13. Let x(z) = -z + 1. Let c(j) = -2*j. Let y(f) = t*x(f) - 4*c(f). Calculate y(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7a (base 12) to base 4.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-49)\/(-14) - 4)*(-56)\/4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9062 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 9:50 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 332833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/12 + (-68)\/(-16). What is the second derivative of 4 - 1 - 2 + 18*h**5 + 4*h**4 - 10*h - 3*h**x wrt h?\nAnswer: 360*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 12 + -13 + (-2 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -103*u + 10308563 - 10301147 for u.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.924 + -0.076. Which is the biggest value?  (a) -2\/3  (b) t  (c) -2  (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1982397 divided by -3.\nAnswer: -660799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 0*w = -47*j + 58*j - 80, j = 6*j + 5*w - 50 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - q - 12 = -6*q, 5*p = -5*q + 30. Suppose 3*x = 2*x - w + 5, x - 1 = w. Solve 0 = -3*f + 2*z - z + 12, x*f - p*z = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w**3 - 8*w + 5. Let f be b(2). Sort 1, f, 4, -5.\nAnswer: -5, 1, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118817?\nAnswer: 131, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -5*d + 3*q, -q - 3 = -49422*d + 49417*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.421 - 4.421. Let i = -0.2 + 0.3. Which is the closest to d?  (a) i  (b) 0.4  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -5, -4, 2.782, 3, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -12*w. Let i(y) = 0 + 0 + 2*y. Let l(a) = -11*i(a) - 2*m(a). Let g(u) be the first derivative of -u**3 + 33. Calculate g(l(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 4*t - 6. Let r be h(-4). Let k = r - -13. Calculate the highest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from xjxgigx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 203930876 and 12124?\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.4570757 centuries?\nAnswer: 0.04570757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 divided by -9705?\nAnswer: -8\/3235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*v + v + 0*v - 4*v + 3*v + 0*v - v + 0*v + 3*v + v + 1 - 1 + 3*v - 2*v + 0*v + (-3*v - v + 5*v)*(1 - 2 + 3) as q*v + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -9122200 divided by -91222\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-25)\/(-4))\/((-1)\/4). Let s be (80\/32)\/((-45)\/(-4)). What is the closest to i in s, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16502967 to the power of 1\/2, to the nearest integer?\nAnswer: 4062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 119 and 13838?\nAnswer: 96866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 92\/(-46)*(-2 - 22\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 236 (base 13) to base 7.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of u**5 - 217615*u**4 - 2*u**3 + 1061*u**2 - 21 wrt u.\nAnswer: 60*u**2 - 5222760*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 5) + (-9 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.2 - -2. Let u = 0.5 - -0.1. Let y = t - u. Which is the nearest to 0?  (a) -2\/3  (b) y  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/270 and ((-10)\/60)\/((-45)\/(-417)).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*l + 55 = -y + 4, 31 = 4*l + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-903)\/10*12\/(-9). Let v = r - 121. Sort v, -2, -2\/9, -1\/4 in decreasing order.\nAnswer: -2\/9, -1\/4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 6*o. Let f be (0\/1)\/(1 + -3). Suppose -2*p - y = -7, y - 9 = -f*p - 3*p. What is the units digit of h(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of -716*s**7\/105 + s**5\/15 + 4*s**4 + 3*s**2 - 591*s. What is the third derivative of j(r) wrt r?\nAnswer: -34368*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 308, 321, 334, 347, 360, 373?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3239 to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yoyy when four letters picked without replacement from yyfosojyjyffyjoy?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -1) + 0 + (-18 - -18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from yhhheopdhhdhhh.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8075 = -340*y - 2941 - 9384 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k**2 + 89565*k - 89568 = 0.\nAnswer: -29856, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from qqgq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -67 + 89. Differentiate -19 + 43*h + n - 10 - 7 wrt h.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1262479602*p**3 - 4*p**2 + 1608*p + 8475 wrt p?\nAnswer: 7574877612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 422528501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/6095492 and 17\/8382.\nAnswer: 201151236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 3:59 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*o - 179 = 19*o + 3*p, 3*p = -13*o + 36*o + 1871 for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 28\/485339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - i)*(-i + i - 2*i) - 3*i**2 + i**2 - i**2 + (7*i**2 - 9 + 9)*(-1 + 0 + 2).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 + 1 + 12 + -1. Let l = 7 - f. Let k = 4 + l. Solve -5*p + 16 = k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 442 a factor of 13354146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 227 = n - 1072, 2*n + 2*c - 2594 = 0. Suppose 2*j + 5*f - n = 0, 2*j = -f - 705 + 2011. Round j to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-56)\/(-42)*6\/4. Calculate the remainder when 54 is divided by t\/10 + 754\/65*3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 4*h - 4. Let s be t(-3). Let p = 24 + s. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*w - 100 = -28 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1153, 1474, 2021, 2794, 3793?\nAnswer: 5018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 689329 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p\/(p\/(((p**(-16)\/p)\/p*p)\/p)))\/p*p*p*p\/p**16*p assuming p is positive.\nAnswer: p**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) -3054  (c) 4  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -73*q**2\/2 - 16*q + 77. Let b(s) = -1. Let m(i) = 4*b(i) - d(i). Differentiate m(y) with respect to y.\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*l**2*u**3 + 587075*l**2*u**2 + 10*u**3 - 3653*u - 3 wrt l?\nAnswer: -4*l*u**3 + 1174150*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 t, and 1 o when three letters picked without replacement from {o: 1, c: 1, i: 1, t: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 + 4*c**2 + 7*c - 7. Let g be f(5). Solve 0 = g*v + 2*v + 2*z + 13, 3*v - 3*z = -12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 0 - -1 - ((52 - -52) + -90)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 + 42*n**2 + 88*n + 2. Let h be i(44). Suppose h*t - g = -0 + 11, -2*g = 4*t - 10. Factor -8\/5 - 8\/5*z - 2\/5*z**t + 4\/5*z**3 + 6\/5*z**2.\nAnswer: -2*(z - 2)**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 0 - j - 3*j**2 - 5*j + 15 + 7*j in the form l + y*j + g*j**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.263181847 to 3 dps.\nAnswer: -0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kki when three letters picked without replacement from kkkiiikiikikk.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/3, -0.1, -21.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 35232\/84 - (-9)\/(-21). Let z = o - 395. What is the lowest common multiple of 44 and z?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 + 21*h**2 + 36*h + 24. Let s be n(-19). Suppose 0 = -5*u + 27 - 277. Let o = u + s. Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/5  (b) 0.3  (c) 0.2  (d) -15\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (7 - (9 - 5 - 8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, q: 1, f: 4}. What is prob of sequence wfqw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24719.\nAnswer: 19, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 68 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**5*(h\/(h*h**2\/h))\/h*h)**45*((h**1*h)\/h)**(-5\/7)\/(h**(2\/3)\/h*h**(-1)) assuming h is positive.\nAnswer: h**(3793\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of -2*l**2 - 13*l**2 + 82 + 219*l - 21*l**2 - 208*l. Differentiate f(d) wrt d.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13068 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bka. Give prob of picking 1 a and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*h + h. Let v be (6\/h)\/(-6)*0. Suppose 0 = -2*i + x - 7, 3*x = -i - v*x. Sort 2, 3, i in increasing order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(891) + -1 - (sqrt(891) + (sqrt(891) - -4*sqrt(891)) + -4))**2*-4.\nAnswer: -89356 + 2880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1700) + -5 + sqrt(1700) + (sqrt(1700)*-3 - sqrt(1700)))**2*6 + 2.\nAnswer: 1200*sqrt(17) + 40952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 1081076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5098 = 5*a + 5*j - 5103, 0 = -2*a + 3*j + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -3. Let j be (-2)\/2 + 0 + d. Suppose 4*s + s + 3*c - 4 = j, 3*s - 9 = -4*c. Is -1 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 14575*x + 29608. Determine z(-2).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-1) + (0 - -1). Suppose 4*w = 3*x + 3*w - 11, -d*w = 3*x + 14. Is x*(705\/6 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16388 is divided by 60?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*-1*sqrt(130) + (sqrt(130) - (-1*-1*sqrt(130) - sqrt(130))))*-3)\/(6*sqrt(250)*-2*-5))**2.\nAnswer: 13\/10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -647, -1318, -2015, -2738, -3487, -4262?\n\"Answer: -13*m**2 - 632*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4152 and 480.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -15184 + 10?\nAnswer: -15174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1\/7  (b) -9.13  (c) -0.04  (d) -2  (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -390 + 391.81. Let w = s - 1.78. Which is the nearest to w?  (a) 1\/5  (b) -2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*t + o, -3*t = 4*o - 3*o - 20. Suppose -5 = -2*x - t*p - 21, -14 = -3*x + 2*p. Suppose -21*n + 49 + 35 = 0. Solve n = -w + x*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 3*j**3 + 5*j**2 - j - 1. Let h(y) = y**3 + y + 1. Let v(n) = -h(n) - u(n). Let c(o) = -3*o**3 - 4*o**2. What is -3*c(a) + 2*v(a)?\nAnswer: a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**4 - 1770*j**3 - 583308*j**2 + 187078856*j = 0. Calculate j.\nAnswer: -982, 0, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 20 - 122. What is the remainder when i is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*1.79\nAnswer: 0.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 26611178 divided by -10?\nAnswer: -13305589\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 5*h**3 + 473*h**2 + 282*h + 74. Give o(-94).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -72 by -22330.\nAnswer: 36\/11165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 19 = -2*d - 2*n, -27 = -4*d - 3*n. Suppose -17 - 16 = -d*j. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 1.1, 0.1, 1\/16, 2\/7, 35?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 31, 78, 141, 226, 339, 486?\n\"Answer: w**3 + 2*w**2 + 34*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 5*p**2 - 6*p + 6. Let y be j(-6). List the prime factors of y*((-3)\/(-6) + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18 - -18. Let z(r) = r - 1. Let a be z(x). Let t = -0.8 + 0.3. Sort 1\/2, a, t in decreasing order.\nAnswer: 1\/2, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 752*q**3 - 388*q**2 + 21*q - 45. Let z be m(13). Round z to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 1343  (b) 0.2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of v**7\/42 + v**6\/60 - v**5\/30 + 11*v**4\/24 + 13*v**2 + v. Find the third derivative of g(w) wrt w.\nAnswer: 120*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12)\/4 + 22\/7. Let u = -4.195 - -3.195. Sort -0.7, m, u in descending order.\nAnswer: m, -0.7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = 2*k + 5*f, f + 4*f = 0. Suppose -2*p + 6*p = 4*l + 60, 5*p = 3*l + k. Differentiate -10*w**2 + 13 - p - 10 with respect to w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 75510 and 10907.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1068, -4235, -9514, -16905, -26408?\n\"Answer: -1056*n**2 + n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 1386000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2540 = -9*y + 29*y. Suppose -28*n + 30*n - y = 3*b, 4*n - 4*b = 248. Calculate the remainder when 171 is divided by n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*n + i + 18399 = 18353, n + 2 = 2*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 724 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -99720*k**3 + 4*k**2.\nAnswer: -4*k**2*(24930*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oaacmocvokcm. What is prob of sequence om?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 - 4. Let a be j(3). Suppose a*z - 20 = z. What is the units digit of z - 0 - (2 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 plus -0.227?\nAnswer: 14.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5705910 and 5705910.\nAnswer: 5705910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 953467890?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (185 - 177) + -5 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -64110*t + 62801*t - 95557 for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 16. Let s(v) be the first derivative of 0*v**4 + 0*v + 1\/3*v**2 + k - 4\/15*v**5 + 4\/9*v**3 - 1\/9*v**6. Factor s(r).\nAnswer: -2*r*(r - 1)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-4\/5))\/f**11*(f\/((((f**(-2\/9)\/f)\/f)\/f)\/f)*f)**44 assuming f is positive.\nAnswer: f**(11906\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*u + 35*u = -168. Let m be ((-39)\/(-26))\/(6\/640). What is the greatest common divisor of u and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.09 and 11624.038.\nAnswer: -1046.16342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + 5*n**2 + 6*n - 7. Let l be 8\/(-28) - 16836\/(-28). Let c = 607 - l. Give y(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 14, v: 5}. Give prob of sequence ssvv.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 37362445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -143*j**3 - 65*j**2 - 65. Let t(h) = -9*h**3 - 4*h**2 - 4. Give -65*t(x) + 4*v(x).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -72372*m**4 + 2292*m + 5 wrt m.\nAnswer: -868464*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8682143137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 5*w - 31, -3 - 13 = -o - 2*w. Suppose -o = -a - a. Let p be (a\/2 + 0)*2. Solve -5*b = 2*l + 17, 0*b = -p*b - l - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(13) - (-6*sqrt(143) - sqrt(143) - sqrt(143))\/sqrt(11)).\nAnswer: -4 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 829.362 rounded to zero dps?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v - 10. Let o be b(-12). Let x be ((-4)\/8*o)\/(-1). Factor -2 + x - 2*s**3 + 4 + 5*s**2 + 3*s**3 + 7*s.\nAnswer: (s + 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 517 = -m, 35*m + 1993 = 31*m + 3*k. Let t = 521 + m. Calculate the remainder when t is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6  (b) 5\/44  (c) 4\/7  (d) 0.2  (e) -0.25  (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1138935074 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -220 + 226. Put -4, 2, s in ascending order.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8838 - (-2 - (-12)\/1*(-14)\/56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*a + 302 = -4*w, 0 = 3*w + a + 223. Suppose -152*b + 23*b + 11997 = 0. Let v = b + w. What is the remainder when 31 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, k: 13}. Give prob of picking 1 v and 1 k.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yxmxmqwmwmmqymm. What is prob of sequence mxwm?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 473225, 473224, 473223, 473222, 473221, 473220?\nAnswer: 473219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (t + 0*t - 3*t + (5 + 1 - 5)*(0 + 0 - 2*t))*(-81 - 3*t + 81 - 5*t**2) as g + n*t + x*t**2 + l*t**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103676404.\nAnswer: 2, 13, 17, 117281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 22.6, 0, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4281240?\nAnswer: 2, 3, 5, 35677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24450655 and 2410.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l\/(l*l*l**(-35))*l*l*l*l)**(-1\/16)*(l**(1\/7))**(-1\/60))**7 assuming l is positive.\nAnswer: l**(-1051\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -3*y**5\/2 + 192*y**4 + 195*y**3 - 192*y**2 - 387*y\/2 = 0.\nAnswer: -1, 0, 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2654 = 20*s - 11474. Suppose 14*k - s + 399 = 0. Solve 4*c = -f - 1, -f = k*c + 4*f + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5429 - -5450. Calculate the remainder when 168 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 less than -23249076292555.2?\nAnswer: -23249076292555.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 180868\/3 or 60289?\nAnswer: 180868\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*j = 13*j - 3. Sort -2, -7, j, 2.\nAnswer: -7, j, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 21252*v**2 + 16. Let q(s) = -2*s. What is q(z(l))?\nAnswer: -42504*l**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a - -121?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -6*f - 7. Give m(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 22006430 to the power of 1\/2, to the nearest integer?\nAnswer: 4691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 64996543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + 0*a - a + 0*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 105983*h**4 - 63*h**2 + 435?\nAnswer: 2543592*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2, 5, -1\/4, 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 minus -1571183?\nAnswer: 1571182.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73448?\nAnswer: 2, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 - 24*r + 24. Let d be a(24). Suppose 16 + d = 10*g. Solve g*x = 1 - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -30 + -10. Let n = 47 + t. Suppose -2*k - n = -37. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 + 9*v - 11. Suppose y + 24 = -y. Let n be b(y). Let m be (-3)\/(-4) - n\/(-20). Put -0.2, m, -4 in decreasing order.\nAnswer: m, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -39*k**2 - 124*k - 374. Let w(c) = 8*c**2 + 25*c + 75. Let l(u) = -6*b(u) - 29*w(u). Calculate l(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -26157 + 26156.99972698. Round u to 6 decimal places.\nAnswer: -0.000273","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/4462 and 103\/1224916.\nAnswer: 28173068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-4\/15)*d*d*d*d**(-13)\/d*d)**7 assuming d is positive.\nAnswer: d**(-1078\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/11, 13989, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*d**2 + 5*d**2 + 8*d**2 + 14*d**2 - 31*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/4 + 30\/4. Let v(y) = 5*y**2 + 5*y + 13. Let j(r) = -r**2 - r - 3. Let o(p) = k*j(p) + 2*v(p). Does 2 divide o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 31?  (a) 2\/9  (b) -0.5  (c) -4  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -0*c - 5313. Let r = c - 900. Suppose -5*s = -4*q + r, -2*s + 4*s = 2. What are the prime factors of q?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3 + 4*i.\nAnswer: -4*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - 7*x - 7. Suppose 4*m + 9 = -11. Let r be j(m). Let n(l) = -l**3 - l**2 + 2*l + 2. Let u be n(-2). Solve -r*i = -u*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 298, 17 in decreasing order.\nAnswer: 298, 17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156 is divided by 148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 1:25 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32 (base 10) to base 3.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 49*f**2 - 22. Let s be w(6). Suppose 8*n - 2130 = s. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*y + 14*y = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2494*k - 41882. What is n(-17)?\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/((c**(-1\/2)\/c*c)\/c))\/c)**(9\/4)*(c**(-2\/3))**(-15))\/((c**(-2\/5))**(-10\/9)*(c*c**2\/c*c*c)\/((c*c*c**1)\/c)) assuming c is positive.\nAnswer: c**(787\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*n**2 + 5*n**2 + 5*n**2 + (-n + 2 - 2)*(7*n + 5*n + 6*n) + 0*n**2 + n**2 - 2*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 6, t: 2, e: 4}. Give prob of picking 1 t, 1 u, and 2 e.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n*z**4 - 420093*n*z**2 + 182570*z**6 wrt z?\nAnswer: 24*n*z + 21908400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of d**7\/945 - d**6\/60 + 29*d**5\/270 - 13*d**4\/36 + 2*d**3\/3 - 7*d**2. Find z, given that c(z) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 - 11 - i**2 + i**3 + 6 + 5*i. Let o(k) = -k**3 - k**2 - 4*k + 4. Let l(v) = -5*m(v) - 6*o(v). Does 17 divide l(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2249 - 2009. Which is greater: 239 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 - 2*k + 17. Let h be l(16). Let s = h + -92. Suppose -19 = z + 2*d - s, -3*z = -5*d - 379. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10601 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 58813, 58761, 58709?\n\"Answer: -52*u + 58865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -22 * -8.88054.\nAnswer: 195.37188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -256*v - 21 = -263*v. Solve 2*u = 5*f + v, 3*f - f + 4*u = -6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 278987879 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 - 3*y + 1. Suppose -2*i + 0 = 8. What is x(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1172096047 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 10\/9  (b) -29  (c) -7  (d) -1\/3  (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 36192180137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**7*o\/(o\/(o*o**(-3\/2))))\/(o**(2\/5)*o)**28 assuming o is positive.\nAnswer: o**(-327\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -67*x. What is a(1)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -34*p + 3086. What is z(91)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = w - 30, 5*n + 122*w - 119*w = -29 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 11 times -79\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -22ab2 (base 12) to base 16\nAnswer: -b5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 - 9*v - 3. Let u(y) = -y**2 - 34*y - 101. Let g = 368 + -371. Let n be u(g). Give w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -111 - -114. Let z(k) = 6 + 11*k**2 - 3*k + 2*k**2 - 16*k**2 + k**d. Determine z(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + 2*y - 4. Let l(b) be the second derivative of 1\/6*b**3 - 4*b - 3\/2*b**2 + 0. Determine -2*h(p) + 3*l(p).\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 716 divide 19494152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -5*g + 29. What is the remainder when m(-2) is divided by (9\/(-2))\/((-8)\/16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t*t*t**(-2\/13))**(7\/11)\/((t\/((((t*t\/(t\/t**(-3\/2)))\/t)\/t)\/t))\/(t**(-1\/27)\/t)))**(-22) assuming t is positive.\nAnswer: t**(23857\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00066399 to five decimal places.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -5*k - 5*a, k + 4*k + 3*a = 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 2\/7  (b) -2\/19  (c) -4  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 47\/4 of a micrometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 27371739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2257 >= 2249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -266*v + 73*v + 59*v + 64*v + 68*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*i**5*y + 9*i**5 - 41*i**2*u*y - i*u*y - 22*i*y + 2*u*y - 45 wrt i.\nAnswer: 60*i**3*y + 180*i**3 - 82*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8516 - -0.4.\nAnswer: -8515.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 6*k + 2. Let t(u) = -u**2 - 18*u - 6. Let l(n) = -t(n) - 3*y(n). Let d(c) = 2997*c**2. Determine l(d(b)).\nAnswer: 8982009*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 + 26*m**2 + 50*m - 51. Determine r(28).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*u - 180*u + 500 + 2047 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -631, -1544, -2739, -4222, -5999, -8076?\n\"Answer: -x**3 - 135*x**2 - 501*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, b: 2, a: 3}. Give prob of picking 1 b and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 3*-2*(-4 + sqrt(252) + sqrt(252)*2 + -4 + sqrt(252))**2 + -5.\nAnswer: -24579 + 2304*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -280, -220, -148, -64?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (142*v - 15*v**2 - 142*v)*(2 + v - 2 + (-1 + 0 + 2)*(3*v + 0*v - v) + 4*v - 11*v + 2*v - 4).\nAnswer: 30*v**3 + 60*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4 + 0*b + 0*b - 7 + 3*b**2 wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -144115, -295311, -446519, -597745, -748995, -900275, -1051591, -1202949?\nAnswer: -1354355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/(15\/5) - 2)\/(-3). Solve a = 2*i + 8*i - 7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**3 - 4*m**3 - 2*m**3 + (125*m + 577 - 577)*(-1 - m**2 + 1) + (-2*m**2 + 2*m**2 - m**2)*(5*m - 2*m - m) + m**3 + 0*m**3 + 0*m**3.\nAnswer: -131*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -14785*-2\nAnswer: 29570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, -0.4, 2, -79, 15 in increasing order.\nAnswer: -79, -1, -0.4, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - a + 127 = 0, -5*r - 5*a + 135 = -0*r. Suppose 0 = -4*q + 24 - 0. Solve -r = d - q*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.7778kg in micrograms?\nAnswer: 56777800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*p - 265*p**4 - 5 + 255*p**4 - 3*p wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8818 = 21*m - 8923 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 3*y - 4121882, 2*b = 3*y - 1936040 - 2185847. Let a = y + 8846041. What is a rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 - -11. Sort g, 1, -1.\nAnswer: g, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-131 - 30 - 108)*(-5*n + 1 - 1)*(0 - 6 + 1) in the form g*n + h and give g.\nAnswer: -6725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.24?  (a) -2\/11  (b) 4  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 575*q - 174*q - 1306*q - 881*q.\nAnswer: -1786*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -4*v + 26 - 4, 4*v + 5*z = 57. Suppose 0 = 5*k - v*k + 27. Let s = -304 + 328. What is the remainder when s is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -680, -2748, -6204, -11054, -17304, -24960, -34028?\n\"Answer: -n**3 - 688*n**2 + 3*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 PM and 10:01 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 49151784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-4) + (-13)\/2. Let b = -9 - g. Let v = -2\/1255 + -8777\/5020. Is b at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -107814780.99737 + 107815425. Let y = 644 - i. What is y rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 362 - 236. Let a be (-20)\/2*f\/15. Does 11 divide a\/35*(-30)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -997.44827 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 551744103?\nAnswer: 3, 183914701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 207391, 829611, 1866677, 3318589, 5185347, 7466951?\n\"Answer: 207423*q**2 - 49*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -5*x**3 - 161*x**2 - 12*x + 640. Calculate f(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 4 - (3 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10431312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13\/23 in -1, -5.29, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jcjcjczczc. What is prob of picking 2 z, 1 j, and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 0.12, -1, -29\/3, 2, -3241?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 - -3. Let l = 0 + m. Let b = l - -1. Which is smaller: b or 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppv when three letters picked without replacement from {r: 4, p: 2, v: 6, j: 1, q: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(80)*-2 + 2 + 1 + (sqrt(80) - (sqrt(80) + -1 + (sqrt(80)*1 - sqrt(80)) + sqrt(80) + sqrt(80))**2).\nAnswer: -717 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 - 85*s + 1417. Determine f(50).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -510 + 510 + q + q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8 - 2)*((-9)\/(-135))\/1. Which is the closest to 2\/39?  (a) -2\/13  (b) 2  (c) u  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 + 147*b - 1112. Let o be c(8). Solve 0 = -z + 5*a - 28, -31*z + 26*z + 5*a - 40 = o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 3*p**4 - p**2. Let b(m) = -3*m**5 - 5*m**4 + m**4 + 2*m**2 + 2*m**5. Let f(g) = -3*b(g) - 4*y(g). Find the third derivative of f(n) wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -87*q + 6879. Give g(79).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -141000 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(1\/20))\/i**(-8) assuming i is positive.\nAnswer: i**(179\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * 31.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 42 by 185.\nAnswer: 42\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -36a + 162a?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(-3*(sqrt(5) - sqrt(15)\/sqrt(3)) - sqrt(5)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-12)\/(d*d*d*d*d*d**(2\/3)*d*d))**(2\/51)*((d*d**(-2))\/d**(-8\/7))\/((d**6*d)\/(d**(3\/5)\/d)) assuming d is positive.\nAnswer: d**(-42992\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/1)\/(-10*5\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w - 2145 - 2139 + 4284.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 8*l + 4. Let b(n) = n - 3. Let a be b(0). Let k(j) = 7*j + 3. Let h(v) = a*u(v) + 4*k(v). Let x(o) = -63 + 13*o**2 - 8*o**2 + 63. Give x(h(i)).\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -302*v**2 - 6976780*v + 554448.\nAnswer: -2*(v + 23102)*(151*v - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2674621\/390 + -6858. Let g(d) be the third derivative of 1\/39*d**4 + 0 - 1\/78*d**5 + 0*d - 25*d**2 + k*d**6 - 1\/39*d**3. Factor g(m).\nAnswer: 2*(m - 1)**2*(2*m - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/(x*x*x**(-25))*x*x\/(x**(-22)\/x*x)*(((x**12*x)\/x*x)\/x*x)**(2\/5) assuming x is positive.\nAnswer: x**(266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -73 - -74. Let n be (-3 - -5)\/2*(q - 3). What is the tens digit of ((-161)\/(-49) + 1)\/(n\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 93 in 1, 2\/3, -3\/16, -1\/7, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 + 36*t - 44. Let l be y(35). Let q = -9 - -4. What is the fourth biggest value in 0.2, l, -1, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 4*m**2 - 3*m + 6. Let j(l) = 7*l**2 - 7*l + 14. Let y(p) = -6*j(p) + 14*k(p). Let g(v) = 0*v**2 - 2*v**2 + 4*v**2. What is y(g(d))?\nAnswer: 56*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 9:24 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1221130 (base 4) in base 10?\nAnswer: -6748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 208 divide 56096951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26704.9982727 + 26705. What is b rounded to 5 dps?\nAnswer: 0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3240)*-1 - (sqrt(160)\/(sqrt(12)\/sqrt(3)) - sqrt(40) - sqrt(40)))\/(3*sqrt(32)\/sqrt(4) - (sqrt(8) - (sqrt(128) - sqrt(128)*-3) - sqrt(8))).\nAnswer: -8*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -ac (base 16) in base 14?\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 168646 and 3450406.\nAnswer: 4558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 - 8*s - 10. Let q be p(-6). Suppose q*n + 28 + 4 = 5*r, r - 5 = -n. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 61736440*n**6 - 3*n**4 + 45249*n**2 - 29*n wrt n?\nAnswer: 7408372800*n**3 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 204 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (7 - 1) - (-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (7 + (-5181)\/(-5))\/((-5)\/(-25)).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 5*n**2 - 3*n + 2. Let c be l(2). Suppose 0 = -2*a - 2*a + c. Calculate the remainder when 13 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000851 to six dps.\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 5, -13 = 3*d - c + 1. Let s be d\/(-4) - (-621)\/276. Solve 3*j + 6 = s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 10*h = -8*h + 1, -8 = -4*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*s - 8. Suppose -s*o = 2*o. Suppose -10 = -2*y + j, -y - 3*y = -j - 16. Solve 0 = 4*a + q + 14, y*a + a - 4*q + 4 = o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -432086*-0.4\nAnswer: 172834.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, s: 2, l: 2, n: 1, c: 4, d: 3}. Give prob of picking 1 n and 2 l.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 2)*(-1)\/1. Let s = 7 + -7. Let a = r + s. Solve 0*u = u + a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -26*z**2 - 204 wrt z?\nAnswer: -52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 74106 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b. Let s(u) = u**2 - 59. Let t(g) = -19. Let x(m) = -2*s(m) + 7*t(m). What is i(x(a))?\nAnswer: 2*a**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 5. Suppose 0*f = k*f - 28. Let c be (f - 7)\/(0 - -1). Solve c*a = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 4*b + 40, 50 = 5*c + 2*b + 15. Let f = -12\/467 + 1952\/3269. Let u(x) = -x - 42. Let l be u(-42). What is the nearest to f in l, c, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*l - 2*l**2 + 18 + 9*l + 4*l**2.\nAnswer: 2*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -133 - -101?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20870*z = 19721*z + 57450 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -131 (base 7) to base 2\nAnswer: -1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.3 + -5.1. Let z = -27 - -27.1. Let y = z - 0.6. Which is the third biggest value?  (a) k  (b) -12  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 3:45 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppp. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 120, 2, 0.3, 4, 0.5, 3 in decreasing order.\nAnswer: 120, 4, 3, 2, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -28618764185 - -0.244\nAnswer: -28618764184.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyqydqqqyobzzyyz. Give prob of sequence dby.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 - 5) + 6 + -1. Let l be -5 + k - 0 - 0. Let i(v) = 2*v**2 - 2*v + 1. What is the tens digit of i(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqwtjjq. Give prob of sequence twtt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from psssp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the third derivative of 0*u - 1\/204*u**4 + 0 - 1\/510*u**5 + 2\/51*u**3 - 12*u**2. Determine j so that a(j) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -177*i - 3 = -488 - 577 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12)\/102 + (-62416)\/2958. Let g be (1\/(-29))\/((-1)\/(-42)). Let j = q + g. Find the common denominator of 39\/7 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5*t + 3 = 0. Let n(o) = 6 + 3*o + 2886*o**2 - 2879*o**2 - 4. List the prime factors of n(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3374 - -115?\nAnswer: 3500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (12\/(-5))\/(122\/(-305)). Let i be (v - (7 - 2))*1. Let s be (2 - 1)\/((-2)\/13). Does s = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + p - 18, w - 3*p + 4 + 0 = 0. Suppose 2*x - 35 = -3*x. Let l = x - w. Solve 3*b - 2 = 10, 0 = -l*j + 5*b - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*a - 20 = -7*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {p: 1, u: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20.99275349 - -106.99274579. Let n = k + -86. What is n rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5cb6 (base 13) in base 5?\nAnswer: 410122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 728, -2, -1, 7 in decreasing order.\nAnswer: 728, 7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 1. Let q = 3278\/13 - 252. Let c = 8\/33 - -1\/11. What is the third biggest value in c, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -250300 - -250302. Suppose 2*x = -x - 2*t - 10, -5 = t. Solve -r + 2*p + x*p - m = 0, -3*r - p = -15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**4 - 1456*t**3 - 7180*t**2.\nAnswer: -4*t**2*(t + 5)*(t + 359)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**3 + q**3 + 0*q**3)*(-3*q + 0*q + 4*q) - 28*q**4 - 46*q + 24*q**4 + 246*q.\nAnswer: -3*q**4 + 200*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 4  (b) 2\/5  (c) -10  (d) 1533\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19557826?\nAnswer: 2, 9778913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1\/4, -0.3, -2.5, -196, 2 in descending order.\nAnswer: 2, 0, -1\/4, -0.3, -2.5, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 303598227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5075 divided by 175.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g + 3*z - 644, 0 = -3*g - 2*g + 5*z + 660. Does 7 divide g\/(-3)*(2 - 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76152 is divided by 24926.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1376\/5 + 5023781\/18255. Are c and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 5*l - 2*l + 36, -3*s + 52 = 4*l. Suppose -s + 0 = 4*t. Let o = t + 11. What is the least common multiple of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 2 p when four letters picked without replacement from iubppipiyuibkk.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 + 7*b**2 + 5*b - 7. Suppose -4*a = 15 + 5. What is the remainder when z(a) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*p**3 - 2*p**3 + 2*p**3)*(-p + 4*p - 2*p) - 2*p**4 - p**4 + 2*p**4.\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -9*l + 375. What is the hundreds digit of g(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 - 12 - 5*a + (-a + a - a)*((1 + 5 - 4)*(-2 - 2 + 3) - 3 + 3 - 2) to f + c*a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-6)\/(-2)*(3 + 242\/66)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84913?\nAnswer: 84913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 91.144 and -0.1.\nAnswer: -9.1144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -111\/20 and -107\/3502.\nAnswer: 35020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*w**2)*(702 - 1745 - 1754).\nAnswer: 5594*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5719 and 13034.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -96, 103, 5.\nAnswer: -96, 5, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -58*q + 117. Let y(i) = 126*i - 234. What is -13*v(w) - 6*y(w)?\nAnswer: -2*w - 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 78 - 43.3. Let i = -37.88 + u. Is -1 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 (base 14) in base 3?\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 277486?\nAnswer: 2, 11, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 + c. Let b(h) = -9*h**3 + 5*h. Suppose -155*t = -138*t + 17. Calculate t*b(n) + 5*r(n).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(156)*2 + 6*-3*sqrt(156))*2)\/((sqrt(60)\/sqrt(180) + sqrt(132)\/(sqrt(44)\/sqrt(4)))*6).\nAnswer: -60*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*n**4 - 2*n**4 + 1 - n**4 - n**2 + 0 as o + v*n**4 + g*n**3 + k*n**2 + i*n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 16) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 - 6*h + 9. Let l be n(6). Suppose -l*m + 2896 = -8435. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1674821851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 plus -1465567?\nAnswer: -1465566.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = q + 24, -3*z - 2*q - 12 = -4*z. Suppose 5*c - 60 = r + z*r, 5*r = 4*c - 51. Suppose -c = s - 36. What is the remainder when s is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 - -6.8. Let t = -2.2 - -2.1. What is the third biggest value in t, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hgh when three letters picked without replacement from bbbhjkbbgggjjjbhb.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.07 + 14.93. Let t = n - 14.83. Round t to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32 + -16. Suppose -3*l - 5*s + 15 = -2*s, -o = 4*s. Suppose -4*q = -f - 143, -6*f = -7*f + 1. What is the greatest common divisor of l and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5124442*s**2 - 5739675*s wrt s?\nAnswer: -10248884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 38817396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 1*(3 + -618)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a + 7. Let v(y) = -y. Let x(c) = l(c) + 3*v(c). Let f be x(7). Let w(i) = -i**2 - 4*i + 37. Is w(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 34*k**3 + 43998*k**2 + 46550*k + 2586 = 0.\nAnswer: -1293, -1, -1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/2*(-7)\/(-21). Suppose 0*z = 5*z - 60. Let r be ((-22)\/24 + 3\/z)\/6. Which is the second smallest value?  (a) 4  (b) r  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 1:58 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11791*o**4 - 21437.\nAnswer: 47164*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.05?  (a) 9\/2  (b) -36  (c) 0.1  (d) 0.2  (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of n**5\/300 + n**4 + 120*n**3 - 10*n**2 + 1. Determine s so that p(s) = 0.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21300555 by 5.\nAnswer: -4260111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -6*8\/12 + 6. Is (4\/8)\/(o\/57068) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8\/7?  (a) 1\/73  (b) 52.5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3*g**3 + g**2 - 1. Let l(w) = -6*w**3 + 161*w**2 - 2*w - 1113. Let k(d) = -3*f(d) - l(d). What is the second derivative of k(x) wrt x?\nAnswer: 90*x - 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 AM and 1:44 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 8*c + 12. Let r(i) = 9*i + 14. Let x(l) = -7*m(l) + 6*r(l). Let f(k) = -127*k**2 - 1. Calculate x(f(h)).\nAnswer: 254*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 76.9342 to zero decimal places.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1081160, -1081115, -1081070, -1081025, -1080980, -1080935?\n\"Answer: 45*n - 1081205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1192*k + 34 - 34 - 1193*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4296369 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 + 59 - 34*u**2 - 79*u**2.\nAnswer: -113*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*r**2 + 2 + 0*r**3 + 8 + r**3 - 9 to n*r**3 + u*r + j*r**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 600\/88 + (-4)\/(-22). Suppose 2 = 3*v - y. Suppose v*a - 57 = 144. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 202 - 189.7. Let d = -16 + p. Round d to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 6*v - 6*v + 3*v - 4*v + 4*v**3. What is h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*f + f**2 + 8*f + 3*f + (-4*f + 4*f - 2*f)*(1 - 1 - f).\nAnswer: 3*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*j - 17*j - 11*j - 9*j + 44*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q*q**(-4))\/q)\/q)\/((q*q**(1\/2))\/q))\/((q\/((q*q**0\/q)\/q)*q)\/q**(-1\/5)) assuming q is positive.\nAnswer: q**(-87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhkzhzhkhf. Give prob of sequence zhf.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w - 2. Let p be g(2). Suppose -f - f + 24 = p. Let l(x) = x**2 - 9*x - 4. What are the prime factors of l(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 559569 is divided by 656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -28\/2955 and -133\/360.\nAnswer: 70920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/sqrt(112)*-3.\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 12 = -2*d. Solve -2 - 13 = -d*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -1  (b) 9  (c) 0.8  (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 991 is divided by 63?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.105 - 47.105. Let i = j - -54. Let r = -10 + i. What is the second smallest value in -4\/7, r, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 1 + (76 - 27) + -76?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89663.\nAnswer: 7, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of g**5\/20 - g**4\/2 + 2*g**3 - g**2\/2 - 7*g. Let d(t) be the first derivative of p(t). Find o such that d(o) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*p + 154*p**2 - 159*p**2 + 29*p - 528*p**2 - 57*p.\nAnswer: -533*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -22\/13?  (a) -2\/15  (b) 5  (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 81 + -143. Let d = 33 + t. Let x = d + 29.38. Round x to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 334391 is divided by 111462.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10659, 8798, 6937?\nAnswer: 5076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -118*m**2 + 667*m. Let z(o) = -2*o**2. Give s(z(y)).\nAnswer: -472*y**4 - 1334*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 95638 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) - -5*-1*sqrt(88) - -3*2*sqrt(88))\/(4*(sqrt(800)*2 + sqrt(800))*2) + -4)**2.\nAnswer: -sqrt(11)\/15 + 230411\/14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 4*u**2 + 12)*(0 - 3 + 5 + (-4 + 6 - 1)*(-5 + 3 + 3) + 1 + 1 + 0 - 3 + 1 + 3).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/39 + 402483\/234 + 1. Let l = c + -1704. Calculate the common denominator of l and 19\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 97*m**3 - 441*m**2 - 2*m - 4. Let j(r) = 96*r**3 - 442*r**2 - 3*r - 6. Let q(i) = -2*j(i) + 3*x(i). Find the third derivative of q(p) wrt p.\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2312395763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eemyg. What is prob of sequence yem?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12)\/(-5)*((-700)\/15)\/7. Let j be t - ((-4)\/12)\/((-3)\/27). Which is smaller: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30307558?\nAnswer: 2, 15153779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 262\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.7 + 4. Let q = m - 0.3. Let v = q + -0.2. What is the second smallest value in -2\/11, 3, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 11:43 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.62497 meters in millimeters?\nAnswer: 93624.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.57 and 2907.54.\nAnswer: -13287.4578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*b**3 + 10*b**3 + 23*b + 8 - 8 + 13*b**3.\nAnswer: -2*b**3 + 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 3*i = 2*p - 20, -i = -p + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of b**3\/6 - b**2\/2 + 4*b. Let z be n(3). Put -2, -3, z in increasing order.\nAnswer: -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -155?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b - 964?\nAnswer: -955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-50))\/(29\/870) - (-10 - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 at most as big as 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.013677867 rounded to 5 dps?\nAnswer: -0.01368","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/174587855 or -1?\nAnswer: -2\/174587855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2536216 divided by 6.\nAnswer: -1268108\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -14*i**2 - 3*i - 17. Let n be j(-6). Let v = -168 - n. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*w - 1)*(0 - 3*w + 0 + (-2 + 2 + w)*(-4 + 5 - 2))*(3695*w + 15 - 1788*w - 1860*w).\nAnswer: -376*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14)\/(3 + 226797\/(-75597)). Let s be v\/(-28) + 1\/(-4). What is s rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28960*g**2 - 2*g + 129.\nAnswer: 57920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1744532*p**3 + 15*p**2 - 432591367 wrt p?\nAnswer: 5233596*p**2 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {c: 6, v: 6, b: 1, m: 1, w: 6}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 72, 123, 190, 279, 396, 547, 738?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 30 = -4*b + 5*g, 3*g + 4 = b. Which is bigger: b or 36\/5?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 378 + 99 = -228*x - 4539 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2880) - (sqrt(180)\/sqrt(4) + -5))**2.\nAnswer: 450*sqrt(5) + 10150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 65944, 66401, 66856, 67309?\n\"Answer: -s**2 + 460*s + 65485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -63.98202 rounded to two dps?\nAnswer: -63.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 200*a**3*k**3 + a**3*k - 168*a**3 + 2*a**2*k - 16*a wrt k?\nAnswer: 600*a**3*k**2 + a**3 + 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4600*m*z + 65668*m + z wrt z.\nAnswer: 4600*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + 224\/3 + (-3)\/(-9). Suppose -4*u - 1 = -45. Calculate the greatest common divisor of u and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21674943.\nAnswer: 3, 47, 51241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -24*r**2 - 48*r + 48. Let n(l) = -l**2 - l + 1. Calculate m(o) - 48*n(o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -88 + 132. Calculate the remainder when r is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1683776 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 v(j) = 3*j + 1. Let g be v(-1). Let s = g + 8. Let i(l) = 11*l**3 - 13. Let t(d) = 5*d**3 - 6. Let p(u) = s*i(u) - 13*t(u). Factor p(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-4\/11)\/((i*i**(2\/29))\/i*i) assuming i is positive.\nAnswer: i**(-457\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 8 + 1 = 0. Let y = 80 + -76. Find the third derivative of 11*l**2 - y*l**5 - 3*l**3 - 11*l**5 + q*l**3 wrt l.\nAnswer: -900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 89888, 95243, 100598, 105953?\nAnswer: 111308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**3*l**(-8))**(2\/99) assuming l is positive.\nAnswer: l**(-10\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 29*z**2 + 28*z**2 + 34*z**2 - 92*z**2. Let h be -1 - 0\/(2 - 4). Let y(c) = -c**3 - 2*c**2 - 5. What is h*y(q) + 2*k(q)?\nAnswer: q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00361768434 rounded to seven decimal places?\nAnswer: 0.0036177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1173191 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 174367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 9\/7 + (-3 - (-95)\/35). Suppose -4*z + 23 = 5*x, -5*z - a = 2*x - 0*z. Let q(y) = 7*y**2 + 9 + x*y - y**2 - 7*y**2 + 1. Give q(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 58.6555, -4, 3, 1\/20, -1\/3?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 11 = -7. Solve -3*b - d = -14, 0 = -4*b - q*d - 0 + 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -881 * 751.8\nAnswer: -662335.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*a - 613 = -469 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - r**2 + r + 0*r**2 + r**3 + 4 + r**2. Let d be k(0). Find o, given that -3 + o**3 - 1 - o**d + 4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 426, 898, 1368, 1836, 2302?\nAnswer: 2766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6829259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-290)\/(-25) + -12)*1*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -731*s**2. Let k(c) = c**2 - 30*c. Give k(x(d)).\nAnswer: 534361*d**4 + 21930*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 44 - 42. Solve 0 = -3*m + f, -4*m + f - t = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -141*j - 255. List the prime factors of u(-10).\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -5633, -10513, -15393?\n\"Answer: -4880*g - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 7, g: 1, k: 1}. What is prob of picking 2 y?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 + 4*x**2 - 6*x + 1. Let o be w(-5). Suppose -o*s = -5*s. Solve 4*z + 3 + 1 = s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(147))**2 - (sqrt(12)\/((sqrt(4) + (sqrt(4) - -2*sqrt(4)) + sqrt(4) - sqrt(4)) + sqrt(4)))**2.\nAnswer: 14697\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -879138*k**2 + 24752*k - 1568\/9 = 0. Calculate k.\nAnswer: 28\/1989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 14*c. Let u(x) = 0*x + 15*x - 15*x + 3*x**2 + 3*x**2. Determine f(u(b)).\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 137223882 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 546287?\nAnswer: 7, 78041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/28 and 43\/424?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of 7\/24*w**4 + 0*w - 1\/120*w**6 + 0 + 1\/15*w**5 - 2*w**2 + 0*w**3. List the prime factors of r(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 602404 is divided by 1581?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 498, -4, 3, 1 in decreasing order.\nAnswer: 498, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*p = -3*t - 134*p - 16, -2*t = 3*p + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-3 - (-3 - -2 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sthh when four letters picked without replacement from shnnlht.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 643869.\nAnswer: 3, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -2 - -4 - (2 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + 22*l**2 + 6*l + 134. Calculate the smallest common multiple of 4 and w(-18).\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of g**4\/4 - 11*g**3\/3 + 8*g**2 - 45*g - 83. Let l be p(10). Solve l*f = 12*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 - 7*a + 8. Let z be w(-8). Suppose n + 210 = -z*n. Is n\/(1 - 2) - -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18774410779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3437 or 269?\nAnswer: 3437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-250)*315\/882*-7.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(2\/7))**(-1\/22)*x*x*x**(-5)*x\/(x\/x**(1\/11))*(x*x\/(((x**(-2\/3)*x*x)\/x*x)\/x))**(-13)*(x*x*(x\/((x*x*x**2)\/x))\/x)**(-5) assuming x is positive.\nAnswer: x**(-9071\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 41183162 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2 + 9*u.\nAnswer: -3*u*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2*l = 5, 2*n + 0*l = -2*l + 6. Let p(h) = -2*h**3 + 3*h - 2. Let s be p(n). Is (-6)\/(s - 2) + 2817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 343045 = 596955. What is z rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5939.27 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 14 + 42 = 0. Let w be (0 - 1)*-8*p. Let l = w + -39. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -43 - -128\/3. Let d(i) be the first derivative of i**4\/4 - 3*i**3 + i + 11. Let w be d(9). Is k >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 6. Suppose -3*a = -2*x - 6, 5*a - q*x - 10 = -9*x. Suppose -y - 4*c - 13 = -a*y, -5*y - 2*c = -65. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 2 + 6)*(3*p - p - 4*p) - 12*p - 4*p - 6*p + (2*p - 5*p + 4*p)*(3 - 4 + 0) to n*p + c and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 52, 121 in descending order.\nAnswer: 121, 52, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 3*k = 9, -5*k = -3*c + 717. Suppose -286 = -4*o + c. List the prime factors of o.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 11, 2, 36, 0.3, 0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15957733157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 20 = -4*u, 4*m + 5 + 15 = 3*u. Is (-60)\/(4\/8 + m) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -4*i - 35. Let w be x(-10). Let q(s) = -2*s + 5. Let n(g) = -2*g + 1 + 3*g + 3 - 7. Let o(k) = -2*k - 17. Let d be o(-10). Determine d*q(v) + w*n(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2*o**2 - o**2 - 13 + 4*o**2. What is the tens digit of i(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3  (b) 1\/2  (c) 15\/13  (d) -0.2  (e) 1  (f) -7422\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 516\/(((-10)\/2)\/1). Let s = -104 - r. Let a = -0.5 - -0.1. What is the closest to 1 in 5, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 + 7*l + 48. Let v be t(11). Suppose -5*q = 4*r - 48, v*r = 2*q + 56 + 20. What is the remainder when 24 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 141 + -29 + 1 + 271 + -265 + -10\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -2*m**3 - m**2 - 2*m + 1. Let s be p(1). Let y be (-1111)\/(-121) + s\/22. Let r be 0*((1 - 0) + y\/(-6)). Solve r*d + 5 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 - -27. Let j be (8 - (3 - (-2 - -4)))*14. Suppose -j = -11*r + 34. Solve -5*g + 2*g + r = 0, -y + 2*g - s = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 + -1 + -11)\/(6\/(-978)). Let s = 939 - k. Let g = s - -2050. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11 and -1.545?\nAnswer: 16.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -11*v. Let x(m) = 484*m - 1. Determine x(k(o)).\nAnswer: -5324*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 6, u: 3, r: 2, s: 2}. Give prob of sequence rsu.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(432))\/sqrt(8))\/(5*sqrt(147)*-4).\nAnswer: -3*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 + 11 - -10) + 1 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 77*j + 543. What is i(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaazazzanazazaaazzz. Give prob of sequence aznz.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 - -4)\/(-1)*-1. Which is bigger: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26676 divided by 6.\nAnswer: -4446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 710 a factor of 114713990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 21173786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -41*o + 49 + 81*o - 42*o to y*o + a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00715 to 4 dps.\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-21)\/6*(-3)\/((-12)\/(-8)). Solve -c - t = -2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7328 + -0.0036.\nAnswer: -7328.0036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 688\/(-1564) + 98\/1127\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5824, 5814, 5820, 5848, 5904, 5994?\n\"Answer: x**3 + 2*x**2 - 23*x + 5844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 9*l. Let v(m) = 0*m + 2*m + 0*m - 5*m. Give v(w(a)).\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(2\/14374) + 2. Let m = s - -4685. Let t be (m\/(-30))\/(2\/(-10800)). What is t rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -9*d**3 + 7*d**2 - 15*d + 7. Let v(a) = 5*a**3 - 4*a**2 + 8*a - 4. Suppose 4*g = 5*g + 3*l - 7, -g + 3*l + 7 = 0. What is g*v(x) + 4*t(x)?\nAnswer: -x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - t. Suppose -4*f + 6 = -0*y - y, -2*f + y + 2 = t. What is the third derivative of 3*x**6 - 4*x**f + 6*x**2 - 4*x**6 + 3*x**2 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 0*p = -2*r - 26, -4*r - 315 = -2*r + 59576*p - 59595*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/8*-1*(-16 - -18). Let 2*f + 1\/4*f**3 + 1 + d*f**2 = 0. What is f?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d - 3*d**3 + d - 4*d**2 - 3*d + 0*d**3 - 2. Let u(v) = -7*v**3 - 9*v**2 - 7*v - 5. What is -5*s(k) + 2*u(k)?\nAnswer: k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 2*a + a + 14, -42 = -3*w - a. Let l be ((-7)\/w)\/(-1 - 1). Find v, given that 0 - 1\/4*v**2 + 1\/4*v**4 + 1\/4*v**5 + 0*v - l*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -255 = 4*o + 81*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -70 - 53?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*o + 185 + 62. What is the remainder when 19 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*v + 19*q - 22*q + 1, 0 = 2*v + 5*q + 19 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 95 + (-76 - (45 + -42))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 + 4*m**2 + m + 1. Let z be h(0). Let k(p) = 0 - 1 + 0. Let y(q) = -q**2 - 1. Determine z*y(t) - k(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, k: 1, h: 2, t: 1, r: 1, n: 1}. What is prob of sequence thh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.3 - -0.4. Let f = 22496\/3 + -7498. What is the closest to r in 0, -3\/2, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 3*g + 2, -2*g = v + 3. Let i be 70\/6 - v\/3. Solve -6 = 2*m - 5*s + 22, -4*s = m - i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**2 - 1\/3 - 4\/3*f - 1\/3*f**4 - 4\/3*f**3 = 0. Calculate f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3 - 297*y**2 + 597*y - 299.\nAnswer: -(y - 1)**2*(y + 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45 - 40. Find the third derivative of -21*a**2 + 46*a**v + 66*a**2 - 82*a**5 wrt a.\nAnswer: -2160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f - 1. Let a = 5 - 4. Suppose 0 = 22*m - 21*m + a. Calculate u(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 44336463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 91548785 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n = 4*v - 32, v + 4*n + 17159 = 17152 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-4)*((-925)\/(-15) + 3). Let w = l - -67. List the prime factors of w\/(-25)*5\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -260?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2751 - -2760. Let i(f) = -11*f**2 + 11*f + 13. Let n(k) = 5*k**2 - 5*k - 6. Give c*n(a) + 4*i(a).\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 229404 by -5462.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**2 - 4*s**2 + 6*s**2)*(-8*s**2 + 204 - 204).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 215 = -87. What is the biggest value in -3\/5, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 25, 25, 17, -5, -47, -115?\n\"Answer: -f**3 + 2*f**2 + f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -265 + 526 - 14*v + 2235*v**2 - 261 + 15*v in the form g*v + u + y*v**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6359\/22 + -289. Let r = 25\/66 - u. Which is the second biggest value?  (a) r  (b) -2\/5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 13832, 13873, 13916, 13961, 14008, 14057, 14108?\n\"Answer: g**2 + 38*g + 13793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3*g + 27. Let u(d) = -d + 1. Let j(x) = q(x) - 2*u(x). Let b be j(0). Let l = 4 + 1. Solve 4*o + z = 20, 0*z - z - b = -l*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g + 1. Let h be u(-7). Let x = 8 - h. Let s be (3 + x)\/((-27)\/(-252)). Solve 8 = -5*k + s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28172, 56344, 84514, 112682, 140848, 169012?\nAnswer: 197174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 + 0.3. Let g = 13 - 17. Which is the nearest to 0.1?  (a) -3  (b) j  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4320 (base 7) to base 9.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 561323041.\nAnswer: 37, 677, 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 184 and 10074.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 - 21. Let u = -29.876 + 1.276. Let j = k - u. What is the closest to 0 in -1, j, -3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 204866*b - 107479*b + 154542*b + 97978*b + 87982*b.\nAnswer: 437889*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 1792084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 358\/(-4) + (-10)\/(160\/(-24)). Let n = 121 + d. What is the remainder when 95 is divided by n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 7*v**2 - 13*v + 67. Let h(s) = 9*s**2 - 18*s + 90. What is 8*h(d) - 11*n(d)?\nAnswer: -5*d**2 - d - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + k)*(-6 + 6 - 7*k**2)*(3 - 9 + 13).\nAnswer: -49*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2 + 56571*x + 56574.\nAnswer: -3*(x - 18858)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x**3 + 2*x**2 + 3. Let r be g(2). Is r\/10 + 3429\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42275 - 78758 - 36857 = 2922*w + 2341*w for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 64*d - 62*d - 56614, d + 3*y = 28300. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 41932 + -27075. Is w a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4981 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1598 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 30\/20 + 56\/16*((-90)\/(-14) - -2)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6  (b) 1  (c) 2\/3  (d) -2  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 305747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -3*k - 97 + 39, -k = 4*q + 36. Let i = -227 + 204. Let w be 115\/i + 0 + -11. Is k <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-15)*320\/96.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 5*x = 141, -3*c - 2*c = -4*x - 647. Let w = -2752\/21 + c. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 5983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132856 is divided by 26569?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -2*g**5\/21 - 106*g**4\/21 - 590*g**3\/7 - 2682*g**2\/7 + 1044*g + 3024 = 0.\nAnswer: -21, -12, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 33*j + 99428 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*133792\nAnswer: 53516.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 2 - 2)*(17*z**2 + 2057 - 2040 - 20*z**2 + 10*z**3)*(-4 + 8 - 14) as n*z + t*z**3 + i + f*z**2 and give i.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3567860608 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 + 4*d - 2. What is h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 692 a factor of 2013720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 4*t = -0*t + 18, -4*t = -3*s - 6. Differentiate -s*l**2 + 0*l**2 - 4 + 1 + 2 wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -25583, -26248, -27357, -28910, -30907?\n\"Answer: -222*g**2 + g - 25362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y**2. Suppose 28*q - 2 + 2 = 0. Let r(g) be the first derivative of -1\/3*g**3 - 5 + q*g + 0*g**2. What is p(r(w))?\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 467983177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14875524133 + -158.\nAnswer: -14875524291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 356*m - 3. Let k(x) = -355*x + 3. Determine 3*a(q) + 4*k(q).\nAnswer: -352*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 + 11*d**2 - 11*d - 51. Let w be t(8). Solve 18 = 7*o + w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -505, -503, -501?\n\"Answer: 2*j - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 11 - 19 = 0. Let a be (1\/1)\/((-3)\/(-9)). Let g(m) = -m**2 - a + 4*m + 2 + 8. Determine g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 6*n - 45. Let d(u) = 2*u - 1. Let x(p) = -2*d(p) - g(p). Let t(l) = 22*l**2 - 2*l + 1. Calculate the remainder when t(1) is divided by x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 4*b**2 - 3*b**4 - 15*b**4 + 16*b**4 in the form y*b + w*b**2 + h*b**4 + t + x*b**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(3000) - sqrt(3000)*-2 - -2*sqrt(3000))*1)\/(((-1*sqrt(120) - sqrt(120) - sqrt(120))*6)\/(-1*sqrt(588) - sqrt(12))).\nAnswer: 400*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62946305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -107967*f + 324035. What is p(3)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(2736) + 1)**2 + -4.\nAnswer: -24*sqrt(19) + 2733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.008665973 to five decimal places.\nAnswer: -0.00867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of 2*l**7\/105 - 3*l**6\/40 + l**5\/10 - l**4\/24 - 17*l**2. Factor b(s).\nAnswer: s*(s - 1)**2*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 323319\/64 + -5052. Let n be ((-4)\/(-84))\/(64\/(-2115)). Let z = n + q. Find the common denominator of -73\/4 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 + 5*n**2 - 20. Give g(-6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 172 - 894. Suppose k = -4*w + w + q, -w - 3*q = 342. Find the common denominator of -31\/7 and w\/4*(-4)\/12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 7*h = 4*h - 78, 0 = 3*r + 2*h + 74. Let x be (-28)\/(-77) - (-4)\/r. Determine f so that -4\/11*f - x*f**2 - 2\/11 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 268 + 227. Solve h*s = 494*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kul when three letters picked without replacement from snslulsuaunk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -1 - (18 + 12 + -26).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -2 - 1 + 6*z**2 - 5*z**2. Let a be 0 + 2 + 0 + 2. Let i(q) = -q + q - 2*q**2 + 3*q**2 - 4. What is a*b(u) - 3*i(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3+87733.13\nAnswer: 87730.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of 3*n**2 + 1\/3*n**3 - 140 - 5*n. Let i(r) = -r**2 - 5*r + 4. What is 4*a(j) + 5*i(j)?\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 8 + 4 - 4 + 5*j + 2. Let f be b(-3). What is the remainder when 36 is divided by 5 + (f - -4) + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 + 52. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 1:47 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 825 - 814. Suppose 8*q - k*q + 4*m + 20 = 0, -2*q - 4*m + 20 = 0. Solve -v - q = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -11*z**3 + 3*z**2 - 5. Let f(l) = 2*l**3 - l**2 + 1. Let t(y) = 10*f(y) + 2*m(y). Let a(p) = -3*p**3 + 0*p**2 + p**3 - 3*p**2. Give 4*a(u) - 3*t(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 6\/21 - 7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 6, z: 4}. Give prob of sequence nnn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2 + 6*y - 7. Let j be t(-7). Let p = 6 - 10. Sort j, -3, p in decreasing order.\nAnswer: j, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2*k + 150 = 0, 3*p + 60 = 5*p + 3*k. Suppose p*v = 10365 + 1215. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from nggngnggggg?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 6\/6347?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 84 = -111. Suppose 2*g + g = -t + z, 2*g - 6 = -t. Which is greater: -2\/37 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5668307120.\nAnswer: 2, 5, 7, 131, 77267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/((-2)\/2)*(-190)\/40. Suppose -4*w + 2*g - 22 = 0, -5*w + 4*g - 3 = 32. Is 5 a factor of -4 - (a\/w + (-14)\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j - 125 = 226. Let g be (-20298)\/4640*(-26)\/j. Let y = g - -6\/145. Calculate the common denominator of y and 83\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, -2, 5, 15, -45, 7 in decreasing order.\nAnswer: 26, 15, 7, 5, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 16 = -q. Let c(v) = v - 2*v - q*v + 3*v. Let z(g) = -4*g**2. What is c(z(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*b**3 + 1\/3*b**4 + 24*b + 112\/3 - 41\/3*b**2.\nAnswer: (b - 4)**2*(b + 1)*(b + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*l**2 - 7670 + 7670 + 3*l**2.\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45.3 + -0.06.\nAnswer: 45.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from nttt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 16.8904.\nAnswer: 1.68904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**3 - 105*u**2 - 400*u + 1260.\nAnswer: -5*(u - 2)*(u + 9)*(u + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -96 + (-38 - -2 - (-288 + 257)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -153 divided by -3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -524 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 5*h. Let f(r) = 1529*r**3 + r**2 + 18*r + 66. Let p(z) = -f(z) - 3*n(z). What is the third derivative of p(c) wrt c?\nAnswer: -9156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, d: 2}. Give prob of sequence dvd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-one halves of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17522 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (47644\/(-17174))\/(14\/434)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 12 = -14. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6800 to the nearest one hundred.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*g - 3*b, -3*g - b - 5 = 10. Let c(z) = -z + 7. What is c(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*p - 13233 = -23*p - 2625. Calculate the lowest common multiple of 324 and p.\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 252 is divided by 408\/(-66) + 6 - (-1126)\/22?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {a: 3, h: 8, s: 7}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/21)\/(x*x**(1\/4)))\/((x\/(x\/(x*x**(-2\/9))))\/x)**(-17) assuming x is positive.\nAnswer: x**(-1291\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 522, 530, 526, 504, 458, 382, 270?\n\"Answer: -a**3 + 15*a + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (49 - 57) + (0 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, -4, -1, 1579 in descending order.\nAnswer: 1579, 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2344\/3 + 781. Suppose 4*d = -1 + 21. Suppose -5*n + 2*w + 19 = 0, -5*n + d*w - 2*w = -21. Which is the third biggest value?  (a) 0  (b) z  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 700 is divided by ((-9)\/(-4))\/(-3) + 13135\/148?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 5*s - 6 = -4*y, -3*y = 3*s - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*d - 2*d**2 + 11*d - 4*d - 31*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a0 + 0?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3012*q - 12206 = -561*q - 108677 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -3009526.\nAnswer: -2\/1504763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 6475923512?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1179.4701 rounded to the nearest 10?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -793\/5, -5, -112, -2\/15, 2 in increasing order.\nAnswer: -793\/5, -112, -5, -2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 325103167.\nAnswer: 19, 17110693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -605404, -605398, -605392, -605386, -605380, -605374?\nAnswer: -605368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16.28 - -21.28. Put -5, -1\/171, c in increasing order.\nAnswer: -5, -1\/171, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 2*r - 82 = 0, 2*r - 98 = -3*v - 0*r. Let j = -41327\/5 + 8295. Let a = v - j. What is the closest to a in -5, -3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 0*n + 8*n + 2*n - 3*n. Let k(l) = 2*l. Calculate g(k(q)).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -s. Let b = 14 - 12. Suppose 3*g = d - s*d - 14, -3*d = -b*g - 63. What is the highest common divisor of 115 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 32*s**3 + 17*s**2 - 11*s - 16. Let l be j(6). Suppose 0 = 8*g + 410 - l. What are the prime factors of g?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-812)\/1305)\/(-7))\/((-12)\/(-10))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 92 + 8. Suppose -105*o + r = -100*o. What is the remainder when 76 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1664 in -1582, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 - -22. Solve -2*r = 2*d - 8, 0 = -3*d + 2*r - k*r + 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 961*t = 929*t + 2312096. What are the prime factors of t?\nAnswer: 72253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/7, 2\/5, 1\/3, 0.1, -105, -8.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 4*b - 32 = 6*s, 3*b = 5*s + 5. What is the remainder when ((-2)\/s)\/((-1)\/(-46)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(3*4)*-5*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*v + 2*v - 4*v + 9*v - 9*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6602292\/17 + -388165. Let k = u + -205. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 3*y - 29. Let w be h(11). Solve w*i - 22 = 5*f, 0 = -3*f + f - i - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 123604 and 123607 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h + 922*h**2 - 442*h**2 - 2*h - 455*h**2.\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10929 + 10939. Solve 14*t = o*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -l + 47, 5*l = 3*t - 0*l + 31. Let x = 19 + t. What is the remainder when 5 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 6 - (-19 + 20)) + -24?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27899766?\nAnswer: 2, 3, 1549987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 14570680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -698*v - 1. Let l(f) = 295*f**2 - 3. Give y(l(u)).\nAnswer: -205910*u**2 + 2093","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4590 is divided by 339.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 308561133 and -3768579.\nAnswer: 304792554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 140 and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the first derivative of -3*b**2\/2 - 2*b - 4. Let h = -4 + 2. Let t be z(h). Solve -t*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 - 9*i**2 + 11*i + 9. Let n be d(-10). Let x = -3.6 + 4. Let k = 0.042 + 3.958. Which is the third smallest value?  (a) k  (b) n  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (132\/1)\/(27600\/18400)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -509.7 + 506.7. Which is the nearest to -2\/3?  (a) -0.06  (b) f  (c) -12  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/11  (b) 4\/25  (c) 3  (d) -290\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 162, -4203, -304.\nAnswer: -4203, -304, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 3*f**3 + 4*f. Let i(p) = -p - 7. Let v be i(-5). Let c(m) be the third derivative of -m**6\/120 - m**4\/12 + 9*m**2. What is v*j(u) - 5*c(u)?\nAnswer: -u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4*p + 840 = 0. Suppose 5*s + 735 = -5*x, 3*x + 2*s + 276 = -p. List the prime factors of x\/(-22) - (-6)\/33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/8 - (-115)\/(-20). Let q be g*(-2)\/12*2. Suppose q + 3 = y. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 33322013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10719, 7751, 2805, -4119, -13021?\nAnswer: -23901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -128 = -2*o + 6*o. Let q = 46 + o. Calculate the least common multiple of 20 and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (y - 6*y + y)*((4 - 3 + 1)*(-4 - 3 + 5) - 2 + 1 - 2) + 8 - 8 - 5*y as z + v*y and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -2*j - 73, -3*y - 2*y = -j - 69. Solve 5*k = y - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1445926203 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30019*p - 30033*p + 280 = 0 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -245.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -9.6, 0.2, -3\/8, 1\/12, 39, -2?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 5*y = 6*y + 5, 1 = d + y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.42868m to nanometers.\nAnswer: 64428680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -370.4317 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (8\/10)\/(16\/(-40)). Let v = 2 - 4. What is the units digit of (1 - k) + (0 - v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5749141883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -1.04. Let t = i + 4.96. Let j = -3 + 3. Put -3\/5, j, t in descending order.\nAnswer: t, j, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/((-55)\/160*8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 - 37. Calculate p(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8407 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y**2 - 10*y - 67. What is q(-12)?\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 72 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -621620, -1243289, -1864960, -2486633, -3108308, -3729985, -4351664?\nAnswer: -4973345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1871*q**2 - 10*q - q + 1840*q**2 - 3740*q**2.\nAnswer: -29*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*21441430.6\nAnswer: 4288286.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -14*y + 32. Let b(p) = -p - 1. Let r(i) = 3*b(i) + j(i). Let z(h) = -32*h + 54. Let f(w) = 11*r(w) - 6*z(w). Determine f(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-106)\/(-56) - (12\/48 - (-50)\/56)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of k**3\/6 - k**2\/2 + 2*k - 65985. Suppose -11 - 24 = 5*i. Calculate d(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zv when two letters picked without replacement from vvvvvvvzzvvzvvvvvv?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40323473?\nAnswer: 17, 2371969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(21)*-1*5 - sqrt(21))\/(-2*sqrt(700)))**2.\nAnswer: -27\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is z in z**2 + 13*z + 12 = 0?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 306 + -302. Let b be o*-14*(-4)\/8. What is the greatest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1951970020.5099259 - -1951969923. Let j = l + -0.0794741. Let z = j + 97.5. What is z rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 + 13*g**2 - 13*g + 32. Let r be z(-14). What is the third derivative of r*o**2 + 71 + 174*o**2 - 160*o**6 + 30*o**6 - 71 wrt o?\nAnswer: -15600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24 + 8. Let z(n) = -2*n**2 + 50*n - 6. Let i(v) = 3*v**2 - 53*v + 6. Let g(j) = 5*i(j) + 6*z(j). Does 14 divide g(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 34*m + 823. What is h(-50)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2a1 (base 11) to base 15\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-768)\/(-96) + (-32)\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 4*s - 187 = 0, -5*l - 3*s + 182 = -4*l. Suppose h - b = 2*h - 165, -h + l = -b. List the prime factors of h.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14108701507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 0*c = -q - 1, -5*q + 4*c - 32 = 0. Let y be 1\/(((-3)\/q)\/3). Let x = y + 9. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -506 = 4*q - 562 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -91\/4 or -1.3?\nAnswer: -91\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -600 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1297, -23, -3, 1, -11.\nAnswer: -23, -11, -3, 1, 2, 1297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 47621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -g**5\/3 - g**4\/3 + 4*g**3 - 4*g**2\/3 - 16*g\/3 = 0. What is g?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9938 + 113896 = -6117*c + 39260 - 117287 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*c + 2 - 82 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27 - (-23 + 22 + 17 - 36).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 6 + l**3 - 3 + (-l**3 - 3*l**3 + 3*l**3)*(42 - 111 - 24).\nAnswer: 94*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2124690849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23005, 34856, 54607, 82258, 117809?\nAnswer: 161260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 4*i**2\/5 + 72*i\/5 + 64 = 0?\nAnswer: -10, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 3*r**2 - 38. Let f(b) = -21*b. Calculate m(f(y)).\nAnswer: 1323*y**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 8) to base 7.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 23*g**2 + 309*g + 1006. Calculate c(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-3)*(2\/(-4))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -244, -982, -2216, -3952, -6196, -8954, -12232, -16036?\n\"Answer: -j**3 - 242*j**2 - 5*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -50 + 48 - (7 - -6 - -13)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.109 - -0.029. Let y = 1.318 - 1.218. What is the closest to y in u, 1, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(1*4\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of 1 - 1\/2*c**2 + 6*c. What is the tens digit of f(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -251 - -252. What is the nearest to 3\/5 in z, 0.4, -2\/11, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 232*v = 198*v - 170 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -28 and 9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.13 - -0.22. Let w = x - 0.09. Put 0.1, w, 3 in ascending order.\nAnswer: w, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (-6)\/(((-132)\/(-16))\/11) - -378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 9*z + 82 = -0*i - z, 0 = -3*z + 33 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, p: 8, m: 2}. Give prob of sequence kp.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.4381 - 0.4382351. What is t rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14471251631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 46*j**2 - 96*j + 4. Let k be u(-48). Let o(g) be the third derivative of 0 + 0*g - 5\/6*g**3 + 1\/12*g**k + 11*g**2. What is o(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 46449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*k**2 - 16*k + 20878 - 10441 - 10438)*(3*k + 2*k - 4*k).\nAnswer: -19*k**3 - 16*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -44100 - 7391\nAnswer: -51491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -171*m**2 + 9*m - 9. Let c(k) = 2*k**2 - 94*k + 1062. Let l be c(19). Let g(t) = -43*t**2 + 2*t - 2. Determine l*w(n) + 9*g(n).\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 + 16*z**2 + z - 18. Let t be m(16). Let g be (-3)\/(-10)*t + (-58)\/145. Suppose 2*x + 6 = -0*x. Is x at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -5\/4, -3\/5, -4, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15*(-26)\/(-65))\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*s**3 + 152*s**2 - 292*s + 144 = 0. What is s?\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v - 253. Let l be u(-12). Is l at least as big as -1386\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 3*w + 7. Let k be n(-6). Let u(b) = 6*b + 71. Let m be u(k). Solve 3*j + 2 = 2*v - j, -m*v - 4*j = 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/12 and 70\/51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -5*s**3 - 3*s**2 + 3*s - 5. Let j(n) = -14*n**3 - 10*n**2 + 8*n - 16. Let x(l) = -4*j(l) + 11*z(l). Calculate x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -58 - -60. Suppose -l*v - z = 0, v - 15 = 4*z + 3. Suppose -5*m = 2*q - 22, -5*q + 1 = m - v*m. Solve s = -s - m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1419448412105+-0.2\nAnswer: -1419448412105.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -161282*a**2 + 139736*a?\nAnswer: -322564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000018773 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-24)\/8*1\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.627 - 1.927. Is i bigger than -12.95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 - (6 + 6 - 6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/4395890 and -83\/344.\nAnswer: 17583560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - 6*s - 1. Let q be h(5). Let x = q + 8. Suppose -l + x = -5. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 1 = 0, -6*z + 10*z - v = 91. Suppose 0 = 2*d - 16 - 34. Suppose 3*h + 4 = d. Solve 5*g - z = o - 2*o, 3*o = 4*g - h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1265 - 1263. What is the smallest value in -3, -0.458, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (2 + (11 + -19 - -10)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1030, -2036, -3042, -4048?\n\"Answer: -1006*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1*sqrt(2736)*1 + 1).\nAnswer: -36*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 12:29 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1, -1548573, 2\/5.\nAnswer: -1548573, -6, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 - 3*z - 5. Suppose -4 = -4*f - 4*i - 24, -22 = 5*f + 2*i. Let c be 6\/f*16\/(-6). Suppose 0 = -c*u - 0*u + 20. Give d(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5267016 less than -5267016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 - 6*j - 4. Let a be i(-4). Suppose -96 = -3*v + a*s, -2*v = v + 3*s - 75. Suppose 4*h + 5*z - v = 0, h + z - 2 = 5. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 410797800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 114 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the first derivative of -1\/15*w**3 - 2\/5*w + 2 + 3\/10*w**2. Solve a(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 5, 0.56, -10 in decreasing order.\nAnswer: 5, 0.56, 0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) 2\/3  (c) 1.1  (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.06899 and -67567.\nAnswer: -67566.93101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n + 20. Give f(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 5*s = 34, 158 - 24 = 4*l - s. Which is the closest to 0?  (a) l  (b) -0.2  (c) -5  (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 766 + -1480. Let z = o + 1637. Suppose -z = -10*i + 167. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 753, -2\/96231, -2\/3, 2, -1 in decreasing order.\nAnswer: 753, 2, -2\/96231, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/90 and 89\/113100.\nAnswer: 339300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o - 11. Let r be l(-9). Let m be 2\/(-7) - (-176)\/28. Suppose -p + m*p = 0. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 6023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 - -45. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 248*t**2. Let w be p(-1). Let g be (-1)\/(-2)*w\/(-4). Let k = 0 - g. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1801732220?\nAnswer: 2, 5, 3271, 27541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 3401528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of 5\/2*t**3 + 5 + 3*t - 1\/10*t**5 + 1\/12*t**4 + 0*t**2 - 3\/10*t**6. Find the third derivative of q(c) wrt c.\nAnswer: -216*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uc when two letters picked without replacement from xcu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3145 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 291 (base 12) to base 13\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7276 and 337535459?\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 202\/419, -2, 5, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 8 + (28 + -10 - (-10 + -36))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 6*c = 7*c - 240, m - 4*c + 75 = 0. Let t = 61 + m. Solve 0 = 4*u - t*u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*g + 61*g + 2*y - 1422 = 0, -g - 4*y = -723. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ryrr when four letters picked without replacement from rcrycrycrrrcrr.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -118 - -242. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -204.878 take away 0.14?\nAnswer: -205.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + w**2)*(-125 + 2*w - 122 + 251).\nAnswer: 2*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h**3 + 7*h - 3. Let s = 211 - 208. Let d(z) = -4*z**3 - 8*z + 2. Let c(i) = s*b(i) + 2*d(i). Let y(u) = -u**3 - 4*u + 4. Calculate 4*c(r) + 5*y(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 173\/1518132 and 23\/693.\nAnswer: 4554396","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of 1\/6*f**3 - 3*f + 0 + 5\/2*f**2 - 1\/8*f**4. Let j(a) be the first derivative of l(a). Give j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5252 = -n, -26234 = -5*n - 13*v + 16*v. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -232 - 100?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*u**6 - 86*u**5*v**2 + 3*u**2*v**2 + 18*u**2 - 2*v wrt u?\nAnswer: -240*u**3 - 5160*u**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -21*q**3 - 2*q**2 - 2*q + 49. Let c(d) = 21*d**3 + 2*d**2 + d - 49. Let a(n) = 4*c(n) + 3*p(n). Find the second derivative of a(y) wrt y.\nAnswer: 126*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 45*m**2 + 7*m - 139. Let c(q) = 22*q**2 + 4*q - 70. Let k(n) = 5*c(n) - 3*d(n). What is the second derivative of k(s) wrt s?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 129, 117, 105, 93, 81, 69?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddddddadddd. Give prob of sequence ddad.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - (9 + -9))\/2. Suppose 4*z - 6 = 3*r - o*z, -3*z = r - 11. Determine m so that -1\/3*m**4 - 1\/3*m**3 + 1\/3*m**5 + 0*m + 1\/3*m**r + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 1512144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -1, -3, 3.\nAnswer: -4, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -31*v**2 - 2*v + 5. Let q(l) = 122*l**2 + 9*l - 21. Let b(t) = 2*q(t) + 9*s(t). Find the first derivative of b(z) wrt z.\nAnswer: -70*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 1 = -5*y. Let v be y + -3 + 2 - 1. Let r(w) = 3*w - 1. What is the units digit of r(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 197, 673, 1467, 2579, 4009, 5757?\n\"Answer: 159*t**2 - t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3*w = -2*w + 5, -5*w = 4*v + 25. Let f be 1\/(2 - (-9)\/(-4)). Which is the nearest to 1?  (a) v  (b) f  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (80\/64)\/((-45)\/(-8)). What is the nearest to 0 in 1\/4, p, -3, -19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22 and 3188674?\nAnswer: 35075414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 25*x + 26. Let q(v) = -13*v - 13. Let a(m) = -3*f(m) - 5*q(m). Let t(g) = 5*g + 6. Let l(b) = -6*a(b) - 13*t(b). Let o(s) = s. Determine o(l(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*f**2 - 26*f**2 - 27*f**2 - 24*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18 - 150. Let j be (n\/4)\/((-20)\/(-2)). Let o = 383\/110 + j. What is the third biggest value in o, -0.6, 0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96*m + 126066 = -90*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-17844)\/(-1064)*7456\/14796. Let s = p - 1128\/959. Let x = -39\/19 + s. Calculate the common denominator of 49\/4 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -522 by -174.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - -2. What is the remainder when (125\/10*-2)\/(-1) is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 631\nAnswer: -1262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-994)\/116 - (74052\/1044 - 71)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 4*r - 20, -229*r = -2*g - 226*r. Solve 3*s - 2*v = 19, 9*s - 10*s + g*v = -18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*f - 8*f + 23*f to w + z*f and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 30 + -37. Let k(h) = h + 9. What is k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -806*z - m - 12 = -808*z, -2*z - 28 = 3*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 2 - 56)*(0*c + 3*c - 2*c).\nAnswer: -35*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/25 in 1\/2, -0.2, 4, -4\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/4)\/((-529)\/(-29624)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 23, 34, 43, 50, 55?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 + (22 - 3) - -28) + (-5 - (4 - 10))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6702*m*n**2 + m*n + 23685248*m - 3*n**2 + 571*n wrt n?\nAnswer: 13404*m*n + m - 6*n + 571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -46 + 102. Calculate the highest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*z**3 + 0*z**2 + 0*z**2)*(1643 + 1618 - 3223).\nAnswer: -266*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gxl when three letters picked without replacement from xgolsxlsgmlgglg?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 13*c = 9*c + 16, 0 = m - 5*c + 23 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -944016, -1888018, -2832020, -3776022?\nAnswer: -4720024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -507\/506 + 23\/22. What is the closest to -2\/7 in v, -0.01, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**3 - 3*k**2 = 0. Calculate k.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y**5 + 2*y**4 - 35*y - 2. Let t(h) = 4*h**5 + 5*h**4 - 70*h - 5. Let k(g) = 5*j(g) - 2*t(g). What is the second derivative of k(f) wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + 120202?\nAnswer: 120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18\/101 + -19\/2727. What is the common denominator of 4\/(-6) - 321\/54 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -284989*(159 + -156)*(1 + -1 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 112262502 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 + 2*g + 1. Let d(s) = -8*s**2 - 120*s + 80. Let m(k) = -k**3 - 4*k**2 - 8*k - 7. Let i be m(-2). Let c(w) = i*d(w) + 12*b(w). Solve c(p) = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 + 25. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 9:58 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1443 (base 5) in base 4?\nAnswer: -3320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 23 - 16. Suppose 0 = 2*k - c*k + 15. Let p be (-7)\/(-39) - 1\/k. What is the second smallest value in p, -0.2, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5782976.\nAnswer: 2, 90359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 217*t. Let z(o) = 4571 - 4571 - 10*o - 14*o. Determine -3*h(r) - 28*z(r).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20*j + 13*j**2 - 15*j**2 + 15*j**2 wrt j?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 75, 64, 63, 78, 115, 180?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 15588*c - 1884494?\nAnswer: 15588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) 3  (c) 3\/5  (d) -2  (e) -344  (f) 0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 2*s + 8. Let v be x(-3). Suppose v*b + 75 = -3*c, 0*b - c = 2*b + 73. Let k be 0 + (-9)\/(b\/8). Solve k*r + 12 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -311.45703 rounded to 1 dp?\nAnswer: -311.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 5  (c) 324  (d) -7\/317\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 530 divide 10802990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 - 2*k**2 - 2*k**2)*(-14*k + k - 8*k)*(19 + 2 + 1) - k**3 + 0*k**3 + 0*k**3.\nAnswer: 2309*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + -3. Suppose -c*u - 4*l = 3*u - 22, l = -3*u + 9. Solve u = 2*z - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/4*2*108\/1215?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -191 + 61 + 70 - 5725*q + 60 in the form c + p*q and give p.\nAnswer: -5725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, 34, 91, 160, 247?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0.23, 0.7, 152.3, 2\/5 in ascending order.\nAnswer: 0.23, 2\/5, 0.7, 2, 152.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of -3463*s**7\/21 - s**4\/6 - 2807*s**3\/2 + 3*s + 43. Find the second derivative of u(c) wrt c.\nAnswer: -138520*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1069, 2904, 4739, 6574, 8409, 10244?\nAnswer: 12079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 87296564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2573413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbe. Give prob of sequence eb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of -10*u**2 - 227. Calculate b(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (407 - 400 - (-1 + -9))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 AM and 5:40 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-2\/3))**(-26)\/(l**(3\/5)\/l*l\/l**(2\/13)))\/(((l\/(l**(-1\/3)*l))\/l)**(-41)\/(l**1)**49) assuming l is positive.\nAnswer: l**(2506\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 1 = 3*f - 3*n, -5*f + 3*n + 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 104\/81 + -425\/324. What is the third smallest value in 13, o, 0.4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 46*a**2 - 407*a + 15. Give s(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*(-1)\/240*(4 + -5). Let k(x) be the third derivative of -1\/72*x**4 - 1\/720*x**6 - 3*x**2 + 0 + 0*x + o*x**5 + 0*x**3. Factor k(s).\nAnswer: -s*(s - 2)*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.014  (b) 0.203  (c) 3  (d) 0.2  (e) 2\/15  (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 21628 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3514 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/10  (b) -4  (c) -0.04  (d) -7  (e) 152\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + (124\/(-18))\/(-2). Let w = m + 325\/18. Find the common denominator of w and -95\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*s**5 + 186*s**4 + 286*s**3 = 0. Calculate s.\nAnswer: -11\/8, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 + 13*h + 33. Let c be d(-10). Suppose 0*b - 17610010 = 3*b + 2*t, -2*t = -c*b - 17609990. What is b rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2960145, 2960146, 2960147, 2960148, 2960149, 2960150?\nAnswer: 2960151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 94 and 940.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -y + 13. Let o be -6*-1*(-1)\/(-2). Let x = 1142 + -1140. Solve 3*p = o*b - 12, -5*b - x*p + 0 = y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 (base 4) in base 14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19045207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30.8 + -33.8. What is the closest to 2\/3 in r, 2\/5, -2, 17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 54\/(-7) + (-4)\/14. Let u be (-6)\/18 + (-114)\/9. Let k = a - u. Sort k, -3, -5 in descending order.\nAnswer: k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*-6.44\nAnswer: -6.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 11*j**2 + j + 13. Let x be l(-11). Find p such that -2 - 7*p**x + 5*p**2 + p + 3*p**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 53 = 4*b - 45, -5*b = 5*i. Suppose -2*n + 4*n = 20. Suppose q = -4*t - n, 6*q - 4*t = 2*q + 40. Solve -i*h + 3 = -3*g + 1, 2*h - q = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 196 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4522.427 + -4527. What is a rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 PM and 1:43 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 8. Suppose 20 = q*c + 2*c. Let x = 1\/23 + -77\/184. What is the second biggest value in -2, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 31972709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -99, -483, -1121, -2013, -3159?\nAnswer: -4559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -207 bigger than -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 94163, -2\/11 in increasing order.\nAnswer: -2\/11, 0.4, 94163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.8 + 25.8. Let t = -14 + a. Let l = 7.999968 - t. Round l to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -5*d - 1. Let m be -4853 + 3 - (d + 1 - -1). Round m to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -90*h + 55. Let u(x) = 10*x - 6. Let k(z) = -6*l(z) - 55*u(z). Let i(t) = -6*t**2. Calculate i(k(v)).\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48, 90, 128, 162, 192?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 15633 = 31*q - 28*q, 4*p = -2*q + 20838. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 7*n + 5. Determine j(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 times -78802?\nAnswer: 1339634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -44000 + 72034. List the prime factors of a.\nAnswer: 2, 107, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 8 + -11 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -832*k - 15844. Calculate c(-19).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1232 - 111040?\nAnswer: -112322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 807723.6 hours to minutes.\nAnswer: 48463416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 93 + 43 + -77 + 34 + 29.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 33 - 26.8. Let g = k + -1.2. Let n(c) = -c + 4. Let z be n(3). What is the smallest value in 3\/8, z, g?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - (7 - 2)) + 7 + (-2 - 1) - -27.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5335\/9 + -592. Let k = 4777\/42 + -662\/7. Find the common denominator of k and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 3*u**2 - 15*u. Let z be s(6). Let n(f) = -f + 22. Let q be n(z). Solve -3 = v, 0 = q*p + 5*v - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(-1))\/((-6)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (1 - -6) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - 454?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + 10*j**2 - 10*j + 9. Let l be (-88)\/(-4)*(-1)\/2. What is g(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 39635 + -23234. Is x a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -58*k - 2 - 2 - k**4 - 2*k**3 + 58*k in the form n + s*k**3 + a*k**2 + l*k**4 + c*k and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27\/5 - -103\/20. Let k be 4 + 0*(-4)\/(-1 - -5). Which is the nearest to i?  (a) k  (b) -1\/4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1279379 and 1279379 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -506.69556 - -507.67. Let b = r - 1.0344395. Let a = -0.06 - b. Round a to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 203556 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -69 at least as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -88 times 7110?\nAnswer: -625680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 6*o - 5. Let j be ((-5)\/(-4 - 11))\/((-1)\/(-21)). Let d be x(j). Let s = d + -17. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 0) + 8 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 2*c**3 + 19927207*c**2\/2 + 12409173092701*c - 6204587791801\/2 = 0.\nAnswer: -2490901, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 851*p**3 + 69*p**2 + 69*p + 69. Let b(t) = -18*t + 160. Let s be b(9). Let d(k) = 25*k**3 + 2*k**2 + 2*k + 2. Determine s*i(c) + 69*d(c).\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-1\/3)*l**2\/l)\/(l**1\/l)**(26\/7) assuming l is positive.\nAnswer: l**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d + d + 0*d)*(d + d + 2*d - 45*d + 9*d - 2*d + 1 - 1 + 2*d + (-4*d + 0*d + 3*d)*(1 - 5 + 3) - 3*d + 2*d - d + 2 + 2*d - 2).\nAnswer: -31*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 z, 1 c, and 1 v when four letters picked without replacement from qccdqqqdqdzdqvd.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 s when three letters picked without replacement from {h: 1, s: 7}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49, 112, 259, 532, 973, 1624, 2527, 3724?\nAnswer: 5257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - 1. Let k = -576 - -577. Calculate the smallest common multiple of a and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*d**3*y**2 - d**3*y + 2*d**2*t + d**2*y - 8*d*t*y**2 + d*y wrt y?\nAnswer: 32*d**3 - 16*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7793638 divided by 2?\nAnswer: -3896819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 2. Let l(u) = -u**3 - 16*u**2 + 37*u + 23. Let d be l(-18). Let y be d - 6\/3*5. Which is the nearest to w?  (a) -0.4  (b) y  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8\/3*b + 2\/9*b**4 + 26\/9*b**2 - 4\/3*b**3 + 8\/9.\nAnswer: 2*(b - 2)**2*(b - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, -3\/7, 0.11, 698 in decreasing order.\nAnswer: 698, 0.11, -3\/7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 437594.\nAnswer: 2, 218797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - ((2 - -1 - 0) + -2)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(500) + -1 + sqrt(500) - sqrt(500)) + 3 - (1 + sqrt(500))*4) + 3.\nAnswer: -30*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 + 3. Solve 0*r - 4*r = k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/45)\/((-9)\/((-945)\/(-14))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -128324742 + 3?\nAnswer: -128324738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 66 + 19. Suppose 5*f = x + d, -3*x - x = -f + 397. Let i = -65 - x. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 108 + 30*q**3 - 93*q**2 - 23*q**4 + 8*q**4 - 139*q**3 + 10*q**3 - 90*q**3 + 189*q = 0. What is q?\nAnswer: -12, -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28 - 17. Let f = -6 + m. Let g = f + 9. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbibiobbbbkbbsbikbi. Give prob of sequence ii.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 48 = 2*u, 5*u - 6*u + 9 = 5*s. Find the second derivative of -2*n**3 + 19*n**2 - 25 + u + 5*n - 10 - 99*n**2 wrt n.\nAnswer: -12*n - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -1496*n**3 + 7*n**2 - 1356*n - 24. Let m(h) = -1495*h**3 + 8*h**2 - 1342*h - 29. Let i(s) = 5*m(s) - 6*o(s). Find the third derivative of i(u) wrt u.\nAnswer: 9006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129 + 128 - 381 - 9*l + 124.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33 + 43. What is the highest common factor of 30 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1531584 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*k + 20*k = 0. Is -14\/27 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 899414 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -11, 6, 17, 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - j = 36. Suppose -5*i + j*i = 12. Is 11\/i - (-4)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -460  (b) 0.0265  (c) 4  (d) 1.2  (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -434064 and 9096?\nAnswer: 443160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 3*f - 3. Let x = -721 - -726. Let w(t) = -4*t + 4. Calculate x*g(i) + 4*w(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 11*d**2. Let l(v) be the second derivative of -v**4\/3 - 1243*v. Determine l(k(z)).\nAnswer: -484*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 6. Let b be (((-4)\/(-9))\/i)\/1. Find v such that 0 + 2\/9*v**3 + 0*v**2 - b*v**4 + 2\/9*v**5 + 0*v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 bigger than -417854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 3*a**3 + 18*a**2 + 86*a + 218. Calculate k(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 14*t**3 - 8*t**2 - 85*t - 6. Determine f(-6).\nAnswer: -2808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10\/330973759 + 158772414848557\/86384151099. Let b = -1838 + d. Calculate the common denominator of b and 35\/3.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80*l**2 - 145*l**2 + 63*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64640 divided by -12928.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1115475411 divided by 3?\nAnswer: -371825137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3.4 and -31099.4219844?\nAnswer: 31096.0219844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 50  (b) 2\/17  (c) 0.42  (d) -0.07  (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 21.593179 to 1 dp.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 44341275269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 19048.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4520243 by 21.\nAnswer: 645749\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 4*a + a. Let x be (((-1 - 0) + 1)*1)\/2. Let s be -8 - -6 - (x - a). Solve s*i + 5 = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1741 + 1737. Let a(w) = -5*w - 6. Let z(m) be the third derivative of -m**4\/12 - m**3\/3 + m**2. Let u = -24 - -35. Determine b*a(o) + u*z(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 15 = 4*a + 5*q, 0 = a - 3*q + 5. Let p be 5\/(a\/(-15)*3). Suppose -2*w = 2*r - 33 + 7, 2*w - 19 = p*r. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26850612 is divided by 111413?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/8, -45, 5\/3, 2\/9, 11, 5 in decreasing order.\nAnswer: 11, 5, 5\/3, 2\/9, -3\/8, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 13552 divided by 8\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 22, 50, 100, 184, 314, 502, 760?\n\"Answer: 2*z**3 - z**2 + 17*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13 + 32322?\nAnswer: 32304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(150)\/sqrt(5))\/(sqrt(6) - (sqrt(12)*-2)\/sqrt(2)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*s**5 + 86*s**2 + 1444*s wrt s.\nAnswer: -180*s**3 + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 6  (c) 0.3  (d) -0.5  (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3041 (base 7) to base 4\nAnswer: -100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that u**2\/11 + 677*u\/11 + 6012\/11 = 0.\nAnswer: -668, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k = 6*k + 6. Solve 2*q - k + 13 = -z, -25 = 3*z + 4*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 - n. Let w = 10 - 9. Let m(k) = 7*k**3 - k**2 - 7*k + 4. Let o(y) = w*m(y) - 6*t(y). Suppose 0 = -f + 4*f. Give o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 327 = 2*r + 325, 0 = -r - 4*a - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s + 8. Let h be -16*(12\/(-8) + 2). What is the lowest common multiple of 14 and v(h)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-5)*v*v**(-1\/36)*v*v\/((v*v*v\/(v*v\/v**(-12))*v)\/v)*v**(20\/3) assuming v is positive.\nAnswer: v**(563\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/11)\/((-18)\/12). Solve -14\/11*g - j - 30\/11*g**2 - 8\/11*g**4 - 26\/11*g**3 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -8.5?\nAnswer: 42.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -3*g + 38. Let q be o(18). Let k = q - -20. Solve k*h + 3 = -5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -318905*c**2 - 848982 wrt c?\nAnswer: -637810*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -757*s*v*y**2 + 2*s*v*y + 7*s*v - 2*s - 187*y**2 + 50*y wrt v.\nAnswer: -757*s*y**2 + 2*s*y + 7*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 12*g + 88 = 10*g, 4*l = -5*g + 44. Let w = 7 - -1. Suppose w = -0*s + s. What is the highest common factor of s and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.11 in 0.9, 1, -4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jggggpppgpp. What is prob of sequence ppg?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + 24. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 4*g + 20 + 16, x - 4*g - 4 = 0. Calculate the least common multiple of 4 and 5 - 5 - x\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 75249533?\nAnswer: -1\/75249533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/7?  (a) -0.5  (b) -1.2  (c) 2\/5  (d) 6.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 7:38 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**2 + 2*q - 13. Let i(w) = 5*w**2 - 7*w + 10. Calculate the remainder when i(9) is divided by a(-7).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 - 2*n**2 + n - 6. Let v be g(0). What is the tens digit of -24 + 297 + (v - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*f + 7*f - 1065*f = 11688 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 PM and 7:31 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -125\/114 and 65\/7068.\nAnswer: 7068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1257.2 + -1402. Round f to the nearest integer.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*s**2 - 4753*s - 42650 wrt s?\nAnswer: 6*s - 4753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1199 - 558. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 262509 to the power of 1\/2, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 32715 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1122333 (base 6) to base 13\nAnswer: -20298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f**2 - 10*f. Let w be v(-28). Let b = w + 2231. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 16*m - 32. Solve 0 = 3*o + m*v, -4*o - o - 3*v + 11 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of x**2 + 2048*x - 145 wrt x?\nAnswer: 2*x + 2048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*1*(33\/(-315) - 188\/1974). What is the biggest value in -4\/7, -1\/12, z, 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-13 + 7 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93 + 51 = 8*r. What is the hundreds digit of (3500\/(-150))\/((-4)\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(128) - sqrt(128))**2 - (-2*sqrt(2) + 0) - ((sqrt(264)*-2)\/sqrt(11))\/(sqrt(12) + sqrt(192)\/sqrt(4) + sqrt(48)).\nAnswer: 12*sqrt(2)\/5 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/s**0)**(-1\/2)\/((s**5\/s*s)\/s**(-1\/6))*(((((s\/(((s*s*s**(6\/7)*s)\/s)\/s))\/s)\/s)\/s)\/(s\/(s\/(s\/(s*s**(-6)*s)))*s))**(-20) assuming s is positive.\nAnswer: s**(8021\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29430511?\nAnswer: 11, 113, 23677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*b**3 + 596*b**3 - 1791*b**3 + 604*b**3 + 598*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50393500?\nAnswer: 2, 5, 100787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -66, -218, -470, -822, -1274, -1826, -2478?\nAnswer: -3230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -273*y + 5 = 5. Let z(f) be the second derivative of 1\/336*f**7 + 11*f + 0*f**4 + 0*f**6 + y*f**3 - 1\/160*f**5 + 0 + 0*f**2. Let z(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express g**3 - 2*g + 2*g + (2 + 3 - 3)*(426*g**3 + 9*g**3 + 13*g**3) + (3*g**3 + g**2 - g**2)*(-4 + 2 + 0) as r*g**2 + j*g**3 + o + l*g and give j.\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.6, 2, 2\/7, -0.1, -54, 4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**17*s))**(1\/21) assuming s is positive.\nAnswer: s**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -9594422 rounded to the nearest ten thousand?\nAnswer: -9590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/3456 and -139\/3263976?\nAnswer: 52223616","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 6*a**2 - 165*a + 12. What is z(6)?\nAnswer: -762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 2\/3, 5, -13\/4.\nAnswer: -13\/4, -2, 2\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -1 + 11. Suppose 4*g + h*v - 94 = 0, -7*g + 140 = -2*g - 5*v. Suppose 0*d - 369 + 1356 = 21*d. Calculate the remainder when d is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 6 = b - 5*l, l = 5*b + 6. Let a = 5 + b. Solve 4*r = -5*p + 12, -a*p + 8*p = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 6 - 64 = q + 5*f, 2930*q = 2925*q + 2*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i + 10. Let v be o(-10). Suppose v*p = -4*p. Suppose p = -g + 11 + 9. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 542, 5835, 20596, 49559, 97458, 169027, 269000, 402111?\nAnswer: 573094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -14*k**2 - 168*k - 3. Give l(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 45, 37, 29, 21, 13?\n\"Answer: -8*s + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7946000 rounded to the nearest one hundred thousand?\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 237*j - 214*j - 11868. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1429, 1, 1263 in descending order.\nAnswer: 1429, 1263, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 289 = 6*q + 43. Let s = q + 338. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*j**3 + 21*j**2 + 6*j = 0 for j.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9988169?\nAnswer: 31, 43, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -352 = -204*h + 668 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 251274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express i**4 - 2*i**2 - 5 + i**2 + 0 as l*i + r*i**4 + b*i**3 + c*i**2 + y and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 5, u: 7, c: 7}. What is prob of sequence cutc?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2134?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.57, 0.2, 55, 1\/9, 0.5?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 3630091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -5, -0.2, 1, 2\/19, 18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.013?  (a) 2\/9  (b) 1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of -103*t**3 + 223*t - 66. Differentiate m(h) wrt h.\nAnswer: -618*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0205953746 rounded to 6 decimal places?\nAnswer: -0.020595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 7:42 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4000 and 13600?\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 89*c**2 - 126*c + 35. Let t be k(-88). Calculate the highest common factor of t and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 413*l - 7. Let v be p(8). Let y = 46087\/14 - v. Calculate the common denominator of 93\/10 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-30)*6\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.45302m to millimeters.\nAnswer: 9453.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -202020221 (base 3) to base 7.\nAnswer: -61024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -211 - -210. Let g be (4 - (-2 + 4)) + 0. What is the third biggest value in -0.4, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3385\/10155*-3*29.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 3*a**3 + 211*a**2 - 21051*a - 1156. Calculate z(-126).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 321 divided by 232\nAnswer: 321\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15906452719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 + -94499224.\nAnswer: -94499223.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6\/371 + 407\/2226. Which is the closest to 0.1?  (a) -1\/10  (b) t  (c) -84  (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 78 + -311\/4. What is the third smallest value in 0.11, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 11:58 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*k**2*q**3 + 2*k**2 - 47*k*q - q**4 - 2*q**2 wrt q.\nAnswer: 42*k**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 78\/4*36\/(-54). Let h(u) = 259*u**2 - 11*u - 14. Let w be h(o). Round w to the nearest one thousand.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of -u**6\/40 + u**5\/12 + 9*u**2\/2 - 6*u. Let g(o) be the first derivative of j(o). What is the third derivative of g(c) wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 - (-20 - -11) - (-1 + 13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 42528\/(-86828)*63\/(-24)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 864*i**3 - 2579*i**3 + 850*i**3 + 863*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25339.0014651 - 25339. What is j rounded to 5 dps?\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 + -2 - 14) + 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) + 1)) + 2)**2 - ((-1*sqrt(175))**2 - sqrt(175))*-6.\nAnswer: -30*sqrt(7) + 1051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 + 17*x**2 + 678*x - 13658. What is g(20)?\nAnswer: -1298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l + 0*l + 2*l)*(-20 + 5 + 11)*(l - l - 2*l) to v + m*l**2 + k*l and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 + 10*b - 11. Let o be a(7). Differentiate -o*n**2 - 75 + 0*n**2 + 73 - n**2 wrt n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4932282649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 35\/37 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 123391 - 51a?\nAnswer: 122972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 1) + (-3 - (1 + -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 848 at most as big as 865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the second derivative of n**7\/504 - n**6\/180 - n**5\/60 - n**4\/12 - 2*n. Let m(o) be the third derivative of q(o). Is m(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 6:54 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (885\/180 + -1*5)*(-12)\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 27 = 53. Let r = i + -157\/2. Let y = -365.6 + 370.6. Which is the closest to 0.1?  (a) r  (b) y  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 40316425 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 260 - -1776. Suppose v + 4*n = 657, -3*v + 4*n = 3*n - s. What is the remainder when v is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 712\/(-14685) - 4\/30?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.8 - 0.7. Suppose 3*g + 9 = 0, 3*p + 7 = 3*g + 16. Let o be (7\/(-14))\/(p + 5\/2). Which is the biggest value?  (a) -3  (b) v  (c) 3  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 6*q + 11)*(-43 - 50 + 44).\nAnswer: -294*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 11*i - 1. Let j(r) = -1179*r + 41. Calculate j(l(a)).\nAnswer: -12969*a + 1220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -422?\nAnswer: 168.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 1360. Let s(i) = -i + 5. Determine -272*s(b) + t(b).\nAnswer: 272*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40)\/16*(-155)\/(14725\/(-684))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-176)\/(-792))\/(15\/54).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 3*o**3 + 7*o**2 + 7*o. Let v be h(-5). Round v to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.13  (b) -24  (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12942695957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148624?\nAnswer: 2, 7, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53\/((-742)\/(-112))*3\/(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + sqrt(153)*-2)*-2)\/(sqrt(9) - (sqrt(9) - (4*-2*sqrt(9) - sqrt(9)))).\nAnswer: -2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.096694673 to three dps.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5448 is divided by 778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -202, 0, 1, -2.\nAnswer: -202, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 6*u - 21. Let q(w) be the first derivative of 3*w**2\/2 + 3. What is the remainder when q(5) is divided by v(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 5)*(-16*d + 1 + 74*d - 24*d).\nAnswer: -34*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*s + 3*s**3 + s + 0*s**2 + 0*s**2 to k + n*s + r*s**2 + h*s**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 490 and -456.\nAnswer: -223440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2e5 - 84?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1400000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 73\/8?  (a) 2  (b) -2  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 5*z**2 - 3*z + 9. Let a(j) be the first derivative of 2*j**3 - 2*j**2 + 9*j + 63. What is -3*a(o) + 4*k(o)?\nAnswer: 2*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12324 or 12322?\nAnswer: 12324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.5  (b) 1  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -72 - -218\/3. Calculate the common denominator of h and 15\/9*(-135)\/(-72).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1216\/95 + -12)\/(2\/10). Solve -3*m = 12, w*v - 4*m - 16 = 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 83 = 2*p, -4*p + 2*b = -0*b - 130. Calculate the remainder when p is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (164 - 8*v**3 - 164)*(14 + 1 + v - 19).\nAnswer: -8*v**4 + 32*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**(1\/5)*t**(1\/3)*(t**3*t)\/t*t*t**(-4) assuming t is positive.\nAnswer: t**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + y - 13 = 0, -6*y = 2*u - y + 7. Let o(q) = -q - 1. Let p be o(u). Solve 15 = -p*f - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 39363054 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 25332311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from annneneananppanaaan. Give prob of sequence ap.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 46 = x - 11, 3*t + x - 13 = 0. Let o(g) = 2*g**2 - 3*g + 3. Let i(w) = -w**2 + 2*w - 2. Calculate t*i(z) + 4*o(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-460)\/(-50)*1)\/((-19)\/((-665)\/(-14))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*j - 19*j = -16*j + 304. Calculate the remainder when 926 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 13036*-0.077\nAnswer: -1003.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3912 and 1394196?\nAnswer: 454507896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -2*u. Suppose -3*t + 0 = -6. Let r(i) = t*i - 2*i + 2*i. What is m(r(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*c + 1352 = -223*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*1*sqrt(136))\/sqrt(8).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3631 = 235*z - 1069. What is the remainder when 1002 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -13*w**3 - 3*w**2 + 5*w + 36. Let j(s) = -13*s**3 - 2*s**2 + 4*s + 36. Determine 2*c(f) - 3*j(f).\nAnswer: 13*f**3 - 2*f - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 484687*h**2*l*r**3 - 10*h**2*l*r**2 - h**2*l + 44*h**2*r**2 + 2*h*l*r**3 - 166*l*r**2 wrt r.\nAnswer: 2908122*h**2*l + 12*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 - i - 4. Let y be o(4). Let b = y + 2. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -14*l + 44. Suppose -5 = u + 2*m, -l*m = -5*u - m + 35. Suppose -u*v + 4*v = -z + 2152, 2*z + 8590 = 4*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -3*d**3 - 12*d**2 + 32*d + 1. What is the remainder when x(-6) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2069 - 0.2931. What is the third smallest value in -4.2, d, 0, 4\/5, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38380*c - 75172*c + 40279*c + 2 to the form o + t*c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.343791 + 3115446\nAnswer: 3115445.656209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9)\/(2\/((-12)\/9)). Let i = -4 + q. Suppose 5*z - 3*l - 156 = 0, -i*z - l = -5*l - 54. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 + 2*t)*(-61412 - 58199 + 135407) in the form v*t + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is d49b (base 16) in base 13?\nAnswer: 1ba09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12045346*j**2*p**3 + j**2*p**2 + 194*j**2*p + 2*j*p**2 - 2*j*p - 361*j wrt p.\nAnswer: 72272076*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6308672 and 88.\nAnswer: 69395392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4023\/271745 - 11\/695. Let t be ((0\/(-7 - -15))\/(-2))\/(10 + 14\/(-1)). Which is bigger: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2589 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -52.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1461)\/(-24)*(-2)\/(-99). Let m = -5\/4 + r. Suppose 4 = -5*s - 2*c + 3*c, -4*c = -5*s - 16. Which is bigger: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 91 + -54. Let i(f) = 5*f**2 + 265*f + 1387. Let q be i(-49). Calculate the greatest common factor of q and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4974395212 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1704 - 1702. Let m be 3\/6 - (-2)\/(-4). Suppose m = -3*p + 2*p + 4*c + 20, 0 = -g*p + 2*c + 70. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*i**3 - 13*i**3 - 20*i**3)*(1 + 5 - 5)*(3 + 7 - 1) + 0 - 2*i**3 + 0.\nAnswer: -227*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34935 = 2332768*h - 2333453*h for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4297 - -4289. What is the closest to b in 3\/8, -1\/25, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yry when three letters picked without replacement from {y: 17, r: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -46, -44, -42, -40, -38?\n\"Answer: 2*q - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/7 + 6*z\/7 - 20\/7.\nAnswer: 2*(z - 2)*(z + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 + 4*a**2 - 3687*a + 18489. Give s(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 2*u + 12. Let i = -3 - u. What is the highest common factor of i and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3994*y + 16 + 3994*y - 2*y**2 in the form z*y**2 + f*y + h and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y**2. Suppose 0 = -3*m - 2*f - 163 + 178, 9 = 2*m + f. Let u(v) be the first derivative of -8 + 0*v + 0*v**2 - 10\/3*v**m. Give u(p(d)).\nAnswer: -40*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16990 + 17031. Solve -51 = v*s - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3152179 - -221.5.\nAnswer: -3151957.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -44 + -27. Let v(k) = -k**2 + 31*k - 37. Let i be v(27). Let b = p + i. Solve 2*a + 0 = -r - 3, 2*a - 4*r + 28 = b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40801, -81602, -122403?\nAnswer: -163204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -59891\/11 + 5445. Let l = 7 - 3. Find the common denominator of (l\/10)\/(20\/1325) and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 497461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3635862, 3635867, 3635884, 3635919, 3635978, 3636067, 3636192?\n\"Answer: p**3 - 2*p + 3635863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -57385, -229681, -516851, -918895, -1435813, -2067605, -2814271?\n\"Answer: -57437*v**2 + 15*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*u + 22*u + 156*u**2 - 25 + 22 - 2*u**3 - 10*u to the form g*u + s + v*u**2 + l*u**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 0*t - 5*t = -35, -h - t - 2 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -30 - 30*y - 34 + 62 as m*y + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1739)\/(-1480) - (-7)\/(-6). Let l(x) be the third derivative of 0 - 1\/720*x**6 - 1\/48*x**4 - 1\/36*x**3 - x**2 - p*x**5 + 0*x. Factor l(t).\nAnswer: -(t + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1444404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 31536 and 6503716?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18656231 is divided by 168.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 4, l: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wzzzkwzkwnzkenp. Give prob of picking 1 k and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7237516918169\/13128 - 551303847. Let s = 2\/1641 + g. Find the common denominator of 205\/(-45)*(-6)\/8 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0  (b) -3\/5  (c) 0.5  (d) 34  (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 241714728 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 138487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 2 + 6. Solve 5*i - x + 2*x = 0, 3*i + g*x + 17 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -93, -192, -291, -390, -489, -588?\n\"Answer: -99*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 338 + 806. Suppose -y = 4*y + t - g, 3*y - 5*t = 692. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 AM and 6:58 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x + 2. Let h be w(9). Let i = h - -11. Calculate the lowest common multiple of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 66 and 2343594?\nAnswer: 2343594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of -3*g**5\/5 - 6*g**4 + g**3 + 12*g**2 - 167. Let w(j) = 0. Calculate j.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 14*h**2 + 7*h - 16. Let m = 8 - 13. Calculate the remainder when y(m) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 61*x**2 - 3544*x + 75. What is l(58)?\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-17)\/((-119)\/179184) - (-15)\/(-21). What is the greatest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/11136 and 85\/348.\nAnswer: 11136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 72810*u - 1383418. Give t(19).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -66, -75, -72, -51, -6, 69?\n\"Answer: z**3 - 16*z - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 14*a + 6. Let t(q) = 5*q + 2. Let h(o) = -12*o**2 + o + 2. Let b = -7 - -6. Let p be h(b). Give p*t(g) + 4*n(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -4*19\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (56\/112*1\/1)\/((-6)\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6387 = 29*q - 28964. Calculate the greatest common divisor of 53 and q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**2 + 65 + 125 - 29*a + 73 - 252 in the form c*a + l*a**2 + g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that d**4\/8 - 1753*d**3\/4 - 14037*d**2\/8 - 5265*d\/4 = 0.\nAnswer: -3, -1, 0, 3510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-2 - -1) + (13 - 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, t: 1, u: 7, f: 2, p: 9}. Give prob of sequence aa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(143) - -4*(sqrt(143) - 1*sqrt(143)))\/(2*sqrt(176)))**2.\nAnswer: 325\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/9 - 10304*i\/9 + 13271552\/9.\nAnswer: 2*(i - 2576)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(1\/3)*s)\/(s\/(s\/s**5)*s*s*s)*s*(s\/((s*s**8\/s)\/s))\/s*s**(-3\/4)*(((s**2*s*s)\/s)\/(s\/s**10))**(-45) assuming s is positive.\nAnswer: s**(-6629\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (1 - (-28)\/(-10))*4840\/(-7744)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16624097 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of 0*j + 1\/280*j**7 + 0 + 1\/2*j**3 - 3\/80*j**5 - 1\/8*j**4 + 1\/80*j**6 - j**2. Factor l(m).\nAnswer: 3*(m - 1)**2*(m + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 50 - 46. Let f = 361 + -430. Sort f, 0, 0.3, i in descending order.\nAnswer: i, 0.3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2078, 2083, 2090, 2099, 2110, 2123, 2138?\n\"Answer: m**2 + 2*m + 2075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.83 * 1.4\nAnswer: -1.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -51*n**3 + 253*n**2 + 38*n - 145. What is k(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -841512, 1, 4\/45?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -150 - -150.2. Let d = -5.03 + 0.03. Which is the nearest to 1?  (a) 4  (b) p  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6521139.\nAnswer: 3, 37, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00021229 to 6 dps.\nAnswer: 0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 971604 is divided by 6309?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 861 + 243. Solve -1089 = -5*m - y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226*t = 60*t - 128*t - 556*t + 30600 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 3555636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 1)*(3 - 5 + 0)*(-43*y**3 + y**3 + 9*y**3).\nAnswer: 198*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 27\/(-9) + -1 + 1. Let j(c) = c**3 - 7*c**2 - 1. Let z be j(7). Let d(q) = q**3 + q**2 + q + 1. Let g be d(z). Put b, g, 2 in ascending order.\nAnswer: b, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18.52663ng to tonnes.\nAnswer: 0.00000000000001852663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39017431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -478*i = -197*i + 6463 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -217 or -194?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -219.3 + 206. Let c = h + 15.96. Let g = c - -10.44. What is g rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + (1 - (-10)\/5). Put -2, k, 5, 0 in decreasing order.\nAnswer: 5, k, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 384, 388, 392?\n\"Answer: 4*v + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.5*3183.\nAnswer: 11140.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -26633?\nAnswer: -26633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of 5*w**3\/3 - 1. Let x(a) be the first derivative of 1\/2*a**2 + 0*a - 3. Calculate g(x(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 - 17. Suppose 0*d + 12 = 3*d. Solve -k = -d*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 794965702 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6 - (-4 + 3 - -7)*-2) + 1. Let k be (3\/3)\/(((-154)\/4)\/7). Are v and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 9  (c) 1\/5  (d) 0  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ymm when three letters picked without replacement from ykmkkpmypmypmpppm.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -n - n, -2*n = 5*p - 18. Suppose -2*a - 14 = 4*v, a - 23 = 2*v + p*v. Suppose -r = -a*d - 1, -d - r + 0 = -1. Solve -5*k + d - 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-224928)\/(-10560) - (-3)\/(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) 1.16  (c) 187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/1255, 98, -4, 3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 5*l**2. Let p(x) be the third derivative of 43*x**5\/12 + 118*x**2. Determine u(p(f)).\nAnswer: 231125*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -56*r**2 + 3*r + 3. Suppose 54*i - 270 + 108 = 0. Let n(s) = 112*s**2 - 5*s - 5. Determine i*n(m) + 5*b(m).\nAnswer: 56*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 8, d: 2}. Give prob of sequence du.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from {g: 5, j: 4, u: 4, h: 3}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38 - 19. Calculate the greatest common divisor of s and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 66 = -23*s. Solve -y + s*y + 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 45500000 to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -91 divided by 6?\nAnswer: -91\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68415 is divided by 2073.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-8) - (-6 + (-1464)\/(-224))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 + 29*j - 45. Determine x(28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1041, 4, 31 in decreasing order.\nAnswer: 1041, 31, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 748163, 2992278, 6732469, 11968736, 18701079, 26929498?\n\"Answer: 748038*b**2 + b + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) -1\/8  (c) -443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 129*k**4 + 3*k**3 + 2*k**2 - 409. Let l(r) = -259*r**4 - 7*r**3 - 5*r**2 + 818. Let d(p) = -3*l(p) - 7*x(p). Find the third derivative of d(g) wrt g.\nAnswer: -3024*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.48, -2\/7, -1.7, -4, -34?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of f**3\/3 - 2*f**2 - 32*f. Let x(u) = -u**3 - 4*u**2 + 3*u + 14. Let q be x(-4). Determine y(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 871009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h. Let o(v) = 936590395*v. Determine o(p(q)).\nAnswer: -1873180790*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -6*w**3 - w**2. Let q be h(-1). Suppose 0 = -4*d + 3 + q. Solve -b - 15 = -d*v, -b + 1 + 19 = 5*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 43.359 - -0.141. Let b = -114 + h. Let x = b + 70.5000449. What is x rounded to six dps?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/16  (b) 0.5  (c) -1  (d) 0.14  (e) -2  (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -2\/15*m**3 + 862\/15 + 574\/5*m + 286\/5*m**2 = 0.\nAnswer: -1, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 + -2)\/((-4)\/(-20)). Let x be ((-10)\/(-6))\/(b\/15). Let n = 0.06 - 0.06. What is the third biggest value in x, n, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4930918 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 5780 divide 858340297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 - (4 - 4) - -18. List the prime factors of 1 + -15*(4 - f).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (78\/65)\/(-6)*(-30)\/(-54).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 35, -19.\nAnswer: -19, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4385, -17472, -39281, -69812, -109065?\nAnswer: -157040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4223066180?\nAnswer: 2, 5, 3637, 58057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 7*k**2 - 53*k + 155. Let j(t) = -4*t**2 + 27*t - 91. Let h(p) = 9*j(p) + 5*x(p). Calculate h(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5523813 to the nearest integer?\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 64312661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3810 + 2533. Let s = n + 2428. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 5166423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-3*(sqrt(320) + sqrt(320)*-2 + sqrt(320)) + -4*sqrt(320)*1)*-1)**2.\nAnswer: 5117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2.348102 litres?\nAnswer: 2348.102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 738*v + 9207 = -99*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 50888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 706320 divided by 5\nAnswer: 141264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4, 102, 92, 0.2, -4\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13)*2*3*-1.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2 and 311.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 - 13*q + 46. Let k(d) = 3*d**2 + 25*d - 91. Let b(t) = -2*k(t) - 5*z(t). Let w be b(9). Solve -w*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l - 3*l - 240 = 4*r, -r - 49 = -l. What is the least common multiple of 231 and l?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(8\/32) - 40. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 195 divided by -1\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 5*o - 12 = a, -4*o - 3*a - 3 = 0. Let d(t) = 7*t**2 + t**3 - 4*t - 4*t**2 + 0*t - 2. Give d(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6.7 >= 2\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -11\/3*s**4 + 0*s**6 + 7\/6*s**3 - s**2 + 25*s + 0*s**5 + 0 - 1\/42*s**7. What is the second derivative of f(a) wrt a?\nAnswer: -20*a**3 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1615905 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/17  (b) -11  (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -175.9?  (a) -5  (b) 2\/37  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -76726644 by -13991.\nAnswer: 5484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -0.4, -1137\/8, 3\/5, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -24*b**2 + 9*b + 15. Let w(g) = 2*g**2 - 1. Let y(c) = -v(c) + 2*w(c). Is y(-5) a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1565 - -1568. Let o(q) be the first derivative of 10 + q**2 + 4\/3*q**3 + v*q. Let u(y) = y**2 + y + 1. Determine -o(s) + 2*u(s).\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lzllzzz. What is prob of picking 3 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1655 a factor of 17691432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) 4\/13  (c) -7  (d) 2\/699\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 2*x - 24, 12 = -2*x + 3*x + 2*b. Let p(k) = 11*k - x*k + 2*k. Let r(l) = 4*l - 1. Determine -5*p(z) + r(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 356 + 1151. Does 53 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sppp when four letters picked without replacement from {p: 10, s: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62 - 7*r + 6 - 5*r - 32.\nAnswer: -12*r - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**2 + 24*u + 8. Let z be t(12). Suppose 3*a - z = -a. Factor -3*r**2 + 11*r**3 - 3*r**a + 2*r**2 - 7*r**3.\nAnswer: 4*r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of -x**4\/2 - 5*x**3\/3 - 3*x**2 + 4*x - 4. Is g(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**8*(p\/(p*p*p*p**(-1\/10)*p*p))\/p*(p\/(p\/p**(1\/7)))\/(p\/p**(4\/5)) assuming p is positive.\nAnswer: p**(213\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -9*c - 168. Calculate the remainder when r(-23) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31 - -319\/10. Suppose 0 = -4*j + 2*t - 238, j + 0*t - 5*t = -55. Calculate the common denominator of 74*3*(-1)\/j and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 11 - 19*w + 3 + 18*w. Let c be x(9). Suppose -h = r - 10, h - c*r - 3 + 17 = 0. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -328713 by -9961.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -49727\/31 or -1605?\nAnswer: -1605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20162*w + 119*w**2 - 110*w**2 - 40327*w + 253*w**2 + 20165*w.\nAnswer: 262*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16201 - 15753. What is the remainder when 471 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 21*a**3 + 5*a**2 + 1. Give m(3).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -169, 29, -38\/9, 5?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h - h + 2*h)*(1 - 3 + 4) - 8*h - 6*h + 4*h + h + 5*h - 4*h - 6*h + 2*h + 5*h + (1 - 2 - 1)*(-2*h + 0*h + 4*h).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**(-3\/7)*s*s)*s**(-3\/7))**(-1\/7)*s**(-1\/2)\/s*s*s\/s**(-1\/12)*s*(s**0)**(18\/5) assuming s is positive.\nAnswer: s**(145\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 AM and 9:06 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*j - 48*j**2 + 109*j**2 - 4*j + (17 - 127 - 16)*(j**2 + j**2 - 4*j**2) to the form u*j + t + o*j**2 and give o.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8358606476 to the nearest integer?\nAnswer: 91425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000014546993 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Is 1224967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17*a**4 - 89*a**3 + 42*a**3 + 38*a**3 + 223 + 2*a wrt a?\nAnswer: 204*a**2 - 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/2)\/(6\/8). Let x be (3 - (-33)\/(-9))\/((-2)\/18). Let s = 300 + -300. Solve -b*w - x = -s*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 26807489 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -5284590?\nAnswer: 5284586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-2*-2*sqrt(175)*5)**2 + 1.\nAnswer: 70001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132)\/(sqrt(11) + sqrt(22)\/sqrt(2) + sqrt(11)) - sqrt(12))\/sqrt(6))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = 4*m - c + 4, 2*m + 34 = -c. Let q(w) = -6*w**2 - 2*w**2 - 2*w - 13*w + w**2 - 1 + 6*w**2. Give q(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107959712?\nAnswer: 2, 7, 481963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - h**2 - 41*h**4 - 2*h - 4*h**4 - h**3 + h + 6 + 101*h**4 to m*h**2 + n*h**3 + t*h + p + v*h**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -18*s - 5. Let p(q) = -390*q - 6. Let m(f) = -356*f - 5. Let c(g) = -12*m(g) + 11*p(g). Calculate -5*c(j) + 6*v(j).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14108 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from rogocllocrlrlyg.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 8:28 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1.2, 17\/2, -6\/29 in decreasing order.\nAnswer: 17\/2, 2, -6\/29, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-5)\/2)\/(-5))\/(((-680)\/11220)\/(72\/22))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*z**3 + 11694262*z**2 - 156*z - 46417 wrt z.\nAnswer: -12*z + 23388524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 - -1. Suppose 0 = 2*j - a - 32. What is the greatest common factor of j and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.013*0.1.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l - 4*l - 9 = 0, -101 = -b - 4*l. What are the prime factors of b?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.47 - -0.07. Let n = -3245\/7 - -463. Which is the third biggest value?  (a) 1\/13  (b) n  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 4*d = 856 - 857, h + 5*d = -7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 11, 25, 47, 77, 115?\n\"Answer: 4*r**2 + 2*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 8 = -w. Let a be w - 1\/(1\/(-2651)*1). Suppose -7*i = -0*i - a. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102222 + 102022101222?\nAnswer: 102021222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 540 + -505. Calculate the highest common factor of a and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -48032.39 + 48084.38909. Let y = x - 52. Round y to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -53\/141 - -2\/47. Put 4, -1\/2, q in decreasing order.\nAnswer: 4, q, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 - c**2 + c - 5. Suppose 11*z - 9*z - 32 = 0. Suppose -z*q = -7*q. Determine t(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.855265 litres in millilitres?\nAnswer: 855.265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(3\/4)\/(k*k*k**0*k))**(3\/4)\/((k\/(k*k*k\/(((k**(-1)*k)\/k*k)\/k)))**(-4\/3)*k*k\/k**2*k**7) assuming k is positive.\nAnswer: k**(-203\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/3 - 614*o**2\/3 - 24065*o\/3 - 23452\/3.\nAnswer: -(o + 1)*(o + 41)*(o + 572)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (25849 + 4445 - 1009 + 40969)*(3 + 2*w - 3) to c + p*w and give p.\nAnswer: 140508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -4  (b) 0.32  (c) 3\/2  (d) 23  (e) -0.5  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + 12*f + 6. Give l(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 9*t. Suppose -2*q + 15 - 5 = t. Find the third derivative of 0*z**2 - 2*z**6 - 4*z**2 - 4*z**q + 4*z**5 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 56758.2 or 6\/5?\nAnswer: 56758.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, u: 2, g: 1, r: 1, c: 4}. What is prob of sequence crg?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 15*(7 - 124*(-7)\/(-126)). Factor 10\/3*b + 5\/3*b**2 + u.\nAnswer: 5*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = 4*y, -2*y - 6*v = -11*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11019 is divided by 438?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -755*v + 2618 = 41*v + 230 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -633 + 958. Let m be ((-1)\/(-1))\/(-8 - y\/40). Solve -14 = -3*f - 5*r + 18, f + r - m = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 3:14 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 AM and 5:10 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*q**3 - 3*q**3 + 7*q**3 + (-2*q**2 - 1 + 1)*(588 + 26*q - 588) in the form w*q + j*q**2 + r*q**3 + g and give r.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -5212 < -20849\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 866 + 62 = 29*p. Solve -12*h = -28 - p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -0.0106, 21, 15806 in descending order.\nAnswer: 15806, 21, 1\/6, -0.0106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 515090?\nAnswer: 2, 5, 19, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -73722, -71992, -70262, -68532?\n\"Answer: 1730*g - 75452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 25?  (a) 3\/7  (b) 3  (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 691 = -5*s - 1187, 3756 = 2*v + s. Suppose -5*x + v + 3629 = 3*p, x - 5*p - 1079 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 1, -3\/28, -3\/4, -4 in decreasing order.\nAnswer: 1, 0.5, -3\/28, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -93, -0.13, -2, 2, 7, 3\/7?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10315*k**4 + k**2*m - 8175*m - 1 wrt k.\nAnswer: -41260*k**3 + 2*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 273, 544, 815, 1086?\n\"Answer: 271*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + (2 + sqrt(176) + -3 - sqrt(176)))*-4)**2 + 5.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*v + 23 - 9*v - 1.\nAnswer: -2*v + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 164 and 1517?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, v: 5, r: 14}. What is prob of sequence vvr?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(4\/5))\/k)\/k**(-19) assuming k is positive.\nAnswer: k**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from ppnnnplnnnnu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -703222, -703227, -703232, -703237, -703242?\nAnswer: -703247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -440, -441, -442?\n\"Answer: -h - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4559 and 6.\nAnswer: -4553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40 - -40)\/((0 + 1)\/((-20)\/60)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/10380 and 27\/4004.\nAnswer: 10390380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/9112 and -28\/363341.\nAnswer: 2906728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21933 divided by 872.\nAnswer: 21933\/872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -13726 take away 3?\nAnswer: -13729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 + 47*w - 47*w)*(w - 4*w**3 + 7*w**3 - 6*w**3 - w**2).\nAnswer: 3*w**5 + w**4 - w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -215589 divided by -1551.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 137 and 26715.\nAnswer: 26715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of -n**4\/12 + 5*n**3\/3 + 7*n**2\/2 + 4*n. Let f be w(11). Let c be 1*(-3 - f)\/1. Which is smaller: -3\/22 or c?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39, -321, -921, -1761, -2841?\nAnswer: -4161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64, 128, 188, 244?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*m + 119 - 119. Let i(k) be the second derivative of -3*k**2 + m - 8*k**4 - 57\/10*k**5 - 5\/14*k**7 - 11\/5*k**6 + 14*k - 13\/2*k**3. Solve i(w) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20528423 is divided by 1003?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -566*v**4 + 247*v wrt v?\nAnswer: -6792*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -530.416 - -528. Let y = k + -0.794. Let v = y + 0.21. Which is the nearest to -1?  (a) v  (b) -4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -1 + 7. Suppose -212 - 358 = -o*g. Calculate the remainder when g is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 13*t - 26. Let q be y(-8). Let o = 24 - q. What is the remainder when 37 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8137\/16 or -509?\nAnswer: -8137\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 3*h + 6. Let z be r(6). Let g(p) = -p**2 - 4*p. Let k be g(-3). Suppose 2*n - 15 = -k*n. What is the highest common divisor of n and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*1*((-250)\/(-10))\/5*4\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 4*f**3 - 2*f**2 + 8*f. Let c = 3143 + -3149. Let g(s) = -5*s**3 + 2*s**2 - 9*s. Calculate c*g(v) - 7*q(v).\nAnswer: 2*v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/((-9758)\/(-205)))\/(-2)*2\/(-40).\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -447504 - -925745. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.25*1.84\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/16 and -57\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p - 32 + 12 + 13)*(5*p**2 - 3*p**2 - p**2) - 3*p**3 + p**3 + 3*p**3.\nAnswer: 5*p**3 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10 + 1402331023?\nAnswer: 1402331033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w**3 - 3 - 7*w**2 - w**4 + 9*w**2 + 3*w**4 as j*w + s*w**2 + q*w**3 + b*w**4 + n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - -3. Suppose -3*n + 5*n = d*l + 184, 137 = -4*l + 5*n. Let r = l - -62. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/a**(-2\/13)*a)\/(a*a*a**12\/a*a))**(-43)*(a*a**(1\/12)\/a*a*a**(-2\/15))**50 assuming a is positive.\nAnswer: a**(13361\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -654*j + 639*j + 60 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -12, -55, -118, -195, -280, -367, -450?\n\"Answer: t**3 - 16*t**2 - 2*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2*f = -4 + 24, 0 = -3*a + 4*f + 40. Suppose q = 3*q + 3*h - a, -h = -4*q + 32. Solve -4*j - q = -j + 5*g, -6 = 4*j + 2*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/2*4\/5. Suppose 0*q = -2*q + t + 27, -q = z*t - 6. Let g = q + -14. Does g = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - 3*d**2 - 4*d + 2. Let j be v(4). Suppose 0 = y + j - 57. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20*720.\nAnswer: -14400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20 - -22. Let t(u) = 1 - 1 - 2*u**j + 9*u**2. Let q(i) = 2*i. Determine q(t(z)).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of 0 + 23\/2*r**3 - 18*r + 2*r**2. What is the remainder when y(2) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 - 5*z**2 - 22*z + 94. Give t(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-4*((sqrt(2299) - (-4 + (sqrt(2299) - (sqrt(2299) + 0))))*-6 + 0 + 3*(-1 + sqrt(2299)))**2*-4*6.\nAnswer: 513216*sqrt(19) + 6168960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -8*b + 10*b - 9956, 14951 = 3*b + 4*z. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 1\/4, 1\/6, 1, -148?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((sqrt(171)*-4 + (sqrt(19) - sqrt(38)\/sqrt(32)))*2 + ((sqrt(228) + -1*sqrt(228))\/sqrt(12) + (sqrt(76) - sqrt(76)*2) + sqrt(76))*4)*-6)**2.\nAnswer: -1731375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 less than 476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 188*t**2 - 5*t - 4. Is 15 a factor of j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from naazanaaaazzzza.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 4*d - 2. Let l be (-6)\/(-4 + 3 - 0). Let s(n) = -n**3 + 5*n**2 + 6*n + 2. Let z be s(l). Give a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 288 + 30*g**3 - 2*g**3 + 74*g**3 - 87 - 20*g**3 wrt g.\nAnswer: 246*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -136*b**3\/13 - 1206*b**2\/13 + 1522*b\/13 - 180\/13 = 0.\nAnswer: -10, 9\/68, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(272) + 2)*-1)**2*-4 + sqrt(136)\/(sqrt(48)\/(-2*sqrt(6))) + (sqrt(425)*2 + -3)**2.\nAnswer: -190*sqrt(17) + 557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/2410074 and 179\/197316?\nAnswer: 33741036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-922 - -943)*(-14)\/6.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 547.7212 litres?\nAnswer: 547721.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 PM and 8:53 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/6 and 22\/15857.\nAnswer: 95142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 542528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**4\/2 - l**3\/2 - 183*l**2\/2 + 365*l\/2 - 91.\nAnswer: (l - 13)*(l - 1)**2*(l + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2228 - 0.2128. Which is smaller: 7.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -6*u + 3. Suppose n - 5*x + 8 = 0, -2*x = -4*n + 1 + 3. What is r(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-4 - (3 + -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6804958 to the power of 1\/2, to the nearest integer?\nAnswer: 2609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20 + 22. Let c be (-11)\/1540*(-1805)\/p. Let y = -46\/7 + c. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0, -0.01441, 1\/2, -3\/2, 2\/23, 2\/9, -146?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*a - 264 + 549 - 273. Is a at least -18\/815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2650 is divided by 66.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*c = 16*c + 56*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 2. Let g = -554 - -557. Which is the closest to g?  (a) w  (b) 1\/2  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156530110 to the power of 1\/3, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 69\/30 + -2 - ((-1666)\/180 + 10)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of -11*y**4\/24 + 5*y**3\/6 - 2*y**2. Give u(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 1:29 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cyfanfn. Give prob of picking 1 f and 2 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ktq when three letters picked without replacement from {t: 1, q: 2, k: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y - 11. Let d be b(7). Suppose d*u - 182 = 40. Suppose -w = w - u. What is the remainder when w is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35046 (base 8) in base 10?\nAnswer: 14886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/1)\/(12\/12). Let x be -1*(-2 + r - -8). Let i(m) = -m + 5. What are the prime factors of i(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -23*f**3 - 5*f**2 + 2*f + 1. Let l be i(5). What is the common denominator of l\/(-1092) + (-4)\/26 and -119\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 2*g - 340 = 0, u + 3*g + 36 = -42. Let i be 7 - u\/105*(-5)\/2. Solve -i*b + 0*q + 3 = 3*q, -q = -2*b - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 207*f**2 - 15. Let y be j(4). Let b = y - 1550. List the prime factors of b.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**2 - 2*j + 2*j)*(j**2 - j**2 + 2*j**2)*(j - 3*j + j + (-6*j - 2*j + 2*j)*(-1 + 0 + 0) + 94 + 19*j - 94).\nAnswer: -48*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34 + -17. Calculate the remainder when 48 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26 and 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - -1) + (-21)\/(-7) + 2. Suppose m*a - 1105 = 10*a. Let w = -118 - a. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 13, -7\/55106, -0.19?\nAnswer: -7\/55106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1067428 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*(f*f**(4\/3)*f*f)\/f)\/(f\/(f*(f\/f**7)\/f))*((f*f**(-3))\/f)**(3\/29))**(2\/3) assuming f is positive.\nAnswer: f**(-518\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -39 + 45. Suppose 195 = -f + c*f. Suppose 2*i - 15 = f. Which is smaller: 26 or i?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -334 + 758. What are the prime factors of t?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 PM and 12:05 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 397626?\nAnswer: 2, 3, 66271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 453 = 3*q + 534, 3*q + 1005 = o. Let w(z) = 23*z**3 + 7*z**2 + 10*z + 3. Let l be w(-3). Let v = q - l. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2\/47 + -1065\/376. What is the common denominator of -101\/4 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-4))\/(3\/8*14\/42).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1463, -1462, -1461, -1460?\n\"Answer: k - 1464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -473*v - 2. Is w(-1) 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 {z: 11, w: 7}. What is prob of sequence zwwz?\nAnswer: 77\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/7)*g)\/((g\/(g*g*g\/(g\/(g*g**(-3\/4)))))\/g)*((g\/g**0)\/g*g)**(-4\/21) assuming g is positive.\nAnswer: g**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -272664 by -63.\nAnswer: 4328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/10 and -37\/266.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2984)\/(-3730))\/(24\/10)*(-6)\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*h = -82 - 659. Find the common denominator of h and (-195)\/(-2)*2\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, e: 1, p: 3, v: 2, w: 4}. What is prob of sequence rvwp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-245 + 265 + (0 - -14)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, n: 7, x: 6}. What is prob of sequence xxnm?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + -14327?\nAnswer: -14330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5541.\nAnswer: 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 41*j - 5. Let b be 2\/(-4)*(2 + (-6 - 2)). Suppose 10 = b*p + 4. What is the tens digit of m(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - 25*h**2 - 24*h - 49. Let v be p(26). Let y(n) = n**2 + 7*n - 4. Let j = -14 - -16. Let u(t) = -t**2 - 6*t + 3. What is j*y(s) + v*u(s)?\nAnswer: -s**2 - 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10877 (base 16) to base 6.\nAnswer: 1241235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s - 1. Let t be 4\/(-24)*142*-3. Let m = t + -68. Determine c(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1453, 2377, 2767, 2623?\n\"Answer: -267*w**2 + 1725*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 120 or 8141\/68?\nAnswer: 8141\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 3*k - 7*k + 74, -4*k + 14 = l. Let s be 16\/(-15) - (-12)\/l. Which is the third smallest value?  (a) -13  (b) 2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101 (base 7) to base 5\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 26120?\nAnswer: 287320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2646)\/1092 - (-2)\/(-26))*2\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 AM and 12:49 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1))**(-18\/11)\/(i**(1\/4)\/i*i*i)**(-2\/9))**(-4\/3) assuming i is positive.\nAnswer: i**(-758\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 + 10*t**2 - 43*t - 80. Determine c(-12).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8255 is divided by 3475?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7076291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 6*sqrt(45).\nAnswer: -1 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -114, -249, -482, -819, -1266, -1829?\n\"Answer: -i**3 - 43*i**2 + i - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 323*y - 369 + 2*y**2 + 1029 - 185*y - 52*y = 0. Calculate y.\nAnswer: -33, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (23\/(-3) - -7)\/(8\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**4 + m**2 + m - 1. Let g(w) = 7*w**4 - 3*w**2 - 3*w + 27. Let i(x) = 12*a(x) + 4*g(x). Differentiate i(k) wrt k.\nAnswer: 160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 9:58 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32122645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 28 (base 13) to base 15\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2996 - 2412. Solve -c*g = -571*g - 26 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - g + 2*g - 4 = 0, -5*f = -5*g + 10. Is 335\/1*(f - 6)\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17053.\nAnswer: 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -41 (base 13) in base 14?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u**2 + 23*u - 56. Let h be a(7). Let v(m) be the second derivative of -m**5\/20 + 7*m**4\/12 + m**3\/3 - 4*m**2 + m. Calculate v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/60 and 15\/6092.\nAnswer: 91380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25125 divided by 331.\nAnswer: -25125\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jeejejejee. What is prob of picking 2 e and 2 j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1097, -1533, -1971, -2411, -2853?\nAnswer: -3297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 6002  (c) 1\/47  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -39*d. Let v be l(-5). Let u = v + -186. Solve -2 + u = q + 4*c, 5*q - c = 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-2\/5))**(-1\/26))**(22\/7)*((x\/(x\/(x\/x**3)))\/(x\/(x*x*x**(1\/3)\/x*x*x)))**(-6\/25) assuming x is positive.\nAnswer: x**(-81\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 52\/171 and -29\/288.\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.11 + -0.058. What is o rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 2057209584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10634\/(-260))\/(12\/(-8315)). Let v = s - 28334. Calculate the common denominator of v and 67\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 7*k + 1. Suppose 0*g = 3*p + g + 22, 3*p - g = -20. Let r(v) = -15*v - 3. Let y(c) = p*x(c) - 3*r(c). What is the derivative of y(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (121\/29 + -4)\/((-25)\/(-10))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -42496\/16643?\nAnswer: -42496\/16643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -2 + -18 + 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/5 - 172564*j - 37222917620.\nAnswer: -(j + 431410)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (33\/6)\/(62\/620). Let d = 113 - 172. Let w = k + d. Put w, 5, -2 in descending order.\nAnswer: 5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y. Let d(r) be the second derivative of 21*r + 0 + 0*r**3 - 13\/6*r**4 + 0*r**2. Give u(d(o)).\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 5*8.4659\nAnswer: 42.3295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -35755720 divided by 38038?\nAnswer: -940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -9116.36 times -0.5?\nAnswer: 4558.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 2. Let m(p) be the second derivative of p**4\/12 - p**2\/2 + 3*p + 12. What is a(s) + 2*m(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/9 + 7057*s\/9 - 7541872\/9.\nAnswer: -(s - 5744)*(s - 1313)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00015575 rounded to 6 dps?\nAnswer: -0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + -11 - -14 - (3 + 0 - 84374). Round f to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 632.70279us in hours?\nAnswer: 0.000000175750775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -1  (b) 0.2  (c) -40  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 41 = 5*v, h - 2*h = -2*v - 41. Let k = 11 - 8. Suppose -h = -a - k. What is the remainder when a is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55701?\nAnswer: 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 9:10 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 990408 to the power of 1\/2, to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 PM and 9:05 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(1\/17)\/q*q\/q**(3\/2)*(q**(1\/6))**15 assuming q is positive.\nAnswer: q**(18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -176 less than -177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4207 in 0.7, -1\/9, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 21 = -30. Let f(y) be the first derivative of -4*y**2 + y + 1. What is the units digit of f(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = 5*s + 12, -u + 5 = 15*s - 17*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that p**5\/3 + 160*p**4 + 905*p**3\/3 - 8090*p**2 + 17208*p = 0.\nAnswer: -478, -9, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -159\/10 in -5, 2, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5\/26831019 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of 19*d**4\/2 + 5*d**3\/6 - 5*d**2\/2 + 2*d. Let k be n(1). Let w = k - -46. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**33\/c**3*(((c*c**(-21))\/c)\/c)**(-44) assuming c is positive.\nAnswer: c**998","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30675 and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 63581753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -h*l**3*o**3 - 2*h*l**3 + 2*h*l**2*o**3 - 11*l**2*o + 2*o**3 + 4 wrt l.\nAnswer: -6*h*o**3 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-141)\/2)\/((3582\/23084)\/((-18)\/(-87)))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 26856015779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -10349, -20757, -31225, -41753?\n\"Answer: -30*d**2 - 10318*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16924 - -16928. Let y(t) = -34*t**2 + 135*t + 4. Determine y(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23.0000074 + 23. Round a to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 59833*d**3 - 161*d.\nAnswer: 358998*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2 * -709\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -9*i**2 + 3*i - 29. Let t(c) = 19*c**2 - 5*c + 59. Let g = 34 - 38. Let d(h) = g*t(h) - 9*x(h). Is d(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4797305 is divided by 865.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (41 - (17 + -6)) - 22?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -283, -1273, -2969, -5371, -8479, -12293, -16813?\n\"Answer: -353*f**2 + 69*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/(-28) - 235\/(-35). Suppose -39563 = -s*m + 45242. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1362, -1360, -1356, -1350, -1342, -1332, -1320?\n\"Answer: w**2 - w - 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 39300*l**2 + 2*l - 703.\nAnswer: 78600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.5 - -5. Put 2\/3, j, 6\/11 in ascending order.\nAnswer: j, 6\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 703 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddu when three letters picked without replacement from {d: 3, s: 1, u: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((q*q*q**(-1\/5))\/q)\/q)\/q*q**(1\/10))**(-27))**9 assuming q is positive.\nAnswer: q**(2673\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1858 and 14.\nAnswer: 13006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8360412 and 5688.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 + -0.5. Let l = -0.01 - 4.99. Let i be (-35)\/14*2 - 129\/(-27). What is the second smallest value in l, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1122623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**5 - 6*c**4 + c**3 + 8*c**2 - 2*c + 2. Let l(r) = 6*r**4 - 9*r**2 + 3*r - 3. Let i(t) = -2*l(t) - 3*m(t). Suppose i(u) = 0. What is u?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((6*(sqrt(80) + (4*sqrt(80) + sqrt(80) - sqrt(80))) - sqrt(80))\/(sqrt(144)\/sqrt(9)) + 2)**2)*-2.\nAnswer: -8416 - 232*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -33.7 + 37. Let m = 3.3 - y. What is the nearest to m in -5, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s = 4*s + 7722. Let t = -2521\/2 + s. Calculate the common denominator of t and -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.03  (b) 2.2  (c) 0  (d) 1487\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/55 and -70\/99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 215 - -36. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 3 + 4)*(2*m - 9 + 3 - 10) - 1 - 6*m + 1 to the form g + h*m and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29682932*u**3 - 8*u**2 + 29862487*u + 3 wrt u.\nAnswer: 178097592*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -150, -301, -456, -615?\n\"Answer: -2*k**2 - 145*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19.8193566 >= -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f\/(f*(f**17*f)\/f))\/f)\/(f**(-11)\/f))\/((f*f**(2\/3)*f)\/f)**(-3\/4))**(-22) assuming f is positive.\nAnswer: f**(209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 11:55 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/2 + (56\/(-1))\/(-14). Let q(w) = -w**3 + 10*w**2 + w - 32. Give q(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21017 at most -21018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3431433 (base 5) to base 15\nAnswer: 13348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nqu when three letters picked without replacement from {n: 2, q: 5, u: 12}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136\/(-24)*-2 - 10.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -196729 times -0.1?\nAnswer: 19672.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/44548 and 23\/560?\nAnswer: 890960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 - 21*m + 41. Let z be n(19). Let h = z - -6. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*x, -2*x = 5*h - 3*x - 14. Let r be -15 + (3 - (h + -2)). Let i = -7 - r. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*g**4 - 6*g - 132 + 130 + 5*g**4 + 7*g + 6*g + 3*g**2 to p*g**3 + r*g**2 + f*g + a + m*g**4 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3 = -p + 2, -4*p = n + 4. Suppose -4*t - t = n. Suppose t = -4*s + 6*s - 52. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o - o**2 - 1 + 2*o**2 + 2. Let n(s) = 6*s**3 - 2*s**2 + s - 2. Let j(x) = 2*h(x) + n(x). What is the second derivative of j(z) wrt z?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2*o = -5*k + 24, -3*o - 3*k = 18. Let g(y) = -y - 2 - 5*y + 4*y - 2. Let d be g(o). Calculate the highest common divisor of 72 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 116.5865l in millilitres?\nAnswer: 116586.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 87.61 + -87.41. Which is the nearest to -0.1?  (a) t  (b) -31  (c) -1\/8  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3426655 and 608505.\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 83740739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1236824910 to the nearest integer?\nAnswer: 35169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 18938689.\nAnswer: -4\/18938689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*5*(-48 - 28\/4). Let y = u - 276. Let v(z) = z**2 + 1. Let g(d) = 6*d**2 + 8. Determine y*g(l) + 8*v(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**5 + 43*k**4 - 374*k**3 - 24776*k**2 - 43520*k + 188416 = 0.\nAnswer: -32, -4, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2217 - 483.77.\nAnswer: -483.9917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 9*a**2 - 23*a - 134. Calculate h(-9).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/3  (b) -0.2  (c) 25.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10202111 - -102?\nAnswer: 10202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.7 and -731812.9231.\nAnswer: -731813.6231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -85b658 - 1?\nAnswer: -85b659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 + -15. Let g = d + 6.04. Let y = g - -0.96. What is the closest to 0 in y, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3146039 is divided by 1827?\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.73946195 to four dps.\nAnswer: 3.7395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 - 5325*g**3 + 10638*g**3 + 79*g - 6 - 5315*g**3 to the form k*g**2 + c + q*g**3 + x*g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - w = m + 33, 5*m = -5*w - 65. Let k be 1\/m - 231\/(-56). Put -4, 1, k in increasing order.\nAnswer: -4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*i + i + 5*i)*(0 + 2 - 4 + (-1 + 1 - 1)*(1 - 4 + 2) + (1 - 3 - 4)*(0 - 1 - 1)).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -83b022de - -3?\nAnswer: -83b022db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -20458 or -20491?\nAnswer: -20458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 366781969.\nAnswer: 127, 271, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/(-3))\/(2\/12). Suppose -3*m = 3*f - 24, -m - f = 4*m - 40. Calculate the greatest common factor of m and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -4*q - 90. Let k be o(-23). Solve -5*t = k*b - 0*b + 15, 3 = -b + 2*t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -19*n + 2*n**2 - 67*n + 60*n - 36*n - 136 - 224.\nAnswer: 2*(n - 36)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + 58\/(-18) - 173\/(-9). Calculate the greatest common factor of c and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16422)\/391)\/((-324)\/12).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*v + 0*v + v)*(-3 + 1 + 1)*(-3*v - 3*v + 5*v) as n*v**2 + w + j*v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, b: 3, l: 5, x: 3}. Give prob of sequence ltb.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (1*(-1)\/3)\/(((-1221)\/(-990))\/37)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 29207088 and 4896.\nAnswer: 58414176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of 4*q**3\/15 - 1938*q**2\/5 + 3872*q\/5 + 7662. Determine c so that b(c) = 0.\nAnswer: 1, 968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 15\/6 - (-3)\/(-6). Suppose d*i - 2 = -6. Let y(x) = -2*x - 3. Calculate y(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35630219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 + 9 - 21)*(1 - 3 + 1)*(f**2 - f + f) to the form r*f**2 + b + w*f and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 2 + 2 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 6*n**3 - 6509*n + 9*n**3 + 3*n**2 + 0*n**3 + 3.\nAnswer: 15*n**3 + 3*n**2 - 6509*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3593.73 rounded to the nearest ten?\nAnswer: -3590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3.9 and 0.02.\nAnswer: -3.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**3 - 32*z**3 - 20*z**3 - 22*z.\nAnswer: -53*z**3 - 22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 53 = -3*c. Suppose -3*k = 2*v - 28, -4*k - 14 + c = 3*v. Suppose -14 = -5*j + k. Calculate the highest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a century in decades?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2*r - 1. Let i(m) = m**2 + 2*m - 1. Let u be i(-2). Let q(x) = -x + 1. Give u*y(n) + 4*q(n).\nAnswer: -2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from gcghuu.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 8, -39*h + 35*h = -2*y + 47960. What are the prime factors of y?\nAnswer: 2, 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {h: 10, a: 10}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22 and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.5 and 9506?\nAnswer: 9506.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 151\/10 + -76\/5. Suppose -240 = -2*d - 6*d. Find the common denominator of o and 10\/(-8)*-6*93\/d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 180 = -11*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2*180\/144*(54\/15 + -2) and 0 + (1 - (-63)\/1).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 607 is divided by 207.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*n + 4*n + 2*n + 1 - 5*n wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (4 - 4 - (12 - 6 - 11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -7\/4, -1\/13, 98\/23?\nAnswer: 98\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 106 - 34. Suppose t*m = 66*m + 24. Solve -6*b = g - b - 9, -m*b = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 60 - ac?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*l + l**5 - 4*l + (4 - 4 + 2*l**2)*(-5*l**3 + 0*l**3 + 3*l**3) + l**5 + 3*l**5 - 5*l**5 - 10*l**5 + l**2 - l**2 - 5*l**4 - 84*l**2 - l**5 + l + 84*l**2.\nAnswer: -15*l**5 - 5*l**4 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 983 a factor of 1790769437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1 and 923456.\nAnswer: 923457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1147806*y**2 - 2297139*y**2 + 1149334*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*v**2 + 26*v - 26*v)*(11 - 11 - 13*v)*(16 - 16 - 26*v).\nAnswer: -2704*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -647 - -1378. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + -3)*153\/(-1530)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 16\/(-104)) + 28\/(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 56862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12)\/7840*5\/(-18). Let w = 18029\/7056 + t. Calculate the common denominator of 29\/(-9) - (-4 - -1) and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5711 - 5716. Let z(g) = g**2. Let k(h) = 4*h**2. Determine r*k(b) - 10*z(b).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 9704069\nAnswer: -1\/9704069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1.12 times 1297\nAnswer: 1452.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 935 - 780719.\nAnswer: -779784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2620487796 and 6365?\nAnswer: 2620494161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -66 + 129. Calculate the highest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*((-34)\/(-20))\/(47\/(-3290)*-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffjfjffffjff.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 2, -5, 3, -1 in increasing order.\nAnswer: -5, -1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 105044 - -3?\nAnswer: 105051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -3*x**2 - 6*x - 11. Determine q(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 654*u**2 - 81095*u - 125. What is w(124)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 508112.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -497343004097167288465\/209242 - -2376879422393189. Let c = -5961\/9511 + i. Let n = 15433 - c. Calculate the common denominator of 23\/18 and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -263*d - 2564. Let r be k(-31). Calculate the highest common factor of 135 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*n**2 - 4 + 25 + 7*n**2.\nAnswer: n**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {m: 1, h: 1, t: 1, y: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*-6*(-4)\/8. Let x = 2 + -3. Let i(w) = -30*w. Let f be i(x). Calculate the highest common factor of f and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -23*v**2 + 1906*v - 13805. Determine s(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 0.1  (c) 387\/11  (d) -3  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112466696 divided by -495448.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 = 2*v - 88. Let n = -119 - -84. List the prime factors of (-218)\/v + 5\/n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*x**2 - 4*x + 3*x - x**2 + 2*x**3 - x**4 - x**4 to the form l*x**3 + o*x**4 + h + u*x**2 + r*x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - 2*c**2 - c - 1. Suppose 2*v + 0*y - 42 = 4*y, 3*v = -3*y + 18. Suppose -4*b - g - v = 0, -3*b - 4*g + 5 = -3. Is x(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*q + 95 - 245 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -22, -1 in increasing order.\nAnswer: -22, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -45.3 - -39. Let o = d + 6.29922. Round o to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 635613 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1549217093 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 32.051 + -0.051. Let c = 31.99999884 - v. What is c rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.5 + -3.4. Let v = -3 - -1. Which is the closest to 0?  (a) s  (b) v  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*r + 2\/5*r**2 - 2\/5.\nAnswer: 2*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 284*h + 34*h**3 - 524*h + 357*h to m + f*h**3 + u*h**2 + r*h and give r.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 45770 - -239?\nAnswer: 459a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-2))**(-40))**(2\/21) assuming y is positive.\nAnswer: y**(80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 600152 is divided by 173?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*r - 182 + 154. Solve 3*n - 9 = 5*v + 10, -4*v - 2*n - r = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 4*v = 90 + 66, -5*v = -5*d + 375. Suppose -48 = -18*n + 15*n. Suppose 3*t = d - n. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 - 5*l**2 + 0*l**2)*(-12491*l + 12932*l - 1 + 0).\nAnswer: -1764*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/24 - (9 - (-817)\/152) - 3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 12.68275 milligrams?\nAnswer: 0.00000001268275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 - 33*c**2 - 70*c + 6. Let m be i(35). Suppose 3*a + m - 27 = 3*u, 0 = 3*u + 6. Factor 0*v**2 - 3\/5*v**3 - v**a + 0 + 8\/5*v**4 + 0*v.\nAnswer: -v**3*(v - 1)*(5*v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -6, 2, -46\/9, -1313?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(14)\/sqrt(2) + (sqrt(7) - (-2 + sqrt(567))))**2.\nAnswer: -56*sqrt(7) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*r**2 - 1272 + 2550 + 1771*r - 1771*r - 1274.\nAnswer: 10*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1010011101110110 (base 2) to base 10\nAnswer: 42870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 6\/7, 17, -0.09, -0.04, -5\/6?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/95800 and 37\/36.\nAnswer: 862200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 58 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -7*z**3 - 3*z**2 + 689 - 2*z + 4*z**3 - 691. Let h(c) = -9*c**3 - 9*c**2 - 6*c - 7. Give -2*h(w) + 7*y(w).\nAnswer: -3*w**3 - 3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 + 19*w**2 - 25*w - 8. Let k be a(-20). Suppose 0 = r - k - 25. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 PM and 8:33 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 78, 212, 398, 636?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 4*m = 0. Suppose 0*k + 3*k - 243 = m. Suppose 5*r + 2*v = k, 19 = r - 4*v - 6. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11135408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -171 divided by 3953\nAnswer: -171\/3953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 345568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/1*4\/8. Let j(d) = d + 13 + n*d - 3. Let x be j(-7). Solve 3*m + 0*m + 4*a = -35, -x*m + 4*a + 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -117*j**4 + 6*j**2 + 1 - 227*j - 248*j**4 - 6*j**2 wrt j.\nAnswer: -4380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from lrxrdndixlxlxrxxxr.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x - 4. Let v be m(3). Let n be v*(0 - -2) - 4. What is the units digit of (n\/(-4))\/(6\/32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 + 5*z**2 + 7*z - 3. Let s(w) = w**3 + 9*w**2 + 6*w - 10. Let d be s(-8). Let q be y(d). Solve -5*t = -3*b + 14, -2 = 2*t - 0*t - q*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**(-4)*g*g\/(g\/g**(-1\/19)))**(-3\/23) assuming g is positive.\nAnswer: g**(60\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 125784816 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -3013*y + 26898. Determine s(9).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00701356873 rounded to four decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 716150598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/6)\/(4\/(-10) - 39\/(-135)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 4*f**3 + 8*f**2 - 18*f - 3. Let l(v) = -v**3 + v**2 + 2*v + 1. Let t(n) = -6*l(n) - 2*o(n). Factor t(k).\nAnswer: -2*k*(k - 1)*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 1, 3, 2, -5 in increasing order.\nAnswer: -5, -2\/17, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -94.68*-3.84.\nAnswer: 363.5712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s**2. Let k(x) = 3*x + 5. Suppose p - 4 = -6. Let d be (p\/(-2))\/(2\/10). Let m(h) = h + 2. Let j(l) = d*m(l) - 2*k(l). Determine c(j(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4*w**3 - 10*w**2 - 6*w + 6. Let d(y) = -5*y**3 + 11*y**2 + 7*y - 7. Let m(l) = 5*d(l) + 6*q(l). Let i be m(-5). Solve 5*n = -1 + i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7947*d**2 + 4614*d**2 + 4367*d**2.\nAnswer: 1034*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 6*t = -2*l - 644, -4*t + 2*l - 840 = 0. Let d = 1116 - 747. Let k = d + t. List the prime factors of k.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*z + 440 = 32*z. Let r = 5832 - 5722. What is the smallest common multiple of z and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000316227 to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -8*y - 10. Let m be u(-6). Suppose 3*k + 3*z = z + m, -2*k + 3*z + 8 = 0. Solve 3*b + 27 = -3*d, -2*d = -7*b + 2*b - k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, -0.5, 0.6, -0.75, 6, 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -680, -681, -682, -683?\n\"Answer: -u - 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of y**5\/20 + 19*y**4\/12 - y**3\/6 + 18*y**2 - 38*y. What is the tens digit of t(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 233023741?\nAnswer: 23, 113, 89659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74524650.\nAnswer: 2, 3, 5, 19, 79, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*x**4 - 120*x**2 - 926 wrt x?\nAnswer: -8*x**3 - 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -505*z - 153371. Suppose -2*v + y = -3*y - 6, 3*y - 67 = -5*v. Calculate the remainder when c(-304) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -90, -128 in increasing order.\nAnswer: -128, -90, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(24)\/sqrt(3))**2 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, i: 2}. Give prob of sequence hi.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32731 - j**2 + 32731.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of 0*y + 15\/2*y**2 + 42. Let t(w) = -3 + 3 + 2*w. Determine t(g(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssszsseeese. Give prob of picking 1 z and 2 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2709 and 196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.81 + -0.66. Let f = 8 - 9. Which is greater: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 + 3*y + 3. Let c(u) = -2*u - 2. Let p(m) = -m**2 - 21*m - 56. Let r be p(-18). What is r*d(v) - 3*c(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47888?\nAnswer: 2, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - u = 1, 2*z - 4*z - u = -11. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42204 is divided by 3834.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, -235, -617, -1143, -1813, -2627?\nAnswer: -3585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (-3 - (23 + -6 - 8 - 10))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-nine fifths of a microgram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -16655495 - 2456*n + 16655495 as d*n + s and give d.\nAnswer: -2456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 871 and 949?\nAnswer: 63583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tmrmrxrtgqtxxm. Give prob of sequence qttx.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6332513, -12665027, -18997541?\n\"Answer: -6332514*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 886*g - 12144. Determine r(12).\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51 - m**2 + 291*m + 51 - 12*m**3 - 137*m + 36*m**3 - 154*m.\nAnswer: 24*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (-4 + 3)) + (8 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10.326918 times -64\nAnswer: -660.922752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16023*x**3 - 15371*x**3 + 31220*x**3.\nAnswer: -174*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.96 + -0.04. Let h = 7 + y. Is h not equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 - 91 = -4*q. Suppose 0 = -3*f + 7*f - 2*t - 2238, -q = -3*t. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 236967664 and 4240.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 753 and 10.\nAnswer: 7530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-186)\/(-15) + -38 + 24. What is the second biggest value in d, 9, -3\/5, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2091 and 539006828?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-33)\/264 + (-11)\/40)\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 6:19 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, -1, -22 in descending order.\nAnswer: 1, 0, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 divided by -17084489?\nAnswer: -24\/17084489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20*f**3*j**2 + 4*f**3 + 3*f**2*j - f**2 - f*j + 7*j**2 wrt f.\nAnswer: -120*j**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6825 - -6827. Let y(o) be the third derivative of -9\/100*o**5 - 22*o**a + 0 - 1\/5*o**3 - 11\/40*o**4 + 0*o. Find w such that y(w) = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 + 2*l**2 + 2*l + 4. Give k(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4242 + 430044?\nAnswer: 434341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 26001331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -43 (base 14) to base 7.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + -2. Let d be (1 + -7)\/6*0. Solve j + l = -d*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*r**4 + 21*r**2 + 2 - 67*r**2 + 3*r + 14*r**2 + 31*r**2 to o*r**4 + a*r + m*r**2 + h*r**3 + y and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 3*q, 2*r + 6*q - 18 = 3*q. Solve r*h - 4*z - z = 12, z = -3*h + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7553866 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -25208.8 - -25209. Let a = 5 + -3. What is the closest to 2\/41 in i, a, -0.5, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 PM and 4:21 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (3 + 0)) + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 3*k - 36 = 0, 201*k = -x + 414*k - 184*k - 380 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 13 + (2 - 0 - (4 + -1)). Suppose 0 = 8*a - y*a + 68. Calculate the remainder when a is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1219020600*h**2 + 2511151*h - 71?\nAnswer: 2438041200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u = -9*u - 80. Solve 55*i - 83*i - u*i - 729*i**3 + 517*i**2 + 8 - 31*i**2 = 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (330\/(-120))\/(495\/(-72)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12324 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of o**4\/4 + 2*o**3\/3 + o. Find the second derivative of u(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of c**4\/18 - 17*c**3\/9 + 14*c**2 - 2*c + 1730. Solve u(j) = 0 for j.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (7\/(-42))\/((-2)\/4). Which is the biggest value?  (a) -3  (b) v  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/2 - 23224507*j**2\/2 - 46449017*j\/2 - 23224509\/2.\nAnswer: (j - 23224509)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 587239059?\nAnswer: 3, 11, 23, 457, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*z**4 + 1257*z**2 + 7*z + 13686 wrt z?\nAnswer: -60*z**2 + 2514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 2. Suppose 8*r - 135 = 49. Let c(x) = -12*x - 10*x + r*x. Let z(s) = 10*s - 2. Calculate o*z(f) - 8*c(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + 1 + 11. Let f = 36 + -22. Let w = 13.8 - f. Which is the second smallest value?  (a) -2  (b) v  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-8 - (-3 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z + 2*d - 11, 624*z + 3*d = 628*z + 24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -225 - -181. Let x be -1 + (-102)\/r - 4\/(-22). Sort x, 5, -5 in descending order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5115252*r + 2041431 with respect to r.\nAnswer: -5115252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + i - 7 = 0, -2*a = 2*a - i - 28. Solve 5*b = 27 - a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45461030 (base 7) in base 8?\nAnswer: -17076777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 2*t - 5*t + 24, 5*v + 4*t = 37. Let 10*s**v - 3470*s**2 + 32*s**4 - 4*s + 3430*s**2 + 8 + 10*s**5 - 16*s**3 = 0. Calculate s.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 574871 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3464, 13862, 31194, 55460, 86660, 124794, 169862?\n\"Answer: 3467*c**2 - 3*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -4407*i - 2374*i - 2102*i in the form s*i + o and give s.\nAnswer: -8883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 14*k - 543. Give a(38).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 5*k + 23. Let v be w(-4). Suppose 4*l + t = -4 - 14, -2*l - 3*t = 14. Put v, 4, l in descending order.\nAnswer: 4, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 52426837 and 17079.\nAnswer: 157280511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of -35*r**3\/6 - 17*r**2\/2 - 47*r. Let a(f) = -6*f - 3. What is 34*a(z) - 6*l(z)?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166050*f**2 - 166025*f**2 + 498116*f**2 - 166042*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 233\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 18*h + 153. Suppose -3*v = -5*f - 6, -10*f + 5*f + 10 = -5*v. Calculate i(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1)\/(2*1\/(-318))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -6*s. Let g(t) = 10664*t**2. Calculate g(w(n)).\nAnswer: 383904*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 614326 to the power of 1\/2, to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1624093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -29, 4, 250, 2\/7, 1 in ascending order.\nAnswer: -29, 2\/7, 1, 4, 5, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 656*f - 661*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -6*k**3 - 74*k**2 - 205*k + 17. Give m(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + (0 + 0 - 0). Suppose -4*b + 51 = 3. Let z be (-29)\/(-8) + -16 + b. Which is greater: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (74\/148)\/(1\/124*2). Suppose -s*q = -30*q + 3*b - 15, 4*b = 20. Let -2\/3*j**2 + q + 4\/3*j - 2\/3*j**3 = 0. Calculate j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-64)\/(-12)*(-3)\/(-2). Let l = d + -11. Let j = 3 + -2. Sort 3, l, j in ascending order.\nAnswer: l, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - 17*d**2 + 3324*d + 19975. What is z(-6)?\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 - 3*a**4 + 15 + 16*a**4 - a**3 + 3*a**3 to the form m*a**4 + v*a + k + z*a**3 + f*a**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24, -39, -42, -27, 12, 81, 186, 333?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.27 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 82*g + 5. Let l be r(5). Let i = -45 + l. Round i to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -228287 = 920*r - 174007 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 90\/11 - (-336)\/(-1848). Let x(i) be the first derivative of -u - 1\/4*i**4 + 2\/3*i**3 + 0*i + 0*i**2. Find the third derivative of x(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2332 - 2332. Are b and -3\/2492 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(288)*-3 + (-4*sqrt(16)\/sqrt(8))**2)*-5.\nAnswer: -180*sqrt(2) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(((-27)\/(-891))\/(1\/3))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1441?  (a) 2  (b) -4\/3  (c) 26  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -134*m - 242*m + 1504 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t - 10. Let b be j(12). Let l be b + (-3 + 0 - 0). What are the prime factors of (0 - -4) + (2 - l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 99\/526 and -79\/22.\nAnswer: 5786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2076)\/5536)\/((-18)\/152)?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v\/v**(1\/4)*v*(v**(-1)\/v)\/v)\/(v**(1\/5))**(-49)*(v**9*v\/(v**0\/v))**(-1\/65) assuming v is positive.\nAnswer: v**(2699\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 0 + 6 + 0 + -6 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 154 - -26c3b5?\nAnswer: 26c519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 240261926 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 74851023?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 + 5. Let g be 33*(s\/3)\/(-2). Suppose 3*r = 20 + g. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43203 (base 5) to base 11.\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 3*v**2 - 161*v + 270. Calculate the lowest common multiple of p(52) and 1658.\nAnswer: 8290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**5 - 1436*i**4 + 128140*i**3 + 136812*i**2 - 652320*i + 388800 = 0.\nAnswer: -3, 1, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1.2, 2\/19, -6, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -134 + 1431?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34 + -41. Let o be (-343)\/r*(-1 - -3). Suppose -6 = -2*z, -z + 113 + o = 2*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 0 - (-1 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 456\/228*(-1)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.2 + -10.2. Let u = w - -9. Sort 1, -1\/4, u in increasing order.\nAnswer: -1\/4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i - 3*i + 6*i + (-3 + 3 - 1)*(17*i - 49*i - 12*i) - 2*i + i - i.\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9816 and 216770.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -570, -571, -572, -573, -574?\n\"Answer: -u - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 3*s + 6*s = -10, 4*s + 17 = k. Let w be 18*2*k\/(-4). Is (-6)\/w*(-1 - -31) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 5*d - 120, 50 + 18 = 3*d + 2*i. Let j(w) = 2*w - 6. Let k(g) = g**2 - g + 25. What is the remainder when j(d) is divided by k(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that z**2\/3 - 113801*z\/3 - 73702580\/3 = 0.\nAnswer: -644, 114445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13958336.\nAnswer: 2, 7, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -1  (b) -0.1  (c) -432\/29  (d) 129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -60, -219, -484, -855, -1332, -1915, -2604?\n\"Answer: -53*k**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8913958 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 20*f**2 - 782*f. Let l(r) = 3*r. Determine l(q(c)).\nAnswer: 60*c**2 - 2346*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20938 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 116553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 AM and 9:15 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-1 + 9\/6). Suppose 0 = -7*z + 3*z + w. Let y(s) = s + 3. What is the units digit of y(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1002100 + -1?\nAnswer: -1002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 11360, 21601, 31842, 42083, 52324, 62565?\n\"Answer: 10241*a + 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -705, -1828, -3701, -6324, -9697, -13820, -18693?\nAnswer: -24316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 112700 and 236670?\nAnswer: 2366700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35108778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 5*m + 1. Suppose n - 2*b = 12, 5 = -3*n + 5*b + 37. What is r(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1112509, -1112686, -1112871, -1113070, -1113289, -1113534, -1113811?\nAnswer: -1114126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 135090 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19750 is divided by 9832.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4160, 4201, 4268, 4361, 4480, 4625, 4796?\nAnswer: 4993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + (sqrt(363)*-1 + 1 - sqrt(363))*1)*3 + 3)**2.\nAnswer: 396*sqrt(3) + 13077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1072421, -1072486, -1072551, -1072616?\nAnswer: -1072681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-864)\/84)\/18*2\/2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -352 - -385. Calculate the remainder when 45 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 41769549 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -100022 (base 3) in base 4?\nAnswer: -3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 5*q - 20. Suppose 0 = 5*g - 46 + 36. Suppose -q*r - 6*c + 28 = -2*c, -g*c + 2 = 0. Are 6 and r nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2056396.\nAnswer: 2, 41, 12539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3618 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 135333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of -h**3\/6 - 9*h. Let w(m) = -4*m + 5. Let i(a) = -a + 1. Let b = 35 + -20. Let f(d) = b*i(d) - 3*w(d). Determine j(f(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 49205 and 0.796.\nAnswer: 49205.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + 9*k**2 + 25. Calculate the remainder when 461 is divided by j(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -130 + 150. Let t(a) = -a - 32. Let r(z) = -33. Let u(l) = 2*r(l) - 3*t(l). Let h be u(-10). Solve 4*i + h*i - n = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80, 88, 108, 146, 208, 300, 428, 598?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, -334, -1.\nAnswer: -334, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 + 12*r + 9. Let u be g(-11). Does 6 divide (120\/9)\/u*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 + 7. Suppose 31*t = -6 - 25. Let q be ((-1)\/2)\/(5\/22). Which is the second biggest value?  (a) q  (b) k  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 18900878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26 - -66. Suppose 35*v = 40*v - f. Let y be 96\/(-252)*(-6)\/v. What is the second smallest value in 4, -0.4, y, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 11 + 214 = -37*o - 377, -28 = 7*d - 3*d + 3*o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*(-5)\/((-25)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, 26, 12, 2 in decreasing order.\nAnswer: 26, 12, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -139491 to the nearest 1000.\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(432))*3 - (-4 + 2*sqrt(147)))**2.\nAnswer: -88*sqrt(3) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 131520105662 and -0.2.\nAnswer: 131520105661.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1425576.9 seconds in minutes?\nAnswer: 23759.615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1968a + 16?\nAnswer: 196a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t - 210 = -11*t. Suppose 29 + t = 3*b. Solve z - b = -s - 3*z, -4*z + 17 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - 15*c**2 - 16*c - 10. What is the lowest common multiple of 92 and x(-14)?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107903 is divided by 176.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 4*f**2 - 1 + 3*f**2 - f - 3*f**2. Let u be o(-4). Suppose -15 = -q - 4*q. Is q at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*h + 510 = 28*h - 470 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -67*l**2 - 65 + 136 + 515*l + 58*l**2 - 71 in the form x + o*l**2 + b*l and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/(-2))\/((-50)\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -107 - -118. What is the third biggest value in -3\/4, -0.2, 5, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/5)\/z**7)\/(z**(1\/3)\/z)**(-21\/8) assuming z is positive.\nAnswer: z**(-167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 5*(-3 + sqrt(1872) + sqrt(1872) + 1 + 0) + -3)**2*6.\nAnswer: -18720*sqrt(13) + 1124214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2247 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m**4\/7 - 11344*m**3\/7 + 85884*m**2 - 28448*m = 0. What is m?\nAnswer: 0, 1\/3, 56, 889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33387173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5455 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 PM and 5:15 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -138, -1\/3 in decreasing order.\nAnswer: 5, -1\/3, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -906\/7 + 129. Let m = -26 + 27. Let n = 0 - 0. Which is the biggest value?  (a) z  (b) n  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/14195245 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + 7*r**2 - 9*r + 9. Give w(-11).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 160295?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -2  (b) -3.9  (c) -0.02  (d) -28.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 141623627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5302 + -2328. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*g + g + g**3 - 129*g**2 + 130*g**2 to s*g**3 + i + v*g + z*g**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 3*y + 2*q + 3*q - 3, -41*y + 32 = 43*y - 88*y - 7*q for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -410, -1216, -2022, -2828, -3634, -4440?\n\"Answer: -806*c + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -161 - ((21 - 6) + -7). Let p = o + 232. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = a + 3*a - 328, 0 = -2*a - 5*x + 138. Is a a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -141 + 143. Suppose 4*b - 6 = -v*b. Suppose 0 - 1 = k. Is b less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/1293085 and -46\/2327553.\nAnswer: 11637765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3*z = 5*v + 78, 4*v = 2*z + 96. Let c be (-12 + -43)*4\/5. Is c > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*w - 127 + 43 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p, 1 l, and 1 c when four letters picked without replacement from {e: 1, c: 1, p: 2, o: 1, l: 1, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, u: 1, o: 2, i: 4}. Give prob of sequence goo.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -47*j**2. Let v(a) = -8*a**2 + 11*a. Let c(g) = -g**2 + g. Let l(i) = 44*c(i) - 4*v(i). Determine t(l(k)).\nAnswer: -6768*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-628 + 621 - (0 + -41 + 2)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 + 2*f**2 + f + 8. Let x be y(0). Suppose x*w = 7*w. Suppose w = 2*c + 2*c - 588. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 3*l - 14, 0*l = -5*l + 2*y + 13. Let z(f) be the first derivative of 5*f**3\/3 - 3*f**2\/2 - 2*f - 2. Is z(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 978950347?\nAnswer: 978950347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 11, q: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*o - 13 = -0*k, 0 = -3*o - 12. Calculate the smallest common multiple of 8 and (2\/k)\/((-8)\/(-40)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 48\/74745665 and 48\/9115325.\nAnswer: 373728325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1641 + 1641.5. Which is the second biggest value?  (a) 0.4  (b) -0.4  (c) y  (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0695 - -0.086. What is i rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - 10*q**2 - 31*q + 174. Let l be v(5). Let d(h) = 66*h - 2. Let i be d(3). Let p = l + i. Calculate the highest common factor of p and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (26 + 12 + 42)*(1 - 1 + 2*p**2)*(-2*p**2 + 0*p**2 + 5*p**2) to the form t*p**2 + n*p**4 + d + j*p**3 + i*p and give n.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 8  (b) -0.2  (c) -27  (d) -2\/13  (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7 - 5 - 80*x + 54*x + 2 - 2*x - 2 + 3*x + x - 3*x + (2 + 0 + 0)*(x - 4*x + x) - 2*x + 3 - 3 - 3*x + 5*x - x + 2*x - 4*x + 3*x - 3*x + 0*x + 2*x.\nAnswer: -32*x - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -0.5. Let v = 42130 + -42133. Which is the second biggest value?  (a) 0.1  (b) q  (c) 0  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.0037881 to four dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o + 5*o**2 + 1 - 6*o**2 - 10*o. Let z be t(-11). What is the closest to 0.1 in z, -4, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*b**2 + 23*b**2 + 22*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -191*y**4 + 63462*y**3 - 19922761*y**2?\nAnswer: -4584*y + 380772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -2*i - 3*z + 41, -5*z = 5*i - 105. Let h be 121*2 + 10\/5 + -2. Calculate the highest common divisor of i and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/((-10)\/4)*5. Suppose 0 = f*x - x + 20. Let j be -2 - 9\/(45\/x). Solve 0 = -j*l + 2 + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10180.\nAnswer: 2, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 524 - 524 - z**2 + z + 12*z - 6*z**2 + 4*z.\nAnswer: -7*z**2 + 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*o = 54*o + 200. Solve -13*r - 126 = -o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 - 190696724.011597.\nAnswer: -190696728.011597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12911704 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of 106*g**3\/3 + 5*g**2\/2 - 908*g + 1609. Differentiate h(p) with respect to p.\nAnswer: 212*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-8)\/(f\/(f**(2\/15)\/f)))**33 assuming f is positive.\nAnswer: f**(-1628\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + h = -162. Let z be (h\/36)\/(3\/2). Let i be 10\/3 - (-2)\/(-6). Which is the second biggest value?  (a) 0.1  (b) i  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r**2 + 1 + 2*r**2 - 1 - 207*r.\nAnswer: -2*r**2 - 207*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 = -5*a + 367. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 196 + -176. Suppose 0*k + 16 = 4*k. What is the least common multiple of l and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -44*x + 46*x, -4*h + 2424 = x. Calculate the remainder when h is divided by 191.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 300 is divided by 95.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -11*f**2 + 14. Let v(z) = -z**2 - 12*z - 13. Let t be v(-10). Suppose -31 + t = 3*j. Let x(i) = -7*i**2 + 9. Give j*x(y) + 5*k(y).\nAnswer: y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/(660\/(-108)))\/((-3)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express p**2 - 60 - 5 + 12 - 5*p**2 - 65 in the form f*p + u*p**2 + s and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 201875 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(80) + 2 + 1)**2 + -3 + -4*((sqrt(80) + 1)*1 - (-3 + (sqrt(80)*2)**2)).\nAnswer: 16*sqrt(5) + 1357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssssssss. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4200 - -4202. Let m(i) be the third derivative of 0 + 5\/6*i**4 - 17\/6*i**3 + 21*i**y + 0*i. Differentiate m(t) wrt t.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of d**6\/720 + d**5\/180 - 7*d**4\/48 + d**3\/2 + 659*d**2. Let b(r) = 0. What is r?\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -452316 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 + 18.91. Let r = 0.91 - u. Let h = 33 + -63\/2. Which is the nearest to 1\/2?  (a) 7  (b) r  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -455*k - 6925 = 3995 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3325 is divided by 664.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10481\/(-2115) + (-3 - (-266)\/90)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 495 = 61*k - 237 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6693 - 6700. Sort -2, 0, -1, h in descending order.\nAnswer: 0, -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 10.46 and -4.\nAnswer: 6.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 97938170 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of -3*d**8\/112 + d**4\/8 - d**2. What is the second derivative of z(c) wrt c?\nAnswer: -180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + 49. Suppose 16*b - 17*b = -i. Suppose -4*y + 2*y = -b. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 17 = -3*b + 7*b, -3*b = 2*s + 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, -34, -201, 5 in descending order.\nAnswer: 5, 0, -4, -34, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12515\/12 + -1043. Let n = -4 + 0. Let p = n + 8. What is the third biggest value in -2, l, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8152*0.176\nAnswer: 1434.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21 + (-1465)\/(-70))*2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34128 is divided by 137?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f\/(f\/(f\/(f**(-6)\/f))))\/f*f*(f*f**5)\/f)\/(f*(f\/f**(-1))\/f*f)**(-4) assuming f is positive.\nAnswer: f**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -440 divided by -2.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16964, -16675, -16376, -16061, -15724, -15359?\nAnswer: -14960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -27760 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13615?\nAnswer: 5, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -5*w. Let v(k) = 2*k**2 + 27*k + 44. Give h(v(m)).\nAnswer: -10*m**2 - 135*m - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 72133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3b + -20?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23 - -54. Suppose -2*r + 110 = -4*c, 3*r + b = 2*c + 180. Suppose 0 = 5*j - r - 68. Solve -8 + j = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -472, -3717, -12454, -29401, -57276, -98797, -156682, -233649?\nAnswer: -332416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (25 + -1)*2*4\/16. Let t be (-129)\/i - (-3)\/4. Let n be (-2)\/((-104)\/t)*44\/(-55). Sort 3, n, 32 in increasing order.\nAnswer: n, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2*k + 9 = 0, -2*n + 0*k = 5*k + 9. Suppose g - 26 = -n*g + 5*o, 5*o + 14 = g. Let b be (-2 + -1)*4\/6. Put b, g, 1 in descending order.\nAnswer: g, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6907*a**4 - 2471*a - 1.\nAnswer: -82884*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -2*g. Let c(j) be the third derivative of 7*j**5\/20 + j**3\/2 + 2*j**2. What is c(k(t))?\nAnswer: 84*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -2*x**2 + 16*x + 20. Let y be p(9). Solve c - 3*g = -0*c + 8, -y = -c - 3*g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53*2228675.\nAnswer: 118119775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 + 26. Suppose 5 = -3*q + 3*w + 14, 5*w = l*q - 15. Suppose -6*h + 544 - 52 = q. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17\/(-51)*9)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 471128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -725*z**2 - 14. Let q(g) = -362*g**2 - 8. Calculate 5*q(c) - 3*s(c).\nAnswer: 365*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -32.00000002 + 32. Round c to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(-3 + 102\/42). Find the common denominator of 133\/36 and r\/(-28)*(-39)\/12.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 - 13. Suppose -5*x + 3*x + 8 = 0. Let z = 39 - 32. Solve -4*y - j = 0, 0 = u*y - x*j - z - 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166232\/264 + (1 - (-10)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78450 divided by -2.\nAnswer: -39225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -10, -25, -42, -61, -82, -105, -130?\n\"Answer: -v**2 - 12*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 198 + -2?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.675315 to 3 dps.\nAnswer: -4.675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 5 = 5*a, 5*l = -a + 1 - 2. Let x = -19 + 14. What is the smallest value in a, x, -2, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -3*t**2 - 2*t - 1. Suppose r - 5*r = 0. Suppose 5*m + c - 15 = r, -m - 15 = -6*m - 2*c. Suppose -f + m = 5. Calculate u(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((5 - 1 - 1)*(-3*w - w + 2*w) + 231 + 13*w - 231)*(-4*w + 3*w + 3*w) in the form m*w**2 + v*w + l and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -549, -1963, -4321, -7629, -11893, -17119, -23313, -30481?\n\"Answer: -l**3 - 466*l**2 - 9*l - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**2 - 4*u**2 - 2*u**2)*(-2*u + u - u)*(-6*u**2 + 2*u**2 - u**2).\nAnswer: -20*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -6.36, 5.4.\nAnswer: -6.36, 2\/7, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 + ((-50)\/(-42) - 0))\/(1\/3). Let b = 0.3 + -0.5. Let r = 0.7 + b. What is the smallest value in -12, v, r?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.25 + -0.75. What is the closest to 0.1 in 0.1, g, 1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55722 is divided by 516?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -4*x + 3*c, -3 = -2*x + 3*c + 17. Let j = 2 - -4. Let t be (0 - -2)*15\/j. Solve -14 = x*i + 2*q - 4, 4*i + t = -q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.9 + -2.77. Let u = -0.12974 + v. Round u to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -1 + 2 + r**2 - 3 + r**2. Let a(l) = -2*l**2 + 3. Let w(i) = 2*a(i) + 3*z(i). Let s(v) = 3*v. Calculate s(w(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 o, and 2 p when four letters picked without replacement from {k: 1, d: 4, o: 1, p: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 4116972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 35094\/457 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 8431300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3456905 to the power of 1\/2, to the nearest integer?\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {s: 1, u: 6, z: 4, q: 2, o: 1, w: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*v + 42*v - 4741 + 2977 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2205 + 2159. What is the smallest value in 5, -7, i, -2\/13, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 176*z - 643. Give q(4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -323*p + 326*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/8, 2\/7, 18.3, 2\/13 in descending order.\nAnswer: 18.3, 2\/7, 2\/13, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/295  (b) 2  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(1\/2))**(-10\/3))**(1\/12)*((k\/k**0)\/k)**(7\/3)\/(k\/k**(-8)*k*(k*k*k**(1\/3)*k)\/k) assuming k is positive.\nAnswer: k**(-449\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2923 bigger than -2922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 - (14\/(-2) + 2). Let r(q) = 15*q. Let k be r(1). Find the second derivative of -f**5 - 4*f**5 - 6*f + k*f**d wrt f.\nAnswer: 200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + 59. Let o be -1 - -2*6\/4. Let d(s) = 4*s**2 + 1. What is the remainder when n is divided by d(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 315867553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -57 + 17 + k**2 + 15 + 25. Let y(h) = -32*h - 3. What is z(y(j))?\nAnswer: 1024*j**2 + 192*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + 2*9\/6. Suppose -4*y + 112 = -w*y. Calculate the lowest common multiple of y and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 588.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3173814 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 10*w**5 - 342*w**5 + 4 + (w**3 - w**3 + 2*w**3)*(2*w**2 + w**2 - 4*w**2).\nAnswer: -354*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*g - 53 + 41. Let y(x) be the first derivative of 2 + 3\/2*x**2 - g*x. Find the first derivative of y(b) wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 846\/30 + (-12)\/(-15). Let k = c + -26. Let m = -5.06 + 5. What is the smallest value in k, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 4*u**4 - 26980*u**3 + 53932*u**2 + 80916*u = 0?\nAnswer: -1, 0, 3, 6743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8060 - 2418089\/300. Calculate the common denominator of c and 11\/40.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*w - 2*w - 3*w - 5*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*-38*(-5)\/100*1085\/(-62)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 804 divided by -891?\nAnswer: -268\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-60)\/9)\/((-6)\/9). Suppose n - 5*n + y = -3*k, 3*k = -5*n + 26. Find the third derivative of 4*l**3 + 0*l**2 + 3*l**2 - 7*l**k wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h - 6*h - h + 2*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that q**2\/4 + 11*q\/4 + 5\/2 = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.10836 and -175.\nAnswer: -18.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 + 77*i + 681. Determine v(-11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*y - 13831 = 384*y + 338*y + 359 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14091 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 51 + 17 = 28 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 448451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 - 9*t**2 + 8. Let i be q(-9). Solve -5*r + i = -17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + 12\/9 + (-182)\/42. Is 25 a factor of g\/10*-30*(46 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -401028*a**2*m**2 + 136192*a**2*m wrt m.\nAnswer: -802056*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3273534 and 11022.\nAnswer: 3273534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 56386 divided by 4\nAnswer: 28193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, 6910, -4 in descending order.\nAnswer: 6910, 3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g = 1788 - 513. Suppose -59 = 6*u + g. Sort -5, -2, u.\nAnswer: u, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 824 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - l = 2. Suppose 14 = -3*q - 5*f, 3*f = 2*q - 2*f - 24. Suppose -5*z = -w - q, z + 5*w = -4*z - 10. Sort 1, z, l.\nAnswer: l, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -336 divided by -14\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t + 16. Let b = -43 + 32. Let u be g(b). Solve -u*j - c + 2 = -19, -j = 4*c - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 10*p**2 - 394. Let q(x) = 8974*x. Give j(q(k)).\nAnswer: 805326760*k**2 - 394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10795291 is divided by 2050?\nAnswer: 2041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 42*y**3 + 7*y**2 + 5*y. Let n(t) = -21*t**3 - 4*t**2 - 3*t. Let p(g) = 5*n(g) + 3*s(g). Is 22 a factor of p(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 29721*q + 59415. Calculate m(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 49802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 2671 = 3991. Calculate the remainder when t is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3211480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 435, -11, 0.1?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k**3 - 8*k**2 + 9*k - 6. Let h be t(5). Let b = h - -249. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.9 - 3. Suppose 124 = -4*a - 4*v, -4*a + 3*v = 73 + 79. Let m = a - -36. Sort u, 1\/7, m in decreasing order.\nAnswer: m, 1\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/11?  (a) -0.4  (b) -0.38  (c) 5  (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -618*v**3 + 659*v**3 - v - 11*v to j*v**2 + c*v**3 + x + g*v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1676 or 2179?\nAnswer: 2179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 7 - 1 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145*v + 35*v + 11013 = -35*v - 4252 for v.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 16932, 16912, 16892?\n\"Answer: -20*g + 16952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*q - 1241 + 77 = 797*q + 290 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -k**5\/20 - 28*k**2. Let m(j) = -79*j. Let p(n) = -4661*n. Let d(i) = -237*m(i) + 4*p(i). Calculate u(d(l)).\nAnswer: -18723*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -13*z + 1287. Let j be x(99). Factor -2\/9*v**3 + 2\/9*v**4 - 2\/9*v**2 + 2\/9*v + j.\nAnswer: 2*v*(v - 1)**2*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 40.9 - 40.9. Let w = 5.02 - 0.02. Which is the nearest to h?  (a) -0.5  (b) w  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11250 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = m - 2*y - 3, -2*m - 5*y + 6 = 0. Suppose 0 = z - 2*g - g - 1, 5*z = m*g + 5. Which is the nearest to 0?  (a) -0.5  (b) z  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 1132 = 5*d - 2*y, -849 = -3*d + 5*y. Let g(o) = 15*o**3 - o + 1. Calculate the remainder when d is divided by g(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - -24161?\nAnswer: 24161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1032 times -38?\nAnswer: 39216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 57 - 54. Suppose 92 = 4*h + 4*l, g*l - 137 = -4*h - 46. What is the remainder when 1 - (-64 - 0\/(8\/4)) is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1509 + -1507. Solve 3*v - 3*a = -a - 1, -p*v + 5*a = -3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**2 + 199*b - 3806. Determine f(-116).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2605?\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 71556200 + 1?\nAnswer: 71556201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 70*(-44)\/((-1100)\/25)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of a**6\/1080 - 13*a**5\/180 + 169*a**4\/72 - 2197*a**3\/54 - 25*a**2. Factor q(d).\nAnswer: (d - 13)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12238684645 + 298*f + 12238684645.\nAnswer: 298*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*l**2\/8 - 645*l\/8 + 639\/4 = 0. What is l?\nAnswer: 2, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -139 - -221. What is the remainder when l is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {e: 2, n: 1, i: 4, p: 4, g: 4, l: 5}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-68*n - 366*n - 390*n - 38*n - 7*n)*(-4*n + 2*n**3 + 4*n).\nAnswer: -1738*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = 5*c - 3*o, 185*c - o = 182*c - 27 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -d**3 + 521130*d**2 + 2*d - 4121414?\nAnswer: -3*d**2 + 1042260*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -6*k**3 + 3*k**2 - k. Let s(f) = -18*f**3 + 8*f**2 - 3*f. What is 3*s(i) - 8*t(i)?\nAnswer: -6*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 9*c = 0. Let z be (-3)\/(-6)*c + 5. Suppose -4*p + 67 = z*y, -y + 5*y - 70 = 5*p. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -18, -167, -568, -1347, -2630, -4543?\n\"Answer: -21*n**3 - 2*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9834 and 3576?\nAnswer: 39336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 151405, 302837, 454269, 605701?\nAnswer: 757133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.098575 hours in microseconds?\nAnswer: 354870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 153 - 102. What are the prime factors of p?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -10135*b - 3. Let z be j(-2). Let a = z + -405427\/20. Find the common denominator of a and -29\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 21 + -1 + (6 - 8). Let x(l) = -39 + p*l + 77 - 37. Let q(d) = 9*d + 11. Let b(o) = 5*o + 6. Let v(w) = -11*b(w) + 6*q(w). Give v(x(i)).\nAnswer: -18*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/(-7))\/(-3) + (-40)\/7. Calculate the common denominator of -97\/4 and 51\/(-170)*218\/d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 69*k**2 - 3*k - 5856 + 2927 + 2942 as y*k + d*k**2 + t and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*3 + (-11 - -8). Suppose 4*v - 9*b = -14*b + 31, -v - 3*b + 13 = 0. What is the remainder when x*(-3)\/(-9)*17 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of -5*v**4\/12 - v. Suppose 5*k - 495 = 100. Let a(n) = k - 3*n - 119. What is a(r(w))?\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 7 = 17. Suppose 72 = 4*p + g. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 242\/35, 3, -3.2, 0.01, 1, 6?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o + 65. Determine a(20).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 9:04 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 - 20*l - 47. Give w(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2. Suppose 5*p + 15 = 0, -4*j - 6*p + 9*p = -41. Let x(z) = -689 - 112*z + 689 - j*z. Calculate x(s(d)).\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of 23\/3*b**3 - 21\/2*b**2 + 0*b - 7. What is the second derivative of t(r) wrt r?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 245139.997 to the nearest 10.\nAnswer: 245140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 - 7*v**2 - 26 + 11 to n + x*v**2 + t*v and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*k**3 - 8*k**3 - 7*k**3 + 16*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 205976*g - 205976*g + 38*g**2.\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -96 + a1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 89705907809 less than 17?\nAnswer: -89705907792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-33)\/(-22))\/(6\/30 + -2)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**3 - 2*h**3 + 3*h**3 + (2*h**2 - 6*h**2 + 2*h**2)*(-108*h + 36*h + 42*h).\nAnswer: 59*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4549 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10 - -7) + -1 + 0. Suppose 10 = 5*a - 4*l, 5*l - 6 = -3*a - 0*l. Suppose -101*w + 47*w = 57*w + 111. Sort o, w, a, 0 in ascending order.\nAnswer: o, w, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 PM and 11:55 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 + 4*p - 9. Let m(z) = -2*z**2 + 3*z - 10. Calculate -5*i(t) + 4*m(t).\nAnswer: -3*t**2 - 8*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1053, -1052, -1051, -1050, -1049, -1048?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6032.27 rounded to the nearest 10?\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-6)*9\/(-3). Let j(q) = 2*q**2 + 2*q + 2. Calculate the remainder when 2 - (-4 + (-3 - 2)) is divided by j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*l**3 - 166*l**3 - 43*l**3.\nAnswer: -191*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3940240*v**5 + 1441268*v?\nAnswer: -78804800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**2 - 5*x + 5. Let i be o(5). Suppose 0 = -3*a + 3*a + a. Suppose c + 4*p - 3 = -0*p, -3*c - 5*p + 30 = a. Solve w + 3*t = 6, w - i = 5*t - c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6207 - 74*v + 6207)*(-v**3 + 6*v**3 + 18*v**3) + 0*v**4 - 8*v**4 + v**4 in the form a*v**2 + q + s*v**3 + n*v**4 + m*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 6*t + 35. Let q(s) = 5*s + 35. Let p(h) = -4*b(h) + 5*q(h). Let f be p(0). Calculate the greatest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*w - 15*w = 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 - 22*c + 152. Calculate v(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/11 != -1116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -696.8085 + 697. Round b to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4110524 divided by 9?\nAnswer: 4110524\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o*o*o**(1\/6)\/o))\/o*o**(2\/17))\/((o**(1\/4)*o)\/o*o**(-1)) assuming o is positive.\nAnswer: o**(143\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 5*f - 24, d + 12 = 2*f + 3. Let m = -4 + 9. Suppose y + 40 = m*y. Solve 0 = 2*a + f*a + y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -0.7. Let p = -0.7 - i. What is the nearest to 0.1 in 1, 2, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = 5*d + 10411 - 44886. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 589779904.\nAnswer: 2, 7, 467, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129003706?\nAnswer: 2, 13, 919, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1bef (base 16) to base 12\nAnswer: -417b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3038, -3036, -3034, -3032, -3030, -3028?\nAnswer: -3026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**0)**(-19\/4)*(p\/(p*((p*p*p**(2\/21)\/p*p)\/p)\/p))\/p**2*((p**(-2)\/p)**(-5\/7))**(10\/7) assuming p is positive.\nAnswer: p**(142\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p**2 + 6. Let c be r(-3). Let w be 23\/5 - c\/30. Solve -4*n + 7 = -i - w, 16 = i + 3*n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**4 - 2*n**4 + 0*n**4 + (-n**3 + 4 - 4)*(2*n - 5*n + n) - 2*n**4 + 2*n**4 + 2*n**4.\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 230 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - 6*n + 2*n)*(2 + 1 - 2) - 60*n + 3*n - 27*n.\nAnswer: -86*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14293*j**3 - 4764*j**3 - 4764*j**3 - 4763*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + -4 - 425\/(-60). Let j = -17\/12 + z. Factor 1\/3*w + 1\/3*w**2 - j.\nAnswer: (w - 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 2. Let v be 0\/(0 - f*-2). What is the second derivative of v*c**4 + c + 5*c**5 - 3*c**5 + 0*c**4 wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27489 divided by 1617\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let t(c) = c**3 + 6*c**2 - 7*c - 4. Let a be t(-7). Let p be a\/14 + 46\/14. List the prime factors of 4\/p*(-66)\/(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -763?\nAnswer: -763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 101 - 17. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -4*d**2. Let r(w) = 71*w**2. Determine i(r(z)).\nAnswer: -20164*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 24507.248 rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmm. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**3 - 11. Let p = -189 - -183. Let s(c) = 4*c**3 + 23. What is p*s(g) - 13*a(g)?\nAnswer: 2*g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 33, -1\/2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 + 22*d - 36. Let w be y(18). Suppose -17*f = -8*f + w. Let j(q) be the first derivative of -q**3\/3 - 5*q**2\/2 + q + 2. Calculate j(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 63 - 60. Suppose 0 = m*a - p - 385, 3*a + 63 - 424 = -5*p. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 - -20 - (-7 + 0 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 78  (b) -0.37  (c) -0.5  (d) -0.3  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of 2*c**3\/27 + 64*c**2\/3 + 760*c\/9 + 11199. Solve x(m) = 0 for m.\nAnswer: -190, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 449698 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 235713, 471426, 707139, 942852?\n\"Answer: 235713*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/9  (b) 13  (c) 2  (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1896 + -1930. Sort 0, 2, m.\nAnswer: m, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 930403 or 930402?\nAnswer: 930402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 21 = -2*p. Solve 0 = -3*g - 2*g - p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2\/8 - 273\/(-12) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16911402.\nAnswer: 2, 3, 307, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 105550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 4, 0 = 4*r - 7*o + 6*o - 1813. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*h - 5*h - 7*h - 12*h to q + r*h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -5\/2, -2, -2\/7, 5.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 206271801?\nAnswer: 5\/206271801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of l**4\/4 - 7*l**3\/3 - l**2\/2 + 5*l + 1. Let r be z(7). Let m be 12\/(-3) + 0 + 0. Is m >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 548, -2.706, 0.4, -0.4, 4 in increasing order.\nAnswer: -2.706, -0.4, 0.4, 4, 548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = -0*t + 3*h - 8, -2*t + 1250*h = 1248*h + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 105, 110, 97, 60, -7?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -4*m + 4. Suppose -5*p = 4 - 39. Let u be s(p). Let w = u + 40. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171386876441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - -17. Suppose -4*o + 4 = -a. Let i = 15 + 0. What is the highest common divisor of o and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6333, -24007, -53463, -94701?\nAnswer: -147721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.94  (b) -3\/5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -24*p**3 + 3*p + 3. What is n(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u - 10. Let k be h(-5). Let d be ((9\/2)\/3)\/(k\/(-10)). Solve -15 = -3*j, 0 = d*p - 8*p - j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*l - 25*l = -18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + -455d?\nAnswer: -455b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2040 (base 7) in base 15?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2530699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/5)*t**(-14\/3))\/((t\/(t*t*t**(2\/11)))\/(t**1*t)) assuming t is positive.\nAnswer: t**(-311\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2713, -5426, -8139?\n\"Answer: -2713*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 17*t**2 - 1101*t + 6878. What is u(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4958 and 10586.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*w = 28*w - 6630. Let k = 1157 + w. Calculate the highest common divisor of 59 and k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - (-7 - -1 - (0 - 58))) + (34 - 21)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 35535 and -0.058?\nAnswer: -2061.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 2 + -2 + (-896)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of 5*u**6\/3 + u**2 + 5*u - 33. What is the second derivative of o(l) wrt l?\nAnswer: 200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1731.783 - -0.217. Which is the nearest to 0.1?  (a) -1  (b) d  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5309 less than -5309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/((p\/(((p*p\/p**(3\/2)*p)\/p*p)\/p))\/p*p))**(-13\/2))**(-19) assuming p is positive.\nAnswer: p**(247\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2\/3 and -22\/460283?\nAnswer: 1380849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14 - -20. Suppose 0 = 4*s - n*s - 70. What is s rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-7)*28\/6. Suppose -4*f + 12 = 0, -2*l + 3*l - z*f - 24 = 0. What is the highest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 71 + -46. Suppose -2*f = -2*b + 4, -5*b = 5*f - 3*b - h. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*c = 2*m + 43*c - 9, 2*m - 11 = 5*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*f = 8*f - 713068000. What is f rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s + 1. Let r be m(-2). Suppose r*b + 8 = 2*p, b = 5*p + 2*b - 20. Let f(n) = 14*n + n**3 - 8*n - 3 - 2*n**3 + 3*n**2. Calculate f(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.9 + 5. Suppose 3*i - a = -6*a + 230, 5*a = 20. Suppose -2*p + 5*k = -5*p + i, -5*p + 80 = k. Which is smaller: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*(s*s\/(s*(s*s**19)\/s))\/s*s*s)\/s)**(-8\/7)\/(s\/(s\/(s\/s**45))*s*s)**31 assuming s is positive.\nAnswer: s**(9242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1225 and 190169.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1342 and -5.\nAnswer: 6710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 7*n + 13 = 2*n, -5*j + 5*n + 25 = 0. Suppose -2*w = 2*c + 9650, -j*c - 6 = 4. Round w to the nearest one hundred.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6996.782l?\nAnswer: 6996782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 4. Suppose 2 = -2*k + 5*g + d, -3*g = 3. Put -3, 4, k in ascending order.\nAnswer: -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 54 + -53.9999953. Round p to seven dps.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26686 + -26661. Solve -22*o - 3*a = -y*o, 4*a + 8 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -334994127*a*k**2 - 17*a*k*u - 6*a*k + 3*a*u**2 - 2*k**2*u**3 - 3*k + 3*u**3 + 2*u - 178 wrt k?\nAnswer: -669988254*a - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of (-528)\/9*-1*(-15)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 5*h + 22. Let g be x(-2). Suppose g = -3*o, 0 = -3*s - 2*s - 4*o + 29. Calculate the greatest common divisor of 5 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(17) + (2 + sqrt(153))**2 + -4 + (-1 + 2*sqrt(17))**2 + -4.\nAnswer: 9*sqrt(17) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-423)\/15)\/(2*2\/(-20)). Suppose -3*k - 26 = -2*j - l, 2*k = 2*j + 76. Does 29 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -6. What is the units digit of 0 - k - 3\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*y - 21*y - 550 - 530 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -325051\/115568 - -1\/7223. What is the common denominator of -7*9\/(-30) + 0 and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - 248 - -132) + 0 + 34?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - (-54 - (55 + -147))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 12:43 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.49 + 0.19. Let l = s + 0. Which is the smallest value?  (a) 5  (b) l  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s + 37. Calculate the remainder when 87 is divided by a(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e and 1 c when four letters picked without replacement from ceccceccccce.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164006 is divided by 40976?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10\/29?  (a) 0.3  (b) -779\/3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 2*v + 17 = 0, -4*i + 10 - 34 = 3*v. Which is the fourth biggest value?  (a) 4  (b) -0.2  (c) i  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -301, -595, -879, -1153, -1417?\n\"Answer: 5*u**2 - 309*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50735*3790.\nAnswer: -192285650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, f: 8}. Give prob of picking 3 j.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -25*a. Let b(d) be the third derivative of d**4\/3 + 26*d**2. Give 10*b(f) + 3*v(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 71a + 1?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/11)\/v**(-15))**(4\/29)*v**7*v**(-5)*v**4*v*(v*v\/(v*v*(v*v**(-2\/5)\/v*v)\/v)*v)\/v assuming v is positive.\nAnswer: v**(15123\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/6 at most -9944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (42\/(-119))\/3 + 242\/34?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143) - (sqrt(143) + sqrt(143)*-3)*-4 - (sqrt(143)*-1 - sqrt(143))*-4)\/(6*((-1*(sqrt(176) - sqrt(176)*2) - sqrt(176)) + sqrt(176) + sqrt(176))).\nAnswer: -5*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 11\/3845491 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 21.17136.\nAnswer: 42.34272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 2*k - 5 = 0, -2*u - 2*u + 0*u - k + 20 = -8*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 482 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 40 = 4*o + 20, -60 = -4*c + 5*o. Suppose -4*p + 3*w + 36 = w, p - c = 2*w. Let b = p - -2. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + (2*4)\/(-2). Let v = -4 - -3. Let y be v + ((-6)\/(-3) - -3). Put 1, g, y in descending order.\nAnswer: y, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -200844868, -401689739, -602534610?\n\"Answer: -200844871*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/13)*l**(-19)\/l assuming l is positive.\nAnswer: l**(-258\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -11. Suppose o*a + 5*v + 108 = 5*a, 3*a + 3*v - 84 = 0. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 5*n + 305 = 0, -4*n - n = -4*v + 295. What is the greatest common factor of v and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -180*i + 4668. Let j be g(0). Calculate the greatest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1.110874mg?\nAnswer: 0.000001110874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 4*i = -36, 13*f - i = -1897 + 1790 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -159*t - 1974. Is d(-16) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.8933 + 126.1833. Let v = 125 - q. What is v rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 591873000 divided by 1000.\nAnswer: 591873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of 31\/60*s**6 + 0*s**4 + 100*s**2 + 0 + 0*s + 0*s**3 + 67\/30*s**5. Find the third derivative of u(z) wrt z.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 431818\/(-3)*(-4 - -7). Let w be -2 + 11*l + 11 + -11. What is w rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2717 + -2702. Solve 3*d + 0 = -p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from koksiskmis. What is prob of sequence mosk?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/26 - -5\/26. Let o be 1\/(-4) - 11\/(-12). Which is the third biggest value?  (a) -2  (b) q  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1253, -11, 3, 1 in decreasing order.\nAnswer: 3, 1, -6, -11, -1253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0 - 1 + 2713091*i**2 - i.\nAnswer: 2713091*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1548 divided by 1548.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -59323*i - 93. Suppose -3*u + 13 = 1, f - 5*u + 11 = 0. Let b be g(f). Round b to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 12:00 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 465 + -456. Suppose -h*y + 14*y = 195. Calculate the remainder when 103 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -1543*g**4 + 8866076*g**3 - 12727238848*g**2 - 25506474096*g - 33039504 = 0.\nAnswer: -2, -2\/1543, 2874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -7. Let p be (-2)\/3*(-1 - j). Solve -p*o = -4*m, -o + 2*o = m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1006\/(-720) - (-12)\/40 and -95\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*c + 2711*c**3 - 5*c - 34*c + 3*c.\nAnswer: 2711*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 11:00 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 773241?\nAnswer: 3, 7, 36821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 6*a - 2*a + 1 + a**2 - 6*a = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 divided by -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - (58083\/(-18) - 2). Let k = -3239 + j. Find the common denominator of k and 7\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t + 3. Let b = 0 + 8. Let v(k) = -k**2 + 8*k + 1. Let c be v(b). Let x be (3 + -2 + -1)\/c. What is m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - -26. Is (-48367)\/(-165) + (-4)\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -2\/9  (c) 2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-4\/33)\/x**(-3\/19)*(x*(x\/(((x*x*x**22*x)\/x)\/x))\/x)\/x**(-12) assuming x is positive.\nAnswer: x**(-6247\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1 + 0. Let r = -15.5 - -16. Let p = -1 - 2. What is the biggest value in r, l, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1824)\/798 + ((-18750)\/(-1659))\/5?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1241*h**3 - 222*h**3 - 380*h**3.\nAnswer: -1843*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n**2 - 116*n - 111*n + 230*n - 409.\nAnswer: -2*n**2 + 3*n - 409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 30, 63, 104, 153, 210, 275?\n\"Answer: 4*n**2 + 21*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -54, 6, 17?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/3*-5*(-2)\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/4)\/((-2)\/12). Let c(r) = -r**2 + 5*r + 2. Let p be c(3). Solve -5*z - 3*y = 2*y + 40, 0 = -z + w*y + p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 4686 = -6*n. Suppose 0 = -2*d - 4*d + n. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 217916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*a = -24*a - 750. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(3\/5)*(m*m**(-47)*m)\/m)**(-7\/10))**(5\/4) assuming m is positive.\nAnswer: m**(777\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4235, 33914, 114487, 271400, 530099?\nAnswer: 916030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 4*l - 5. Let p be w(5). Suppose -4*j + 160 = -p*j. Let v be (j\/(-3 + 7))\/2. Solve -i - u + v = -0*i, -i - 4*u + 11 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1674738?\nAnswer: 2, 3, 13, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 407523 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**16)**(-1\/2) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 5*x + 112 = -s, -4*s + 4*x = 508. Let j = -92 - s. Calculate the highest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14557, -56605, -123781, -213709, -324013, -452317, -596245?\nAnswer: -753421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 4*p + 16, 4*b - p + 2 = p. Let o(k) = -4*k**3 - k**2 - 7*k - 5. Let a(j) = -j**3 - j**2 - 2*j - 1. Let u(t) = 3*a(t) - o(t). Calculate u(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -216*d**6 - 163*d**2?\nAnswer: -25920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9775 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-39)\/102 - (-3)\/6. Which is the third smallest value?  (a) -1\/2  (b) 0  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6738 divided by 24172.\nAnswer: -3369\/12086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, b: 3, e: 5, s: 5}. Give prob of sequence esbb.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 55 - 3*p**3 + 2*p**2 - 4 + 104 - 2 to the form f*p + n*p**3 + s*p**2 + m and give m.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 2 = 5*o + v, -o = 2*v. Suppose o*j = -3*j. Solve 4*m - 10 - 6 = j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 3.5, 1.7, -1?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 - 116*i - 1237. Give l(-12).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 10, j: 2}. What is prob of picking 1 b and 1 j?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*x = 86*x + 1343287. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n**22*n*n*n)\/n*n)\/n)\/(n*n\/(n\/(n\/n**(-2)))) assuming n is positive.\nAnswer: n**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.000940683 + 0.02.\nAnswer: 0.020940683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 22\/1656821 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32*z + 7*z - 15*z)*(-2*z**2 - z**2 - 5*z**2)*(4 - z - 4)*(2 - 2 + 1).\nAnswer: -320*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -15 - -31168673\nAnswer: 31168658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -86 - -86. Suppose 5*z - 3*w - 1545 - 424 = x, 0 = 3*w + 9. Let y = z - 133. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19*5*((-190)\/(-19))\/(-50)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 983*p + 9. Is y(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, d: 1, y: 3, m: 5, g: 4}. What is prob of picking 1 m, 1 y, and 1 c?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87 = 2*m - 439. Let u = -86 + m. Suppose -2*d - u = -5*d. Calculate the greatest common factor of d and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9610 by 5.\nAnswer: 1922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/4)\/((-5)\/25)*(-1244)\/(-15550)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -185 - -184.894. Let r = v + 0.206. Which is the closest to r?  (a) 8  (b) -3  (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, 93, 0, 13, 1 in decreasing order.\nAnswer: 93, 13, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 2 + 8)*(8*v**3 + v**3 + v**3) to a*v**3 + u + m*v**2 + i*v and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0*(-3)\/9 - 2. Let t be 3\/((3\/b)\/1). Let j = 12 + t. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2007183642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 2*u**2 + 1)*(-561*u + 275*u + 266*u - 5) as f*u**2 + q*u**3 + o*u + w and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 1. Let q = -152 - -153. Let w(z) = 2*z**2 + 5*z - 2. Suppose j - 3 = -1. Let c(r) = j*k(r) + q*w(r). Find the second derivative of c(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.6 + 1.9. Let l = -392 + 384. Let r be l\/(-20) + -4 - -4. Is r at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s*s**(3\/34)*s)*s**10 assuming s is positive.\nAnswer: s**(303\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 6*f = 4. Let l = -578008 + 578010. Put 0, f, l in decreasing order.\nAnswer: l, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {u: 1, p: 1, e: 3, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 3*r - 13 = -6*o, 0 = -4*o - 2*r + 14. Let z be (-1209)\/(-52) - 1\/o. Solve -2*v + 0 = 3*h - z, h = v + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002578 to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5409560 rounded to the nearest 10000?\nAnswer: 5410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 7283.3158 and 0.3?\nAnswer: 7283.0158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = -3*f + 3, 0 = -4*f + 3*h + 15 - 46 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -7.5736626 * 4\nAnswer: -30.2946504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 41c (base 14) to base 16\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/256 and (-2)\/(-1024)*(-444 - -415).\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 - 4*n - 1. Let h be a(7). Let p = -2041 + 2038. What is the tens digit of (h\/8)\/(p\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 58*g**2 + 4*g + 6. Does 18 divide a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/630 and 133\/12.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 + d + 3000. Let r be b(0). Suppose -4*h - 5*y - 29 = 2, -3*y - 33 = 4*h. Let i be (r\/h)\/((-4)\/30). Round i to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f**3 + 3762 - 11278 + 3765 + 3751.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -3*w**3 - 67*w**2 - 58*w + 109. Let d(k) = k**3 + 22*k**2 + 19*k - 36. Let b(n) = -8*d(n) - 3*v(n). Let t be b(-24). Solve t = 6*p - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17490 and 70290.\nAnswer: 3725370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35079015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 + 4*c + 7. Let x be o(5). Suppose x*m + 2*v = -v - 1, -4*m = 5*v + 1. Solve 5 = -h + m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + -5. Suppose c*n - n = 155. Let q = 45 - n. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3114936 a multiple of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6212318 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {q: 1, y: 1, z: 1, a: 1, e: 2, f: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 - 2*r + 0)*(1 + 3 - 3) + (-4 + 2 + 7)*(5*r - 5*r + 13*r))*(3 + 1 - 6)*(r + r - r) as x + d*r + n*r**2 and give n.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - -4 - (44 - 11)\/11. Suppose -4 = -2*u + 4, 0 = -4*z + 3*u + 40. Solve -s - y - 2*y = m, -5*s + 3*y = -z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -37  (b) 0.123  (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 5, s: 3, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.106 + -12.\nAnswer: -10.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4380 divided by -6?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 34*l**2 - 19*l + 67. Is p(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39 + 5*s**2 - 4*s**3 - 33 + 2*s - 3*s**2 to the form a*s**2 + d*s + l + f*s**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 749*a**2 + 14358*a + 212*a**2 - 14358*a to the form v*a + t*a**2 + s and give t.\nAnswer: 961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 - -73. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*p**5 + 11562*p**4 - 3*p**2 - 22*p - 6.\nAnswer: 120*p**2 + 277488*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/(-140)*1*-5*(3458\/(-380))\/13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*a - 3*a**3 - 2 + 4*a - 2*a**3 in the form o*a + m + c*a**2 + r*a**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -630*u**3 + 11*u**2 + 329*u - 111730742.\nAnswer: -1890*u**2 + 22*u + 329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 159902393, 159902391, 159902387, 159902381, 159902373, 159902363, 159902351?\n\"Answer: -i**2 + i + 159902393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + m + 14 = -0, 0 = 2*k - 4*m - 26. Let u = k + 6. Calculate the greatest common factor of u and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -7. Suppose h*a - 4528 = -5*k, 4*a - 909 = -k - 0*a. Suppose 4*i = -i + k. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10812 and 98474.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*f = -119 + 92 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 67563 and 11448?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4*(-2)\/(-8))\/(1\/(-5)). Suppose 0 = a*z - 30 - 0. Let q be 5 - 3 - (-4)\/4. Solve 0 = q*f - 0*f - z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16 - -21. Suppose 0 = 5*z - 0*i - 4*i - 184, p*i = -4*z + 180. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 29761 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**2)**(2\/15)*(u\/(u*u**(-2\/3))*u)**(1\/3) assuming u is positive.\nAnswer: u**(37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 7*x + 5. Let t be 82\/26 + (-40)\/260. Calculate p(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k - 0*k + 60. Solve -t - 9 = 2*l, k = -2*t + 4*t - 2*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e + 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2558 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53162 is divided by 2123.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*i = -16*i + 56*i - 64288. Calculate the remainder when i is divided by 55.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 102 and 58106?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from ximyemjjx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**8\/a)\/(a\/a**(-11)) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -52, -84, -120, -166, -228, -312?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*m + 95 + 89. Let j(l) = 2*l**2 + 13*l - 3. Is 26 a factor of j(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -116790366 divided by 13398.\nAnswer: -8717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/sqrt(4)*2 - (3 + -1 + sqrt(5))) + ((sqrt(4860) + sqrt(4860)*-1)\/sqrt(12))**2.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 45 - 40. Suppose -4*a = -u - 5, 0 = -4*a - 3 + 11. What is the remainder when d is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -16*j**3\/7 - 45306*j**2\/7 - 1062414*j\/7 - 2779920\/7 = 0.\nAnswer: -2808, -165\/8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -486969 + 301920679\/620. What is the common denominator of d and -32\/1085?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14616 + -14616. Let v = -17.27 - -17. Let w = 0.03 - v. What is the closest to u in 1\/5, 2, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1692172 is divided by 17445.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 - c + 1. Let t be q(6). Suppose -15*f = 10*f - 1850. Let s = f + t. Solve -2*u + 4*y = -y, 4*y = -5*u - s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 25*q - 44. What is j(29)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.11 + 0.31. Let x = 15\/2 - 7. Let i = -32 - -34. Which is the nearest to x?  (a) i  (b) o  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 253, 555, 901, 1285, 1701?\n\"Answer: -s**3 + 28*s**2 + 225*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -9*u - 2. Let b(x) = 11*x + 2. Determine 4*b(t) + 5*n(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + g = 4, -5*f + 32 = -4*g + 9. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.07 - -0.07. Suppose 7*v + 9 = 10*v. Which is the nearest to p?  (a) v  (b) -0.5  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5.8 - -0.4. Let d = b + 5. What is the third smallest value in 3\/7, -2, d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 + 57. Let u = r - 38. Let z = -11 - -8. Is z >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**3 - 2640*q**2 + 34852*q - 96912.\nAnswer: -4*(q - 9)*(q - 4)*(q + 673)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000995733 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 182 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4742 = 184*f - 481 - 3212 + 891 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/20*(-70)\/63.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 766220.\nAnswer: 2, 5, 7, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.51 + -2.234. Round v to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/3 + 0 + -1. Let u = 19 - 21. Let l be 6\/(-14) + 0\/u. Which is the closest to n?  (a) l  (b) -0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*w + 67 - 95*w + 26*w + 40*w - 125 + 67.\nAnswer: 7*w + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 + -1081bd9?\nAnswer: -1081bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together 34494392822 and 42.1.\nAnswer: 34494392864.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -18*b**3\/5 + 2544*b**2\/5 - 92378*b\/5 + 174724\/5 = 0.\nAnswer: 2, 209\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4543 and 3353.\nAnswer: 2176097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 254976 divided by -1024.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + n + 103 = p, p - 95 = 5*n. Differentiate -p*j**2 + 4 + 5 + 109*j**2 wrt j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54\/36)\/((-45)\/18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*d - 3*d - 2*d)*(61 - 152 + 171) to q + u*d and give u.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16511*z**2 + 7742*z wrt z.\nAnswer: -33022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 + -12 - 3) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-2*-4*(-2)\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gdldgtqngdt. Give prob of picking 2 t and 1 n.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - -7)\/(6 + (-3 - 1)). Suppose 0*c + 3 = l*c. What is the highest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y\/y**2)\/(y\/(y*y*y**6)))**(1\/23) assuming y is positive.\nAnswer: y**(7\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-6) + 184\/6. Suppose -9*z + 4*z = -w. Let q(i) = 9*i**2 + i + 1. Calculate the smallest common multiple of q(-1) and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-32))\/(((-1534)\/(-4784))\/59).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-1 + sqrt(112))*-2)**2*-1 - (2 + (sqrt(77)\/(sqrt(11)*3 - sqrt(11)) - (4 + 2*sqrt(7))**2)).\nAnswer: -353*sqrt(7)\/2 + 2754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2120 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.66 + -288.34. Let h = -142 - g. Let z = h - 146.99999921. What is z rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -101.07951\nAnswer: -50.539755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 65850, 132751, 199652?\n\"Answer: 66901*m - 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (47\/(-329))\/(0 + -1 + 2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 26 * 4.5708\nAnswer: 118.8408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 13*(1720\/40)\/43\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 732, 2944, 6636, 11814, 18484, 26652, 36324?\nAnswer: 47506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(14 + -1 - 11). What is the nearest to w in -7, -8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 - (67 + -13) - 25.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -868 by 7.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 + 19*u**2 + 18*u + 3. Let s be i(-18). Suppose -423 = -5*r + 3*n, s*r + 0*r - 3*n - 255 = 0. Is 42 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-2)\/(-15))\/(-1*4\/(-740)) and -61\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i - 11. Give q(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -12441 divided by 377\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3731622 (base 8) to base 15.\nAnswer: -154d5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15258805\/1414 - -75612\/7. Let k = l + 2\/101. Calculate the common denominator of (-145)\/(-125)*10\/(-4) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/(-28) + 50\/126. Suppose -11 = 3*o + 1. Sort h, 5, o.\nAnswer: o, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1949909 - -1236909. Round u to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 488 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*p**2 + 40\/3*p - 2\/15*p**4 + 0 + 14\/5*p**3.\nAnswer: -2*p*(p - 10)**2*(p - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 60 + -21. Calculate the remainder when 1\/8*-766*(18 + -11 + -11) is divided by i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*x**4 - 9*x**5 - 9*x**2 - 2*x**4 + 11*x**2 wrt x.\nAnswer: -540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*k - z + 9 = -14*k, 0 = k + 4*z - 24. Solve 18 = 2*q + k*f, 9*q - 6*q - f + 15 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -102121 + 2032010?\nAnswer: 1323223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -9*l + 14*l. Let y(o) = o**3 + 3*o - l + 11 - 11 + 6*o**2. Suppose -2*f = 2*f + 20. Determine y(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1110266 (base 7) to base 8\nAnswer: -413453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11*(2\/(-3))\/(4\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhqqzuzwrqzhrh. Give prob of sequence uwqr.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 - 7*q + 3. Let v be w(-7). Suppose 0 = 3*i - r - 6 - 13, -2*i + 3*r + 15 = 0. Let z(o) = o - 2. Let j be z(i). Solve 0 = j*c - v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 207 = -2686*o + 2695*o. Let l(c) be the second derivative of 1\/3*c**4 + 98*c**2 + 28\/3*c**3 + o*c + 0. Find t such that l(t) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -932, -933, -934, -935, -936, -937?\n\"Answer: -n - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - (-32)\/10)\/((-2)\/(-25)). Solve -i + 0 = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 63*1 - (-12)\/3. Let b = k + -341\/5. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54460 (base 16) in base 4?\nAnswer: 1110101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -p*s - 6*p + 1157*s**4 + 134 wrt s.\nAnswer: -p + 4628*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-4*-1*sqrt(132)*3)\/(-6*(sqrt(1200) + 4*sqrt(1200))))**2.\nAnswer: 44\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 385 = 361*c + 1401 + 2594 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 130\/(-39)*3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 20015 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -87 + 547?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 9*b**2 + 6. Suppose -10 = -i - 1. Suppose 2*a = -s + 14, -3*s + 45 = 5*a - 0*a. Calculate the lowest common multiple of s and h(i).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of s**6\/2 + 3*s**5\/5 - 3*s**4\/2 + 5. Factor a(q).\nAnswer: 3*q**3*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 9 = -3*u, -5524*u + 13 = 3*m - 5520*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of 3*o**3\/4 - 2253*o**2\/2 + 564001*o - 10447. Factor g(y).\nAnswer: (3*y - 1502)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4304*j + 870*j - 14746 - 5950 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/13)\/((266\/(-114))\/((-338)\/78))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 90 and 11925.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (648\/(-9))\/((-2)\/(-6)). Let l be (-1 - 328\/m)\/(2\/6). Factor -l*i**2 - 2\/9*i**5 - 10\/9*i**4 - 4\/9*i - 2*i**3 + 0.\nAnswer: -2*i*(i + 1)**3*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31\/((-1674)\/(-252)) - 22\/4.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 10:34 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of z**4\/2 - z**3\/2 - 29*z**2 - 1. Calculate t(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 4038?\nAnswer: 403c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 121398486 divided by 14041?\nAnswer: 8646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -93 + 96. Let d = 0.2 + 0.3. Let z be -6*(-1 + 0) + -7. What is the closest to z in 5, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/6  (b) -3  (c) 38811\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a**4\/7 - 31*a**3\/7 + 33*a**2\/7 + 31*a\/7 - 36\/7 = 0.\nAnswer: -1, 1, 4\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from oooogoggooogoggodoo.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.124 + -3.094. Let c = n + -0.03. Let u = -6 - c. Put 4, u, -4 in ascending order.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n**3 - 53*n**2 + 34*n - 907. Is m(-48) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -61 + 69. Suppose w*j = -51 + 107. Which is smaller: 12 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.00417 in 171, 0.3, 3, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 4*s**2 + s**3 + 0 + 0 - s**2 + 3. Let b be u(-3). What is the second derivative of p**4 + 2*p + 2*p**5 + 2*p**4 - b*p**4 wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - 15. Let f be 21\/4 + 2\/p. Suppose -13*o + 65 = -8*o. Solve -3 + o = f*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -27\/35 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 3*m - 179, 2*j + 3*j + 2*m - 176 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 50 - 29. Let t be 54*(-3 + 33\/9). Let f = t - a. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -46, -64, -80, -94?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -1635, -0.5, 10\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343)*2*-1)**2 + -1 + sqrt(343)*5.\nAnswer: 35*sqrt(7) + 1371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11823505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 3*m - 13 - 22, 3*j + 20 = m. Suppose 9*f - m*f - 20 = -2*h, -f + 3*h = 9. Solve -2*i + 1 = -f*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128211 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -8*g**2 + 4. Let u(v) be the third derivative of v**5\/60 + 2*v**2. Let i(t) = b(t) + 6*u(t). Determine i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 6 = -3*h - 2, 0 = -o + h + 5. Let v be 3\/21 - 99\/o. Calculate the least common multiple of (-7)\/v + (-78)\/(-4) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 320305483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from nlcxiul.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 791298 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0*((-2)\/(-5))\/(144\/(-180)). Solve -n + s*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 + r**2 - r. Let p be l(0). Let g(i) be the third derivative of 0 - 1\/300*i**5 + p*i + 0*i**3 + 0*i**4 + i**2 - 1\/600*i**6. Factor g(v).\nAnswer: -v**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 59991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 228 and 399096?\nAnswer: 7582824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(891) + (-5 + 2*sqrt(891))**2 + 6*(sqrt(891) - (sqrt(891)*1 + -5)**2))*4.\nAnswer: -7648 + 1692*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -4*k + 12 - k**2 + 2*k**2 + 2*k**2. Let m(d) = 3*d + 17. Let y be m(-4). What is the remainder when t(y) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19240, -38422, -57606, -76792, -95980, -115170?\nAnswer: -134362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**2 + s + 4. Suppose 0 = -4*i + 7*i + 15. Let m be a(i). Suppose -f = -2*b + 12, m = 4*b - 0*f - 5*f. Solve 2*n - 2 = 3*n - 2*g, -2*g = -b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 23*t + 2155. Calculate the remainder when q(-46) is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1097681587.\nAnswer: 4007, 273941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.4+4261\nAnswer: 4261.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1045 + -1025. Let m be -4 - 0 - 0\/(-1). Let w be 4*((-75)\/r - m). Calculate the greatest common divisor of 3 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/7)\/(2025\/(-1575)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 128 = 244. Suppose -2285 = 88*o - b*o. Suppose 327 = 8*k - o. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of 11*p + p**3 + 11*p**2 + 1\/10*p**5 + 5\/8*p**4 + 0. Let k(n) be the first derivative of o(n). Factor k(z).\nAnswer: 3*(z + 2)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 2*o + 40 = 0, -40*i - 5*o - 5 = -45*i. Let s = 19 - 11. Solve -i*q = -s*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 60 + -39. Find the third derivative of -13*d**4 - 3*d**2 + 4*d**2 + g*d**2 wrt d.\nAnswer: -312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t*t**3)*t**(-14)*(t**6)**(6\/29) assuming t is positive.\nAnswer: t**(-457\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 + 1. Let f(i) = -3*i**2 - 10*i + 1. Let b = 65 + -64. Let d(v) = b*f(v) + 2*c(v). Calculate d(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70232 - -111 - 5\/((-5)\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/6)\/(1\/(-6)). Does 3 divide (0 - (-2 + 6))*(-155)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/3286 and 43\/29574?\nAnswer: 29574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -3\/4*s**4 + 2*s**2 - 3 + 20\/3*s**3 + 49\/6*s**6 + 0*s - 14*s**5. Find l, given that a(l) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - 19*y**2 + 4. Let p be i(-4). Let t = p - -487. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7 and 127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + 1ef23d6?\nAnswer: 1ef23d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-6)*d**(-13)\/d*d*d*d\/(d\/d**(-4\/7))*d**4\/d*d assuming d is positive.\nAnswer: d**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = -12*o - 2503 + 2427, -5*o = 5*h + 40 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 105 and 4795.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3017 and 742?\nAnswer: 319802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dxx. Give prob of picking 1 d and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 8, a: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k = -0*k. Suppose -64 = -2*i - 2*f, k*i = -3*i + f + 100. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 140 + -132. Which is smaller: k or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.06 and 1.373.\nAnswer: 0.08238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 5, 4, -30?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -45 - 21. Let l = k - -57.4. What is l rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 4*g = 275. Let m be 3\/(-5) + g\/(-50). Which is the biggest value?  (a) m  (b) 0  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 586, -1, 321, 6 in ascending order.\nAnswer: -1, 4, 6, 321, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {b: 3, n: 11, h: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-53)\/(-4)*640\/(-1440) + 6. Factor -m*f**2 - 1\/9*f**3 + 1\/9*f + 1\/9.\nAnswer: -(f - 1)*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -41 - (-44 - 33) - -11?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 37, 156, 431, 940, 1761, 2972, 4651, 6876?\n\"Answer: 13*c**3 + 28*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {h: 4, f: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b**3 + 4*b**2 + 3*b. Let f(h) = 2*h**3 - 3*h**2 - 3*h - 1. Suppose -21*a = -13*a - 32. Give a*f(n) + 3*d(n).\nAnswer: 2*n**3 - 3*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-18))\/((-6)\/(-72))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/((-1)\/47) - 1. Let s be 2\/5 - v\/(-20). What is the remainder when 66 is divided by s\/((-6)\/45) + 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*-2 + (-1740252)\/234 + -6. Let z = m - -22342\/3. Find the common denominator of 2\/15 and z.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.648 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -5*n**2. Let m be 3 - (4 - 3 - 3). Suppose m*r = -2*q + 138, 207 = 3*q - r - 0*r. Let s(v) = -q + 69 + 2*v**2 - v**2. Calculate i(s(o)).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 761 - 918. Are 4 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2*(-2)\/8)\/(7\/(-28))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -4\/9, -1\/3, -0.32314, -2\/9, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 4*f + 3*x + 28, 5*f - 4*x = -9. Let j be (-10)\/(-2) - (-3 - f). Let c(z) = z**2 + 4*z - 6. Let v be c(-5). Sort j, v, -5 in descending order.\nAnswer: j, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/12 - ((-2107)\/42)\/(-43).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (242\/(-55))\/(4\/(-10)). Suppose 127 = s*w - 10*w. List the prime factors of w.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0168 + 0.014796. Round k to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -170 + 165. Which is the third biggest value?  (a) j  (b) -3\/2  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -355\/96 less than or equal to 110\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 1101*k - 5525. Determine i(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c**2 + 6*c**2 + 4*c**3 - 2*c**3 + 2*c**2 - c**4 - 2*c = 0 for c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 7*t**2 + 13*t - 32. Is f(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/11 + ((-11207)\/77 - -98).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -28 + 7*t**3 - 26 - t**2 + 5*t + 59 - 4*t**3 + t**3 + 5*t**3 - 3*t**3 - 2*t**3 + 3*t**3 + (t - t - t**2)*(1 + 2*t - 1).\nAnswer: 5*t**3 - t**2 + 5*t + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 - 18*b - 12. Let j(v) = -3*v**2 + 53*v + 35. Let f(u) = 6*j(u) + 17*o(u). Let x be f(12). Let i(g) = g**2 - 7*g - 3. Give i(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-3)\/12*1084\/(-813).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 72 = -w + 4*i, w = -5*i + 45. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 2*m + 105739, -2*b - 4*m = -0*b - 42286. Let g = b - 380785\/18. Find the common denominator of g and 77\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38*l**2 + 73*l**2 - 5*l - 41*l**2)*(l**3 - l**3 + l**3) + 0*l**5 + 0*l**5 - 5*l**5 + (-2*l**2 - 2*l**2 + 5*l**2)*(-l**3 + 4*l**3 - 4*l**3).\nAnswer: -12*l**5 - 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/5  (b) -27  (c) 5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5810 - -5808.9164. Round b to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 + 5*o**2 - 2*o - 3. Let y be (-8)\/(-5)*(-10)\/(-4). Let z be g(y). Suppose a - 2 = -a. Sort z, -3, a.\nAnswer: -3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.05 - 0.05. Let d = -22 + 156\/7. Let z = 4.3 - 4. What is the nearest to d in z, 0.2, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -37*a**2*b**3*t**2 + 2*a**2*b**3 - 25*a**2*b*t + 2*a*b**3*t + 2*b**3 wrt t.\nAnswer: -74*a**2*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 - 7*v**2 - 21 + 16*v**2 + 61 - 17.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 + 5*g**2 - 3*g. What are the prime factors of i(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/52 and -24\/91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 397886959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19 + 19. Suppose 2*x + x - 51 = n. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, 10\/21, 0.5, -5 in descending order.\nAnswer: 0.5, 10\/21, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*n + 11 = g - 113*n, 0 = 3*g + 2*n - 12. Sort -1, 180, g in ascending order.\nAnswer: -1, g, 180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -5*h**4 - 24625*h**3 + 2306485*h**2 - 6697695*h = 0.\nAnswer: -5017, 0, 3, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 8628*5\nAnswer: 43140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4823*u**4 + 280*u**2 + 29*u + 37836217.\nAnswer: 19292*u**3 + 560*u + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-2 + 2 - -1). Suppose -g - 2034 + 2035 = 0. Is l equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 AM and 11:15 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.8 and -0.0073.\nAnswer: 0.7927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 11:12 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.04 + 2.04. Let l = -22\/29 + -78\/203. Is r != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3848800 minus -6.185132?\nAnswer: -3848793.814868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 204430, 408849, 613268, 817693, 1022130?\n\"Answer: u**3 - 6*u**2 + 204430*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1600272017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11010100 + -10011000?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -287578, -575128, -862636, -1150096, -1437502, -1724848?\n\"Answer: h**3 + 15*h**2 - 287602*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/(-1*(-3)\/(-3)). Let z(t) = -t**2 + 6*t + 4. Let x be z(y). Let f = 1 + x. Calculate the greatest common factor of f and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13399\/4 - 3367. What is the common denominator of -139\/18 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33, 51, 95, 177, 309, 503, 771, 1125?\nAnswer: 1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 33 = -16*j, 5*j = 703*k - 699*k - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbdb when four letters picked without replacement from {j: 2, b: 4, s: 3, d: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -97 - -358. Let u = -266 + r. Which is the closest to 0?  (a) -4\/5  (b) u  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 3*g = -5*s - 28, -g - 18 = 5*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -202*i + 7085. Let n(f) = 323*f - 10627. What is -8*a(b) - 5*n(b)?\nAnswer: b - 3545","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152730738 is divided by 205.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 829387?\nAnswer: 13, 63799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(((-21)\/126)\/((-5)\/(-20)))*-11.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, m: 3}. Give prob of picking 3 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {r: 6, g: 1, o: 4}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0117706076 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 0.6. Let k be (6\/(-4))\/(-3 + -3). Let n = -2.5 + 0.5. Which is the closest to k?  (a) 0.5  (b) n  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 4*h + 18. Let p = h - -32. What is the greatest common factor of 98 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.56 - -0.22. Let w = l - 0.06. Let m = 0.05 - -2.95. Sort m, 1\/3, w in descending order.\nAnswer: m, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w + 9. Let c be s(-7). Let h be (-2)\/c*(-2)\/(-8). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -2\/5, -4, 3, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-11) - (567612\/(-11))\/(-6). Round q to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of q**3*v**4 + 3*q**3*v**3 - 18*q**3*v - q**2 - 3*q*v**2 + 5*v**4 wrt v?\nAnswer: 24*q**3*v + 18*q**3 + 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) -1\/6  (c) -1\/13  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -5*d - 28, 1 = -2*d - 247*x + 250*x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 121196 divided by -4.\nAnswer: -30299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of -6*p**2 - 4*p + 2. Let l be z(-4). Let a = l + -27. Calculate the remainder when 49 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -145125846.\nAnswer: -580503384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4106660 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14715.027 - -14707. Let a = -0.027 - h. Let o = 9 - a. Sort -0.4, o, -0.16 in increasing order.\nAnswer: -0.4, -0.16, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 greater than or equal to 43692\/1027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-22))\/(-187*243\/(-111078)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 663, 1313, 1963, 2613?\nAnswer: 3263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18 + 20. Suppose -3*c - 6 = g - 2, p*c = -g - 3. What is the tens digit of -1 + c - (-40 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/(-1)*(3 - -5))\/2. Let d(l) = 2*l**2 - 4*l - 4. Let b(v) = -3*v**2 + 5*v + 5. Calculate a*b(j) + 5*d(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -4*k + 8, -31 = -s + 2*k. Suppose 20 = 76*a - 71*a. Let f be 60\/5 - (a - 6). Calculate the highest common factor of f and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 4:30 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 + 28*q**2 - 548*q - 575. Calculate c(-41).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*o**2 - o**2 - 202*o - 1 + 2*o**4 + 239*o to g + k*o**2 + l*o**4 + i*o + n*o**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 s when four letters picked without replacement from msmsmmsmsmmmm.\nAnswer: 216\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let q be 6*((-8)\/6 + 2). Differentiate 2 - 5*g + g**q + 5*g with respect to g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -89*c + 335. Let d be w(-5). Calculate the highest common factor of 26 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4802 - -4802.00007096. Round a to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of 87*o**2\/2 - 2*o - 14. Let i be j(1). Suppose -h + i = -12. List the prime factors of h.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 223*g - 1335. Determine u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8118724 by 58.\nAnswer: 139978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5547 is divided by 62.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -1553*r - 24821. Calculate x(-16).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5084122853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14937595 and 35?\nAnswer: 104563165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 54 - 53. Let u be 2325\/(-620)*4\/(-5). Solve 0 = l - 3*s - q - 6, u*s = -3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -237214 and -7.\nAnswer: 1660498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000000 + -101?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 - (-201)\/9)\/((-299)\/2622). Suppose -2*o + 0*o = -4*i - 460, -3*o = 5*i - 646. Let l = x + o. What is the closest to 0 in -8\/7, 4\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d9 - 291d?\nAnswer: -29f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-10) + (-1963)\/(-65). Let b = v + -28. What is the units digit of (-7)\/(21\/(-270)) + b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 PM and 8:28 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 - 6*v**3 + 3*v**3 + 0*v**3 + 2*v**3. Let b(y) = 4*y**3 + 2*y**2 - 1. Give -b(u) - 3*m(u).\nAnswer: -u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*r - 87 + 27, 8*p + p - r - 2*r = -81 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 7 - (6 - (15 + -1 + 256 + -265)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 32*d**2 - 43*d + 24. What are the prime factors of a(5)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2*n**2 + 4 - 3 - 2*n - 4. Let f = -32 + 30. Let i(t) = -t - 1. Determine f*i(p) + s(p).\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (-2 + (-2 - -9 - -6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - -4*(-3)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1122.779178 and -2.\nAnswer: 2245.558356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 5*y**2 - 5*y + 6. Let t be w(1). What are the prime factors of 10 + -2*(-3)\/t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 89, 462, 1297, 2768, 5049, 8314, 12737, 18492?\n\"Answer: 29*j**3 + 57*j**2 - j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219*y**3 - 226*y**3 + 432*y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s - 11 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3018, -6043, -9072, -12105?\nAnswer: -15142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 37572084 to the nearest 1000000.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 233569.5 centuries?\nAnswer: 2335695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 573*k - 346. Let p be b(-28). What is p rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 65*u**2 - 8*u + 4. Let g be l(2). Let k = 4 - 2. Let b(n) = -248 - n**k - 5*n + g + 0*n**2. What is b(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31819 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 + 11*a - 3. Let l be w(-11). Calculate the smallest common multiple of -15*(2 - (-8)\/l) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 25819530, -1, 0.\nAnswer: -5, -1, 0, 25819530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven fifteenths of a hour?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10.96 + -11.16. Which is the nearest to -6\/23?  (a) -1  (b) 5  (c) 2\/3  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*w = -609 + 570 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 - 6*t**2 + 5*t - 18. Calculate v(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48641 and 30257.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of 2*k**3\/3 - 20. Let q be 2 + 0 - (-1 - -1). Let t(j) = 0*j**2 - 7*j**2 - 5*j**q. What is t(i(n))?\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2)\/(u\/(u*u**6)))\/(u\/((u**(-4\/7)\/u)\/u*u)*u**(2\/11)) assuming u is positive.\nAnswer: u**(96\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1094.3 + 1094.7. Which is smaller: q or 0.1515?\nAnswer: 0.1515","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -6*x + 30. Suppose -x = -s - 1. Which is greater: 3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = m - 4*v - 82, 3*m + 4*v - 364 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g**3 - 3*g**2 - 9*g - 10. Let y be b(-1). Sort -0.2, y, 0.2, -49\/3 in descending order.\nAnswer: 0.2, -0.2, y, -49\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -u - 5. Let c be -2 - u - (-18)\/(-27). Let i be (-4)\/6 + 16\/42. Sort c, -2, i in increasing order.\nAnswer: -2, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 20, -5.\nAnswer: -5, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - -27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 65 = 5*j, -2 - 2 = 2*j. Suppose -5*m = 4*f - 774, 5*m + 0*m - 4*f = 726. Calculate the greatest common factor of x and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j - 176 = 11*j. Let n = 46 - j. Suppose -n + 149 = 3*u. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbxkbxebbbxbbxbxbkb. What is prob of picking 2 e, 1 b, and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum -78 and -17.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-132)\/28 - 2\/7. Suppose 2*a + 3*f - 12 = -a, -3*f = -15. Sort u, a, 3.\nAnswer: u, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12744, 25505, 38266?\nAnswer: 51027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of f**4\/24 + f**2. Let r(a) = a**3 - 8*a**2 - a + 8. Let n be r(8). Suppose 4*i = -n*y - 4*y, 5*y + i - 16 = 0. What is o(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42 - 15. What is the highest common divisor of n and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3020 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -14*f. Let p(w) = -w**3 + 6*w**2 - 7*w - 1. Let h be p(3). Suppose 0 + 10 = h*g. Let b(j) = -8*j**2 - 7*j**2 + 12*j**g. Determine b(q(z)).\nAnswer: -588*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 6 = 3*m + 8, 5*m + 16 = 3*s. Calculate the remainder when m*(-27 - (1 + 1)) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of ((-2940)\/(-126))\/((-1)\/(-138))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 8  (b) -3  (c) 3\/35  (d) -5  (e) -326\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 2*s = -2. Suppose 1872 = -4*l + 504. Let z be 6*(-219)\/l - 4. Are s and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-six fifths of a tonne in kilograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -38.35 - -38.75. Which is the closest to -24?  (a) -1\/5  (b) z  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -10*o**2 - 4. Calculate d(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2200075 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 5492326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/4)\/(h\/((h\/((h*h\/(h**0\/h*h))\/h))\/h)))\/(h**(-1\/2)*(h*h**(-5\/4))\/h) assuming h is positive.\nAnswer: 1\/sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*n**3 + 4*n**3 - 3*n**3 + (-4*n**2 + 4*n**2 + n**2)*(2*n - 3*n + 2*n).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000102452916 rounded to 7 dps?\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-15 - -31) + -17 + 22615 + (-1)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 670571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*(c\/(c\/c**6*c))\/c*c*c**(2\/7)*c*c)\/((c\/c**(-6\/5))\/(c\/(c*c\/((c\/(c\/c**(-2\/13)))\/c)))))**36 assuming c is positive.\nAnswer: c**(64404\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 12) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i**3\/3 - 9157883*i**2 + 9157882*i + 54947296\/3 = 0. What is i?\nAnswer: -1, 2, 27473648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -1622.8902 to the nearest 10.\nAnswer: -1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 615\/195 - 8\/52.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-11)*q**(2\/3)\/q)**(-6) assuming q is positive.\nAnswer: q**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.715 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -5*k + 52 - 17, -3*g + 18 = k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*i**3*j**2*o - 1228*i**3*o**2 + 17*i**2*o + 43*i*j**2 - 8*j**2*o**2 wrt i.\nAnswer: 48*j**2*o - 7368*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 46 and 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -3*t**4\/4 - 38*t**3 - 504*t**2 + 1037. Factor p(j).\nAnswer: -3*j*(j + 14)*(j + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, -0.03, 4, 15.9, 1?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = 485*h - 481*h - 4, 0 = 5*y + 4*h - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*u = 2*u + 24*u + 114 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-27))\/(3\/9). Suppose -5*n + 4*j + 27 = 0, -2*n + 29 = n + 4*j. Suppose d - 4*g - n = 0, 3*d + 4*g = -d - 12. Do d and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 - 9*b - 10. Let j be h(-7). Let p = j + -8. Are -3 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 1708864 = c + 10388854, 0 = -3*c - 5*f - 26040025. Round c to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(2\/43)*z*(z*z*z**(-4\/3)\/z*z)\/z*z)\/((z*z**4*z)\/(z*z**(1\/14))) assuming z is positive.\nAnswer: z**(-4169\/1806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25 - 25. Let b(o) = -o**2 - 2*o + 141. What are the prime factors of b(p)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, h: 10}. What is prob of picking 1 o and 1 h?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 8. Let i = u - 2. Suppose -10 + 2 = -2*v. What is the closest to -1 in v, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/(-44))\/(3\/9). Sort -2\/17, y, 0.1 in ascending order.\nAnswer: -2\/17, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*((-2)\/(-30))\/(27\/90)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -132, -265, -400, -537, -676, -817, -960?\n\"Answer: -u**2 - 130*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - f + 11 = 4, f - 1 = 2*n. Sort 0, n, 2 in decreasing order.\nAnswer: 2, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or -1004?\nAnswer: -1004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 26*x + 143*x - 62*x - 25. Suppose -3*p = -0*p - 12. Is n(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - 12101002221?\nAnswer: -12101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*l + 2908*l**3 + 2927*l**3 - 8*l + 2920*l**3 - 8752*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 11  (b) 243  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28\/225 + -169\/450. What is the nearest to 3 in q, 0.8, -2\/19?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 k when three letters picked without replacement from mkuwmwkukwwkkmkmku.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 5\/4, -721, 423?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence noo when three letters picked without replacement from oonoyoynooo.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 586888, 104\/3, -1\/2, 5 in increasing order.\nAnswer: -1\/2, 0.2, 5, 104\/3, 586888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(4\/17))\/z*z**(1\/40)*z*(z*z\/z**23)\/z**(-11) assuming z is positive.\nAnswer: z**(-6263\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/12*((-90)\/(-8))\/(-1)*(-27008)\/40512?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d**2 + 7*d. Give s(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-752)\/14 - 14\/49. Let a = -38 - b. Calculate the greatest common divisor of a and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(-2))\/x*((x\/(x**23\/x))\/x)\/x)**(3\/31))**(-41) assuming x is positive.\nAnswer: x**(3075\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t**4 + 15 - 2*t**2 - 16 + 3*t + t**3 + 6 as n*t**3 + j*t**4 + o*t**2 + z + v*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33085, -33083, -33081?\nAnswer: -33079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32152742.\nAnswer: 2, 173, 92927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(19) + 1)**2 - 3*(sqrt(76)\/sqrt(4))**2.\nAnswer: -42 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16 + 24. Let h = v + -5. Suppose 3*n - 3*a - 12 = 0, 0 = -5*n + 3*a - 7*a + 2. Sort h, 4, n in decreasing order.\nAnswer: 4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2445\/126196 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + -134)\/(120\/(-1160)*29)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -4*r + 9 - 48, -3*x = -4*r - 41. Let q = 17 + r. What is the smallest common multiple of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0021442 rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.09  (b) 8  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 10:14 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - p - 6*p = 66249. Round p to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 32224 and 1400?\nAnswer: 5639200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1679785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - (-2 + 7 + (60 - -1) - (400 + -405)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vqqggvvvnngvggvnggv. What is prob of sequence ggvq?\nAnswer: 49\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2839 + -2838. Solve 10*t - 6*t - f = -h, 24 = 4*h - 4*t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/18*2)\/((-14)\/(-84)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 10:18 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*o - 21*o - 5. Let f(a) = 74*a + 2. Let r be f(2). Suppose -o*q = -5*t - r, 2*q + q + 5*t = 98. Is 21 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - 0)*2\/(-4) - -27. What is the greatest common divisor of s and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**4*a)**40*a**(7\/3)\/(a\/(a*a\/a**(1\/20))) assuming a is positive.\nAnswer: a**(14597\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.2 - -2.2. Let w = 20 - z. Let k = w - 18.7. Which is the third smallest value?  (a) k  (b) -4\/3  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 38*o - 4*o + 167*o in the form w + d*o and give d.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -5, 2*b = 7*b - 5*t - 145. Let v be -2*(39\/6 + 3). Let f = v + 20. Solve b = -5*x - 3*s + 2*s, -s = -f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 787605 divided by 60585.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 7*k + 54. What is the remainder when k is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -216.83 - -21.33. Round x to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131588147 to the power of 1\/2, to the nearest integer?\nAnswer: 11471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -228*y - 6*y**3 - 231*y + 692*y + 1 - 233*y - 7*y**3.\nAnswer: -13*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 79 = -c, -290 + 295 = -5*c. Solve 31 = 3*a + 5*f - 1, a - 5*f = -g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 92\/80 + (-2)\/5. Put h, 3, -0.17 in ascending order.\nAnswer: -0.17, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -3.2. Let z be 11\/(-12) + (-99)\/429 + (-105)\/(-117). What is the biggest value in z, -0.8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 262*-9\nAnswer: -2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from wgvwwwgvwvwwvwwgbb.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41 - 44 - 44 - a - 40 + 165.\nAnswer: -a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**5 + 2440*f**4 + 187900*f**3 + 363640*f**2 - 187904*f - 366080 = 0. Calculate f.\nAnswer: -520, -88, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 2*a + 3*a + 81 = 0, a = -l + 19. What is the lowest common multiple of 126 and l?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8371.\nAnswer: 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(75)*-2 + sqrt(75) - sqrt(75)))**2 + (4 + 1 + sqrt(300))**2.\nAnswer: 120*sqrt(3) + 626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l**3 - 6*l**3 - 23 + 3*l**3 + 4*l**3.\nAnswer: 2*l**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by (-17 + 14)*40\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18265 in 3, -0.3, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g + 3 + 7 + 5. Suppose -76 = 6*t + 464. Let y be (-2)\/4 + t\/12. Determine d(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223827168 rounded to the nearest one hundred thousand?\nAnswer: 223800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of g**6\/135 + 635*g**5\/36 + 314821*g**4\/27 - 315218*g**3\/27 - 45*g - 8. Let r(a) = 0. Calculate a.\nAnswer: -794, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -4 + ((sqrt(864)*-2 + sqrt(864) + sqrt(864))*-3)\/(((sqrt(64) + (sqrt(64)*2 - sqrt(64)))\/sqrt(8))\/sqrt(4)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g = 4 + 23. Let d(u) = 4*u**2 + 27*u - 5. Let t be d(-7). Solve 0 = t*j + 1 + g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3602, 7534, 11482, 15452, 19450?\n\"Answer: u**3 + 2*u**2 + 3919*u - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -14131?\nAnswer: 14130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -94 divided by 3?\nAnswer: -94\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 199 + 194 = 0. Suppose 2*n - 4 = 4. Suppose 17 = o + p*h - 3, -n*o + 3*h = 12. Which is the nearest to o?  (a) 0  (b) -0.1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2 and -20415051.196.\nAnswer: -20415053.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -646 + 6286*r**4 - 4241*r + 644 + 3146*r wrt r.\nAnswer: 75432*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 11) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 264437 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from clxl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide (-1903)\/(-173) + (244 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2 = 0, -16*j + 69729 = -12*j + w. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1774 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in seventy-five halves of a millisecond?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -164*v - 3192. What is the units digit of t(-93)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (170*(-3)\/(-180))\/((-18)\/162)\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -651*d + 39. Let g be h(-11). Round g to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 19213724559 and -2491.\nAnswer: 19213722068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 - 17. Suppose -15 = -u*b + 3*a + 2, -4*b + a + 15 = 0. Suppose 0 = 4*g + b, 4*i - 3*g - 3 = i. Solve i = -4*n + 1 + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33887426.\nAnswer: 2, 17, 996689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 0 - 6 + 1 - r - 6*r**3 - r - 5*r**2. Is q(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/14)\/(7\/((-65758)\/15)). Let h = 179 - k. What is the nearest to 0 in -2, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2405087 and 3346208?\nAnswer: 76962784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k**5\/7 - 2038*k**4\/7 - 36921*k**3\/7 - 178834*k**2\/7 - 78272*k\/7 + 296064\/7 = 0. What is k?\nAnswer: -9, -8, -2, 1, 2056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*g + 15 + 6 = -44 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**2 - b**2 + 3 - 13 + 5*b**2 + 3*b**3 to the form n*b**3 + p*b + h*b**2 + q and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*c - 60*c = -182970. What are the prime factors of c?\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*b - 131. Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(112)*2 + sqrt(77)\/sqrt(99).\nAnswer: 25*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 r when three letters picked without replacement from rxrrrrxrcrixvrix?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16638 is divided by 1847.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 - -22565479783319.\nAnswer: 22565479783318.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-2*sqrt(1024) - ((sqrt(1024) - sqrt(1024)*-2 - sqrt(1024)) + sqrt(1024) - sqrt(16)))\/(2*(-2*sqrt(392) + sqrt(392))).\nAnswer: -3 + 39*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35*24\/336)\/((-10)\/18*1)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 44*s + 1. Let u(y) = -y + 1. Let i be u(0). Let p be w(i). Let k = p - 24. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26.058298 to zero dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(275) + sqrt(275))*1 - (sqrt(275)*-1 + sqrt(275) + 5) - (-2*(sqrt(275) + (-2 + sqrt(275))*-3) + 1))**2.\nAnswer: -420*sqrt(11) + 13511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (60\/8)\/(4\/(-8)). Let j = -12 - f. Solve 0*h + 15 = j*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 + 15*z + 176. List the prime factors of l(0).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12550*n*t**3 - n*t**2 - 133*n*t - n - 702*t**3 + 7*t**2 + t + 251 wrt n.\nAnswer: -12550*t**3 - t**2 - 133*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3879445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 AM and 6:03 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17524 - 385461\/22. Let l = -91531\/21232 - 2\/1327. What is the common denominator of l and v?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 7:47 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*(-1)\/4*-10. Suppose -4*z + l = -21, 0*l = 5*l + n. Calculate the highest common divisor of 45 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*l**2 + 4*l**2 - 2*l**2 + (3*l - 2*l - 2*l)*(2 + l - 2) + 31*l**2 + 42*l**2 + 16*l**2 to the form w + i*l + j*l**2 and give j.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3777094539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -32*5\/(-160) + (-26)\/20. Let r = 5 + 0. Put 1\/6, r, x in descending order.\nAnswer: r, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (253 + 281 - 601)*(-1 + 1 - 2)*(2*a - 2 + 2) in the form x + z*a and give z.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 5 = 3*n. Let a be (2\/4)\/((-4)\/(-32)). Suppose -a*w = w - 20. What is the nearest to 0.1 in -2\/7, w, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3*a = 319, l + 79 = 2*l + a. Suppose 2*t = -5*s + 14 + l, -2*s = -4*t + 192. Suppose -t = -2*r + 18. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (58\/4)\/(2\/4). Suppose -3*a + k = -5*t + 9, -5*t = 20. Solve -i = -a + 1, 0 = 3*r - i + 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 475 by -15544.\nAnswer: -475\/15544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 346 - 347. Suppose -3*k - 2*k - 40 = 0. Let b = k + 6. What is the nearest to c in 2\/21, -3\/2, b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 195 and 43057365?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggvnwwgvrvw. Give prob of sequence wg.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 9*o + 40 = 0. What is the derivative of 11*f**3 + 3 - o*f**3 + 3*f**3 - 17 wrt f?\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -300*h**5\/7 - 92220*h**4\/7 + 2819013*h**3\/7 - 3060468*h**2 + 1728972*h - 254016 = 0. What is h?\nAnswer: -336, 3\/10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - 317?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35 and 375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2216*d + 9*d**3 + 4402*d - 2186*d + d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - 5. Let y(d) = -257*d**2. Calculate y(j(z)).\nAnswer: -257*z**4 + 2570*z**2 - 6425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -1350  (b) 4  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -160 (base 12) to base 14.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.008043043 rounded to five decimal places?\nAnswer: -0.00804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1126495*y - 14595508 with respect to y.\nAnswer: 1126495","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is -1206671 (base 8) in base 16?\nAnswer: -50db9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 551*u + 53519. Calculate f(-97).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105974?\nAnswer: 2, 11, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/26)\/(120\/(-390)). Let r = 145 - 145.3. Which is the nearest to r?  (a) 0.1  (b) -2  (c) 2\/33  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 61383\/(-2607) - 96\/66.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9152 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -71 + 73. Let j(h) be the third derivative of 2*h**q + 1\/12*h**4 + 0 + 0*h + 0*h**3. Let i(l) = 3*l. Determine j(i(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 5*s - 5, 2*c - 4 = -2*c - 4*s. Suppose c*x - x = -3. What is the third derivative of 0 - x*p**2 - 5 - 2*p**5 + 5 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -105*x + 139*x + 2974 - 255 - 271 for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 9:07 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 5*j**2 + 2*j - 2. Let d be c(5). Let m = -37 - -77. What is the greatest common divisor of m and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.03 * 1.0417.\nAnswer: 0.031251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 6)*(h + 2*h - 2*h) - 2*h + 2*h + h + h + 2*h - h + (-3 - 2*h + 9*h - 9*h)*(3 + 0 - 2).\nAnswer: 3*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 117979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -176*f**3 + 25897*f**2 + 11*f + 832184616 wrt f.\nAnswer: -528*f**2 + 51794*f + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, -5, 2\/3, 4, -65.509, -161?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 + 12*k + 8. Let z(p) = -p**2 - 13*p + 1002. Let t be z(26). Calculate n(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a + 8. Let s = 9 + -1. What is the tens digit of r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 16*n**5 + 4292*n**4 - 115040*n**3 + 289052*n**2 - 126752*n - 51568 = 0?\nAnswer: -293, -1\/4, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 345, 689, 1033, 1377, 1721, 2065?\nAnswer: 2409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -j + h - 326, 0 = 2*j - h - 160. Suppose j*c = 85*c - 68. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**2 - 3*n**2 + 2*n**2 + (0*n - n + 2*n)*(-3 + 3 - n) - 4*n**2 + 2*n**2 + 3*n**2 + 1012*n - 21*n**2 - 1012*n.\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11400 + 18092. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 - 23 - (10 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2341569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + b**2 - 5*b - 4. Let c be i(-2). Suppose -c*d - 27 = -5*s, 6 = -5*d + 1. Let a be (-1 + 2)*(-4)\/(-22). What is the smallest value in 4\/3, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 349*f - 332*f - 3366 = 0. Suppose 3*n - 399 = 2*w, 5*w + f = 5*n - 462. Let c be (-15)\/(-2)*6 + 0. What is the greatest common factor of c and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/(sqrt(24)\/sqrt(4)) - sqrt(5)*2*5) + (sqrt(960)*-2)\/sqrt(12).\nAnswer: -17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 349525834 is divided by 116508609.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 1:44 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -7*a**3 - 4*a**2 - 2*a + 5. What is the units digit of p(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 1) + (3 - (4 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n = -13*n + 632. Let h = n + -42. Let q = h - 100. What is the greatest common factor of 80 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -996*h**2 - 997*h**2 + 1991*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 15*f**2 + 4582*f + 351079. Let c(w) = 85*w**2 + 25965*w + 1989450. Let j(r) = 8*c(r) - 45*k(r). Factor j(p).\nAnswer: 5*(p + 153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/((a\/a**1)\/a))\/(a*a\/(a*a\/a**(2\/3)*a)))\/(a*(a*((a*a*a**2*a*a)\/a*a)\/a)\/a*a**(2\/5)))**(-48) assuming a is positive.\nAnswer: a**(976\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 817831.487 to the nearest one thousand.\nAnswer: 818000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 5*u**2 + 2*u**2 - 12 - 3.\nAnswer: -3*u**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 95.61 - -54.17. Let s = i - 151. What is s rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7398 is divided by 6371.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 10:34 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.41 - -16.59. Let g = i + -16.6. Put 0.5, g, -2\/25 in ascending order.\nAnswer: -2\/25, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s + 6*s - s)*(5 - 2 - 1) + 3*s - 2*s - 2*s - 20380 + 20380 + 1095*s.\nAnswer: 1098*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 - -43. Suppose -28*o + i*o = -28. Solve 2*x = 3*n - 0*x - o, -12 = 2*n + 4*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 439793 or 439813?\nAnswer: 439793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 119386, 118432, 116830, 114574, 111658?\nAnswer: 108076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -3*c - 6. Let j(u) = -2302483 + 3*u + 2302494 + 3*u. What is -3*j(r) - 5*l(r)?\nAnswer: -3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24 + 156. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/(-10) - (2 + -2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/308 and -5\/22?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-80))\/((-7)\/(35\/2))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 2150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = -k + 4, -2*g - 10*k = -8*k - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 3 = -9, 2*y - 6 = -d. Suppose 170 = 4*v + v. Suppose -u = 2*k - d - 10, 4*u = 2*k - v. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24.5838 + -0.2838. Let j = 31.91 - -0.09. Let r = i - j. What is r rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26b40 (base 13) in base 5?\nAnswer: 4302330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 18672.255 seconds in days?\nAnswer: 0.2161140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -109, -21, -4, 4, -164 in descending order.\nAnswer: 4, -4, -21, -109, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*a + 2. Let x(i) = i**3 - 157*i**2 - 641*i - 487. Let c be x(161). Put c, a, -3 in increasing order.\nAnswer: c, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of -3*f**5\/10 + f**2\/2 + 2*f. Suppose -4*k - m + 1 = 0, k - 5*m = -4*k - 30. What is the units digit of a(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(1\/5))\/(x**(2\/17)\/x) assuming x is positive.\nAnswer: x**(143\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -82*o - 17. Let a be w(-5). Let u = 8234 + a. Let i = u - 5808. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17856, -17715, -17474, -17133, -16692, -16151?\nAnswer: -15510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/8504871  (b) 1\/4  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 6*b**2 - 46*b - 44. What is the thousands digit of p(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of n**6\/40 + n**5\/20 - n**4\/4 + 2*n**3\/3 + 19*n**2. Is l(3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4732, -7723, -10714, -13705?\n\"Answer: -2991*f - 1741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from miixxxoxifir. What is prob of picking 3 i and 1 m?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 11 = 4*u + 20, 5*u = -4*j. Suppose 0 = -l + j*l - 36. What is the highest common factor of l and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35619321 to the power of 1\/2, to the nearest integer?\nAnswer: 5968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, -179, -44, 3, 10 in descending order.\nAnswer: 10, 3, -1, -5, -44, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -62 - 56*t - 27*t + 76*t + 14. Give i(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/4*(-10)\/(-3). Let g(v) = 23*v - 19. Let r(h) = -24*h + 19. Let m(y) = d*g(y) - 6*r(y). What is the derivative of m(b) wrt b?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 6:45 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r + 5. Let i be l(5). Solve z + 5*f - 15 = 0, i*f - 4*f - 2 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -396\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00934821133 to 5 decimal places.\nAnswer: -0.00935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -275*r - 554*r - 552*r + 804*r in the form d + w*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 20385 * 0.2.\nAnswer: 4077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 1\/4  (b) 3  (c) 74  (d) -0.1  (e) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b**3\/5 + 742*b**2\/5 - 3248*b\/5 - 362 = 0. What is b?\nAnswer: -1\/2, 5, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.45179 nanometers in millimeters?\nAnswer: 0.00006545179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.4586 - -1.5414. Let m = 0.05 + -0.11. Let d = -1 + 0.9. Sort d, i, m, 4 in ascending order.\nAnswer: d, m, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 5:44 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -3745289*f**2 - f. Let w be o(-1). Let d = -18942759 + w. Let k = -38688047 - d. What is k rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - -3.9. Let z = t - 9. Which is the closest to 0?  (a) 2  (b) -4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 5, 13 = 4*c - 4*v - 15. Let i(w) = 3*w - 8. What are the prime factors of i(c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 358068143 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + 0. Suppose 2*v - 1 = -n*j - 3, 0 = -4*j - 2*v - 6. Let o be j*(-1 + (-38)\/(-36)). What is the closest to -0.1 in o, -3\/4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - a = -4*c + 10670, -2*c + 2*a + 5334 = 0. What are the prime factors of c?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -98*b + 683. Let k be q(7). Is -5\/3 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u - 4*u**2 + 2 + 9*u - 16*u + u**3 - 3*u. Determine v(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, u: 1, j: 9, s: 5}. Give prob of picking 1 j, 1 s, and 1 v.\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbccwwbb. Give prob of picking 2 w and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*5*((sqrt(170) - (sqrt(170) - ((-2*sqrt(170) - sqrt(170)) + sqrt(170))))*-5 - sqrt(170)))\/(6*2*((sqrt(10)*2 - sqrt(10)) + sqrt(10))*-6).\nAnswer: -25*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of -3*z + 3 - 1\/3*z**3 + 0*z**2. What is the derivative of w(x) wrt x?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0396 + 71.8396. Let i = 78 - c. Let t = 6.19977 - i. Round t to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f = 687 - 159. Suppose -5*b + f = 2*j, -62 = -5*j - 5*b + 7*b. Are 13 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -34 - -37. Solve 3*z - 5*a = -4, -s*z + 6 = -a + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*l**4*m**2 + 2942*l**4 - l**3*m**3 + 4901*l**2*m**3 - 7*l - 1 wrt l?\nAnswer: -72*l*m**2 + 70608*l - 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-10))\/(1677\/(-11180)) - (-110)\/(-26)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*z + 72 = -54 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*v**2 + v**2 + 0*v**2)*(-2*v**2 + 4*v - 4*v) + 0 - v**4 + 0)*(15 + 95 + 242)*(-3*v + 3*v - v).\nAnswer: 3168*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 145 + c + 91 - 58 - 2*c to the form q*c + k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 5*n - 2415520 = c, 2*n - 483104 = -c. Is 2 - (c\/(-40) - (-9)\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/(-4) - (-74 - -2).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16659 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: What is the units digit of (-20)\/(-25)*180\/(-24) - -8672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -316\/19 + 318\/19*z - 2\/19*z**2.\nAnswer: -2*(z - 158)*(z - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -5*x + 3*l - 19, 3*x = -2*l - 19. Let p = -22\/5 - -23\/5. What is the nearest to -5 in x, p, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - 13*w**2 - 3. Suppose -4*x = -4*h + 32, -16 + 17 = -2*x + 5*h. Calculate u(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 - k. Let a be u(0). Suppose -3*o + 4*v + 364 = a, 475 = 5*o - o + 5*v. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from {j: 2, l: 1, v: 1, g: 2, i: 1, y: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -23382 divided by 1\nAnswer: -23382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 641 a factor of 1637432233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/7 or -68?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 190 = 26*t + 98. Solve 0 = 4*w - t, -3*w = -12*i + 13*i - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -317228656 - 0.2?\nAnswer: -317228656.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2649346.002944 + -2648844. Let o = y + -502. What is o rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 48479264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -53137*a**2 + 188270 wrt a?\nAnswer: -106274*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 595\/30 - (16 + 0). Let s(p) be the second derivative of 0*p**2 + r*p**3 + 0 + 12*p. Let g(j) = -j**2. Determine s(g(y)).\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -131 + -24542035?\nAnswer: -24542210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-72)*(-192)\/(-80).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 78147052903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -388758 - -8?\nAnswer: -388750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 563 = 5*a + 25, 0 = 5*a + 4*q - 562. Let j = 234 - a. What is the highest common factor of 93 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 + 6*p + 5. Let j be b(-7). Suppose 12 + 39 = 5*r + 2*a, 5*a = -2*r + j. Let u(t) = 17*t - t**2 + 17*t - r - 33*t + 9*t. Give u(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 33 = 7. Suppose -x*s + 167 = 47. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -11*b. Let z(w) = 15*w**2. What is z(n(t))?\nAnswer: 1815*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yg when two letters picked without replacement from mmxgylxg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 484 = 3*y - 530. Let c = y + -341. What is the third smallest value in -2, 0.5, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 5*n - 19 = 0, -3*n - 9 = -3*u - 2*n. Suppose -7*j + 35 = -u*j. What is the remainder when 18 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5177?\nAnswer: 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.18 in 2\/11, 1\/6, 8287?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of 8*m**2 + 1\/3*m**4 + 3*m + 0 - 3\/5*m**6 + 21\/10*m**5 - 20\/3*m**3. Find f such that r(f) = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kzzkvkzaaaa. Give prob of picking 1 a and 2 k.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-3 + (sqrt(176)*3)**2 + -5 - 5*(-3 + sqrt(176))*-2) + 0.\nAnswer: 40*sqrt(11) + 1544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 1:57 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-78)\/(-3)*4*(110\/(-792))\/((-125)\/75)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -209?\nAnswer: -4\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -11*p - 1. Let f be s(-2). Suppose -o - a + f = 0, 2*o = -o + 4*a + 84. Suppose -o = t - 33. Calculate the lowest common multiple of t and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-2)*(29 - 41). What is the greatest common factor of s and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -44\/3 and 2\/2 + (-142)\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2691373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60114?\nAnswer: 2, 3, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 5*v**2 + 19*v + 170. Let k(q) = 3*q**2 + 13*q + 113. Let i(a) = -8*k(a) + 5*y(a). Calculate the remainder when i(17) is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -58485.01 rounded to the nearest one thousand?\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3988107*o**4 + 1461512 with respect to o.\nAnswer: 15952428*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -949*w**2 + 30. Let x(n) = 94901*n**2 - 3010. Give -301*r(c) - 3*x(c).\nAnswer: 946*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add 2 and -0.116436004.\nAnswer: 1.883563996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.5  (b) 16  (c) 2\/19  (d) -4  (e) 3  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 + 6*h + 10. Suppose 2*z - m - 49 = 4, -4*z - m + 97 = 0. Let b(t) = -21 + 16*t**2 - 13*t - z*t**2 + 7*t**2. Calculate -6*b(l) - 13*c(l).\nAnswer: -l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + ((-2)\/3 - -1 - 4712\/(-372)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/5  (b) -4  (c) 4\/7  (d) 3\/7  (e) -10\/13  (f) 5  (g) 645\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161*v - 2093725 = -2099843 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 6*m = -m - 32, -g = -m + 1. Suppose -g*f - 11 = 4*d, 1 = 3*f + d - 3. Suppose s = 4*p, 4*p + 6 + 10 = -f*s. Sort s, -1, 0 in decreasing order.\nAnswer: 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -213617.7279 rounded to the nearest ten?\nAnswer: -213620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.05 - 0.05. Let n = m - -0.1. Let z be (-4 + 4 + 0)*1 - -3. What is the closest to -1 in z, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 342*f**2 + 0 - 52*f**2 + 2 + 79*f**2.\nAnswer: 369*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77340945?\nAnswer: 3, 5, 11, 73, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 289912 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -7*g + 78. Let w be o(10). Suppose 0 = -3*a - 2*v + 19 - w, 2*a - 4*v = 18. Solve 4*c - a*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**2 + 0*i + 0*i)*(17 + 35*i - 17).\nAnswer: -105*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111686 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 977, -61, -1113, -2185, -3283?\n\"Answer: -l**3 - l**2 - 1028*l + 2007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 290 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -287 = -45*y + 224 + 299 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-1\/4))**33\/(l**0*l)**(2\/13)*(l**(-2\/23)*l*l**2*l)**16 assuming l is positive.\nAnswer: l**(104297\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27)\/(-99))\/(6\/4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 3*x + 15. Solve 10 = 2*h + x*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 11) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -3*o**3 + 5*o + 1 + 0*o**3 - 3*o. Let b be s(-1). Solve b*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2072 * 580.9.\nAnswer: -120.36248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1179)\/(-655))\/(13\/(-10) + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 33*w + 5949. What is the tens digit of o(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of -7*z**6\/50 + 6*z**5\/5 - 18*z**4\/5 + 16*z**3\/5 + 24*z**2\/5 - 58*z - 2. Factor r(w).\nAnswer: -3*(w - 2)**3*(7*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 46\/(-6) - (2 - 6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -210, -40, 244, 642?\n\"Answer: 57*z**2 - z - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2184600.\nAnswer: 2, 3, 5, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2068047937 to the nearest integer?\nAnswer: 45476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -16. Let q = j + 13. Suppose q*h - 36 = h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -153*i + 64 = -145*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-2)\/n**(8\/9))\/(n**1*n**(-2\/23)))**(1\/86))**(-47) assuming n is positive.\nAnswer: n**(36989\/17802)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 - 17*d - 5. Let w be y(14). Let v = w - -47. Suppose 3 = z + 8, -5*u - 5*z = -70. Solve -p + 5*p + u = -3*n, v = -4*n + p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of c**3\/3 - 6217. Let d(m) = 5*m**2 + 65*m. Calculate d(l(g)).\nAnswer: 5*g**4 + 65*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*n**2 - n**3 - n**3 - 2*n**3 in the form i*n + t + x*n**2 + z*n**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -80.7 + 82. Let t = -16.3 + q. Let b = -13 - t. Which is greater: -2\/39 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 236712, 236886, 237064, 237246, 237432, 237622, 237816?\n\"Answer: 2*x**2 + 168*x + 236542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.4 * -16289780.\nAnswer: -22805692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 112\/9, 1\/7, -1431, 4, -1\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 2*n - 104 = 0, 26 - 117 = 4*a - n. What is the units digit of (-1)\/2*0\/7 - a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22219 is divided by 7404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 - 2*p - 3. Let y be 3 + (-3 - (-2 + -1)). Suppose -b - g = -y, -21 = -4*b + g + 16. What is the smallest common multiple of d(-2) and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10130 (base 5) to base 14\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-126 - -68) + (-4 - -23)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2908, -5817, -8726, -11635?\nAnswer: -14544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2*r**3 - 2. Let k(f) = 10*f**3 + 184*f**2 - 12. Let l(i) = k(i) - 6*o(i). Determine t, given that l(t) = 0.\nAnswer: 0, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + ((0\/3)\/(-2))\/(-1). Suppose 6*g - 72 = 3*g - 2*m, -5*m = v. What is the least common multiple of 36 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - (-4 + (-3 - -4)). Let v(p) = -3*p**4 + 2*p**3 - 3. Let c(z) = z**3 - 1. Let b(t) = w*v(t) - 2*c(t). Differentiate b(n) with respect to n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**4 + 4*o**3 - 8*o**2 + 5*o - 3. Let m(w) = -w**4 + 4*w**3 - 7*w**2 + 4*w - 2. Let y = 3 + -1. Let i(u) = y*s(u) - 3*m(u). Factor i(l).\nAnswer: l*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 981, 952, 923, 894?\n\"Answer: -29*p + 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (20\/(-35))\/((-2)\/7). Solve x + 0 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 27, 56, 85, 114?\n\"Answer: 29*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of -7*h**5\/5 + h**3\/2 - h**2 - 11*h + 1. Is o(-2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**2 - 49*j - 45. Is z(26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 366 - 337. Let d be (f\/(-58))\/((-2)\/4). Is 2\/117 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 200*v**5 + 7*v**2 - 20*v wrt v.\nAnswer: 12000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-116)\/203)\/((-623)\/(-49) + 7).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of 69*c**2\/2 + c + 23. Let w(k) = -32*k - 1. Let v(m) = 3*i(m) + 5*w(m). Let o(u) = -5*u. Calculate v(o(s)).\nAnswer: -235*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + u + 0*u = 7, 2*u = -2*y + 2. What are the prime factors of 1488\/12 - 0\/y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5710 - -8445. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.168 + -0.572. Let q = -46 + 45.5. What is the biggest value in q, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4527451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -206995 take away 83243?\nAnswer: -290238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -420.7 + -66.3. Let b = h + 833. Let r = b - 345.999999777. What is r rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 8*k + 5*k + 2 = 0, 3*k - 11 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0082051147 + 19752.8080551147. Let o = h + -19748.8. Let y = -4 + o. Round y to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + 0*w - w)*(21*w**2 + 305*w**2 - 144*w**2 + 434*w**2).\nAnswer: -1232*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*f, 36 - 31 = 3*q + 2*f. Suppose w + w - 88 = -q*d, w + 37 = 2*d. What is the lowest common multiple of 6 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.6358911ms in days?\nAnswer: 0.00000025041540625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/((-12)\/(-9)) + 0. Suppose -5*h + 6 = -b*h. Is h < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 12:48 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j**2 - 6*j + 2. What is v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -360, 127, 5, -7.2?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 PM and 9:09 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 - -26.86. Which is smaller: -4 or g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 11 + 11)*(-2*z - 2 + 2) + 6*z - 14 + 14 + (1 + 1 + 1)*(1 - 1 + 2*z).\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 4*t - 1. What is the tens digit of g(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 94190, 371245, 833002, 1479461, 2310622?\nAnswer: 3326485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - 5*d**2 - 8*d - 6. Let u be f(7). Let o(l) = -l**3 - 2. Let i be o(-2). Suppose 3*t = i + u. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1660 + -1555. Which is bigger: 100 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - 0) + 12\/(-4) + 2. Suppose 0 = -4*a + 11 - 31. Let y(f) = f + 3. Let v be y(-5). Put v, w, a in decreasing order.\nAnswer: w, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (28\/4 + 0)*1. Suppose 6 = -4*y + 26, 2*r + 5*y - 37 = 0. Let u = r - -3. Which is bigger: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2. Let c(w) = 178*w**2. Give c(h(o)).\nAnswer: 712*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -6*f**3 + 3*f**2 + 2*f. Suppose 17*h - 4 = -21. Calculate the least common multiple of ((-1)\/(-2) + 2)*8 and i(h).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1089801?\nAnswer: 3, 181, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 2*n = -4. Let z = 39 + -39. Put z, n, -1 in increasing order.\nAnswer: -1, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 576382 + 2*s**3 + 443068 - 1019450.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*o + 1190 = -70. Suppose x + 1 + 2 = 0. Let a(v) = 2*v**2. Let w be a(x). What is the greatest common divisor of w and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 15) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 f when four letters picked without replacement from epvvfvfffvffmfvemfm?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-4)*36\/(-3). Let v be (2\/(-5))\/(13\/195). Let i = v - x. Solve i = 2*y + 3*m + 1, 5*m = -y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21.13858434 + -21.328584. Let w = 84.81 - 85. Let k = w - m. What is k rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2363720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -904256, -904261, -904266, -904271, -904276, -904281?\n\"Answer: -5*d - 904251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1b064909 - 1?\nAnswer: -1b06490a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 109, 205, 339, 529, 793, 1149?\n\"Answer: 3*q**3 + q**2 + 72*q + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2734 + 2739. Let d(x) = x - 1. Let p(a) = -2*a - 6. Determine g*d(s) + p(s).\nAnswer: 3*s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -101340 take away -1?\nAnswer: -101339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, q: 6, z: 3, l: 4, e: 1}. What is prob of picking 1 y, 1 q, 1 e, and 1 z?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 112320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 523, -0.3, -4, 4, 3.\nAnswer: -4, -0.3, 3, 4, 523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d + 7. Let a = 156 + -151. Determine i(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (85\/255)\/(1\/(-3)*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 f, and 1 r when three letters picked without replacement from tyfyhtyhyrrt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 12*i + 1. Let v be 3\/12 + (-1)\/4. Let u = v + 2. Is s(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 + 7*f**2 - 6*f + 3. Let b(l) = -l**2 + 6*l - 2. Let p be b(4). Let q be g(p). Suppose -4*w = -w, -q*w + 18 = 2*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.22*5626.96\nAnswer: 1237.9312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + (13 - (-5 - -11) - 3 - 5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 614611\/4659 - 15\/6212. Let v = p - 132. Which is the closest to 1?  (a) v  (b) 3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jwwwwjw. What is prob of sequence wj?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -70.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 30211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {t: 4, e: 1, o: 1, d: 1, f: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, x: 2}. What is prob of sequence wx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0106 + -2.0106. Let f be 4 + 28\/(-6) - (-14)\/12. Which is the second biggest value?  (a) -19  (b) s  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 5*l**3 + 3)*(-2*l + 2*l - l) + (l - l - 2*l)*(l**3 - l**3 - l**3) + l**4 + 0*l**4 - 6*l**4.\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*n**2 - 3 + 5*n - 2*n - 3*n to v*n**2 + q*n + z and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.9 in 16\/7, 0.1, 4, -3\/2, -0.15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 274*w**4 + 1 + 4*w**3 + 40*w**5 - 274*w**4 + (60*w**3 + 1290*w - 1290*w)*(-4 + 4 + 2*w**2).\nAnswer: 160*w**5 + 4*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*b**3 - 3*b**3 + 0*b**3 + 12*b**3.\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2 - 2*w - 1. Let h be i(2). Suppose -3*t + 0 - 12 = -3*a, 0 = -h*a + t + 4. Solve -o - 1 + 4 = a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12528 and 216.\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*x**3 - x**3 - 2*x**3 - 2*x + ((2 - 1 + 1)*(-2*x**3 + 0*x**2 + 0*x**2) + 3*x**3 - 2*x**3 + x**3)*(44 + 8 - 94).\nAnswer: 85*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9748.09 + -9748. Which is the nearest to 3\/8?  (a) -5  (b) q  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -3*p + 45. Calculate the common denominator of ((-464)\/36)\/(6\/p) and -93\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 104514280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9995 + 10014. What is the highest common divisor of 7239 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -634 + 2576. List the prime factors of i.\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -84 - 28. Does 8 divide x\/35*1*-40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/23220 and 31\/1342440?\nAnswer: 57724920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/6337 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 6) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 183 and 186.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 6*m + 0*m**2 + 2*m**2 - 3 - m**2 - 2*m**2. Let v be t(5). Suppose -w = -2*i, 0 = -0*i - v*i + 4. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.72 in 0.1, 1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 + 5963*q + 23851. What is b(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p**2 + 4*p + 2*p**2 + p**2. Let f = 11 + -11. Let k be -5 + 1 + f\/2. Calculate h(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -720*h**3 + 311*h**2 wrt h.\nAnswer: -4320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 145 = -5*y. Suppose n - 24 + y = 0. Let g be (-99)\/15 - 4\/10. Which is bigger: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0779 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104618 = -3500*m - 1444 + 9583 + 83243 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 286 - 47 - 136 - 145*u - 53 - 50.\nAnswer: -145*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 1382857*l + 143. Let k be t(1). What is k rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 804517 to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/((a\/(a*a**(-1\/4)\/a*a*a)*a)\/a))**(-3))**13 assuming a is positive.\nAnswer: a**(-273\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 459*p - 1387. Determine t(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, l: 3, t: 3, d: 1, f: 1}. What is prob of picking 1 f and 3 t?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 3664.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 12842*m + 25822. What is z(-2)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1527*7.\nAnswer: -10689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of -9*l**5\/10 + l**4\/6 - 7*l**3\/6 - l**2 + l. Find the second derivative of h(v) wrt v.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + n + 7933, 0 = 3*a + 4*n + 1886 - 13802. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.63901 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11310?\nAnswer: 2, 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 24*f - 59*f - 31*f - 858 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 67*1*5\/(-105)*-9*(-301)\/(-129)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 4*i + 27 - 27 - 2*i. Let g(u) = 60*u**2 + u. Give g(l(n)).\nAnswer: 240*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 44196847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 + 4*z - 2. Let x be -3*(-1 + (-5 - -2) + 3). Let g be i(x). Suppose -g = m - 9. Calculate the lowest common multiple of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 2*l - 3*j, -3*j + 166 = 4*l - j. Which is smaller: 38 or l?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 + 3650276*p - 3650272.\nAnswer: -4*(p - 912568)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/7  (b) 0.5  (c) -8\/9253  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 86669 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 30 = -4*m. Let x(z) = z + 1. Let q(i) = 3*i + 15. Let f(l) = m*x(l) + q(l). Suppose -10*u - 28 = -14*u. Determine f(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 9. Is 66 - (0 - (2 + i)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 0*q = -36. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5392 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - ((0 - -3) + -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8\/23 + 6\/115. Which is the third smallest value?  (a) -0.27  (b) 2  (c) g  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -101855.76 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*w - 8. Solve -3 = -w*k - 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 7*h - 38. Let p be t(6). Which is greater: p or 30\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1c82c7 (base 14) to base 13\nAnswer: 299b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.108 - -0.108. Let z(f) = -f - 4. Let t be z(-3). Let y = 51 - 51.1. What is the closest to y in t, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -4. Suppose v - 95 = 4*y, m*y - 260 - 149 = -5*v. Suppose -2*l = -l - v. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 9360632952 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 20. Suppose 0 = 4*h, -3*n + 2*h + h = 0. Let l be n + 0 + (2 - -10). Calculate the highest common factor of u and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fxxjxxxjxjxxfxfj. Give prob of picking 2 f.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 2*j = -18, a + 4*j = 5*a - 4. Let c(q) = -a*q + 4 + 0*q + q - q. Determine c(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 312\/(-182) - (-4 - (0 + -2)). Let t = 6 + -4. Which is the nearest to t?  (a) -3  (b) o  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7653 is divided by 67?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, b: 1, y: 2, f: 1, p: 1, n: 1}. Give prob of picking 1 n and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 395 = 4*n + 3. Suppose n = -2*u + 540. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*t = 4*h - 216*t + 111*t + 146, 8*h + 4*t + 31 + 81 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -167\/1500 and -49\/1769625.\nAnswer: 7078500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12855896 and 3680.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of 2*i**3\/3 + 24. Let w(o) = -2*o**2. Determine z(w(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*h + 113*h = -56*h. Let a be (-4 + 28)\/(1 + -2). Let p be 2\/(-12) - 124\/a. Put 3, h, p in descending order.\nAnswer: p, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 136 + -133. Let b(v) = -92*v**2 + 91*v**2 + 3*v - x*v - 8. Give b(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 8*w**3 + 21*w**2 - 11*w + 3. Let d(n) = -21*n**3 - 61*n**2 + 32*n - 8. What is -3*d(v) - 8*l(v)?\nAnswer: -v**3 + 15*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 4:37 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6477714 + -1.8.\nAnswer: -6477715.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 0, -1, -0.3, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7295*o - 7300*o + 10 = -4*j, -4*o + j = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1821121062 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 22*a**2*d**2 - 243*a**2*d + 964566372*a**2 + 312*a*d**2 wrt d?\nAnswer: 44*a**2*d - 243*a**2 + 624*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17964 is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1199.974 to the nearest integer.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*(c*c**(3\/4))\/c*c)**(-2\/21))**9 assuming c is positive.\nAnswer: c**(-33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-7)*(-140)\/(-80)*12*(-2)\/270.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 5*x = -5, -2*x + 3*x - 11 = -4*f. Suppose -4*q = 23 - 7, -932 = -f*i + 3*q. Calculate the greatest common divisor of 20 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**3 + 8*h**2 + 3*h + 6. Let k(f) = -4*f**3 - 16*f**2 - 6*f - 12. Let l(g) = 3*k(g) + 5*o(g). Calculate the remainder when l(-4) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -65.47 and -5.\nAnswer: 327.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8377 + 1988 = 208*x + 2139 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 9*r**2 - 9*r + 176. Calculate v(-12).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9\/19440*18 - 1\/(-8). What is the nearest to 1 in -1\/3, 0.09, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3503, 3100, 2713, 2348, 2011?\nAnswer: 1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3607747 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of 3*w**5\/20 + w**4\/12 + w**2 - w. Let y(r) = 5*r**3 + r**2 + 3. Let q(p) = 7*i(p) - 4*y(p). Calculate q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i\/i**(4\/7)*i**12)\/(i**8\/i)**(-27))**(-39) assuming i is positive.\nAnswer: i**(-55536\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 379521997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((-4 + sqrt(1053)*2 - sqrt(1053)) + -1*sqrt(1053)*6) + 1 + 4*(sqrt(1053) + 2)*2)**2.\nAnswer: 918*sqrt(13) + 304326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, y: 3, o: 1}. What is prob of sequence oye?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(17) + -5 - sqrt(17)) + (sqrt(17) - ((sqrt(153) - (sqrt(153) + 0)) + sqrt(153))) - (sqrt(2057) + 0 + -1))**2.\nAnswer: 156*sqrt(17) + 2909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 10:31 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*f = 158 + 612. Calculate the highest common divisor of 56 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -36*-1*(-3)\/8*29148\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/3, -2\/3, -627, 211, -0.3?\nAnswer: -627","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v - 34 + 5*v - 10. Suppose 405 = 44*r - 299. Let x be i(r). Solve j + 5*c = x*j + 23, 25 = -5*j + 5*c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.9886 - 0.0114. Which is the fourth smallest value?  (a) -0.2  (b) g  (c) -0.3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*n - 24*n = -24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, o: 3, l: 4, w: 2, u: 3, k: 1}. Give prob of sequence wl.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4068 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/((-416)\/(-39)))\/(81\/312) - 3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64 (base 16) to base 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, -0.15, -3\/11?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (5 + (0 - 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.19297 and -1.8313.\nAnswer: -0.353385961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + -5 + 8 - ((-14 - 6) + -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**2 + 0*f**2 - f**3)*(-1 + 0 + 3*f - f + (-3 + 3 + 1)*(3*f - 4*f + 2*f)).\nAnswer: -3*f**4 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 18, 351295, -2\/21?\nAnswer: 351295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w**(-13)\/w*w))\/w*w*w\/w**16 assuming w is positive.\nAnswer: w**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 220 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 107 - 41 = 3*x + 51, -5*x - 55 = 5*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 2*g**2 + 3*g - 1. Let m be v(2). Suppose 0 = 4*f + k - 69, m*f - 8 = -k + 78. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -204211102 (base 5) in base 11?\nAnswer: -531224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 + 6*h + 7. Let y be t(7). Let v(o) = o**3 - o**2 + o. Let b be v(y). Suppose 79 = u - 3*a - 2*a, 5*u + 2*a - 314 = b. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -220 + 169. Is 1\/4 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 53 = -3*j + 34, -17 = -5*a + j. Suppose 5*q - 103 = -8. Put q, a, 0 in decreasing order.\nAnswer: q, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6392.5 + -6393. What is the third smallest value in -2, 2, s, -127?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of -y**4\/54 + 4*y**3\/27 - 5*y. Solve t(m) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*n - 13*n + 2*n + n to the form o*n + m and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = -2*k - 16, 2*v + k + 12 = 0. Let y = v - -8. Solve -4*u + 3 + 1 = y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -199 = -3*f - 4*l, -5*l + 3 = -2. Calculate the highest common factor of 715 and f.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 10*h**2 + 10*h - 2. Let j(b) = -11*b**2 - 11*b + 3. Determine 2*j(c) + 3*x(c).\nAnswer: 8*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 174*d**3 - 100*d**3 - 103*d**3 - 2*d**2 + d**2 + 2*d**2 + 2 in the form u*d**2 + j*d + v*d**3 + x and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uvv when three letters picked without replacement from {v: 6, w: 11, u: 1}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u + 3. Let h = -40 + 37. Let d(r) = 4. Let w(l) = h*d(l) + 4*k(l). Let q(y) be the first derivative of y**3\/3 - 1. Calculate w(q(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 41 - 80. List the prime factors of ((-4)\/(-6))\/((-1)\/u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 77.2 and -0.4351.\nAnswer: -33.58972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 55\/6 of a week?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 5.08. Let t = -1.02 - -4.02. What is the smallest value in t, n, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 5*q + 34 = -21*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 40539667769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 + 1. Let j(b) = -147*b**3 + 105. Give -315*h(n) + 3*j(n).\nAnswer: -126*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 12 = 2*s - 4*n, -3*s = 2*n - 7. Let d = 165 + 375. Let p be d\/105 - (-5)\/(-35). What is the nearest to s in 0.2, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 129 - 39 = 12*l, 0 = -5*s + 3*l + 59 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p**3 + 5*p**3 - 4*p**3)*(-31*p**2 + 28*p - 28*p).\nAnswer: -31*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 768 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -34.033 + 34. Let n = 20.033 + b. Let t = n + -20.3. What is the third smallest value in t, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/(-3))\/(2\/6). Let u(j) be the second derivative of j**5\/5 - j**4\/4 + j**3\/3 + j**2 + j + 2. What is the tens digit of u(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.07 in 5, 1\/7, 0.017?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 55 and 290.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5539, -10841, -16145, -21451?\nAnswer: -26759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 128921 to the power of 1\/2, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 480375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12394*1.45.\nAnswer: 17971.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n - 97. Let l be b(0). Let a = -87 - l. Is 47\/5 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -5*u - 9 - u**2 + 6*u + 2*u + 4*u. Let w be s(4). List the prime factors of 51\/(w - 9\/6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 12 = -4*o, o + 3*d + 12 = -0*o. Let y(x) = -4*x**2 + 3*x**2 - 3 + 2*x**2 - 4 + x. Give y(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -267 = -2*i + 157. Let p = -198 + i. Calculate the remainder when 20 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1095*b = -1109*b. Solve 25*v - 8*v - 68 = b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9668024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 + 9*m**2 - 4*m + 13. Let y be u(9). Let x(b) = -4*b - 88. Let l be x(y). What is the highest common divisor of 8 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49664?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*f**2 + f**3 - 32*f**2 + 22*f**2 - 14*f**3 + 11 as s*f**2 + j + i*f**3 + h*f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j**5 - 24*j**4 + 64*j**3 + 424*j**2 - 60*j - 400 = 0 for j.\nAnswer: -5, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1225 + -817. Let c = 452 + g. Let z be (8\/(-6))\/((c\/(-6))\/5). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -174000 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*w = 12*w + 6*n - 5*n + 20, 2*n - 8 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5\/3, 4\/13, 0.52, -2\/7?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -43 - -46 - (0 + 0 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 14*s + 72. Let c be l(-5). Solve -c*r + 22 = -4*g, -3*r - 4*g = -1 + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of b**6\/45 + 16*b**3\/3 + 14*b**2. Let o(c) be the first derivative of a(c). Let m(t) = -5*t. Give o(m(j)).\nAnswer: 200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x + 4*x**2 - 3*x**2 + 27376*x**4 + 2*x**3 - 27348*x**4 + 11 to the form r*x**4 + g*x + d + i*x**3 + f*x**2 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**4\/3 + 274*p**3\/3 + 4374*p**2 + 267350*p\/3 + 1982500\/3 = 0.\nAnswer: -61, -26, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {g: 5, n: 3, f: 4, z: 1, c: 1, w: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 11*c. Let x(n) = 27*n. Let b = -100 + 88. Let p(g) = b*m(g) + 5*x(g). Let l(a) = a - 1. Let h(k) = 5. Let j(r) = h(r) + 5*l(r). Determine p(j(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.8 + -1.7. Let z = -39 - -44. Let l = q + z. Which is the third smallest value?  (a) 2  (b) 5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49a281 (base 13) to base 5\nAnswer: 422432014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 + 17. Suppose 57 = d - 3*y, 2*y - 38 = -d - 6. What is the highest common divisor of d and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6124 + 8230. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxk when three letters picked without replacement from dgzdxpkx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3239946 and 2700?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15794 is divided by 1927.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.10364 times -31?\nAnswer: -34.21284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 288\/(-24)*((-2)\/3)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -9 (base 10) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.078 - -0.578. Sort -1, b, -0.4, 6 in decreasing order.\nAnswer: 6, b, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 15 = -4*m. Suppose m*n + n = 0. Suppose 5*t + 2 = u, -t = -n*t. Solve u*g = -0*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-6)\/(u*u**(-1\/5))*(u**(1\/2))**3)\/(u**(-4)*u*u\/u**(2\/13)*(u*(u\/((u**(-2\/5)*u)\/u)*u)\/u)\/(u**(2\/5)*u)) assuming u is positive.\nAnswer: u**(-539\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/((-4290)\/416) + (-2 - (-8)\/6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4344 divided by -400?\nAnswer: 543\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7\/25 or -1?\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 0)\/(-4)*(-8 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6084229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 + 20. Suppose 5*a + 3 = w. Solve 24 = 5*k - a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1097, -3, -1, -36, 2 in increasing order.\nAnswer: -36, -3, -1, 2, 5, 1097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 + -6. Let s(o) = -o**3 + o**2 + o + 11. Let r be s(0). Suppose x = r + 5. Calculate the smallest common multiple of p and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 108 in 2.4, -11, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 5*q + 224 = 0. Suppose 2*v + 3*v = -5*z + 65, 4*v + 5*z - q = 0. What is the remainder when 24 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*p**2 + p**2 - 3*p**2)*(-5 + 5 + 1) + (-4*p + 5*p + 0*p)*(-2*p - 2 + 2))*(-p**3 - 12*p**3 - 11*p**3).\nAnswer: 96*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 + 35 = 5*j + 2*b, -5*j - 11 = b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 + 10*s**2. Let z be j(-7). Let o = z - 106. What is the remainder when o is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppppppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 91 - 3*x + 9*x - 3*x - 5. List the prime factors of h(0).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 73117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-27))**(2\/91))**14 assuming b is positive.\nAnswer: b**(-108\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-6 - -2) + -5 - (78 - 72).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 6*u**2 - 5*u - 5. Let t be d(7). Suppose 3*c - 7 = b + t, -c + 2*b = -12. Solve -n - 2*s + 8 = 2, c*n = s - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 360 is divided by 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8253.84 - 8409. Let t = q + 122. Let u = t - -34. Round u to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1808207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/2*-3 - 170\/(-30). Find n, given that 0 - 10*n**3 - 2\/3*n - 26\/3*n**4 - v*n**5 - 14\/3*n**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 7:13 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 357791.\nAnswer: 7, 79, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 415, 420, 437, 472, 531?\n\"Answer: n**3 - 2*n + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((15\/10)\/(1\/2))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14 and 852.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2ba93 (base 12) in base 15?\nAnswer: 135a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14500860 is divided by 7250421?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 49911276*j**3*r + 4*j**2*r - 43*j**2 + 2*j*r + j - 2038 wrt j?\nAnswer: 299467656*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 3*c + 33. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 d when four letters picked without replacement from kvvkvvddvkkvddvdvk.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of z**4\/4 + z. Let a be (4 + -5)\/((-1)\/2). Let b(s) = s**2 + 0*s**a - 4*s**2 + 0*s**2. Determine b(v(y)).\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 2*z + 0*z)*(4*z + 3*z**2 - 4 + 3*z - 8*z).\nAnswer: 3*z**3 - z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + j + 1. Let s(o) = -3*o**2 + 5*o - 2. Let f(l) = 4*c(l) + s(l). Let t be f(-9). Solve t*q = -0*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2)*x\/(x*x*(x*x*x**(2\/19))\/x*x))\/(x\/(x*x**(-2\/5)\/x))**(4\/7) assuming x is positive.\nAnswer: x**(-561\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - (-22)\/(-18)) + (-40)\/(-18). Let f(u) = u**3 + 4*u**2 - 5*u + 2. Let p be f(-5). Suppose -b = -a + p. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44 divided by -270.\nAnswer: -22\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -10*s + 3. Let q(n) be the third derivative of 11*n**5\/20 - 2*n**2 + 2*n - 110. Give y(q(w)).\nAnswer: -330*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 3  (c) 2\/7  (d) 69593\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 370 + -48. List the prime factors of k.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-470)\/(-1034)*((-5)\/(-5))\/30*4\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -4. Suppose o*r - 10 = 3*r. What is the units digit of (-18)\/r + 4\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/2 + 30521*n\/2 + 2701336.\nAnswer: -(n - 30697)*(n + 176)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -20932\/185 and -11.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 412 + -438. Let s be 1\/(3\/9)*g\/(-78). Let k be 0\/(-2) + 1\/(-3). Which is the third biggest value?  (a) s  (b) k  (c) -2  (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 16*s + 8. Let g(k) = k**3 - 7*k**2 + 8*k - 5. Let z be g(6). Let o be n(z). Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5 + 6 + (-3)\/1 - -2. Suppose -2*k + 26 = 2*v - y*k, -4*v + 34 = -2*k. Suppose -12 = -i - v. What is the remainder when 20 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*v = 20*v + 3. Let m(y) = -y**2 + 5*y - 3. Determine m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16493 = -951*x - 20619 - 30110 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-266 - -270)*(0 + 23\/4)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*y**4 + 21*y**3 - 6167*y wrt y.\nAnswer: -288*y**2 + 126*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + k - 2 = 4*q, -5*k = -q - 26. Let v be ((-14)\/6)\/(4\/k)*2. Let f be (-34)\/(-9) - 2\/(-9). Sort 0, v, f.\nAnswer: v, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gu when two letters picked without replacement from inunnuuniuiiiignn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c + 7 + 11*c + 2*c. Let u be k(5). Calculate the greatest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155479019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -13*l**3 - 4*l**3 - 3 - 4 - 8 wrt l?\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of v**4\/16 + 2*v**3 + 45*v**2\/8 + 11*v\/2 + 327. Determine z so that o(z) = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 1. Let h(q) = 9*q**2 - 222*q - 74. Let r be h(25). Let s(a) = 6*a**3 + 2*a**2 + 1. Determine r*s(i) - 2*c(i).\nAnswer: 6*i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -45*c**3 - 183630*c**2 + 244900*c - 81640 = 0.\nAnswer: -4082, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8634862 nanometers in centimeters?\nAnswer: 0.00000008634862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -7. Suppose 8 = t + 5*d, t + s*t - d = 40. Suppose 0 = -4*z + 80 + t. Solve -5*h + u = -20, 0 = 3*h - 4*h - 5*u - z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/13667976 and 221\/22779960.\nAnswer: 68339880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(150)\/sqrt(3))**2 + 5).\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 245 = h + 4*w, 463 = 2*h - 4*w + 3*w. Let x be 3 + 4\/(-12)*-687. Are x and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3\/136 - 689\/18904. Let i = -147\/556 - v. Let r = 2 - 3. Which is the fourth smallest value?  (a) 1\/6  (b) -0.5  (c) r  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -17*z - 26. Let a be j(-4). Suppose 21 = 9*y - a. Suppose 3*q + 212000 = y*q. Round q to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - u = -4. Let w be (-4)\/(-8) + 19\/u. Is 7\/((6\/w)\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -266 - 706 = -12*u. Suppose 73*h + 1016 = u*h. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p**2 + 1. Suppose 3*m = 5*y, 0 = -7*y + 3*y + 5*m - 13. Let l be (3\/(y\/2))\/(-2). What are the prime factors of o(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 6*q**2 + 2*q - 3. Suppose 4*x = 11*x - 21. Let y be x - (-9)\/(27\/12). Let m(g) = 11*g**2 + 3*g - 6. Give y*o(t) - 4*m(t).\nAnswer: -2*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 3*w + 45, -2*w - 236 = -5*t + 2*w. Calculate the least common multiple of 18 and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-80 + 78) - (-2 - (1 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 570 divide 1448940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-1)*o)**(-28)*(o**1)**38)\/((o*(o\/o**(-1\/7))\/o*o*o*o**(-1\/3))\/(((o\/(o**3*o))\/o)\/(o**(-4)*o))) assuming o is positive.\nAnswer: o**(130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 + w. Suppose 930*z = -3*h + 926*z - 27, -5*h + z = 22. Determine y(h).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/2*4\/2)\/(1400\/1400)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d = 3*d - 3*b - b + 20, 2*d + 220*b = 195*b + 254 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3201, -7218, -11245, -15288, -19353, -23446?\nAnswer: -27573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -20 - -156300?\nAnswer: 156250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 549090 divided by -3\nAnswer: -183030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 2*i + 9. Suppose 4*p + 12 = -8*t + i*t, -5*t + p + 3 = 0. Which is the closest to -2?  (a) t  (b) -0.01  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (630 - 608) + (0 - 7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.03 != 1\/162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 2*p - 54 = -4*r, 95 = -4*p - 5*r. Which is smaller: p or -23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42116.428 rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 1053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 204252459068 and -3?\nAnswer: 204252459071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -0.5, -2, -1447, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**2 - m + 47. Let n be z(6). Suppose i - 1 = a - 6, 0 = i + 3*a + n. Let q = -0.5 - -0.3. What is the nearest to -0.1 in q, 1, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, -5, 3, 4, -6, -1948 in descending order.\nAnswer: 4, 3, -1, -2, -5, -6, -1948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 6*u = -4*o + 174, 5*u - 25 = 0. Calculate the remainder when 77 is divided by o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - (-82 + 96 - (12 + -2)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11101 (base 3) to base 11.\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -27614, -27616, -27618, -27620, -27622, -27624?\n\"Answer: -2*q - 27612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 2*i + 2*u, 5*u = i - 4*i + 56. Let b be 4\/(-6)*(4 - i). Let f = 20 - b. Which is smaller: f or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -4*v**2. Let y(d) be the first derivative of 11*d**3\/3 - 142. Determine s(y(g)).\nAnswer: -484*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 71\/203 + -6\/29. Sort -3\/2, p, -0.4 in ascending order.\nAnswer: -3\/2, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 9, 26, 53, 90?\n\"Answer: 5*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(-15) + (-34)\/(-3). Suppose -6*g = -x*g + 75. Solve -3*i + 4*f = g, 5*i - 4*f - f = -25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8 - -6) + 13 + -6. Solve -11 = z*t - 4*f + f, -4*t - 3*f = 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 + -11. Let n = -109 + 109.2. Which is the biggest value?  (a) k  (b) n  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/126631 and 15\/4?\nAnswer: 506524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11211393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1 + (-9)\/(-2))*4 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24904\/(-1415))\/((-4)\/5).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -535*k + 68*k = 607*k - 144*k + 38130 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 z, and 1 w when three letters picked without replacement from gwzwwzwgwzzzw.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 + 12*h - 4. Let r be x(6). Let m = 34 - r. Solve -3*k - 1 = m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 110806 and 1530.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - 3. Let d(l) = 4*l**2 - 29*l + 1. Let n be d(10). Suppose x = n - a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-7)*(-42)\/6. Let o(b) = -b**3 + 7*b**2 + 2*b + 8. Let m be o(j). What is the greatest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -6226, -13032, -19840, -26650?\n\"Answer: -u**2 - 6803*u + 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 + l**2 + l + 1. Let v(r) = -3*r**2 - r - 3. Let o(h) = 3*h**2 - 11*h - 2. Let k be o(7). Suppose 78*x = k*x + 10. Determine x*v(q) + 3*z(q).\nAnswer: 3*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12651848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 - 9*p**2 + 22*p + 23. Let v be l(-11). Let x be ((-46)\/(-4))\/(3\/6). Calculate the highest common divisor of x and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 26117 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1145 - -1?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -8.0195629?\nAnswer: -2.40586887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 21*r + 6. Let v(x) = -20*x + 2. Let c(q) = 123*q - 11. Let u(k) = -c(k) - 6*v(k). Calculate 4*d(w) + 27*u(w).\nAnswer: 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 + 0*c**2 + 0*c**2)*(c - 1 + 1)*(762 - 762 - 48*c) + (3*c**2 - 2*c**2 - 2*c**2)*(1 - 1 - 2*c**2).\nAnswer: 50*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -9*g**3\/2 + 42087*g**2 + 103720749*g\/2 + 17282115 = 0.\nAnswer: -1102, -1\/3, 10455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/32 and 8\/((-528)\/(-351)) + (-1)\/2.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (51 - 35 - (3 + -5)) + -9 + (1 - 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 342 divided by -19\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -262 - -251 - (0 + -25).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -6*f**2 + 174*f - 966. Give s(22).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*m + 4*q - 8, -m + 5*q + 15 = 0. Suppose -4*t = x - 15, -2*t + 4 = -x - m. Suppose t*b - 292 = -0*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 - -15. Let a be l\/((-45)\/(-24))*3. What is the highest common divisor of a and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8412 + 8412.358. What is the third biggest value in 0.3, -4, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 561575145 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 22 = -5*g + 20, 4*g + 2*d = 34. Let i(s) = 28*s. What is the remainder when i(1) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3297, 3291, 3283, 3273, 3261, 3247, 3231?\nAnswer: 3213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23239 is divided by 381?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22 - -7. Let n = x + 14.55. Let g = n - 0.05. Which is the second biggest value?  (a) 0.5  (b) g  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/40)\/((-6)\/15)*(-216)\/(-162)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16873296.\nAnswer: 2, 3, 11, 31957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 5*x + 4. Let a be f(-2). Let p(g) = g**3 + 6*g**2 - 5*g - 2. What is the tens digit of p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3293 - -1.2393. Which is the nearest to -2\/9?  (a) 8\/7  (b) 2\/7  (c) o  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/8 and -2\/297.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 - 5*r**2 + r + 6. Suppose 4*k = z + 21 - 1, 15 = 3*k - 5*z. What is u(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 47*p - 33. What is the tens digit of m(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of -2\/15*v**5 - 1\/30*v**6 + 0*v + v**2 + 1\/6*v**4 + 4\/3*v**3 + 0. Solve d(k) = 0 for k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-15) + 234\/(-270)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 - 7*m**2 - 3*m - 22. Let p be r(-7). Do 6\/403 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 - 4)*1*1 + 1. Solve -t + n = -z*n, -4*t - 3*n + 28 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -37?  (a) 7  (b) 5  (c) 1  (d) -45436  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h - 1. Let k(q) = -5*q - 165. Determine -k(y) + 6*x(y).\nAnswer: 17*y + 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of 0 + 2*w**4 + 1\/15*w**6 + 0*w + 3\/5*w**5 + 8\/3*w**3 + 61*w**2. Let n(l) = 0. Calculate l.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 122100?\nAnswer: 366300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -248\/127 or -2?\nAnswer: -248\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**4 - 2*m**4 - 2*m**4)*((-2 - 1 + 5)*(6 + 5 - 4) - 2 + 1 - 1).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from bmbmsubmbfbsbbmm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, -3, -2 in decreasing order.\nAnswer: 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 16006209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5 + -6 + -6 - -1 - -122 is divided by 93.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 404 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - -8 - ((1 - -1) + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 913.3554 years to centuries.\nAnswer: 9.133554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (22\/(-33))\/(10\/(-45)). What is i in -2\/3*i**q - 2\/3*i - 7\/3*i**2 + 1 = 0?\nAnswer: -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -89\/3 - -30. Let o = 67 - 68. Let z = 0.03 - 4.03. What is the closest to 0 in q, o, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 95481227*p**4 + 115888934 wrt p.\nAnswer: 381924908*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 0 = -4*g - 5, -b = g + 3. Let p = 31 + -32.6. Let c = p + 4.6. What is the closest to 0 in 0.05, b, c?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-4 - 2485\/(-165) - 8).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -35 - -9860b3?\nAnswer: 98607b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, v: 10}. Give prob of picking 2 s and 1 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/627790 or 0?\nAnswer: -1\/627790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8056697?\nAnswer: 11, 61, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 60 = -6*i. Suppose -12 = -7*p + i. Let k(g) = 40*g**2 + 3*g - 17. Is k(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + -1. Suppose 52*n + 20 + 88 = 4. Let z(x) = 41*x**2 - 26. Let r(i) = -i**2 - 1. Let o(c) = a*z(c) + n*r(c). Differentiate o(s) with respect to s.\nAnswer: -78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 28\/96) + 2\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 6. Suppose 3*v - 13 = -5*l + 5*v, 5*v - 14 = -d*l. Let h(i) = 3*i + 3. Let y be h(4). Solve 4*q + y = l*k, k - 3*k - 4*q = -10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*p**3 + 41*p**3 + 2*p - 2*p + 0*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.1 and -76537906?\nAnswer: 76537906.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -878, -1753, -2648, -3569, -4522?\n\"Answer: -a**3 - 4*a**2 - 856*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102)*-1*-5 - (-6*2*sqrt(102) + sqrt(102)))\/((sqrt(288)\/(-2*sqrt(8)))\/(-2*sqrt(726))).\nAnswer: 704*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -20, -38, -66, -110, -176, -270?\n\"Answer: -t**3 + t**2 - 14*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c - 2*c + 5*c)*(-9 + 5 - 12) - 2*c + 4*c + 8*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 767994076?\nAnswer: 2, 79, 727, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -530, -1051, -1572, -2093?\n\"Answer: -521*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p - 6. Let r(j) = 28*j + 17. Let x(n) = -3*q(n) - r(n). Let o(d) = 23*d - 1. What is -4*o(s) - 5*x(s)?\nAnswer: 18*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 228443008?\nAnswer: 2, 17, 277, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 340 and 11237.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 55*z - 30. Calculate the remainder when j(44) is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42311 (base 5) to base 9\nAnswer: 3785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that g**2 - 1256*g + 394384 = 0.\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, -59, -194, -455, -884, -1523, -2414, -3599?\nAnswer: -5120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3189 - -3357. Let p = 27333876.00073 - 27334044. Let z = g + p. Round z to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1689 or 1690?\nAnswer: 1690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 142 divided by 7998\nAnswer: 71\/3999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126844610.\nAnswer: 2, 5, 643, 19727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30403, -60814, -91225, -121636, -152047, -182458?\nAnswer: -212869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w, -6*w - 12 = 4*c - 9*w. Let i be (4\/(-50))\/((-2)\/10). What is the nearest to -1 in c, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**4 - 4*b**3 + 3303*b**2 - b - 105.\nAnswer: -24*b**2 - 24*b + 6606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-13\/7)*(w**6*w)\/w*(w\/w**(-15)*w*w)**(-7\/2) assuming w is positive.\nAnswer: w**(-412\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from goohocghommcogmmo. What is prob of sequence hg?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-2))\/(3\/834). Let y = 988\/7 - q. Let d = -4118 - -45259\/11. Calculate the common denominator of y and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6, 1, 3638?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 22*q**5 + 4349457*q**3 + 6336*q**2 + 2*q + 6492.\nAnswer: 1320*q**2 + 26096742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -9*d**2 + d. Let p be h(1). Let i be p\/(3*2\/(-33)). Let q = -14 - -25. What is the greatest common factor of i and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of (-10 + (-1677)\/(-24))*(-14 + 22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 145, 297, 449?\n\"Answer: 152*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19.4 + -117.4. Let x = -98.3 - m. What is the second biggest value in x, 0.2, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 1 = -7 + 1, -d = -m. Let h = -8 - -10. Suppose -h*o - 3*o = -25. Put m, 9, o, -4 in descending order.\nAnswer: 9, o, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of 1\/20*i**5 + 5*i**2 + 0*i**4 + 0 - 2\/3*i**3 + 0*i. What is the first derivative of h(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 293.3 and 0.494?\nAnswer: 144.8902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -60*j**4 + 4*j**2 wrt j.\nAnswer: -1440*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 91270 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -77137\/230 + 216\/115. Let a = t - -346. Is a bigger than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.3 and -1773501580604.\nAnswer: -1773501580603.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101459 - 101492 = 6*p - 203005 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**3 - 3*h**3 + 9*h**3 + (h + 5 + h - 4)*(0 - h**2 + 0).\nAnswer: 3*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1480*q - 26199 = 15241 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -2*sqrt(11) + 1*sqrt(1584).\nAnswer: 1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-44)\/(-374) - (-3 - (-3460)\/(-68)) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hqvuiih. What is prob of picking 1 u, 2 h, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppk when three letters picked without replacement from {o: 3, p: 4, y: 2, t: 1, k: 1, d: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11676?\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -972*h - 57*h = 2087*h + 294*h - 320540 for h.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 328 - 171. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5\/4?  (a) -25\/7  (b) 3432  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -280620, -561182, -841744, -1122306, -1402868, -1683430?\nAnswer: -1963992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g and 1 e when four letters picked without replacement from {e: 7, a: 1, g: 12}?\nAnswer: 308\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -14  (b) 11  (c) 0.03  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/16 and (-387)\/40 - (-6)\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47 = 11*n - 168 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27*c**2 + 332 - 332)*(-4 - 3 + 5 - 1).\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2020*x + 1845?\nAnswer: 2020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -4*s + 54, -2*s = 2*y - 17 - 1. What is the remainder when 64 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*f + 5*f + 3*f**2 + (-6*f + f + 0*f)*(-f + 3*f - f))*(-80 + 2 + 16 - 26).\nAnswer: 176*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - (-5 - 11 - -10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (42\/56)\/(2\/(-8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2691 + -2782. Is -92 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 9:23 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 845 + 58*a**3 + 35*a**2 - 35*a**2 - 57*a**3 to r*a**3 + s*a**2 + l*a + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1592, -1848, -2104, -2360, -2616?\nAnswer: -2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -7.546 and -10415354.\nAnswer: -10415361.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60370 and 12074.\nAnswer: 60370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) -4\/5  (c) 1  (d) -3  (e) -0.426\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1775 by -71.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -90439*d - 1899082. What is l(-21)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-6\/5)*g)\/g**(-4)*(g*g**(-2))\/g**(-2) assuming g is positive.\nAnswer: g**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {c: 6, r: 10, b: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7784, -30993, -69624, -123677, -193152, -278049?\nAnswer: -378368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 201 < 166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -6*f - 17. Is 5 a factor of c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.367 and -28\/19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2587 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23680769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**5 + 7*f**5 - 3*f**5 + (f**2 - f**2 + 2*f**2)*(f**3 - f**3 - f**3) - 2*f**5 + 5*f**5 + 4*f**5.\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 3*f**2 + 5*f + 12. Calculate the remainder when 95 is divided by s(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49 - 46 - (2 + -1 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6024 divided by -1506\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + l. Let n be p(-1). Suppose -w - 22 + 20 = n. Let y(a) = 3*a**2 + a + 1. Does 11 divide y(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55997 is divided by 2947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 - 2*v**2 + 3*v + 3. Let h be g(-3). Let j = -7274 + 7276. Suppose -j*x = -h*x. Which is smaller: x or 2\/27?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 199*s*x**3 + 34*s*x**2 + 2*s wrt x.\nAnswer: 1194*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 220179900?\nAnswer: 2, 3, 5, 127, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 9062.955 weeks?\nAnswer: 5481275184000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14 - -664204?\nAnswer: 664160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 650069*f**2. Let y(t) = -10*t**2. What is y(q(l))?\nAnswer: -4225897047610*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 - (-20 + (2 - (-7 - 1)) + 17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 + 0.1834.\nAnswer: -0.1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 831 - 4987\/6. Which is the second smallest value?  (a) k  (b) 1.19  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9344983.4 to the nearest one thousand.\nAnswer: -9345000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2652375 * -0.4.\nAnswer: 1060950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 2*u**2 - 4*u - 79. Calculate q(-11).\nAnswer: -1608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -243278760 divided by 81092920?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -174 + 89. Let z be g\/(-30) + (-4)\/2. Let r be ((1 - 6)\/35)\/(8\/(-14)). Which is the biggest value?  (a) r  (b) 0.3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of 1363*r**4\/4 - 2992*r**2 - 470. What is the second derivative of m(j) wrt j?\nAnswer: 8178*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5315308381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 183*f**2 - f - 5. Suppose -11*v + 62 - 7 = 0. Suppose -t + 5 = -x, 6 = v*x + 2*t + 24. Is i(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -1. Suppose -m + 3 + 0 = d. Let h(v) = v**2 - 15*v + 22. Let w be h(14). Solve m*g = -g + w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 + 18. Suppose -2*y = -3*z + 40, -4*z - x*y + 84 = -2*y. Calculate the highest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 17*q**2. Suppose 27 = 4*h + 5*z, -z = -h + 4*z + 13. Let f(i) = -i**2 - 2*i**2 - h*i**2 + 10*i**2. Calculate f(o(g)).\nAnswer: -289*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.1 and 501567.66173?\nAnswer: 501567.76173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 7*j - 14. Let b be v(14). Is b\/16 + (-2)\/8 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -221*w + 779*w + 14508 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 5 = -y + 5*t, 2*t = 4*y - 14. Suppose 4*i = 2*i - 4*p + 6, -y*i - 4*p = -8. Is -1\/58 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/1113660 and 31\/4008?\nAnswer: 371962440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 382 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 303603 divided by 6.\nAnswer: 101201\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - -15. Suppose -4*f + 3*y - 4 = 0, 2*f = -0*y - y + v. Let o be (f\/(-1))\/(3 + -5). Solve d = 2 + o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3\/7 + 44*c**2\/7 + 82*c\/7 + 40\/7.\nAnswer: 2*(c + 1)**2*(c + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1921 is divided by 317?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of 0*k**2 + 10*k**4 - 2\/3*k**3 - 60 + 2*k. What is the third derivative of w(p) wrt p?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.800209ng in kilograms?\nAnswer: 0.000000000003800209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.324 greater than 192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + 3 + (-8 - -4). Suppose -6*f + 10*f - 3148 = j. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430774 divided by 430774?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1009*y + 3428 - 73049 = 0 for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 49400602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -281e1 (base 16) to base 14.\nAnswer: -43c53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = 63*y - 61*y + 4, 0 = v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 147 - 214 - 913*v + 87 in the form f + i*v and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 473622781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/2)\/((-4)\/80). Let g be a*(-1)\/6*3. Suppose l + 4000000 = g*l. Round l to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -237823, -475646, -713469, -951292?\n\"Answer: -237823*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2660 = 16*z + 8716. Let c = 1052 + z. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53134069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 + 11. Let p(s) = 5*s + 10. Let j(t) = -6*t - 12. Let i(k) = 4*j(k) + 5*p(k). Calculate i(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mwmm when four letters picked without replacement from {m: 4, w: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -180*b = -21*b + 6201 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of -5\/9*u**3 - 5\/36*u**4 + 0 - 5\/6*u**2 - 11*u. Factor z(x).\nAnswer: -5*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(2\/3)\/o**(-19)*o\/(o\/o**(2\/53))*o\/o**(-5\/7) assuming o is positive.\nAnswer: o**(23839\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*u - 22 = 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 174097331?\nAnswer: 3391, 51341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - -2102?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - -1) + (-23 - -35 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + 2*u + (4 - 10 - 6)*(-1 + 4*u + 1) + (0 + 0 + 2)*(-2*u + u - u) + 3 - 3 + 6*u.\nAnswer: -44*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 320*v**3 - 787*v**3 + 343*v**3 + (4*v + 4*v - 7*v)*(5*v**2 - 2*v**2 + 0*v**2).\nAnswer: -121*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 37 - (-35 - -84) - (0 - -46)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 + 3*n. Let k(p) = 2*p**2 + 5*p. Let u(a) = -4*k(a) + 7*z(a). What is u(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 380223 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2453*f*j**4 + 90050745*f - 6148*j**4 with respect to j.\nAnswer: -9812*f*j**3 - 24592*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 7415237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 489.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-104)\/6 + 15).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -43 + 41.69. Let j = k - -1.61. What is the third smallest value in 0.7, j, 0, -6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011101000000101110110 - 101?\nAnswer: -1011101000000101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*g - 104*g + 180 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -45 != -1056\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152*j = -83*j - 82*j - 78 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5976, -12493, -19006, -25515?\n\"Answer: 2*s**2 - 6523*s + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 1 = 31. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 9:12 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/(-5))\/(11\/(-55)). Let z be (-1)\/k - 5\/(-90). Let d = 386 + -1936\/5. Which is the third biggest value?  (a) d  (b) 4  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61 = -3*f + 12890*b - 12886*b, -93 = -5*f - 2*b for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 20 = 2*q, -3 = 5*q + 3*d + 9. Suppose -3*l + 3*b + 924 = q, -3*l - 320 = -4*l + 4*b. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -171476, -337282, -503088?\nAnswer: -668894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*h**2 - 2046547 + 58*h**2 + 2046547 - 8*h**2.\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -16. Let g = -0.8 - -0.1. Let r = 0.8 + g. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 398419\/3024902 - 4\/5581. Find the common denominator of t and 67\/9.\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 219 = 39. What is b rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 49 + -43. Find the third derivative of -252*g - 76*g**2 + 252*g + 15*g**o + g**4 wrt g.\nAnswer: 1800*g**3 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 531244.6cm in nanometers?\nAnswer: 5312446000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17094716?\nAnswer: 2, 4273679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 1101223132?\nAnswer: 1101223200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-0.3.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c - 15 = -114. Suppose -c*t + 7490 = 3*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.12 + 0.68. Let n = f - 0.8. Which is the smallest value?  (a) n  (b) 1  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/(-3))\/((-1)\/6). Let m(f) = -f**2 + 13*f - 6. Let r be m(12). Let u = r - d. Solve 0*n + 3*n + u*t = -5, -n - 2*t = 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 2*w + 1648, 10*w + 988 = 3*t + 9*w. Calculate the greatest common factor of 24 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 484 (base 13) to base 15\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.46 + -0.752. Let p = 145.708 - w. Let v = p + -146.000000402. What is v rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 567 and 895797?\nAnswer: 8062173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 285 is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 4:59 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -1061531.195 to the nearest one thousand.\nAnswer: -1062000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o - 124 - 129 + 286.\nAnswer: o + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 PM and 12:22 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/5 in -5, -2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 + 6*r**2 + 5*r. Let v be p(-4). Suppose -4*q - u = q - v, -5*q + 20 = 5*u. Let a be (0\/(-2))\/(3 - q). Put -8, 4, a in descending order.\nAnswer: 4, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 697489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 268853316?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 429414431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 766 + -469. Suppose 292*u - l*u = -50. Solve -4 = -3*i - u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2084656*f**3 + 1042361*f**3 + 1042296*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**3 + z**2 - z. Suppose 3*c - 23 = 2*q, 283*q = 280*q - c - 7. Let h(d) = d**2 - 3*d + 0*d**2 + d + d**3 + 2*d**3. Determine q*f(b) + 3*h(b).\nAnswer: b**3 - b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*a**(-5\/2))*a**(8\/3))\/(a\/a**(8\/7)*a\/(a\/(a\/(a\/a**(-1\/7))))))**(3\/26) assuming a is positive.\nAnswer: a**(229\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 9\/16 of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 6) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1665 - 487 = -7904*q + 7935*q for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 506 less than or equal to 586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 2416308271\nAnswer: 2416308263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/52  (b) 42  (c) -5  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = 43*t - 16*t. Let f be (2 + -7)\/10*-2. Sort f, 17, t in descending order.\nAnswer: 17, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -891.9999571 - -892. What is f rounded to 6 dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -103 + 43?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 179 + -168. Suppose c = -k + 6, -2*k + j = k - 4*c. Solve -7*o - 5*n = -2*o, o + 20 = -k*n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2815.3 - -3062. Round o to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3027798780 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-8) + (-691)\/(-8). Let u = 91 - f. Solve 0*z - 15 = u*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.045  (b) 0  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.545 - -0.445. Let y = -263\/3 + 2899\/33. Which is the closest to l?  (a) -0.3  (b) -3\/5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*u**3 + 46*u**3 - 28*u**3 + (-2*u + 2 - 2)*(0*u**2 + u**2 - 3*u**2))*(9 - 2 + 0).\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 25, -2, 22, -5, 16, -1.\nAnswer: -6, -5, -2, -1, 16, 22, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 6, y: 4}. What is prob of picking 2 h and 2 y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 6:46 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17.9 + 18. Let z = b + -0.09944. Round z to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 * 0.733544\nAnswer: 8.068984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = -r + 18, -5*r + 10 + 4 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-154)\/(-4) + 1\/(-2). Suppose -b = -3*b - r + 18, -3*r + a = 4*b. Let j = b + -5. Solve -3 = -2*l + j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4359 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ykmiikg. Give prob of picking 2 k, 1 g, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 - 7*l**2 + l + 3. Let v be m(-7). Let b(o) = -2*o - 1. Let x(t) be the first derivative of -t**2\/2 - 893. Give v*x(s) + b(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -k - 4*k. Let u(i) = 42*i + 4. Let l be u(k). Suppose l = 5*d - d. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -4*q - 2*q. Solve -4*u + 2*m + 20 = 0, 0*u = u + 4*m + q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 755 and -0.536866552?\nAnswer: 755.536866552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, j: 1, v: 1, x: 2, z: 1}. Give prob of sequence mm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -d - 2*d + 3*d + 4 + 7*d**3 wrt d.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -361*m - 2163. Let u be t(-6). Solve 4*d = -0*s - 2*s - 10, -5 = u*d + s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1199 - 2325 = 563*b. Let l = 0 + 0.2. What is the closest to -1\/5 in l, b, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3814.3 - -1.4797?\nAnswer: -3812.8203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 39*t**5 - t**3 + 1301*t wrt t?\nAnswer: 780*t**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h - 6*h - 9*h)*(-h**3 + 2*h**3 + 5*h**3 + (-2 - 1 + 5)*(0 + h**3 + 0)).\nAnswer: -104*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 - (6 + (-19 - (-38 - -27 - (0 - 2))))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*g + 13*g + 16*g - 46*g in the form q*g + h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/(-12)*-69)\/(1\/2). Sort 4, s, 1 in decreasing order.\nAnswer: 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 5*w**3 + 1 - 27*w**2 + w + 60*w**2 - 30*w**2. Let d(z) = 6*z**3 + 4*z**2 + 2*z + 2. Let j be (0 + -1)*(-2 - 1). Calculate j*d(s) - 4*p(s).\nAnswer: -2*s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -196 divided by 6?\nAnswer: -98\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*k**2 - 5*k + 5*k)*(-693*k + 239*k + 195*k) as h + z*k + d*k**2 + r*k**3 and give r.\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c + 20 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 4:15 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 754692041 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: Solve 2*m = -2*u + 12, -6*u + 4*m - 136 = -162 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -333 + -1?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1012113323301 - 3?\nAnswer: -1012113323310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 126 and 12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.8  (b) 1897  (c) -3\/5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 - -14. Suppose 0 = 5*u + 10, -z*y + 4*u = -330 - 158. Suppose 4*j - p - 160 = -j, -y = -3*j + 5*p. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 92 divided by 5\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 + 16. Let x = 261 + -2869\/11. Let t = -13 + 12.8. Which is the second smallest value?  (a) q  (b) t  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -2*k, 3*k = 5*j - 2*k + 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -75 by -2.\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 9 = -0*b + 3*j, 4*b - 18 = -3*j. Suppose 40 = b*p - p. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**2\/x)**(3\/2)*x\/((x*x\/(x*x**(-3)))\/x)*x*x*x*x\/(x**(-2\/11)*x))\/((x\/x**1)\/x**4)**(-47) assuming x is positive.\nAnswer: x**(-4077\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -3*r - 90612, 5*n - 71761 + 222753 = 2*r. Round n to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -14*l**5\/17 - 7058*l**4\/17 - 56798*l**3\/17 - 126158*l**2\/17 - 86324*l\/17 - 9920\/17 = 0.\nAnswer: -496, -5, -2, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -1) + (8 - (19 - 13)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 + 85*w + 939. Give c(-72).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 + 0*m**2 + 4*m**4)*(4 - 4 - 2*m)*(-563 + 105 - 121).\nAnswer: 4632*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(6 - (-11)\/22*-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 2*s**3\/9 - 1774*s**2\/3 - 10652*s\/9 = 0.\nAnswer: -2, 0, 2663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 70136*q**5\/3 - 29266*q**4 - 262850*q**3\/3 + 351160*q**2\/3 - 23592*q + 128\/3 = 0. What is q?\nAnswer: -2, 16\/8767, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84721368.\nAnswer: 2, 3, 131, 26947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jvwtjwgkwjwtw. Give prob of picking 2 g, 1 k, and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 43221736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -0*r + 4*r. Sort -5, -2, -1, r in descending order.\nAnswer: r, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 64 = 6*z. Let v = z + -18. Let a be (1\/(-6))\/(3 + v). Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 228525 by 5.\nAnswer: 45705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 4*w + 3. Let x be (-1 - w)*(12 - 14). Suppose 17*g - 22*g + x = 0. Solve -4 = g*p - 0*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.04 + 0.56. Let j = l + 0.4. Let s = 0.6 - j. What is the smallest value in s, 2, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 2*c + 16 - 5, -4*s - 5*c = 16. What is the derivative of 3*n**3 - 5*n**2 + s + 5*n**2 + 2 wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**2*n)\/n)\/n**3)**(-1\/35)*n*n**(-1\/3)*(n**(1\/4)*n)\/n*(n\/(n*n**(-1\/4))*n)**(2\/11) assuming n is positive.\nAnswer: n**(5417\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -86.88*-0.08\nAnswer: 6.9504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 42*d**2 + 33*d**2 + 33*d**2 - 105*d**2. Let w(a) = a**2 + 3*a + 3. Let j(k) = -2*k**2 - 5*k - 5. Let u(v) = 3*j(v) + 5*w(v). Determine f(u(b)).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-88)\/7 + (-51)\/119. Let m = 16 + h. Let b(j) = j**2 - j + 3. Let s(q) = 2*q - 7 + 4*q**2 + 2 - 5*q**2. Determine m*s(l) + 5*b(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*o + 7*o + 106 - 51 - 55.\nAnswer: 38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 369 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1159337 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3167325540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -l + 29611, -844*l - 4*d - 118424 = -848*l. Is l a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 879*v + 292. Is u(9) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -12449  (b) 2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o + 319 = 297. Sort 5, -36, o.\nAnswer: -36, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 30, 25, 4, -39, -110?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 15 + (1 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 39449315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 584\/(-6) - (0 + 8\/12). Put 1, 8, f in increasing order.\nAnswer: f, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 990.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*h = -20*h - 136. Suppose 0 = -h*d + 26*d - 2304. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26\/234)\/((-2220)\/(-360))?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28183538 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2\/7)*p)**(-6)\/(p*p**(-2\/5)*p\/p**(-2\/11)*p))\/((p*p*p**(2\/7)*p*p)**22\/(p\/(p*p**(-1)))**9) assuming p is positive.\nAnswer: p**(-35556\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 AM and 4:53 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12415 - 11259. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccg when three letters picked without replacement from {g: 15, c: 3}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 669 from 0.024.\nAnswer: -668.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 112 + -107. Let s = l - 5.00164. What is s rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -h**2*s**2 + 37*h*s**3 + h + 242*s**3 wrt h?\nAnswer: -2*h*s**2 + 37*s**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -11*h - 142. Let i be x(-14). Let m be 51\/36 + i\/(-16). Let g = 0.2 + -0.2. Is g greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + 6)*(2 - 1). Suppose -1 = -3*n - 4*a + z, -2*a + 8 = 4*n. List the prime factors of 44\/3 - n\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (-2 - -8 - 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 204 divide 38727156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1315932 - -1024.19411?\nAnswer: 1316956.19411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of -3*g**4\/40 - 32*g**3\/15 - 7*g**2\/5 + 2*g - 32. Solve a(f) = 0 for f.\nAnswer: -14, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124722.8mg in micrograms?\nAnswer: 124722800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 873 a factor of 2664482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/415 and -67\/498?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 2. Let h(u) = u**2 - 11. Let m(n) = -11*g(n) - 2*h(n). Let i(z) be the third derivative of -43*z**4\/24 + 2*z**2 + 223*z. What is m(i(q))?\nAnswer: -3698*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 8*29\/(-232)*(-2)\/14\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -1*((1 + 3*(-2*sqrt(45) - sqrt(45)))**2 + 0)*-4.\nAnswer: -216*sqrt(5) + 14587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6100\/(-35))\/20 + ((-5)\/(-7) - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/2915448 and 65\/48.\nAnswer: 5830896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together -11.56835 and 0.75932.\nAnswer: -10.80903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 8 = 0, -3*w + b + 2*b = -2511. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*s + 21*s - 12681 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/2*(-45)\/((-6840)\/(-2204)).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1568672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/277177 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, m: 3, o: 9, p: 2, k: 3}. Give prob of picking 3 m and 1 k.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -230932 times 0.5?\nAnswer: -115466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 6) + 5 + 8 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (40\/12)\/(2\/(-3)). Sort -3, 1, r in descending order.\nAnswer: 1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1006796355?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (4\/6 + 0)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*w + x - 37, 15 = 2*w - 5*x. Let b be ((-8)\/(-12))\/(2\/48). Which is greater: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 6*g - 12. Let o(n) = n**3 - 3*n**2 - 17*n - 5. Let w be o(6). Put 3, 5, g, w in descending order.\nAnswer: 5, 3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6982\/(-6))\/(7\/(-12)). Let v = 4219 + -6221. Let s = c + v. Find the common denominator of s and 58\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - (-13 - (10 - -5 - 18))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 950.99ml?\nAnswer: 0.95099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-35 - 34 + 30)*(5*n**4 + 0*n**4 - 3*n**4) as q*n**3 + v + f*n**4 + g*n + m*n**2 and give f.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1 + (sqrt(44)\/sqrt(4))**2 - (sqrt(11) + 4 + (sqrt(11) - (sqrt(44)\/sqrt(4))**2 - sqrt(11)) + sqrt(11))).\nAnswer: -2*sqrt(11) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 58112 and 249473?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38149 - 14981 = -770*t for t.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 844162 divided by -11.\nAnswer: -76742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 0 + -7 + 16 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 51456 (base 11) to base 8\nAnswer: 222511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24709474*h + 0 - 291521*h + 0.\nAnswer: 24417953*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -79?  (a) 0  (b) 1\/10  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -545 - -5993\/11. Put 0.5, 4, r, -89 in descending order.\nAnswer: 4, 0.5, r, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 6*j - 20. Let o(q) = 88*q**2 - 96*q**2 + 4 - 3*q - 2*q. Let v(n) = n**2 + n - 1. Let y(d) = j*v(d) + o(d). Give y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**5 - 180424608*c**4 - 1623821310*c**3 - 4871463768*c**2 - 4871463687*c.\nAnswer: -3*c*(c + 3)**3*(c + 60141527)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 21\/6 - 1\/(-2). Suppose 5*m - 3*y - 12 = 0, 8*m - 3*m - 11 = b*y. Suppose m*h - 4 = 20. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42906, 85843, 128780?\nAnswer: 171717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2 - 109210*c - 1638600.\nAnswer: 2*(c - 54620)*(c + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h - 12. Let d be y(8). Suppose 0 = 5*k - d + 9. What is the biggest value in k, 5, -2\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 183 and 123912167?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 920 divide 8102479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 356 * -0.47.\nAnswer: -167.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -3*l**2 + 39*l + 9. Let j(y) = 5*y**2 - 55*y - 8. Let s(k) = 14*k**2 - 156*k - 23. Let x(a) = 11*j(a) - 4*s(a). Give -3*n(f) + 7*x(f).\nAnswer: 2*f**2 + 16*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from qnmmcqmmmcmemqqccem?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/9)\/z**(-3\/8))**(2\/105) assuming z is positive.\nAnswer: z**(11\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -216 - -1717\/8. Let l = 1\/253 - 3297\/2024. What is the common denominator of g and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of -1708*o**6\/5 + 5951*o**2 - 7308*o. Find the first derivative of c(i) wrt i.\nAnswer: -40992*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42 + 8*x**3 - 42.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(-4)*w*w*w\/w**(-4)*w*(w**0*w)**(-28) assuming w is positive.\nAnswer: w**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 4 - 1. What is the highest common factor of f and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 + 11)\/(3\/30*4). Let c be (-336)\/(-340) + (-8)\/h. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 + -19. Let y = m - -9. Let k(v) = 9*v - 21. Let i be k(2). Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 - -30. Let h = -13 + l. Let n = 0.33 + -4.33. Sort 0.4, n, h in increasing order.\nAnswer: n, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2115?  (a) -0.1  (b) 0.1  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -c**4\/4 + 466934*c**3 - 290721199680*c**2 + 60351003467255200*c - 6996805186528856000 = 0.\nAnswer: 116, 622540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of b**2\/2 + 20. Determine v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + v + 4*v + 65 = 0, 4*o + 2*v - 64 = 0. Let n = 117 - 187. Calculate the smallest common multiple of 2*(-115)\/n + 4\/(-14) and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 74611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 219 + 96 = 43*o + 487 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 57672?\nAnswer: -1\/14418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4097549 to the nearest integer?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 3*t = 28. Calculate the remainder when 33 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 94 = 5*q - 17, 5*c - 5*q = 105. Let s be 24*((-1)\/2 + 2)*1. What is the highest common divisor of c and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 84 = 10*g. Let d = g + 45. Let q = -30 + d. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21200 (base 3) to base 15.\nAnswer: -dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*a**2 + 68*a**2 + 17*a**2)*(-4*a + 5*a**2 + 4*a).\nAnswer: 450*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 66 (base 11) in base 3?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 6. Let w be (q\/(-9))\/((-1)\/(-9)). Suppose -w*p - 2*p = -45. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/14 - (-600)\/105. Let s = -15 + 16. Let k be s*-973 - (c + -9). Round k to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.3, 0, -5, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 56 - 59 = 0. Solve 0*q = q - l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 189746635 and 2470?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*u = -144 - 129. Let l(g) = g**2 - 8*g + 13. Let w be l(7). Calculate the greatest common divisor of w and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 8, w: 1}. What is prob of picking 2 q?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is -2211 (base 3) in base 6?\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/4  (b) 36  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 81\/15 - (-6)\/(-15). Suppose -5*s - 85 = -u*c, 0*c + 89 = 5*c - 4*s. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 44.1 + -44.342. Is 0 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**4\/3 + 1080*n**3 - 114784*n**2\/3.\nAnswer: 4*n**2*(n - 34)*(n + 844)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 9049 times -12.14\nAnswer: -109854.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1182 and 44128.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 + -32 + -9 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0018301094 to 6 decimal places.\nAnswer: -0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/735 or -1?\nAnswer: 1\/735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/4  (b) 4  (c) -0.2  (d) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {o: 1, r: 1, i: 1, y: 4, h: 2, g: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5  (b) 27  (c) 1  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/(-35) + 120\/(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z + 6. Let g be x(-12). Let k be (-2)\/g + (-244799992)\/(-24). What is k rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of -h**4\/12 - 4*h**3\/9 + h**2\/6 + 4*h\/3 - 2. Suppose t(v) = 0. Calculate v.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -248 + 134 - -101 - (1 + (2 - -30)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1356, 1421, 1484, 1545, 1604?\n\"Answer: -i**2 + 68*i + 1289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 15*t - 1 - 11*t - 18*t. Let b(g) = 13*g + 1. Let k(n) = -5*b(n) - 4*p(n). What is the tens digit of k(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77661406937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 264 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -45401.32983 + 45401. Round f to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*o + 15*o + 7*o + 3*o + 3*o in the form p*o + s and give p.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.3 in 0.7, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -4, -3\/8, 2985.2, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -56319572 divided by 646\nAnswer: -87182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 6*m**2 + 4*m + 4. Give d(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 56, 0, -179, 14 in decreasing order.\nAnswer: 56, 14, 0, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*l - 2*l + l + (-l - 3*l - l)*(-8 + 4 - 1) as a*l + d and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0266 and -0.1.\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 114343*u**4 + 416655*u**2.\nAnswer: 2744232*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-21120)\/(-275))\/(-48))\/(-80)?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 268*i + 4. Let b be r(3). Suppose -12*g - g = 3978. Let w = g + b. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 1734\/2767?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/16698353 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 907595 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -10 + 5 + 2 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*o**3*w**3 + 2*o**3*w - 6*o*w**3 + 3*o*w - 1 wrt w?\nAnswer: 48*o**3*w - 36*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (w**2 - 3*w + 3*w)*(2 - 2*w - 2) + 2 - 2 - 2*w**3 + (-41 + 44 - 35)*(2*w - 2*w - 2*w**3) - 2*w**3 - 1 + 1 as b*w + p*w**2 + r + v*w**3 and give v.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 200003.9 to the nearest 10.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0331 + 43.6669. Let k = n + -45. Round k to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37, 56, 89, 142, 221, 332, 481?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 255 (base 7) to base 11\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 take away -437513536333?\nAnswer: 437513536385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a + 2*a + 0*a + (-6 + 3 + 4)*(4 - 4 - 2)*(0*a - 2*a + 0*a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21959 - 12322. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 3*c - 16. Let p be -40 + (9\/6 + -1)*0. Is 15 a factor of (p\/6)\/(c\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the second derivative of -n**5\/110 + n**4\/66 + n. Solve s(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 1239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 5*r**2. Suppose 0 = 7*j - 6*j - 17. Let l(y) = 17 - j - 3*y. What is m(l(h))?\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/19  (b) -0.5  (c) -2\/11  (d) -8215  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 62*f - 15. Let n(i) = i - 2. Let b(j) = -k(j) + 6*n(j). Let y be b(2). Let z = -106 - y. Solve -5*v - c = 6 + 19, -4*v + z*c = 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(128) + 1 - (5 + sqrt(128) + 0))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 27 + ((-6 - -2) + 4)\/(-2). Let m = r + 3. Suppose -6*h + 732 = -m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*6*2*sqrt(1764))\/(sqrt(24)\/sqrt(2)*-3 - ((-1*sqrt(24))\/sqrt(2) + sqrt(12))).\nAnswer: -56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2a9b25 (base 15) in base 9?\nAnswer: -3775788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2237110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-1)*k**10)\/(k*k**4*k*k*k**(-1\/4)\/k*k*k) assuming k is positive.\nAnswer: k**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -4. Let r = -5.2 + 5. Let f = r - 0. What is the biggest value in f, -0.4, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 285*z**2 + 2*z + 6. Let g(w) = -282*w**2 - 2*w - 5. What is -5*g(n) - 4*l(n)?\nAnswer: 270*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10997 + 483915\/44. What is the common denominator of b and (7 - (-230)\/(-80))\/1?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1114?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12 - 11. Let t(i) = -i - 5. Let h be t(-5). Suppose -p - 4*p = 20. Sort g, p, h.\nAnswer: p, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 143, 250, 349, 434, 499?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) 0  (c) -5581  (d) 271  (e) 0.4  (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.7 - 0.3. What is the closest to 0.1 in t, -0.4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 8.4  (b) 3  (c) 2\/9  (d) -1\/4  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4.2206 and -2?\nAnswer: 2.2206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k + 2 + 20*k - 33*k.\nAnswer: -18*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-945)\/245 + (-2)\/14 - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7 + -631?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 9\/32, -1, -1\/3, -8 in decreasing order.\nAnswer: 9\/32, -1\/3, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 - (1 + (0 - 1)). Let z(p) = 4 - 6 + p**a + p + 5*p + 0*p. Give z(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 + 14*c**2 - 15*c + 11. Let z be l(-15). Let u(k) = 294*k**2 + 5*k + 42. Is u(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -z**4\/3 + 5*z**3\/3 - 2*z**2 = 0?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -9844 - -0.061654\nAnswer: -9843.938346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*f - 26*f - 11379. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z - 7. Let f be k(-4). Which is smaller: f or -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 + 8*g + 8. Let o be k(-7). Sort 0, o, -5 in increasing order.\nAnswer: -5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 11:22 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 843\/12 + 4\/(-16). Let u be (z - (-12)\/(-3)) + -3. Let d = -60 + 69. Calculate the greatest common factor of u and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-3) + 6*(-9)\/27.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (56\/35)\/(2 + 24\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1131 and -0.066?\nAnswer: 74.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (156\/(-13))\/12*-3*(-174)\/(-18).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 105 = -4*k. Let o = -24 - k. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -3*k**3\/4 + 4135*k**2 - 3890321*k\/4 - 2622966 = 0.\nAnswer: -8\/3, 249, 5267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.022 + 0.052. Let k = -6.97 - x. Which is smaller: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -435, -1637, -3657, -6489, -10127?\n\"Answer: w**3 - 415*w**2 + 36*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4232 + -283526\/67. Let o = -884\/201 - s. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.26, -2\/3, 0.1, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.1, -0.26, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rdafh. Give prob of sequence af.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*u**2 + 31*u**2 + 8 + 6*u**2.\nAnswer: 43*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-825)\/75 - (-2 - -20). Is -235\/8 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 + 9*s**2 - 7*s + 5. Let c be i(7). Let j = -559\/10 + c. Calculate the common denominator of j and ((-84)\/(-16))\/(11\/6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 869677, 869491, 869305, 869119, 868933?\n\"Answer: -186*s + 869863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.17 and 13.9.\nAnswer: 2.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.15577694 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95110 divided by 9511.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - 3736370?\nAnswer: -3736365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*i**3 + i**3 - i**3)*(-4*i + i + i) + 4 - i**4 - 4)*(0*i - 2*i - 3*i).\nAnswer: 25*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 27*c**3 - 10 - 6*c**3.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -31*p + 303. Calculate g(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 598603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76042, 152082, 228122, 304162?\nAnswer: 380202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + 52 - (0 + 3) - (4 + 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.041 + 0.059. Which is the closest to k?  (a) -1\/3  (b) -3\/4  (c) 0.2  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 12*p - 17. What is o(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 74 = -2*j, -4*d - 68 = -8*j + 10*j. List the prime factors of 429\/(-65)*j*1.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from bvbbbbbbbbbbbbbbbb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {p: 1, w: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -37*u - 2. Let x(t) = 55*t + 3. Give 8*l(k) + 5*x(k).\nAnswer: -21*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6753417?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rkk when three letters picked without replacement from {k: 7, t: 4, r: 7}.\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 208232*m - 19*m**2 - 208232*m.\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 80 = -5*o, 70 = -1262*n + 1248*n for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(4\/9)\/(r*r**(-11))*r**(-5\/4)\/r**(3\/7) assuming r is positive.\nAnswer: r**(2209\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -79\/9 - -529\/36. Find the common denominator of g and (-2)\/(2\/68*-30).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 4150583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 6989316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 12888 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.8*1.61.\nAnswer: -2.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, -6, -4, -2549, 1.\nAnswer: -2549, -6, -4, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2303233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 + 30. Suppose w - 3*w + v = 0. What is the tens digit of (w - 6) + 0 + 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5111881 to the nearest integer?\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7732631?\nAnswer: 7732631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**3\/3 + 9596*c**2\/3 + 19180*c\/3 + 3196.\nAnswer: 4*(c + 1)**2*(c + 2397)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26774996*m**2 + 63829478*m?\nAnswer: -53549992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 + 113544*j + 1 - 113546*j + 2 - 3.\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 18109471 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 + 2*c**3 + (6*c - 2*c + c)*(c**2 - 2*c**2 + 20*c + 3*c**2).\nAnswer: 12*c**3 + 100*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fnm when three letters picked without replacement from unfmmnpnnpuunu?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(((-5994)\/(-128760))\/((-9)\/(-5)))\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -14532, -12668, -10804, -8940, -7076, -5212?\n\"Answer: 1864*y - 16396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 101241964 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of -m**5\/300 - m**4\/120 + 39*m**2 + 1. Factor i(c).\nAnswer: -c*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43927?\nAnswer: 13, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8365 = -0*a - 5*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14121867073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -14.4. Let y = 43.6 - 42. Let o = q + y. Put 4\/7, o, 0 in descending order.\nAnswer: o, 4\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 0, -4, 1040 in descending order.\nAnswer: 1040, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 0, -1\/5, -7\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -13. Let s(r) = r - 1. Let i(d) = 5*d - 4. Let u = 2 - 1. Let c(m) = u*i(m) - 4*s(m). What is c(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 + 5*x + 5. Let q be i(-1). Let r be (-5119998)\/8 + q*4\/16. Round r to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -10010000011110100010001011?\nAnswer: -10010000011110100010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*p - 3*o, 4*o + 0*o = -5*p - 31. Let y(f) = -2*f**3 - 3*f**2 - 2*f - 5. Let a(z) = z**3 + z**2 + z + 1. What is p*a(t) - y(t)?\nAnswer: -t**3 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*l + 955 + 72 - 28 = 0 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 360  (b) 4  (c) -0.3  (d) 3  (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - 2 - 2\/(-1). What are the prime factors of (g - (-7)\/(-4))*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81 = -33*r - 51 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + 0 - 3) + 3 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h + 72*t - 76*t + 59, t - 18 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {n: 2, v: 3, z: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 12, 3\/5317, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/349 - 704\/1047. Which is the closest to 1?  (a) r  (b) -1\/6  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 80, 37 in decreasing order.\nAnswer: 80, 37, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3*s**3 + 72*s**2 - s + 35. Calculate i(24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001072913 rounded to 7 dps?\nAnswer: -0.0001073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -29577762*a**3*h**3 - 7*a**3*h - 7514*a**3 + 8*a + 1265 wrt h.\nAnswer: -88733286*a**3*h**2 - 7*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 35549232 to the power of 1\/2, to the nearest integer?\nAnswer: 5962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + -12. Let q be i\/((-7)\/2)*-1. Let f = q + 1. Which is bigger: f or -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -3*z**3 - 8*z**2 + 48*z + 301. List the prime factors of t(-8).\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5018696 is divided by 218203.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 + -10. Suppose 0 = -2*v - 4*l - 2 + 8, -3*v - 35 = -5*l. Put k, v, 2 in decreasing order.\nAnswer: k, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 3\/3329552, -3 in ascending order.\nAnswer: -3, 3\/3329552, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2519\/57387)\/((-22)\/600). Let l = -60\/517 - v. What is the common denominator of 9\/5 and l?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -43, -1, -3.\nAnswer: -43, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-15)\/10 - 2\/4. Let d be 12\/(-3) - g*4. Suppose 103 = d*q + 23. Solve 0 = -3*j + 8 - q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 731.9 + -775. Let k = t - -43. What is the closest to k in -4, -2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from wdvxn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 5 + 1)*(3*y + 0*y - y + (-y - y + 0*y)*(2 - 1 + 1))*(2 - 2 - 5) to the form c + t*y and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1078 = -417*i - 122*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-1903))\/((-80)\/(-64)*(-468)\/(-6435))\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 18\/(-117) - 15\/(-13). Suppose 5*b - 10 = -5*n, b = 4*n - 4 + z. What is c in -3*c - c**2 - c - b - 3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = 4*n - 144. Let i be (-8)\/n + 50\/(-18). Let d(k) = -2*k + 3. Let u(o) = o - 1. Give i*d(v) - 7*u(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 178.585*0.4.\nAnswer: 71.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -31185*h*u**4 - 556439*h + 4*u**4 - u**2 wrt u?\nAnswer: -124740*h*u**3 + 16*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -4, 4\/3, 0.2, -2 in ascending order.\nAnswer: -10, -4, -2, 0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 110*d**2 - 54997*d - 1511. Calculate n(500).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a77 - 2?\nAnswer: -a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the second derivative of 0 - 15*n + 2\/3*n**3 + n**2. Let c be (-1)\/(-2) - (-10)\/(-4). Calculate l(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -11*g**2 - 342888 + 141*g**2 + g + 342888. Let f(h) = 5*h. What is f(n(w))?\nAnswer: 650*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = h - 4*x + 29, 9*x + 9*x = -2*h + 150 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/7?  (a) 0.5  (b) -4\/5  (c) 0  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60423657.\nAnswer: 3, 7, 53, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 221577171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 6  (c) 67  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 + i + 505. Is l(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1715.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (8\/(-88))\/(-1 - -2 - 2). Let q = -0.12 + 0.12. Let r = -9 + 16. Which is the second smallest value?  (a) r  (b) y  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 603 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109 is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gngnngnnznngggnnzn. Give prob of sequence gz.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -496.3 - -496. Which is the third biggest value?  (a) 8  (b) l  (c) -56\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -506 - -3 - (2 + 0). Let h = -303 - k. Is h 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 {m: 11, j: 1, t: 2}. Give prob of picking 2 m, 1 t, and 1 j.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/5334728 and 151\/12003138?\nAnswer: 48012552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 273 a factor of 4413045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in 397, -1\/8, -2, -1755, -4, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of 53*c**3\/6 - 2*c**2 + 103*c + 3. Let i(q) = -79*q + 6. What is 5*i(h) + 8*y(h)?\nAnswer: 29*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 9:42 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/98 and 109\/50.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -43775 - 174?\nAnswer: -43929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 8, 2\/5, 0.016, -142.\nAnswer: -142, -1\/6, 0.016, 2\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21364 or -21360?\nAnswer: -21364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 261*u - 300*u = -81432. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u + 122 = 388. What is the highest common divisor of 175 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 263630 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 52765?\nAnswer: 52765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/36 and 20\/60091.\nAnswer: 2163276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*s - 76 = 6*s. Suppose 2*c - j = -4*j + 2824, -s*j - 4253 = -3*c. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 13 = -10. Let f be (3\/1)\/(3\/(-4)). Let p = n - f. Solve -p = 5*c - 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h - 9. Suppose -16*l = 4*l - 320. Suppose -s = 2*a - 3*s - l, -3*a + 32 = 5*s. Determine z(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 + 9*h**2 + 16*h - 15. Is 21 a factor of x(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - g + 2*g)*(3 + 2 - 7)*(-6 + 4 - 4).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 7 = -3*h + h, 3*h - 6 = -3*a. Suppose 11 = -3*s - a. Let c = 11 + s. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 209 + -982a0a?\nAnswer: -982801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -183614  (b) -2\/13  (c) 0.3  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1330 is divided by 222.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gkdcssngcs. What is prob of sequence cd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 2 c, and 1 b when four letters picked without replacement from bppkpcpbkcppkpcbpkpp?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2*p + 3*c = 0, -3*p + 3*c + 12 = 0. Suppose -s + 2*w = p, -4*s = s + w - 14. Let q(y) = -2*y + 2. Determine q(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 64\/1725 and 169\/150.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m - 3. Let x be l(-5). Suppose 35 + 3 = -x*w. Let p = -11 - w. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2653*x - 68187 = -10555 + 24611 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - 3*p + 3*p)*(p**3 + 0*p**2 + 0*p**2) + (12*p**4 - 3*p**3 + 3*p**3)*(2 - 1 - 2) + 4*p + p**4 - 4*p.\nAnswer: -13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vuj. Give prob of picking 1 u and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*n - 6996 - 2904. Let p = n - 335. Let z(b) = b**3 + 6*b**2 + 4*b - 1. What is z(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*c*c*c**4)\/c*c)\/c**(2\/3))\/(c**(-4)*c\/((c*c**7)\/c)))\/(c**(5\/6)\/c*c*c**(-6))**(-2) assuming c is positive.\nAnswer: c**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 16344575209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5133919 is divided by 457?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -19\/624  (b) 2\/11  (c) 1\/25  (d) -3  (e) 3\/4  (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/v**(-7))\/v**(-2\/3) assuming v is positive.\nAnswer: v**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84\/105*180\/(-96).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -5. Is i + (-2 - 0) - -41 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-3)\/(v*v\/(v\/(v*v**(-4\/15)))))\/((v\/(v**(-1\/25)*v*v)*v)\/(v\/((v*v**12\/v)\/v))) assuming v is positive.\nAnswer: v**(-1108\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, l: 5, w: 1, d: 3, j: 6}. Give prob of picking 3 j and 1 d.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.4 + -0.014.\nAnswer: -4.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -10*w - 178. Let q be u(-19). Let h = 3 - 7. Let g = h + 40. Calculate the highest common divisor of g and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.721495 rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -47230.9741 - -47228. Let g = -0.0259 + u. What is the fourth smallest value in -5, -0.1, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from buubbbhuuhbbb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/4*-6 - -2. What is the hundreds digit of (h + (-1)\/(-5))\/(80\/(-12200))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 3) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -27433266 (base 8) to base 9\nAnswer: -12550603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 5 = -4*m + 1, -2*u = 4*m - 12. Solve m*l - 4 = -p, -2*p - 3 = -3*l - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -54 + 12 + 9 + 1151*y + 18 + 12 to h + p*y and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 133 divided by 133.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 37.1568mm?\nAnswer: 0.0000371568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9005220, -9005232, -9005244?\nAnswer: -9005256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - 1)*1\/1. Suppose 100 = -11*h - 6 - 81. Is b less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 150340, 300766, 451192, 601618, 752044, 902470?\n\"Answer: 150426*h - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 - -2 - 1*-4. Let u = 8 - a. Solve 5*b + 5*h - h - 5 = 0, u*b - h = -11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.4894 * 5.3\nAnswer: -7.89382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-1))**29)**(-38)*((x\/x**(-2))\/(x\/(x\/(x\/(((x**(2\/7)*x)\/x)\/x))*x)))**29 assuming x is positive.\nAnswer: x**(8178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-12*3\/7)\/(2095\/14665)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -4*c**3 - 2*c**2 + 2*c - 3. Let g(d) = 2*d**2 - 5*d**3 + 87*d - 4*d**2 - 2 - 2 - 84*d. Give -2*g(l) + 3*v(l).\nAnswer: -2*l**3 - 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 43204 and 6?\nAnswer: 129612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9735 + 10758 - 5141 = 1389*m - 11039 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 809251 to the power of 1\/2, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 16\/12*(87\/(-36))\/29*-3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*b**3*t**3*v + 27*b**3*v + 12*b**2*t*v + 15*b**2*v + 4*b*t**3*v + 307*t**3*v - 4*t**2*v + 2*t wrt t.\nAnswer: 24*b**3*v + 24*b*v + 1842*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c + 1440 = 105*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 - 4*i**2 + 3*i - 2. Let q = -141 + 145. Suppose 4*u - 15 = -q*w + 13, 2*w = -u + 10. What is the remainder when n(4) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 45 - 3\/(1\/(2\/6)). Let t be 33\/(-4*3\/(-16)). What is the derivative of -5*l + r*l + t - 11 wrt l?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 2 b, and 1 x when four letters picked without replacement from {j: 10, b: 6, x: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 AM and 10:37 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 13 + 274?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(2057) + -1)*3)**2 + sqrt(2057) + 0 + 1 + -3.\nAnswer: -781*sqrt(17) + 74086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29 - 21. Suppose 0 = -2*z - v, -k - 3*k = -4*z - 24. Suppose 0 = -2*q + 12 - k, -3*t + 3*q + 48 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 24*t**2 - 3*t - 2. Let c be b(-1). Let f(l) = 55*l - 31*l - c*l. Let w(s) = -266 - 220 - s**2 + 455. Calculate f(w(i)).\nAnswer: i**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of -7\/8*j**4 - 1\/2*j**3 + 0 + 4*j + 0*j**2. Solve c(h) = 0 for h.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l**2 + 39*l**2 - 33*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (32\/(-64))\/((-18)\/(-60))*15\/25\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/18 and -139\/192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20 or 64?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 157550697 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-282.142.\nAnswer: 112.8568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**3 + 8*j**2 + 5*j - 3. Let k be n(-6). Let v be (-6)\/k - 3008\/52. Let d = v + 62. Solve 5*z - z = -d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2299) + -2*(sqrt(2299) - (sqrt(2299) + -3)).\nAnswer: -6 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*a**2 + 5*a**2 - 3*a**2 + (0 + a + 0)*(16*a + 24 - 24) - a**2 + 5*a**2 + 3*a**2.\nAnswer: 31*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 + -1 + 520 + -110 + 111 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 270*k*y**4 + 110*k + 31*y**4 + 481*y + 39173 wrt y?\nAnswer: 1080*k*y**3 + 124*y**3 + 481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.3109339 and 4.\nAnswer: -5.2437356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(7)*-6 - (sqrt(7) + sqrt(7)*-4*-1).\nAnswer: 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 24  (c) 10746\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -42 and -0.428333672?\nAnswer: 41.571666328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of 3\/4*y**4 - 7\/3*y**3 + 10*y - 1\/2*y**2 - 2. Is z(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3411575347 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 + -10. Suppose 3*b = g - b - 8, 5*g - 2*b - 22 = l. Solve -17 - 11 = -5*x + 2*o, 0 = -o - g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -67*y**2 + 222*y**2 - 73*y**2 - 83*y**2. Let g(v) = -105*v + 2. Calculate h(g(o)).\nAnswer: -11025*o**2 + 420*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27203162 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -1 + ((sqrt(832) - sqrt(832)*-1) + sqrt(832))**2 + 2 - ((sqrt(260)\/(sqrt(20)\/sqrt(4)*-1))**2 + 0).\nAnswer: 7436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -9*s + 102. Calculate b(-2).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 164 + -165. Let u(q) = -3*q**3 + q. Let r be u(g). Which is the closest to r?  (a) 0.12  (b) -0.1  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-120)*-8)\/(24\/(-1))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence doog when four letters picked without replacement from {o: 2, d: 7, g: 6}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -76 at most as big as -8\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -1044*c - 7307. Determine z(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 2*i - 10 = 0, 3*i = 55 - 49 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -106*j + 7. Let r be g(-3). Suppose 5*u = 10*u - r. Suppose 3*x - u = -2*x. What is the highest common factor of x and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 26 + 29 = 4*w, -3*w + 45 = 3*p. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 25183 and -1.2073?\nAnswer: -30403.4359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2214, -2209, -2214, -2235, -2278?\n\"Answer: -o**3 + o**2 + 9*o - 2223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 - 296 = 275*z - 307*z. Solve z*q = -426 + 468 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*y + 20*y - 78 - 6*y**2 + 20*y - 79*y - 109 + 20*y.\nAnswer: -6*y**2 + y - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -313 - 10*t - 99*t - 373 + 686.\nAnswer: -109*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-26) + 17448494\/182 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 33140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6\/7 - 64\/91. What is the closest to g in 5, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -1 - 9. Let v = a + -10. Solve v = r - 0*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - z + 2. Let j be c(0). Suppose 0 = -k + j*k + 3. Is 13 a factor of 7*3 + k + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 9 and -8022250 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 85745393?\nAnswer: 157, 546149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v + 2. Let u be x(-7). Let q(t) = t**3 + 6*t**2 + 6*t + 6. Give q(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4634169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-510)\/(-1904) - (-3)\/(-24).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -1. Suppose 27*n = 13*n + 14. Let i(q) = q - 11. Determine n*i(m) + 2*y(m).\nAnswer: m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/380 and -79\/60952?\nAnswer: 304760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 + 14 - (-2 + -1) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 305 divide 1671967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 25 = -w - 2*i, w = 3*i + 29. Let u(k) = 0*k**3 + 32*k**2 - 15*k - k**3 + 13 - 16*k**2. Calculate the remainder when w is divided by u(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, 63\/158, 0.4, 35 in ascending order.\nAnswer: -0.01, 63\/158, 0.4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -63*g - 615422 + 618131 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are 24 and 5\/26759 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9728 and 512.\nAnswer: 9728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-135)\/(-18)*4\/5. Suppose -5*a - 5*j = 135 - 25, 3*j + s = 0. Let t be 1\/(2\/(-1) + (-50)\/a). Solve m + t*m + 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -101 + 70. Let c = s + 65. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - ((-600)\/(-28) + -24 + 18)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 0.2  (b) -4  (c) -883  (d) 2\/21  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.008 - -46.008. Let v = h + -45.99999917. What is v rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2000921523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -7 - 2 + 5*q**2 - 1 - 5*q - 4*q**2. Let m be n(7). Let w be 0 + 4 + 1 + 0. Solve w*h + 0*k - 16 = -2*k, -5*h + m = -2*k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 30*a**2 + 865*a - 97. Determine v(48).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 + 20. Suppose -3*y + 60 = -3*j, -30 = s*j - 3*j - 3*y. What is the tens digit of ((160\/3)\/5)\/((-2)\/j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/b**(1\/4)*b*b*b**(-2\/25)*b**7\/(b\/(b\/b**(-10))*b) assuming b is positive.\nAnswer: b**(1867\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -431.42 - -356.5. Let l = p + -0.08. Let x = l + 75.000204. Round x to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -166 (base 7) to base 10\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13715 and 178490.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g + 6. Let d be p(-6). Suppose -4*a + 12 + 40 = d. What is the remainder when 37 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18349 divided by 81?\nAnswer: 18349\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of n**3\/3 - 16*n**2 - 227*n - 195. Let u be f(38). Which is greater: u or 21\/25?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 781031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1350.31 - -9.69. Let s = -1359.999999381 + t. What is s rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 10 + 22. Solve 0 = -g*q + 10*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41294*y + 41295*y + 8 = 3*c, -3*c = y + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 2*d + 0*d - 84 = 0, 2*d = -4*u + 68. Suppose -u*v = -19*v + 39. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 + 15*w - 7. Let l be h(-8). Let i be (-29)\/(-9) + 14\/l. What is the first derivative of 3*m**i + 28 + 4*m**3 + 6*m**3 + 7*m**3 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/24 and 61\/164324.\nAnswer: 985944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1999189241.\nAnswer: 7, 285598463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/13359330 and -11\/3216135.\nAnswer: 173671290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -a - 4*o + o, -3*a - o = 12. Put 0, 13, a in increasing order.\nAnswer: a, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(1\/3)*a\/(a\/(a\/(a**(2\/9)*a))*a))\/(a*a**0\/a*a)**(-11\/5))**44 assuming a is positive.\nAnswer: a**(4576\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of -p**7\/1155 + p**5\/330 + 5*p**2 - 31*p. Factor g(d).\nAnswer: -2*d**2*(d - 1)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 8, l: 2}. What is prob of picking 1 h and 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -342*w. Let z(i) = -i**2 - 98. What is z(s(j))?\nAnswer: -116964*j**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 77 = 2*r - h, -2*r - 2*h = -86. What is the remainder when 78 is divided by r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 10)\/(-2) + 0 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -81 + 45. Let k be (-188)\/p + 2\/(-9). Suppose -2*q = -k*l + 40, 5*q + 0 = -25. Solve 0 = -g + 2*i + 8, 5*g + 5*i - 22 = l*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20110 + -321030020?\nAnswer: -321003310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 2:38 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 17363197 and 7417?\nAnswer: 17363197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -933 - 0.436195\nAnswer: -933.436195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 + 4*u**2 - 4*u. Calculate the remainder when g(3) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 105289 and 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3.13184 and -68.06664.\nAnswer: -71.19848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3023.18 less than 18?\nAnswer: -3005.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 333 (base 7) in base 8?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m*m**(4\/9))\/m))\/(m**(-4)*m*m)*(m\/(m**(1\/12)\/m))\/(((m*(m**(-4\/7)\/m*m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(1775\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - -1. Suppose 0 = m*t - 0 - 8. Let a be (-14)\/(-56) - 1\/t. Solve 0*x - x + 3 = a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 248 + 100 = -2*v, -3*v = 5*o - 238. Suppose -h + 194 = -v. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 59, 199, 439, 785, 1243?\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 18, v: 1}. What is prob of sequence vx?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 85057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v - 24 + 96. Let a = -4 + v. Suppose m = a + 31. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 1307308*x**2. Let g(v) = v. Calculate z(g(a)).\nAnswer: 1307308*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 3 + 3)*((-4 + 0 + 3)*(m - m + 2*m**2) - 4*m + 4*m - 2*m**2 - 10*m**2 + 3*m**2 - 11*m**2) to x*m**2 + k*m + a and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 132*y - 22 = -131*y, 2*y = r - 23. What is the remainder when 454 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 1 + 1 + 0 + 1 + (-4 - 1 + 3)*(2 - 3 - 1) + 4 - 2 - 4 + 2 + 0 + 0 - 2 + 1 + 3 - 4 + 5 + 1 - 4 - 3 + 5)*(-84*u - 76*u + 683*u).\nAnswer: 3661*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/84 and 55\/171351102.\nAnswer: 2398915428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -44253 - -44268. Calculate the greatest common divisor of 30000 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3, -15, -49, -99?\n\"Answer: -8*l**2 + 6*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.11 and -1810.\nAnswer: 199.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = n - 70 + 6, n + r - 54 = 0. Let b(s) = s**2 + 43*s + 470. Let x be b(-24). What is the highest common factor of x and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -0.01, 0.05, -3, 23, 25.\nAnswer: -3, -1\/4, -0.01, 0.05, 23, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 + u**2 + u + 2. Let x(s) be the third derivative of s**4\/24 + s**3\/6 + 2*s**2. Let q be x(-1). Let c be o(q). Solve -g + 3 = c*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17027.523 minutes in hours?\nAnswer: 283.79205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*i - 2 + 2*i - i + (6 - 2 - 1)*(2*i + i + i) - 4 + i + 4 - 1 + 1 - 2*i in the form g + x*i and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -79734 - -642705\/8. Which is smaller: 603 or l?\nAnswer: 603","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -80 - 169. Let d = -32 - p. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5526390.\nAnswer: 2, 3, 5, 41, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -91 + 51. Let s be 26\/(-195)*9\/(-1)*-25. Let b = s - t. Solve -4*v = -b - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*z + 2035 - 936 = -472 + 63 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7, -23, -55, -89, -125, -163, -203?\n\"Answer: -u**2 - 27*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -120433148 divided by 68662\nAnswer: -1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 46.50722l in millilitres?\nAnswer: 46507.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -518253 minus 2?\nAnswer: -518255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/69009 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/7, 0, -1.67, -1\/11?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 0*g + 3*g)*(-2*g**2 + 2*g**2 + 3*g**2) + 3*g**2 - 3*g**2 + 4*g**3 + (0 - 1 + 3)*(g**3 + 2 - 2).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003354825 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 + 18 + (15 - 36) + 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 15 = 5*j. Suppose -90 = 492*g - 510*g. Put 2, g, j, -4 in descending order.\nAnswer: g, j, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-220)\/12*(-171)\/209?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 3*t + t - 4 = 0, 0 = -4*s - 4*t - 32 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g - 4*g = 0. Solve 2*n - 7*a + 3*a - 8 = g, 7 = n - 5*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*s + 1 = 84*s + i, 3*i - 23 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n - 14*n - 48 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 (base 4) in base 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 4*t**2 - 8*t. Let p(f) = 3*f**2 - 5*f. Determine 8*p(q) - 5*y(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((798\/56 - 14) + 13\/(-68))\/((-7)\/(-14)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 503 (base 8) to base 9.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3*l - 10. Calculate q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 42533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 7*g**3 + 5. Let d(j) = -1. Let r(h) = -18*d(h) - 2*y(h). What is the first derivative of r(s) wrt s?\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 55*l + 4 - 1 - 2 + 15 to the form y*l + t and give y.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.05  (b) -2  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 607 divide 898831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 797.3 + -797.3. Suppose 2*m - 21 = -2*q + 53, q - 41 = -2*m. Let i be q\/63 - (-2)\/(-3). Which is the closest to -0.1?  (a) w  (b) i  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18*99\/(-693)*21\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the first derivative of 7*a**2\/2 + 18*a - 155. Determine t(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -47115 (base 8) in base 7?\nAnswer: -112304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(105) - 1*sqrt(105))\/sqrt(3))\/(1*(sqrt(15)\/sqrt(3) + sqrt(5))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-168)\/(-4416) - (-3)\/(-24). Sort 1\/4, z, -3 in increasing order.\nAnswer: -3, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -o**3\/6 - 5*o + 6. Let f(t) be the first derivative of x(t). Let d(l) = -15*l. Give d(f(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.3866124 micrograms?\nAnswer: 0.0000000003866124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 0 + 0)*(-2 + 0 + 3) + 22 + 36 - 8)*(0 + 0 + k**4).\nAnswer: 51*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -97762 + 96824.66. Round g to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.03 - -0.13. Let v = t - 0.1. Let r = -1.98 + -0.02. Put r, 0.2, v in descending order.\nAnswer: 0.2, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -2*k - 0*k - 21, 60 = -5*k - 4*f. Let t = 20 - -7. Let y = k + t. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 168 + -166. Let x = 0.37 + -0.12. Which is smaller: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 3*w**4 - 24*w**3 - 75*w**2 + 34*w + 77. Let d(h) = h**4 - h**2 + 2*h + 1. Let q(v) = 5*d(v) - k(v). Factor q(p).\nAnswer: 2*(p - 1)*(p + 1)*(p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*i**3*n**2*v - 54*i**3 + 16*i**2*v - 2*i*n**2*v + i*n**2 + 4*i*v + 2*n**2*v - 7*n**2 wrt i.\nAnswer: 12*i*n**2*v - 324*i + 32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -243 divided by 1590?\nAnswer: -81\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, u: 7, g: 1, t: 8}. What is prob of picking 1 v and 1 u?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - (-13 - -11 - -33) - (33 - -1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 70b7 (base 14) in base 11?\nAnswer: 13609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.4082 rounded to one decimal place?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13870094*m**2 - 2*m - 16924503 wrt m.\nAnswer: -27740188*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(768)*-1)\/(sqrt(16)\/sqrt(100)) + (sqrt(3) - (sqrt(3) - -1*(sqrt(75) + sqrt(3))) - (sqrt(363) + -1)**2)*3.\nAnswer: -1092 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50558 is divided by 16780.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 18019134 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 8:19 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 AM and 1:07 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -8\/7, -1, 8\/147, -2\/7, 5\/4, 0.2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -20 + -53 + 81 - (-5 + -81 - -1)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 874033856 to the nearest integer?\nAnswer: 29564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -398*k**4 - 2*k + 184*k**4 - 6 - 2*k**3 + 3*k + 202*k**4 - k**2 + 4 to l*k**3 + s*k**2 + y*k + b*k**4 + f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 34*x**2 - 3*x - 3. List the prime factors of r(-4).\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 405.617 and 78?\nAnswer: 31638.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1075 times 196\nAnswer: -210700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 41 - 31. Suppose -5 = -16*k + 11*k. Let y = o + k. What is the highest common factor of y and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12043787 divided by -5?\nAnswer: 12043787\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 AM and 12:12 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 27255877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23.4 + 23. Suppose 0 = 5*d - 19 - 1. Sort q, d, 4\/3 in decreasing order.\nAnswer: d, 4\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -5 + ((sqrt(153) - -2*sqrt(153)) + sqrt(153))**2 + (-1*-3*sqrt(17))**2 + -2*sqrt(612).\nAnswer: -12*sqrt(17) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-45)\/(-30))\/(78\/(-4004))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16 - -22. What is the remainder when 10 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 238 and 595?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 7:53 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 229331395 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.83 - 2.459. Let p = c + -1.861. What is p rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1238 divide 7591854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 2, -0.8, -3927 in descending order.\nAnswer: 2, -0.8, -3, -3927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -3. Suppose -2*f - y*s = -14, 2*s = 4*f - 2*s - 8. Suppose -f*d + d = -153. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 818174070 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 19*w**2 + 2*w. Let v be x(-2). Let d = -101 + 125. What is the highest common factor of d and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -900870*k**3 + 422*k**2 - 2516 wrt k?\nAnswer: -5405220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of -23*x**2\/2 + 4*x - 23. Is v(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 2*h - 52. Let b(v) = -v**3 - 7*v**2 - v + 3. Let k be b(-7). Let t = 0 + k. Calculate the remainder when h is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4178040, -4178029, -4178018?\nAnswer: -4178007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - -1) + (10 - 21) + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18972997, -18972998, -18972999, -18973000, -18973001?\nAnswer: -18973002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/5 + 14\/(-5). Let c be 2\/14*(195 - 181). Put -28, f, c in decreasing order.\nAnswer: c, f, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y - 112. Let c(n) = -n. Give c(q(a)).\nAnswer: -a + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 - 12*s**2 - 23*s - 23. What is y(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 364186 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -7*g**2 + 2*g + 2. Let q be c(-1). Let d(z) = 3*z - 10. Let s be (-3)\/((-10)\/4 - -1). Let x(w) = 1 + s*w - 2 - 6. Give q*x(r) + 5*d(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12126 - 11496 = -63*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1 - -9)*(-3)\/(-6) + 29 is divided by (-9)\/(-6)*(0 - (-5 + -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 + (11 - 5) + 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.053 - -0.133. What is the second biggest value in 3\/2, -1\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 7*i - 13. Let x be f(10). Let c = x - 28. Suppose r - 141 + c = 0. Does 36 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 9029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, n: 1, t: 1, z: 1, u: 1, p: 1}. What is prob of sequence cc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6840)\/108 + 50)*(4\/22 - 3531\/5445).\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -114153, 1, -4, -7 in increasing order.\nAnswer: -114153, -7, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2955769 to the nearest integer?\nAnswer: 1719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 + 33.8. Let h = x + 1.2285. Round h to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 88 + -91. Which is the closest to 0.3?  (a) -0.3  (b) -0.02  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 88, -4, 0.03515?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -4, -3, -2, 3\/5 in decreasing order.\nAnswer: 8, 3\/5, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1340081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5.02 - 0.02. Let j = 3 - 2.5. What is the nearest to 1\/4 in 4, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54529848 a multiple of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34*c**4*o**2 - 8015*c**3*o**3 - 5*c**2*o**3 - 136*c**2*o**2 - 235 wrt c.\nAnswer: 816*c*o**2 - 48090*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 5*b**2\/4 - 56665*b + 3282365 = 0?\nAnswer: 58, 45274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 + 31 = 10*c. Suppose -5*g = -2*r + 38, -4*r + 5 + 15 = 4*g. Suppose 5*k - r = 56. Solve 4*a + k = 3*l, 0 = 3*l + l + a + c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + (-11)\/(-10) - -1. Let h be 27\/(-108) + (10\/8 - 1). Which is the second smallest value?  (a) i  (b) 5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24350219678 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (20 - 17 + 35)*(-27*g + 5*g - 27*g) - 3*g + 2*g + 0*g - 2*g - 2*g - g to v*g + p and give v.\nAnswer: -1868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -145 - 1513*u**2 - 6 + 1405*u**2 wrt u?\nAnswer: -216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 32 + -33 + 16 - (3 - 2 - 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 + 4*m**2 + 114*m - 237. Let l be b(2). Let o be -2*((-2)\/4 + -2). Put 4, o, l, -15 in ascending order.\nAnswer: -15, l, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 1 = 7. Let u = -26 + 58. Let b = u + -22. Calculate the remainder when b is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**4\/3 + q**3 + 31*q**2 + 173*q\/3 + 28.\nAnswer: -(q - 12)*(q + 1)**2*(q + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jnfjfjffnjjfjjsss. What is prob of sequence sf?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -372374791924 and -13?\nAnswer: 372374791911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*y - 7*y + 15*y + 2 - 2*y - 2 + y + 3*y - 3*y + (0 + 1 - 3)*(2 - 2 - 2*y) - 6*y + 3*y + 4*y + 0 + 0 + y - 2*y + 4 - 4.\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92143?\nAnswer: 92143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 - 7*g + 2. Suppose 4*u - 46 = -10. Let c be q(u). Solve -4*d - c = w, -6*w = -w - 3*d + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -176, -354, -532, -710, -888?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 51*q - 30587. Determine j(601).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 476137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2743*p + 2750*p + 99*p**4 - p**3 - 5496*p + 2 as q + g*p**3 + z*p**2 + b*p**4 + m*p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of -1\/15*r**6 + 5*r + 0*r**4 + 0*r**2 - 4\/3*r**3 + 0*r**5 + 0. Find the second derivative of u(h) wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2191 is divided by 1078?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8246 by -31.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*b - 13449 + 13449.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 663*i**3 - 959*i**2 - 1484*i**2 + 867*i**3 + 619611 - 619611 wrt i.\nAnswer: 9180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19076.16 - 19076.20700108. Let m = 2.047 + -2. Let l = m + z. What is l rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/74 and -47\/5328.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 PM and 12:38 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 4)*4\/3. Let n be (2\/(-8))\/((-6)\/32 + 0). Which is the second smallest value?  (a) -0.4  (b) g  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -4  (b) 49  (c) -1\/3  (d) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**2 + 3*h**2 - 3*h**2)*(0 + 1 + 1)*(2*h - h - 7*h) - 9*h**3 - 8 + 8 + (4*h - h - 5*h)*(-h**2 - 2*h**2 + 6*h**2).\nAnswer: -39*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -8. Solve -2*a = 2*u - 8, -2*a + b*u - 6 - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 8*l - 1560. Let a(d) = -9*d + 1533. Determine -5*a(b) - 6*z(b).\nAnswer: -3*b + 1695","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/3 and -16\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 16 = -5*t, -4*t = -5*y + 34 - 40. Solve -t*j - 7*j = -33 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 8:08 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 13\/21 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -164034 or -164127?\nAnswer: -164127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17 is divided by 4 - ((-20)\/5 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15996 + -2255417\/141. Calculate the common denominator of 137\/18 and d.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 765*q - 15050 = 335*q for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2184*u - 33 = -2217*u. Let j(v) be the first derivative of -3\/2*v**2 + 3 - v. Give j(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -1\/30*z**5 - 1\/3*z**3 + 5\/2*z**2 + 0 - z - 1\/6*z**4. Let r(o) be the first derivative of c(o). Factor r(a).\nAnswer: -2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 33157 - 4986. Is t a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -211.726 - -0.526. Let h = v + 211. Which is the biggest value?  (a) 0.4  (b) -3\/4  (c) 1\/2  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 times -0.6?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/7, 140945, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do 23396 and 23391 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 119030832 from -2817992.\nAnswer: -121848824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bllllllllbbbll. What is prob of picking 2 b and 2 l?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1591 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 189856.68 months to decades.\nAnswer: 1582.139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (38 + 73 - 12)*((0 + 3 - 1)*(-2*t + 0*t - t) - 3*t - 10*t + 2 + 10*t) to x*t + a and give x.\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 376542162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 187569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6998 + 7118. Calculate the greatest common factor of 3960 and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40901087 + -0.3\nAnswer: -40901087.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -20*1*(5 + 84\/(-16)). Let f be (-5)\/5 + (-1 - -4). What is the third derivative of -7*p**6 + f*p**6 + k*p**2 + 0*p**6 + 3*p**6 wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x**3 + 45*x**2 - 216*x - 114. What is h(14)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 2 n when four letters picked without replacement from {h: 2, n: 2, e: 3, z: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (2*2*sqrt(363))**2 + ((sqrt(3) - (sqrt(3)*2 - sqrt(3)))*1 - (sqrt(3) + sqrt(3)*1)*3)**2 + 3.\nAnswer: 5921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -119 + 1311 - 538 - 8*v + (2 - 1 + 1)*(2*v + 4 - 4) as s + b*v and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*b**3*z**3 + 1631*b**3*z**2 - 23*b**2*z**3 + 2*b**2*z**2 + 6*b*z**3 wrt z?\nAnswer: -42*b**3 - 138*b**2 + 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 577900 = 5*b, 30*i + 1155810 = 34*i - 5*b. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wfffffqqffqffq. What is prob of picking 1 f, 1 q, and 1 w?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a02 - 6?\nAnswer: -a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 252859?\nAnswer: -252863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 1, -855, -0.2 in increasing order.\nAnswer: -855, -0.2, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*x + x + 84*x**2 - 450*x**2 - 9*x - 151*x**2.\nAnswer: -517*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 3 + 6 + 7989*l + 7.\nAnswer: 7989*l + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of 3*u**2\/2 - 3*u - 13. What is d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*m = -3*m + 145551. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -1574*o - 284889. Let f be m(-181). Factor 1\/4*v**2 + 0 - 3\/4*v**3 - 1\/4*v**4 + 1\/4*v**f + 1\/2*v.\nAnswer: v*(v - 2)*(v - 1)*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.632*16.983.\nAnswer: 10.733256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 - 8. Suppose 3*i - 12 = 0, -h*m + 56 = -2*m - i. Let s = m - -8. What is the remainder when s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 3*o - 237 = 0, -3*y + 2*o + 236 = 4*o. Suppose 80*m - 21462 = -6902. What is the greatest common divisor of m and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*r**2 + 350*r**2 + 7*r**2.\nAnswer: 370*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-2)*4\/12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2310 = -54*p + 12*p. Let y(s) = -s**2 + 62*s + 12. Let r be y(p). Does -1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -43867 - -66844. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*i + 326*i + 4564 = -1304*i - 82874 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 989273046.\nAnswer: 2, 3, 223, 443, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3*u = 10, 2*h - 5*u = -4*u + 5. Let v(n) = -h - n**3 - 54*n + 25*n + 30*n. Let y(i) = -6*i**3 + 7*i - 4. Give 4*v(b) - y(b).\nAnswer: 2*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2303432?\nAnswer: 2, 17, 16937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 11277 (base 8) to base 5\nAnswer: 123144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4846 + 4850. Solve a = -3*s + 2*a - 2, -8 = -2*s - q*a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-4\/7)\/d**(6\/5))\/((d*d\/((d*d*d*d\/d**(-11\/6)*d)\/d))\/(d**(-3\/5)*d*d)) assuming d is positive.\nAnswer: d**(727\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 199*v - 9. What is q(-1)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(720) + 0 + sqrt(720)) + 2*(sqrt(720) + 2))**2.\nAnswer: -768*sqrt(5) + 46096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 + 158. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v + 24 = -5*v - 4*y, 41754*v + 3*y + 18 = 41744*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/15 or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, -6\/7, 8.168, -0.2?\nAnswer: 8.168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 56 + -5. Let l = -47 + v. What is the nearest to 8 in 2, l, 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -122, -229, -334, -437, -538?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-204)\/5 - -28*(-2270)\/(-1589)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of -76\/5*h**5 - 148*h + 0 + 16\/3*h**3 + 0*h**4 - 48\/5*h**6 - 5\/3*h**7 + 0*h**2. Find d, given that x(d) = 0.\nAnswer: -2, -2\/5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 33*c**3 - 5*c**2 + 10*c + 68. What is h(-4)?\nAnswer: -2164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 160459217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 355 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12215 - -22?\nAnswer: -12153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 2*s - 20, -5*s + x + 82 = 4*x. Suppose -3*g + 12 + 0 = 0. Calculate the lowest common multiple of s and 299\/g - (-42)\/(-56).\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*2*(-2)\/8. Solve -4*h + 4*z + 0*z + 20 = c, -5*h = 5*z + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**1\/d**(-1) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of -1259*t**4\/4 + t**3\/3 + 161*t**2 + 2642. What is the third derivative of k(p) wrt p?\nAnswer: -7554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 54, 131, 222, 333, 470?\n\"Answer: r**3 + r**2 + 67*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8946 - -1153?\nAnswer: -7793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 4:21 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = -6*p - 4. Let y(s) = s**2 + s - 4. List the prime factors of y(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -3*j**3 - 23*j**2 - 18*j - 18. Let u be p(-7). Sort 3, -23, u, 5 in ascending order.\nAnswer: -23, 3, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 + m - 8. Let l(w) = 24126*w**2 + 3*w - 24. Calculate -l(o) + 3*x(o).\nAnswer: -24123*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7\/((-3)\/(-2 + -4)). Suppose -3*m = -71 + x. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8076 divided by 10044.\nAnswer: 673\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -24*l**2 + 7. Let v(h) = -24*h**2 + 6. Suppose 3*n + 3*i - 24 = -5*n, -4*n + i + 32 = 0. Calculate n*v(g) - 5*q(g).\nAnswer: -24*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2343 divided by -172\nAnswer: 2343\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 19, -1, -26, 3, -67, -2.\nAnswer: -67, -26, -2, -1, 0, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (102\/32895*43)\/(14\/(-10))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 536197?\nAnswer: 17, 31541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/258310 and 79\/7284342?\nAnswer: 36421710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 26415984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 10:47 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 483 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 9\/76 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + (-15)\/12 + (-3)\/(-12). Suppose 4*u = p - 20, 0 = -u - 3 - x. Solve -p*n = 4, 0 = -3*h + 2*n - 7 + 21 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53948 + 161939 = 47*s + 53643. What is s rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -1101*v**2 - 22*v + 1541. Let j(u) = 826*u**2 + 16*u - 1156. Let i(o) = -8*h(o) - 11*j(o). What is the first derivative of i(b) wrt b?\nAnswer: -556*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2729*w = -2703*w - 754 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8938435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3436015*u**3*z**2 + 3*u**3*z - 13*u**3 + 772388456*u**2*z**2 wrt u?\nAnswer: -20616090*z**2 + 18*z - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -229*x + 226*x + 63. Let i = x + 200. List the prime factors of i.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 13546, 26817, 40088, 53359, 66630?\n\"Answer: 13271*a + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.282 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -1100002020?\nAnswer: 1100002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3\/7 + 1016*g**2\/7 - 17053*g\/7 + 9990.\nAnswer: -(g - 999)*(g - 10)*(g - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7660 + -7659.5. Which is the closest to -0.3?  (a) u  (b) -5  (c) -1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -428*o**4 + 39*o**2 + o - 357*o**2 - 12*o**2 - 432*o**4 wrt o.\nAnswer: -20640*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.1  (b) -1\/6  (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1295015 = -47*n - 973622 + 1462022. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = -2*z + 4*z - 48, -4*z + 84 = -4*s + 5*s for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 9186042.\nAnswer: 36744168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 136.0998 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -170*i + 510*i - 169*i - 6*i**2 - 171*i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1, -4, -9, -14, -19?\n\"Answer: -5*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 143001598 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 second biggest value?  (a) -113  (b) 3  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, 317\/5, 5, -0.6, -1 in decreasing order.\nAnswer: 317\/5, 40, 5, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 674017 to the power of 1\/2, to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1532 - 2401?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 258*a - 487*a = -284*a - 245*a + 600. Let -246\/5*h**a - 20172\/5*h - 1\/5*h**3 - 551368\/5 = 0. What is h?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.119 minus 2?\nAnswer: -2.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 2122 = 2*k + 7*c, -c + 5325 = 5*k. Suppose 9*v - k - 1265 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -u + 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.204389 and 3.\nAnswer: 3.204389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/20 and 47\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o + 8. Determine w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2 - 7*a + 3. Suppose 2*g - 4*s - 5 = 1, -g + 17 = 5*s. Let r be p(g). Let o(t) = 2*t**2 - r*t**2 + 1 - 2*t + 2*t. Give o(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123*j**2 - 3 + 3 + 94*j**2 - 278*j**2 - 67*j**2 + 95*j**2.\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00063762825 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or 1233\/4?\nAnswer: 1233\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - (12 - (16 - (0 - -11) - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, e: 3, w: 2, s: 6, n: 1, k: 2}. Give prob of sequence ns.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/15, 3\/4, 14, -3, 1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 504 or 502?\nAnswer: 502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1\/4  (b) -4  (c) 2  (d) 290  (e) 0.105  (f) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 1 = -5, 3*w - 377 = -2*h. Let v = h + -163. Let s = -3 - -6. What is the highest common divisor of v and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1167 to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1601 * -140151\nAnswer: -224381751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 103 = 2*u, -u = -3*u + 8. What is the remainder when 54 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - -381?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -67, 1\/3, 2 in ascending order.\nAnswer: -67, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c**5 + 0 + 0)*(-1 - 4 + 4)*(6 - 33 - 14).\nAnswer: -123*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9902*h = -9921*h + 266 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - -2.06. Let n = t - -4.94. Let k = n + -5.4. Which is the closest to 1?  (a) 3\/4  (b) k  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 1 - 1. Let l = -3 + r. Let p = 1.8 + -2.2. What is the smallest value in p, l, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 AM and 5:20 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14.45 + 14. Let q = -0.25 + 0.3. Let z = q + n. What is the closest to 1 in 2, z, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*c**2 + 18*c**2 - 4*c**2)*(-2 + 3*c + 2) + (21*c**2 - 7*c**3 - 21*c**2)*(2 - 3 + 0) to o*c + a + j*c**2 + v*c**3 and give v.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3762 divided by -57.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**5 + 0*m**4 + 0*m**4 + (3*m**4 + 0*m**4 - m**4)*(-5*m + 5*m + 9*m) + 3*m**5 + 0*m**5 - m**5.\nAnswer: 21*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9912846mg in grams?\nAnswer: 0.0009912846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4903*r - 258755 - 172458 + 19360 = -24516 for r.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1371 and 76.02.\nAnswer: 10.422342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4366287 and 54664?\nAnswer: 34930296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 748?\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2096752 by 2096752.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -45 or -1250\/27?\nAnswer: -1250\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7530744l in millilitres?\nAnswer: 753.0744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -473 - -11369\/24. What is the common denominator of l and -59\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((2\/6)\/(8\/18))\/3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 PM and 7:39 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3761, -76, 4 in increasing order.\nAnswer: -76, 4, 3761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -2*i - 0 + 1, -11*i + 13 = -343*j + 346*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*m, -3*n + 4*m + 4 = 2. Let f(g) = 17*g. Let w be f(n). Let b be w\/153 + (-164)\/(-9). Calculate the greatest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of -145*a**3\/3 + 4*a**2 - 6087*a. Let n(j) = -2*j. Determine s(n(u)).\nAnswer: 580*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 33*z = -31*z, 0 = 2*n - 23*z + 38 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -311*s**5 + 1980*s**3 - 3*s**2 - 4074*s + 8268?\nAnswer: -6220*s**3 + 11880*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -17*m**2. Let w(g) = 40*g**2 - 13*g. Let d(i) = -9*i**2 + 3*i. Let c(l) = -26*d(l) - 6*w(l). What is c(x(s))?\nAnswer: -1734*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6794 and 16102.\nAnswer: 54698494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 0.17.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -u - 3*a + 19, -5*a = 20. Suppose 9*g - u = -1. Find the second derivative of -g*c - 137*c**2 - 4*c**4 + 133*c**2 - 8*c wrt c.\nAnswer: -48*c**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dedm when four letters picked without replacement from ddeeeedeemmd?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10011111001011010110001 (base 2) to base 13.\nAnswer: 1108159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/((r\/(r\/r**34))\/r))**(-5\/13)\/((r*r**(-11)*r)\/r*(r\/(r\/(r**(21\/4)*r)*r))\/r) assuming r is positive.\nAnswer: r**(939\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 2*z = -19, -3*l + 2*z - 15 = -z. Let a(m) = 2*m**3 + 3*m + 3. Let g(f) = f**3 + f + 1. Let k be 10\/(-4)*(-92)\/230. Give k*a(d) + l*g(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -46282447 times 0.5?\nAnswer: -23141223.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 - 7*b - 11. Let c be n(-5). Suppose -3*q - 1 = -2*q. What is the nearest to q in -3\/7, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 96726, 679, 4 in descending order.\nAnswer: 96726, 679, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wkb when three letters picked without replacement from vqqqswkvbvw.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5351 - -5403. Calculate the remainder when 8111 is divided by o.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 36*h - 10. Let g(n) = n - 1. Determine -f(d) + 10*g(d).\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -3*r**3 - 30*r**2 + 5*r + 4. Let a(w) = 2*w**3 + 15*w**2 - 3*w - 2. Suppose k = -4*i - 27, -2*i - 177 = k - 162. What is k*g(o) - 5*a(o)?\nAnswer: -o**3 + 15*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(1\/6)*s\/(s\/(s*s**(-5)\/s*s))*s)\/(s**(1\/2)*s*s)**(-7\/4))**(4\/3))**12 assuming s is positive.\nAnswer: s**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18599 - 8559. Suppose 6*a - 26*a + d = 0. List the prime factors of a.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -5, -4, 1.\nAnswer: -14, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22846, -45698, -68550, -91402, -114254?\nAnswer: -137106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-84))\/(9\/(-10)*(-22)\/(-231))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 80241962543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 8:43 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d**3 + 237112*d**2 + 474212*d + 237104 = 0. Calculate d.\nAnswer: -59276, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3235 or -0.0088?\nAnswer: -3235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1464490748.\nAnswer: 2, 7, 52303241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1230 (base 5) in base 6?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -43 + 178*x + 107 - 70 + (0 + 2 - 3)*(-9*x - 10*x + 6*x) to p*x + z and give p.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5 - 6)*6*30\/60. Let q(o) = o**2 + 9*o + 2. Let x(g) = g. Give w*x(r) - q(r).\nAnswer: -r**2 - 12*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-117)\/(1128\/(-48) + 19))\/(0 - 1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 116138551.\nAnswer: 47, 2471033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/188 and -77\/3666?\nAnswer: 7332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.2, 0.4, -0.1324 in increasing order.\nAnswer: -0.2, -0.1324, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/9  (b) -18  (c) -0.1  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 204\/(-34) - (-44)\/6 - 50410\/(-15)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -9  (b) -448  (c) -503\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 4*k**2 - 17*k + 10. Let u = 52 - 44. Calculate the remainder when u is divided by f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4369.915ng to grams.\nAnswer: 0.000004369915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -104 + 176. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2970*y + 2312*y + 13160 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = -3*l + 3*x - 7, -5*x + 1 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -132.562199 and -0.1?\nAnswer: 13.2562199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 3*f = 1771 + 2455, 4*o = -3*f + 16934. Suppose 6*r = 12406 + o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 y, and 1 q when three letters picked without replacement from qqaiiyq.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42 and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 721172101 * 5.\nAnswer: 3605860505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 189, 283, 395, 525, 673?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o = -0*o - 30. Let l(s) = 6*s. Let z(w) be the second derivative of w**3\/6 - 2*w + 87. Calculate o*z(a) + l(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1031 - -1543. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -3*b - 180, -9*b - 3*a = -14*b - 268. Which is smaller: 0.3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2710.999998629 - 2711. What is u rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6588648817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8831 is divided by 8574.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1132, 1125, 1116, 1105?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 minus 18956421769234?\nAnswer: -18956421769234.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*x = 23*x + 4*w + 21, 0 = -x + w + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a + 117 = -3*a + 3*y, 0 = 3*a + y - 67. Solve -5*c = -1 + a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3414529009 take away -10?\nAnswer: 3414529019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, 4, -3, -0.3, 153, 3\/493, 3\/8?\nAnswer: 3\/493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of l**3\/6 - 26*l**2 - 402*l. Let u(y) = -11*y**2. Calculate u(r(d)).\nAnswer: -11*d**2 + 1144*d - 29744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*k**3 + 6*k**3 - 4*k + 4*k.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -955*z = -555*z - 9600 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -17 - (-24 + (1 - -12 - (-537 + 522)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p - 2. Suppose -3*c + 3 = r, -3*r + 5*r - 5*c + 5 = 0. Determine x(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 AM and 2:35 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -119\/858 + -1\/66. Let f = -64 + 61.1. Let n = -2.5 - f. Put l, 3, n in descending order.\nAnswer: 3, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 22*n**2 - 6*n + 133. Let d be m(22). Solve -46*h + 47*h - d = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12697 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000000110000111010010 + -111000?\nAnswer: -1000000110001000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -143 - -27318?\nAnswer: 27185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 731053949 to the power of 1\/3, to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63 and 2709?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*u + 11*u**3 - 6*u + 44 - 45 + 41*u**3 wrt u?\nAnswer: 312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, v: 5, u: 3, d: 2, n: 5}. Give prob of picking 1 d and 2 v.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*c - 48*c - 4*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 6*u**2 + 7*u - 5. List the prime factors of l(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**3 + 5*b + 38*b**2 - 3*b + 7*b**4 + 173594 - 173594 to v*b**3 + d*b**4 + g + m*b**2 + x*b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -231042 (base 6) to base 5\nAnswer: -1112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j + 8 - 8)*((2*j + 3*j - 3*j)*(2 + 2 - 5) - 2*j + 3 - 3)*(1 - 1 + 2*j**2).\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 7*p - 6*p + 3850, 0 = -5*f - 3*p + 6398. Suppose 5*r - 1591 = -0*r + 2*s, 4*r + 3*s = f. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of v**3\/3 + 5*v**2 + 17*v - 834. Let o be 21\/(-3) + 1*-1. Let i be g(o). What is the greatest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 3:21 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 2*n - 15, -5*n = 3*a - 14 - 1. Suppose 7*p - 4*p - 3 = 0. Let b = p + 6. Calculate the remainder when b is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 9*x**2 - 35*x + 45. What is the thousands digit of u(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 2*b + 154 = 0, 2*b - b - 103 = -2*a. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-3))\/(-50)*(-135)\/(-54).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v - 2. Let h be g(3). Let n be 14\/(-10)*(-7)\/(294\/24). Is n bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 6. Let c be 71 - ((-9)\/3 - -4). Let z be ((-2)\/(-1))\/(28\/c). Solve 4*l = 2*h - 14, -z*l = 12 + g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-2\/17))**(-10\/7)\/((v\/(v*v**(-5\/2)))\/(v\/(v*v\/((v*v**(-12))\/v*v)*v))))**(-1\/93))**(11\/6) assuming v is positive.\nAnswer: v**(40139\/132804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.16 - 385.84. Let h = u - -253. Let l = h - -138.00000108. Round l to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -203 = 3*p - 197 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2583 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/19 and 36\/9385.\nAnswer: 178315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1\/2 - 15\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 1430 = -261*m + 62*m - 158, -34 = -5*l + 3*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -103\/91 - -11\/13. Let y(u) = -6*u**3 + u. Let p be y(-1). Suppose 0*o + 8 = -z - p*o, 3*o + 9 = -2*z. What is the third biggest value in z, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(175)*-1 - (sqrt(175)*1 + -2) - (2 + (sqrt(175) + (sqrt(175) - (sqrt(175) - (2 + sqrt(175)))) + -3)**2).\nAnswer: -706 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 + -17. Let p be (l - -2)*(-4)\/6. Suppose 0 = -0*x - p*x + 20. Solve 4*q + x = 9*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53 = -15*k - p, -k - 40 = 2*k - 80*p + 76*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2216*r - 135171. Determine i(-61).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 93.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 19094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 2 = -4*r. Let g(c) = -5*c**3 - c**2 + 3*c - 17. Let b(x) = -2*x**3 + x - 6. Let q(d) = -8*b(d) + 3*g(d). Calculate q(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 2*s = 4*r - 196, -5*r = 4*s - 232. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 226483 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3334222 + -10?\nAnswer: -3334232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 55661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34 - -3) + (-16 - -2) + 64.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -b + 5*d, -5*b - 2*d + 647943 - 647951 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1675923 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of -3*p**2 - 3*p - 2\/3*p**3 + 0 + 1\/12*p**4. What is g(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -420 divided by -2\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10\/(-120) - (-31919999)\/(-12). What is o rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3301?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 4 + -6 + 8. Let w = 5355 + -5349. Solve 8*t - i*t = -w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -45*r**2 + 20*r - 5167. Let p(z) = -16*z**2 + 7*z - 1723. What is -6*l(s) + 17*p(s)?\nAnswer: -2*s**2 - s + 1711","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -60*z + 20. Let u(r) = 3*r - 4. Let x be u(5). Let l be k(x). Let y be ((-15)\/(-10))\/(4\/l). Round y to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/114954 and 31\/63.\nAnswer: 344862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 686 minutes before 6:48 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.029 and 88774.\nAnswer: -2574.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -643.8 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30 + 20. Let s be 776\/9 + z\/45. Let y = s - 72. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 109267 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 11:36 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -166490, -333006, -499536, -666086, -832662?\n\"Answer: -y**3 - y**2 - 166506*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2526, -10094, -22706, -40362, -63062, -90806?\nAnswer: -123594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u**2 + 1741*u - 32718 = 0. What is u?\nAnswer: 19, 1722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 88 and 946?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -4  (b) 3  (c) -1  (d) -0.4  (e) -1867\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wp when two letters picked without replacement from pwwzpzzwz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 718, 3, 1 in descending order.\nAnswer: 718, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 14) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/p**(1\/4))\/p)**20*(p**(10\/9)\/p)\/((p*p*p**(5\/7)*p*p*p)\/p*p))**(1\/53) assuming p is positive.\nAnswer: p**(-668\/3339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -487 + 473 - 434\/(-42)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.3 + 0.28. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -31*d**2*f**3 - 2*d**2*f**2*r - d**2*f*r + d*f**2 + d - 7*f**3*r + f**3 wrt d?\nAnswer: -62*f**3 - 4*f**2*r - 2*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, z: 5, v: 3}. What is prob of picking 3 v?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-18))\/(1\/2). Suppose -9 + 1 = -4*g. Suppose -v + g*v = 5. What is the biggest value in v, n, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13.85248 decades to years.\nAnswer: 138.5248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 - 16*z**2 + z - 19. Suppose -3*s + 9*s - 192 = -96. What is u(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 31 = -3*j, 8 + 2 = 2*j. Let w(q) = -2*q**3 - 13 - q + 3*q**2 + q**3 + 11*q**2 + 3*q. Calculate the remainder when w(14) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -237, -2357, -8185, -19599, -38477, -66697, -106137, -158675?\nAnswer: -226189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1645 - -833. Let n = u + 812.1588. Round n to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1\/4  (b) 1.455  (c) 2\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -67 divided by -6\nAnswer: 67\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -101, -99, -83, -47, 15, 109, 241?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -117 - -124. Let z(m) = -v*m**2 - 144 - 2*m + 282 - 138. Let f(a) = 3*a. What is z(f(t))?\nAnswer: -63*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1131, 39, 5 in ascending order.\nAnswer: 5, 39, 1131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 112536 and 1809.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + g + 314, -4*g = 10 - 2. Suppose 0*m = 5*y - m - 260, 3*y - l = -5*m. Let a = 20 + y. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -157 - -346. Suppose 3*l + 4*y = 5*y + 189, -4*l + 3*y = -252. Suppose 8*m = 5*m + l. Calculate the greatest common factor of d and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.0002  (b) 1\/3  (c) -8\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001816 to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8756670 and 5928?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 611 = -51*d + 713. Factor 24\/7*p + 36\/7 + 3\/7*p**d.\nAnswer: 3*(p + 2)*(p + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -242*x**6 + 6*x**3 - 15102*x**2 + x wrt x.\nAnswer: -29040*x**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 12) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 9, 5\/4, -3, -14.\nAnswer: -14, -5, -3, 5\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d*((d*d**11*d)\/d)\/d)*d)\/d)\/((d\/(((d\/(d**(9\/4)*d))\/d)\/d))\/d))**(-41) assuming d is positive.\nAnswer: d**(2501\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/(45\/(-12)))\/(12\/(-60)). What is the units digit of -4 + (-334)\/u - 3\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 9*x - 15. Let q be w(2). Suppose -4*k = -17 - q. Let g(j) = -j**2 + 11*j - 23. Let r be g(k). What is the greatest common divisor of r and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1912204 divided by -4.\nAnswer: -478051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 144\/(-6) + (-9)\/12 and 51\/58?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + -5 + sqrt(7) + sqrt(567) + (-5*4*sqrt(14) - sqrt(14))\/sqrt(2)).\nAnswer: 3 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 3*y**3 - 35*y - y**3 + 43*y - 3*y**3 as p*y**2 + i + m*y**3 + k*y and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2048 and 28720?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -13. What is the third derivative of -3*f**o - 3*f**2 - 5*f**5 + 4*f**2 - 3*f**2 wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m**2. Let z(l) = -9*l - 3. Let a be z(-3). Let p(i) = -4*i**2 + 24*i. Let s(t) = -t. Let d(k) = a*s(k) + p(k). Calculate d(j(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 + -3 + 10)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 689070 is divided by 98433.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 3539*g + 2341*g + 2083*g + 446*g - 40*g in the form q*g + o and give q.\nAnswer: 8369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13963\/4 - 3510. Find the common denominator of c and -53\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**4\/9 - 3800*g**3 + 34196*g**2\/3 - 102584*g\/9 + 11398\/3 = 0. What is g?\nAnswer: 1, 17097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/8 + (-2)\/(-8))\/(1738\/3476)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98007*t - 1708 = -97943*t - 443 + 975 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eez when three letters picked without replacement from ebsbsbebzjs?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/855?  (a) 3  (b) 0.5  (c) 2\/3  (d) -0.5  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12987 - 36438 = -109*l + 65897. Calculate the greatest common divisor of 828 and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 19543074793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 12:54 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -6, -126, -3 in decreasing order.\nAnswer: -2, -3, -6, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 52253549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 2 = -2*n - 5, -4*n = -3*s - 1. Let j be 6 + -5 + s\/(-1). Suppose -2*f - 2 = j, f = -g - 2*g + 38. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qiiu when four letters picked without replacement from {c: 1, k: 1, q: 1, i: 2, j: 1, u: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4.98, 1\/4, 4?\nAnswer: -4.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 4796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136 = -t + 3*t. Let l = 22 + t. Is -46 equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -379441, -379442, -379443, -379444, -379445, -379446?\n\"Answer: -v - 379440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 310030339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8292117359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 856 - 2\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24*14\/84*(-9)\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -121165.46972 to the nearest 10.\nAnswer: -121170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 171074031 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 415718257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 PM and 6:22 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 7:52 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8651\/27 + -320. What is the third biggest value in 1\/3, o, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -390 + 390. Solve 16*m - 9*m - 28 = h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 5*i = 278, 2*i = -5*j - 2*i + 1474. Let t = 316 - j. What is the least common multiple of 80 and t?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111139.\nAnswer: 7, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1024 (base 6) in base 10?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 q when three letters picked without replacement from qqyq?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) + (4*(sqrt(432) + sqrt(432) + -1*sqrt(432)))**2)*4*-4.\nAnswer: -110592 - 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**1)**(-38))**(-18)*b\/(b**(3\/8)\/b)*(b**(-6)\/b)\/b*b**2*b\/b**(-6) assuming b is positive.\nAnswer: b**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 + 12*d - 6. Let b(z) = z**3 + 16*z**2 + 16*z + 9. Let l be b(-15). Is c(l) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-5) + (-3268)\/(-20). Suppose -4*a + 36 = b - 0*b, 4*b - 3*a - u = 0. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1070, -2144, -3216, -4286, -5354?\n\"Answer: d**2 - 1077*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 50*g - 1. Let i = 58 - 24. Calculate the remainder when q(2) is divided by i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 146521518281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*r**4*u - 3*r**3*u**3 + 22*r**2*u**3 + r**2*u**2 + r**2 wrt r.\nAnswer: 264*r*u - 18*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 48\/21 + (-24)\/(-14) - 8280\/(-207)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -1. Suppose -v - z - 3 = 0, z + w + 5 = v. Let j be (2 - v)*0 - -5. Solve 4*h - 4*r - 5 = 11, -j*h + 2*r + 17 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((27\/(-21))\/(210\/(-245)))\/(-4 - -1))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 23331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - b - 5 - 63, -o + 5*b + 4 = 0. Let r = 17 + o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10587838 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02 + -8897.1.\nAnswer: -8897.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + -88?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/9 + 308\/21. Suppose 0 = 3*q + m + 324. Let n = q - 94. Round n to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + 8*b - 25. Calculate the remainder when h(14) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43 + 54. Suppose -u + u = m*u. Are 4\/15 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*k = -k - 42. Suppose -k*b = -g - 188, -5*b + 5*g + 184 = -2*b. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50*h - 24*h - 186*h - 46*h.\nAnswer: -206*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 16) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 170341, 340677, 511013, 681349, 851685, 1022021?\nAnswer: 1192357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 116873*k**3 - 233075*k**3 + 116604*k**3.\nAnswer: 402*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 9*q**2 - 33*q - 15. Calculate g(-8).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j. Let q(p) = 11304*p**2. Determine m(q(u)).\nAnswer: -11304*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -5*j + 2*x - 39, 3*j = 2*x - 23. Let t = j + 11. Suppose -21 = -7*z + t*z. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 626 - -128. Let w = x - 423. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23522 - -23571. Solve 4*d = 5*o - 30, -c*d + 5*o - 25 = -46*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3885*r**5 + 2*r**2 - 99*r - 3.\nAnswer: -233100*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(4\/13)\/s**3)\/(s**(-10)*(s**(-16)\/s)\/s) assuming s is positive.\nAnswer: s**(329\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30\/((-65)\/(-15) - 4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-312)\/(-54) - (14 - 8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 163348, 326617, 489888, 653161, 816436?\nAnswer: 979713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -207.2379131 rounded to one dp?\nAnswer: -207.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106710743.\nAnswer: 73, 1461791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 2*s + 30. Suppose -s = -3*m + 8. What is the least common multiple of 8 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2*n - 16. Let s be w(12). Solve s*v - 4*v = -20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of -k**6\/720 + k**5\/40 - k**4\/12 - k. Let x(y) be the third derivative of c(y). Let p be (-1)\/3*(-264)\/(154\/(-7)). Give x(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -812.023 and 36.\nAnswer: -776.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 2*v**3 - 36*v**2 - 4*v - 36. Let h be x(18). Is -0.2 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2 + 2*v + 3. Let j be h(-3). Suppose -u = -0*u - j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -580a - -169?\nAnswer: -5671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 15*q**3 - 760*q**2 + 495*q + 250 = 0. What is q?\nAnswer: -1\/3, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 - 3*t + 1. Let f(x) = -338*x**2 - 41*x + 9. Determine f(c) - 13*r(c).\nAnswer: -325*c**2 - 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/4)\/(6\/40). Let q(f) = -f + 6. Let s be q(3). Let n = -9 + 9. Solve n = -k + s*k - a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 870.6646966 rounded to the nearest 10?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7912 and 80?\nAnswer: 79120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -40111 - 2143341?\nAnswer: -2234002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 53, 222, 621, 1364, 2565?\n\"Answer: 19*p**3 + p**2 + 33*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of t**3\/6 - t**2 - t. What is the units digit of k(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 2 + 14 = 0. Suppose 14 = 5*v - 1. Let z(f) = 6*f + 2*f - v*f - 3*f. Determine z(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -454*s + 454*s - 90*s**2 - 2 + 2 in the form g*s**2 + y*s + f and give g.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**9*z**(-5) assuming z is positive.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.955 to one decimal place.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -43, -0.2, -45\/2, -2\/9 in decreasing order.\nAnswer: 22, -0.2, -2\/9, -45\/2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a factor of 61374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of -148*q**4 + 11*q**3\/3 - 183*q**2\/2 + 7839. Find the third derivative of u(y) wrt y.\nAnswer: -3552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23939 = -5*q - 3*x + 49746, -5*x - 14737 = -q. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -536 times -20377?\nAnswer: 10922072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -16287998.4 to the nearest ten thousand.\nAnswer: -16290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 276?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fppp when four letters picked without replacement from pppfpfp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -4*a - 264, 5*a + 214 = g - 104. Let r = -27 - a. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 775.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6 - -17 - 14)\/((-6)\/10). Solve -2*o = -3*o, 5*r + w = 3*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*t = -43*t - 1488. Calculate the remainder when ((-345)\/(-8) - 0) + 7\/(-56) is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2. Let t(i) = -1925611656*i. Give d(t(m)).\nAnswer: -3707980249723062336*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f - f - 3 = 2*h, -5*f - 4*h + 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 752*k**3 - 178 + 596*k**3 + 3*k - 3*k - 1088*k**3 wrt k.\nAnswer: 780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36 - -34. Let g = 2.5 - 3.5. What is the smallest value in -1\/6, g, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 + 7*u + 5. Let k be q(8). Let w(r) = r**3 + 2*r**2 - 7*r + 1. Is 2 a factor of w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 684599672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {s: 14, m: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3212 times -5?\nAnswer: 16060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (767 + 63*s**3 - 767)*(4*s - 5*s + 2*s) + (6*s**3 - 3*s**3 - 2*s**3)*(0*s - 4*s - 3*s).\nAnswer: 56*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 - 1. Let z be j(2). Suppose s - 4*s + 30 = 0. Suppose 0 = 2*q + 3*q - s. Is q less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1422336178 to the nearest integer?\nAnswer: 37714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (10 - 3) - (-25 + 21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 less than -0.609?\nAnswer: -8.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1617847 is divided by 231097?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 4 - 446*v - 24 + 20. Let l(d) = d. Determine l(s(t)).\nAnswer: -446*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4100282 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2624120520 rounded to the nearest 100000?\nAnswer: -2624100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71917.34 kilometers to micrometers.\nAnswer: 71917340000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 PM and 7:43 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7755 and 1724853?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 710 + -662. Calculate the least common multiple of (-2 + 5*-2)*(-24)\/p and (1\/(-1))\/(1\/(-8)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 7:12 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -622631 by 198.\nAnswer: -622631\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + 8. Let w = h + -10. Let d = 7.1 - -0.9. Sort d, -0.1, w.\nAnswer: w, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 570776.7l?\nAnswer: 570776700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49992.\nAnswer: 2, 3, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o + 2*o + 6*o**5 - 2*o + (-o**3 - 1 + 1)*(-o**2 - 2 + 2) + 2*o**5 + 4*o**5 - 4*o**5.\nAnswer: 9*o**5 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03341 rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) -3\/14  (c) 177  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/18333452 and 25\/8.\nAnswer: 36666904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -23 in -0.197, 0, -19.3?\nAnswer: -19.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 141*c**3 - 38*c**2 - 674*c + 8?\nAnswer: 846*c - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -117, -236, -355?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nffffnfnnnnff. Give prob of sequence fn.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -231\/409184 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z + 6*z - 41*z - 20*z.\nAnswer: -58*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/2 - 37679161*z + 1419719173663921\/2.\nAnswer: (z - 37679161)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 4, 3, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 356 a factor of 1089561256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 22002 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000426802083 rounded to 5 decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 3*w + 6. Let g be j(-4). Does 4 divide 2\/g - 522\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from piippippoppzpzipiiz. Give prob of picking 1 z, 2 i, and 1 o.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -26*v - 1513. Calculate c(-56).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + q = -15, 2*j - 3 - 16 = -3*q. What is the greatest common factor of j and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 714954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, z: 1, c: 6, x: 4, g: 1}. What is prob of picking 1 g and 1 x?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1727635 (base 8) to base 5\nAnswer: 112104314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/868 greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 - 141*w**2 + 1342*w - 862. Determine o(-150).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 1098*b**3 + 8*b**2 - 2*b - 52. Let n(v) = -2196*v**3 - 17*v**2 + 5*v + 105. Let x(d) = -5*g(d) - 2*n(d). Find the third derivative of x(k) wrt k.\nAnswer: -6588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000005120801 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -5 - (13 - (11 - 3 - 14)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 - 36*g**2 + 303*g - 356. Calculate z(24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 m, and 1 x when three letters picked without replacement from {m: 5, x: 1, e: 5, j: 9}.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xyxbbcbgyybyec. Give prob of picking 1 y and 1 e.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 v when three letters picked without replacement from vvllvvvlllvvalllv?\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-60)\/(-40))\/(1\/2). Sort 1\/5, o, 2\/3.\nAnswer: 1\/5, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**17*d\/d**(4\/7)*d**(-2\/15)\/(d\/d**9*d) assuming d is positive.\nAnswer: d**(-914\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 10 - 30*j - 27*j + 58*j. Let u be s(-7). Suppose -u*p = -1 - 5. Solve -5*m + 4 = 2*l - 4*m, 3*m + 20 = p*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5647721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1052 by -2.\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -123 - -127. Let m be ((-24)\/42)\/((-4)\/14). Which is the second smallest value?  (a) -1  (b) m  (c) g  (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -289988 and -289993 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((((m\/(m*m**(1\/16)\/m*m)*m*m)\/m)\/m)\/m))**(6\/5)\/(m**33\/m**39) assuming m is positive.\nAnswer: m**(339\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, 107\/6, 5, 4, 2\/5 in decreasing order.\nAnswer: 107\/6, 5, 4, 2\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3144213 or 3?\nAnswer: -3144213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**5 - 8364*t**4 - 158194*t**3 = 0. What is t?\nAnswer: -4163, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4533073, -4533090, -4533119, -4533160, -4533213, -4533278, -4533355?\n\"Answer: -6*k**2 + k - 4533068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8629632 by 1816.\nAnswer: 4752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -33626 (base 10) to base 5\nAnswer: -2034001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 20 - a?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 5 = -4*x. Let m(f) be the first derivative of -f**4\/4 - 17*f**3\/3 + 3*f + 38. Let s be m(-17). Sort s, x, 4 in decreasing order.\nAnswer: 4, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -2 - 6. Suppose d - 2*l = -2, -46 = 5*d + 2*l - 0*l. Let k(b) = -b**2 - 9*b - 11. Let g be k(d). Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 1336 = -2*k, c = -1994*k + 1992*k + 325. Solve 0 = -c*a + 333*a - 32 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}