{"text":"Question: Suppose -24*r + 2 = -23*r. Solve -3*i = -3*h, 3*h + 5*i = -r*h + 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8670 and 5559?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-30 - 8)*(-1)\/2 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*a - 2*h - 244 = 30*a, -3*a - 5*h + 272 = 0. Calculate the greatest common factor of a and 1308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 45851373 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 118098 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -22*c - 129. Let a be v(-6). Solve -5*w + 6*w - 4 = -a*i, -4*i = -3*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 17240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14621395*m**2*t + 2*m**2 - 40405*m*t - 61*m - t wrt m.\nAnswer: -29242790*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -171745700 rounded to the nearest one million?\nAnswer: -172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13696064?\nAnswer: 2, 173, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.268718 to two dps.\nAnswer: -3.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -39 divided by 2?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*h - 1314 = -14*h - 4*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 1.0586019.\nAnswer: -3.9413981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from lvvvvllvvvl.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 3\/715, 0.1 in decreasing order.\nAnswer: 2\/3, 0.1, 3\/715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from {q: 2, y: 2, e: 2, w: 3, f: 2, n: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (-22 - 4) + 17?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 19*g - 23. Let u be w(18). Sort 1, u, 3.\nAnswer: u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = -45, k - 2 = f + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -120*(-7 + (-246)\/(-30)). Let l = 300 - z. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -104*f**4 - 5*f**3 - 742*f**2 wrt f?\nAnswer: -2496*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 926851633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {x: 4, o: 5, q: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 9 = -3*y, 3*y - 14 = 5*p - 41 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4 + (835\/(-60) - -10). Let y be 1 + (1 - 0)*-2. Which is the third biggest value?  (a) n  (b) -3  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 5*l = 19, 2*l + 5 - 19 = -4*t. Calculate the least common multiple of 10 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5 - (-1 + -13)) + -3. Let s(m) = -3*m - o*m - 2*m + 0*m. Let q(t) = 3*t. What is s(q(r))?\nAnswer: -33*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 151524231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -20478, -20498, -20534, -20586, -20654, -20738?\n\"Answer: -8*b**2 + 4*b - 20474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 396 is divided by 99?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2302?  (a) -37  (b) -1\/4  (c) 0.3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -912 + 1394. What are the prime factors of u?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-2*sqrt(81)\/sqrt(3))\/(sqrt(36)*2))*-3.\nAnswer: -12 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -178939870 - -106367763743680\/594433. Let g = d + 2349881249\/1735744360. Let q = g - -26\/365. Find the common denominator of q and 5\/44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, x: 1, z: 12}. What is prob of sequence xaa?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -160, -640, -1440, -2560, -4000, -5760?\nAnswer: -7840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(56)\/(sqrt(8) + (sqrt(8) - sqrt(64)\/sqrt(8))))**2 + (sqrt(49)\/sqrt(7))**2*2)*4.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*z + z - 3*z)*(11221 - 4760 - 5274) to the form v*z + d and give v.\nAnswer: 2374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -221201230 - -4?\nAnswer: -221201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*q + 89*q + 38*q - 534 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**2\/5 + 5284*w\/5 - 274686\/5 = 0. What is w?\nAnswer: -2693, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 4*u - 1300. Suppose -4*g + 36 = -u. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8036696612 to the nearest integer?\nAnswer: 89648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -47, -40, -39, -50, -79?\n\"Answer: -k**3 + 3*k**2 + 5*k - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.31842 * 0.4.\nAnswer: -1.727368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/3))**(-3\/43)*j**(1\/4)*j**9*j assuming j is positive.\nAnswer: j**(1771\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 0.83292287\nAnswer: 0.16707713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11\/7 + 65\/28. Suppose 0 = -44*c + 43*c + h - 6, -c + 5*h - 14 = 0. What is the closest to c in 0, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.14 - -0.26. Suppose o - 6*o = -5*f - 10, 0 = 5*f - 4*o + 7. What is the closest to f in -0.1, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1897 = x + x + 5*t, 3*x + 2*t - 2818 = 0. Let l = x - 32762\/35. Which is the smallest value?  (a) l  (b) 2\/5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1618, -6463, -14538, -25843, -40378, -58143?\nAnswer: -79138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -4*l**5 + 14612*l**4 - 376972*l**3 - 856308*l**2 + 1218672*l = 0.\nAnswer: -3, 0, 1, 28, 3627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10358.70880854 - -11.34322146. Let p = 10370 - t. Let q = -0.052 - p. What is q rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 - -16. Let d(i) = 2*i - 1. Calculate d(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000100100101 - 1010000?\nAnswer: -1000101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 + 5. Suppose -3*s + r = 3. Suppose -2*d = -2*m - 0*m + 36, 2*d + 76 = s*m. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + (sqrt(85) - ((-2*sqrt(85) - sqrt(85)) + sqrt(85)))\/sqrt(5) + -6*(-1 + sqrt(612)))*6)**2.\nAnswer: -21384*sqrt(17) + 669384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -0*b - 3*b + 2*f, -f - 2 = -2*b. Let t(k) = 4*k**3 - 19*k - 2*k**2 + 14*k + 29*k**3 + 17*k**b + 2. Is t(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 < -32537.423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 46. Let s = 113417 - 113077. Calculate the remainder when s is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/10 and -59\/2354.\nAnswer: 11770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.8 + 3. Let q = -15.3 - -15.249. Let d = q + -0.449. Sort -2\/5, d, o in descending order.\nAnswer: -2\/5, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + 8*t**2 - 20*t - 1. Let k be p(-10). Does 20 divide (2\/(-2))\/(k*(-1)\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 3.201 and 0.1.\nAnswer: 3.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*h + 4*h - 106. Let j = h - -34. Let x(i) = i**2 + 19*i + 38. Calculate the remainder when 74 is divided by x(j).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 6, x: 1, i: 2, r: 4}. Give prob of picking 2 i.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19\/(-20))\/(-26 - (-1161)\/45).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 34720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -8606, -17320, -26022, -34712, -43390?\n\"Answer: 6*j**2 - 8732*j + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of z**6\/120 - z**5\/15 + z**4\/8 - 5*z**3\/3 - 2*z**2. Calculate the remainder when 6 is divided by d(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -3*s + 1. Let u(m) = -m**2 - 4*m. Let r be ((-70)\/(-28))\/(-1 - 44\/(-24)). Calculate r*n(q) - 2*u(q).\nAnswer: 2*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 165504766?\nAnswer: 2, 7, 47, 251527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 23 + 354. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 - 10. Let d = o + -7.17. Round d to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gssh when four letters picked without replacement from {h: 1, j: 3, l: 3, s: 7, g: 1, x: 2}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 28070000 to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5984*s**2 - 8251.\nAnswer: -11968*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 50115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -7*j - 23 - 19 - 4*j - 40 + j**2. Let r be c(17). Solve -r = -4*t - s + 2*s, 5*s = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -34 in -1\/3, 0.2, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/4*2\/35. Let t = -41\/70 - h. Let q(m) = m - 2. Let x be q(3). Which is the second smallest value?  (a) t  (b) 1\/6  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2830529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = -9 + 29 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**5 + a**2 - a. Let u(h) = 13*h**5 + 6*h**2 - 7*h. Let b(z) = -u(z) + 6*x(z). Find the second derivative of b(v) wrt v.\nAnswer: -140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -k + 6*o + 93, -3*k + 295 = -o. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yaza when four letters picked without replacement from {y: 1, r: 1, c: 1, z: 8, a: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 110 = 6*j, 377*j - 372*j + 81 = 6*d + 3*d for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 30 = w + 2*b, 5*b + 15 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 1 = -2*g, 5*g = -x + 2*x + 13. Suppose s - x*s = -18. Suppose -q + s*q - 141 = 5*o, -4*q = -5*o - 297. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21121395?\nAnswer: 3, 5, 17, 113, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**3 + 0*p + 0*p)*(3*p - 2*p + 0*p)*(1 + 26 - 6)*(-5 + 5 + 2*p).\nAnswer: 42*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30938 and 4491.\nAnswer: 278442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, r: 1, l: 2, v: 7, c: 3}. Give prob of sequence ccl.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 166 + 7 - 91 - 16*b + b**2. Let a be d(6). Let p(y) be the second derivative of y**3\/6 + y**2\/2 + y. Let w(r) = -12*r - 11. Give a*p(f) + 2*w(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2418667, -6, -4 in ascending order.\nAnswer: -2418667, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3961*x = -18632 + 6749 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 13*h**2 - 23*h - 14. Suppose 0 = -19*o + 16*o - 45. Is u(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.5, -1\/10, -1, 201, -0.05, -0.17?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 2 - 1 = q, 12*q = -12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -3 + sqrt(2) + sqrt(2) - (-3 + sqrt(18)\/sqrt(9)))**2.\nAnswer: 10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 193943447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -2*i - 6, 17*i - 20*i - 31 = 10*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 66a6e8 + 0?\nAnswer: 66a6e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -433, 72, 587, 1118, 1671, 2252, 2867, 3522?\n\"Answer: k**3 - k**2 + 501*k - 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 4 = -1. Let h = 6 - x. Suppose -2*k - v = 3, k + h*v + 6 = -9. Is k at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 587 a factor of 1194545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-45)\/27)\/(-5)*(156\/(-112))\/13\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 5*p**2. Let w(q) = 62*q - 16. Determine n(w(r)).\nAnswer: 19220*r**2 - 9920*r + 1280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4351045714 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1195857*t**5 + 1730936*t wrt t.\nAnswer: 23917140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-48)\/(-30)*(-7 + 76\/8). Solve 2*t - q + 4*q = 22, r*t + 5*q = 40 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 + 0*n + 23033*n**3 - 6*n**2 + 2*n - 2*n**2 + 10. Let f be x(7). Round f to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/4*4\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 976125279*-0.5.\nAnswer: -488062639.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 2980 = -d + 2987, -2*d + 11 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-3\/5)\/(w**(-1\/33)*w) assuming w is positive.\nAnswer: w**(-259\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 3*v - 94 = 0, -3*v + 24 + 36 = -3*f. Let g = f + 22. Suppose g*k + o = 3352, 5*k = -0*o + 3*o + 3364. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14186728, -56746918, -127680568, -226987678, -354668248, -510722278?\nAnswer: -695149768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1020 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: Let m(p) = -p + 9. Let r be m(9). Let j be (r + -1)*(-1)\/5. Which is the closest to -0.1?  (a) 1  (b) -5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13442697852 minus 0.41?\nAnswer: -0.54442697852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 377*y**2 + 299*y + 20. Is p(-9) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -9*h - 54. Let u(o) = -8*o - 41. Determine 6*u(w) - 5*z(w).\nAnswer: -3*w + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7898486011 rounded to two decimal places?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -1*(sqrt(272) + 3))**2.\nAnswer: -8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*s + 2)*(0 + 0 - 2 + (2 + 2 - 6)*(2 - 3 + 3) - 3 + 0 + 4 - 2 + 1 - 1)*(-2 + 0 + 4).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 912\/(-418) + 6\/9*3. What is the biggest value in -174, -0.5, o, -3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 33085280 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vqrq when four letters picked without replacement from {v: 3, q: 6, j: 1, r: 5}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of -k**4\/24 + k**2. Let f(v) be the third derivative of v**4\/8 - v**2. Give f(o(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (102*x**2 - 80*x**2 - 48*x**2)*(x - 9*x + 2*x) - 5*x**3 - 4*x**2 + 4*x**2.\nAnswer: 151*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 5, 1\/12, 0, 0.27.\nAnswer: 0, 1\/12, 0.27, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 403689*w - 403689*w + 7272*w**2 + 16.\nAnswer: 7272*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -377*j - 4. Suppose -5*w + 11 = 16. Is h(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 9*x**2 + 5*x**2 - 12*x**2 - 2 + 2*x**2. Suppose 2*v - 1 = -7. What is the tens digit of i(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 482287*q**2*v**3 - 3*q**2*v**2 - 40915*q*v**2 + 8*v wrt v?\nAnswer: 2893722*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.84, -5, -57, -0.1, -1\/4 in ascending order.\nAnswer: -57, -5, -1\/4, -0.1, 0.84, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.025985 times -10506?\nAnswer: -272.99841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 7468*m. Let s(r) = -18257*r + 9133*r + 9125*r. Give z(s(y)).\nAnswer: 7468*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 3*k - 15. Let m = -9 + 7. Let h be 99\/(-198) - (-17)\/(-4)*m. Solve k*u = 2 - h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**3 + 1965*k**2 + 483144*k + 241081.\nAnswer: (k + 491)**2*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 20\/7445787 and -57\/422456.\nAnswer: 59566296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 4\/5  (b) -1  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -0*p. Suppose j - 15 = -p*r - r, 0 = 3*r. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 318 - 318. Solve 0 + 0*f + 1\/5*f**4 + 0*f**3 + 1\/5*f**5 + v*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 + -19. Suppose 3*l - 12 = -2*m, l + l = z*m - 8. Solve -4*t = 3*b + 20, 21 = -b - m*t + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 239 = -160*t + 1679 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*s - 8*s**4 - 11*s + 2*s wrt s?\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 126819 and 4247430?\nAnswer: 267588090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1116 - 1116.1. Which is the third biggest value?  (a) x  (b) 1\/4  (c) 0  (d) -337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0*(-10)\/40 + -4 + -1. What is the smallest value in 1, f, -1\/18?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9847 and 1145.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140*g - 87401 = -616601. What are the prime factors of g?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -2\/25, -0.01.\nAnswer: -0.5, -2\/25, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.5429242 hours to weeks.\nAnswer: 0.086565025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 4*k - 48 = t, 0 = -5*t - 5*k + 30. Solve p = -p + t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 9*u**2 + 165*u + 16. Let b(r) = -28 - 107*r + 29*r - 19*r**2 - 249*r - 2*r. Let y(p) = 4*b(p) + 7*v(p). What is the second derivative of y(n) wrt n?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/4 or -1.388796?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -3*k - 1. Let o be v(-1). Suppose 0 = -0*u + o*u - 8, 0 = 4*p - 5*u - 36. Calculate the smallest common multiple of p and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1667852*o**2 + 1667857*o**2 + 15 - 15.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -3*d + 21, -3*d + 2*d + v = -3. Put -3, d, -8 in descending order.\nAnswer: d, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 11030840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/4)\/(2\/(-164)). Let c(b) = b**3 + 4*b**2 + 3*b + 3. Let r be c(-2). Suppose r*t - p = -1. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/35*55\/(-2). Let i = 39\/128 + 415\/896. Let d = y - i. Calculate the common denominator of 6 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41256430 is divided by 588.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 221*w**2 - 151*w + 151. What is t(1)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d - 1. Let o(v) = v**2 + 4*v. Let i(u) = -o(u) - 3*q(u). Let z be i(3). Sort -3\/7, z, 0.1 in decreasing order.\nAnswer: 0.1, -3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -47636, -95416, -143328, -191378, -239572, -287916, -336416?\nAnswer: -385078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 - 53*s - 44. Is p(-32) a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -39 - -72. Let z = -32 + i. Let p = 3.1 - 3. What is the nearest to p in z, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-45)\/27 - 26\/(-9)*3. Suppose -2*h + 288 = k*h. What is the lowest common multiple of 8 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 57 - -12. Let y = u + -4. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -7*m**2 + 1183*m + 308. What are the prime factors of j(154)?\nAnswer: 2, 7, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 4*c + 340, -2*d + 3*c = 2*d + 305. Let f be (9\/(-4))\/(2\/d). Let s = 107 - f. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7963a2 (base 14) to base 8\nAnswer: 17575732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*w)*(3 + 10*w - 3).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15548\/25 - -622. Let z = r - 68\/225. Which is the closest to -1?  (a) 2\/7  (b) z  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p. Let b be q(0). Suppose -2*o - 6 = 5*c - c, o + c = b. Calculate the greatest common divisor of o and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fo when two letters picked without replacement from fkkfkoffffkkkoo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14823 - 128?\nAnswer: 14684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = -2*h + 3*h. Let q be -4 + -3 + -4 + (-29)\/(-1). Suppose -b + h = q. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -18 and 0.024?\nAnswer: -0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*f + 12147 + 106384 = 0. Does 49 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 88800 - 6637. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 559 - 557.21. Let m = w - 5.79. What is the biggest value in 0.5, m, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 1) + -172 + 161?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 7*k - 3*k - 21, -k - 12 = 5*q. Let c be 5\/15 + (-17)\/q. Let h be 26\/c + (-1)\/3. Solve -h*m - m = 2*p + 31, 2*m + 4*p + 22 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 41598 in 0.5, 1.3, 1, -4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1371742255 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 242 = -4*r. Suppose 19*o + r = 15*o. Let y(z) = 2*z**2 + 22*z + 36. List the prime factors of y(o).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, t: 2, q: 2, o: 2, b: 1, d: 1}. What is prob of picking 1 t, 1 o, 1 b, and 1 q?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2211957 is divided by 442385.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 144691974 to the nearest one hundred thousand.\nAnswer: 144700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3*b**2 + 3*b**2 - 13*b**2 + 8*b**2. Let g(j) = 21*j**2 - 20 + 40 - 19. What is d(g(h))?\nAnswer: 441*h**4 + 42*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 351 and 1287.\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 298*w**3 + 185?\nAnswer: 894*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02*3694.\nAnswer: -73.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -15*i - 3. What is the tens digit of v(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -k**5\/20 + 3*k**4\/4 - 3*k. Find the third derivative of a(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 413.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwyf when four letters picked without replacement from ypfpww?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 659653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/6 - (-4)\/(8\/6). Suppose -y*k = -98 + 23. Solve a = -4*o - k + 9, -3*a - 21 = 3*o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, w: 1, g: 4, x: 12}. Give prob of sequence gxg.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -19*d - 125. Let r(f) = 9*f + 62. Give -6*i(o) - 13*r(o).\nAnswer: -3*o - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 259 - 227. What is the lowest common multiple of c and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -7951439, -7951425, -7951389, -7951319, -7951203, -7951029?\n\"Answer: 2*g**3 - g**2 + 3*g - 7951443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -170, -158, -142, -122, -98?\n\"Answer: 2*b**2 + 6*b - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*z - 52*z + 3726. Calculate the greatest common factor of z and 2997.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 6*x = 6*x + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -31*s**2 - 27*s + 27*s as x*s + z*s**2 + n and give z.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 1682420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -21, 6, -5 in ascending order.\nAnswer: -21, -5, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gpig when four letters picked without replacement from sxxxiggspx.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -810, -1551, -2294, -3039, -3786?\nAnswer: -4535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**1*y)**(13\/5))**(-33)\/((y**2)**(40\/7))**(-1\/35) assuming y is positive.\nAnswer: y**(-62983\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 72739907?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91.15624nm to centimeters.\nAnswer: 0.000009115624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 595 and 45.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -24 or -65?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 70292226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = n + 14, -4*n + 4*w + 12 = 4. Let i = 4 - n. Let o be (-48)\/(-28) - i\/7. Solve o*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5, -12, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25 by 1462773.\nAnswer: 25\/1462773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -4*b**3 + 12*b**2 + 4*b + 2. Let n(z) = 25*z**2 - 1286*z + 1295*z + 5 - 6*z**3 - 13*z**3 + 10*z**3. Give 2*n(j) - 5*y(j).\nAnswer: 2*j**3 - 10*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/50 - (-3444)\/20. Suppose 0 = -t*j + 187*j + 1995. What is j rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -2.7, -41339, 10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2393 is divided by 101.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1527 + 2835. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*k - 101*k - 1431 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -53.6 - -49.6. Let f = -3.05 + 3. Let i = 885.6 - 882.6. What is the third smallest value in f, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -1. Let w be (-40)\/(-6) + (-2)\/m. Suppose 0 = -3*j - w + 27. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 497, 3, -0.01901?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 408 = 255*i - 139*i - 167*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*p*q**2 - 20129*p + 2659*q**4 wrt q?\nAnswer: 8*p*q + 10636*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43010.72kg to nanograms.\nAnswer: 43010720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 4*z - 4*m + 13, 2*m = 10. Suppose -z*h + 38 = 4*p, -4*p + 48 = h + 3*h. What is the units digit of (-2)\/(-5) + 56\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1901787, 1901791, 1901795, 1901799, 1901803?\n\"Answer: 4*l + 1901783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216*x = 41*x + 2822925. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 148\/184*26 - (-126)\/1449\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - -2. Suppose -t*p + 13*p - 36 = 0. Solve p*c - 4*c = -5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -20 - 18 - 1970*b + 20 + 30 - 13 in the form n*b + w and give n.\nAnswer: -1970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4.694 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -19*a**3\/6 - 6*a**2 - 111*a. Let l be u(-1). Solve l*n - 8*n - 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3714 divided by 3.\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 4*c + 0*c = -82, -4*d - 30 = 26*d - 3*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 8 = 4*z, -5*z + 676 = 2*x + 654. Solve 70*r + 64 + z = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -12*w + 11*w. Let m(v) = 2*v**2 - 2*v + 2. What is the units digit of m(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) -3\/7  (c) 0.26  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 25259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -4*x**3 + 33*x + 3. Let t(q) = -q**3 + q + 1. Let c = -7415 - -7412. Determine c*t(s) + u(s).\nAnswer: -s**3 + 30*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6414 + 16283. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-5*(4 + sqrt(1872) + -3) + -1)*4 + 3.\nAnswer: -960*sqrt(13) - 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10728.2 - 1404.8. Is -1 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -141736.47 to the nearest one hundred.\nAnswer: -141700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 145.26879 seconds to minutes.\nAnswer: 2.4211465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.7 - -5.7. Let x be (-1)\/(0 + (-7)\/(-2)). Which is the third smallest value?  (a) t  (b) 3\/7  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1640\/(-656))\/((-21)\/7 - (1 + 1983\/(-492)))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = 4*i + 36. Suppose 2*g + 4*k = k - 18, -31 = i*g + 4*k. Let r = -6.1 - -6. What is the nearest to r in -0.2, g, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 505*p + 6 + 10.\nAnswer: -505*p + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 10 - 58. Let d be -1 + 1\/(4\/p). Solve 0 = -d*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40 - 13*d**2 - 40)*(46 - 46 - 44*d).\nAnswer: 572*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 346*u - 81*u + 4 - 229*u - 600*u in the form p + g*u and give g.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 80192 and 331744?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -11\/53 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**1\/o)**9\/((o\/(((o**(2\/3)*o)\/o*o)\/o))\/o*o*o**(4\/17)\/o) assuming o is positive.\nAnswer: o**(22\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -13c + -4?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 + 6*i - 10. Let h(d) = -2*d**3 - d**2 + 13*d - 21. Let a(r) = -2*h(r) + 5*x(r). Factor a(n).\nAnswer: -(n - 2)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.532947 + 26492.1?\nAnswer: 26492.632947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Solve -47353 = 41*u - 46574 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -633 divided by 1\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52*k**4 + 95*k**4 + 5*k**2 - 48*k**4 - 4 to the form w*k**2 + c*k**3 + m + a*k + s*k**4 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 1265*s + 7. Let y(q) = -3771*q - 20. Determine 11*l(v) + 4*y(v).\nAnswer: -1169*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 h when three letters picked without replacement from orooorrrhorrooooro?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-32)\/105 + 16\/40 - (-282028)\/21.\nAnswer: 2, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 + -5. Suppose k = 2*k - h. Let s(j) = 4*j**2 - 4. Let z(o) = -1. Let u(p) = -s(p) + 3*z(p). Let b(v) = -3*v**2 + 1. Determine k*b(r) - 4*u(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -56 + 59. Suppose -h*n + 33 = 2*j, -3*n + 0*j + 33 = j. Calculate the highest common divisor of n and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 - 4 = 3*s. Suppose s*t - 4*r - 16 - 44 = 0, -3*t + 60 = 3*r. What is the remainder when 57 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45 - -10. Let b = v - -34. Suppose 11 = 2*n + 3. What is the second biggest value in n, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*(-1 + (-1)\/(-8))*-8. Let v be ((-22)\/b)\/11 - 46\/(-14). Solve -1 - 8 = -v*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(147) - (-2 + sqrt(147)) - sqrt(147)) - 5*sqrt(147)*3.\nAnswer: -63*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*g + 4*s, -2*s + 3*s - 1 = -g. Let y(o) = -o**2 - 2*o - 1. Let q(v) = 1. Let b(j) = g*y(j) + q(j). Find the second derivative of b(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3642645, -7285289, -10927933?\n\"Answer: -3642644*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 2*y**4 + 1626*y**3 + 433030*y**2 + 37760262*y - 38194920 = 0.\nAnswer: -340, -237, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001011101011 - 100101010101?\nAnswer: -10110001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 89*-4*8\/(-32). Let b = m - 29. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-32)\/(-10) - (-8)\/(-40). Solve w*k = 8*k - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (4911\/(-27) + (-2)\/18)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -12*p + 2*p**2 + 8 - p**2 + 4*p. Let k be t(7). Let s = 2 - k. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11438 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 3)*(t + 2*t - t) + (-3 + 5 + 1)*(t + 0*t + 0*t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4159*c - 4135*c + 12287*c - 3993*c + 4*c**3 + 2.\nAnswer: 4*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -170171\/110 - -1547. Let r = -12586 + 12587. Is u bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 + 9*g - 46. Let v = -20343 - -20357. What is a(v)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 15*(1489366\/3)\/1. Let a = 2453170 + f. Round a to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 7*r**2 - 1180*r - 10483. Determine z(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 100 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((4 + sqrt(162)*2 + -2)*-3 + (sqrt(162) - -1*sqrt(162)*4) + (sqrt(162) - (sqrt(162) + 0 + sqrt(162) + sqrt(162) + -2)))*1)**2.\nAnswer: 216*sqrt(2) + 1474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n**3 - 54*n**2 - 250*n + 66. Determine c(31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 1082 = 5*i, 0 = 5*i - i - 8. Let n = b + 470. Suppose -4*u + n = -18. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 PM and 2:41 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2*t + 7. Let z(d) = -3*d + 17. Suppose 8*r + 2*l = 7*r - 11, 5*r = 5*l - 10. Let n(i) = r*y(i) + 3*z(i). Calculate n(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 285604934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - j = -2, 5*j - 24 - 1 = 0. Let l = 3 - 1. Solve -r + i = -t, 0*r = -l*t + r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*w + 0 + 7 + 6 - 2.\nAnswer: -3*w + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 z when three letters picked without replacement from dddpadzdzaaddz.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11625753077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 7 - 1 - 3*w - 2. Let p be y(3). Let x(i) = 2*i - 5. Let f(k) = -3*k + 3 + 7*k - 12. Give p*x(d) + 3*f(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4038796 is divided by 846.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 4*x + 3. Let q be r(-3). Let v = q - -11. Suppose -2*z = -c - v - 7, 5*z + 5*c = 0. Solve 0 = 3*f - 3*i + z, -f + 2*i - 1 = 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3598, 15551, 35862, 64525, 101534, 146883, 200566, 262577?\n\"Answer: -i**3 + 4185*i**2 - 595*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from ehehdheqhqnhddqnqq.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -67842*g*q**3 + 9*g*q**2 + 42*g + 20*q**2 wrt q.\nAnswer: -407052*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 36 = 20. Suppose 15*n - 30 = -0*n. Suppose n*t = t + a. Calculate the smallest common multiple of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 5*o**3 - 2*o**2 + 2*o. Let x be a(1). Suppose -3*d = -x - 1. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -7*o. Let a(n) = -n + 0 - 3 + 0. Let u(s) = s - 20. Let x(v) = -v + 14. Let b(i) = -3*u(i) - 4*x(i). Let j(y) = -4*a(y) - 3*b(y). Calculate j(q(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 57838014, 115676028, 173514040, 231352050?\n\"Answer: -j**2 + 57838017*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (12\/(-14))\/(2\/(-14)). Suppose 5*p - u - 4 = 0. Suppose -6*v + 36 = -p*v. What is the remainder when 17 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 51705 by -5.\nAnswer: -10341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-3))\/(d*d**(-8)*d))\/(d**(-5\/2)\/(d\/(d\/(d\/(d**(-3)*d)))*d)) assuming d is positive.\nAnswer: d**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -z**5 + 15*z**4 - 55*z**3\/3 + 64. Factor b(a).\nAnswer: -5*a**2*(a - 11)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m**5 - 33*m**4 - 129*m**3 + 57*m**2 + 114*m - 24 = 0. Calculate m.\nAnswer: -2, -1, 1\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -80.72016 take away -13?\nAnswer: -67.72016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 o, and 1 l when three letters picked without replacement from {o: 4, l: 6, v: 4, f: 1}.\nAnswer: 96\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 3447\/20677?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -4*d - 6. Let y be m(-5). Let r(t) = t**2 + 115*t - 114. Let p be r(-116). Calculate the highest common divisor of y and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1147, -1156, -1177, -1216, -1279?\n\"Answer: -h**3 - 2*h - 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.046 + -0.706. Let l = b + 0.6553. Round l to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 355?  (a) 3  (b) 0.9  (c) -72  (d) 5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 2.30778 micrograms?\nAnswer: 0.00230778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d - 11. Let g be o(-6). Let n be 133\/g - 3\/(-5). Let f be -3 - 2*n\/4. Solve f = -2*c - 3*t, -4*t - 14 = 3*c - c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3691782 to the nearest integer?\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.25 + -1.75. Which is the nearest to 3\/4?  (a) j  (b) 5  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-902)\/33)\/(1\/(-9)). Suppose -5*m + l - 11 = 0. List the prime factors of m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -7, 0.1, -1\/20, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -7*v**3 - 7*v**2 + 6*v - 1. Let t(j) = 11*j**3 + 15*j**2 - 13*j. Let b(m) = m**3 - m**2 + m + 1. Let i(s) = 2*b(s) + t(s). Give -6*i(c) - 11*x(c).\nAnswer: -c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ololobol. What is prob of sequence obo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 9854*d - 3666*d - 8 + 3 to the form a + u*d and give u.\nAnswer: 6188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*s - 5 - 2 - 18*s + 3 in the form w + v*s and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27714 = 10*p - 249184. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17545 is divided by 1595?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**1\/b))\/b)**5*b*b\/(b\/(b\/(b\/b**(2\/3))*b))*(b**(-2\/9)*b)\/b assuming b is positive.\nAnswer: b**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 + 23. Suppose 0 = -w + 2*w - 3*v + 7, 5*w - 4*v - 9 = 0. What is the second derivative of -9*d**w + 3*d**l - 7*d - 5*d**5 wrt d?\nAnswer: -220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -321*n**2 - 900*n + 2698. Give r(3).\nAnswer: -2891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4059 is divided by 203.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 8*f**2 - 2*f - 8. Give x(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**2 + 2*n**2 + 2*n**4 + (-2*n**4 + 4*n**4 + n**4)*(-7 - 11 + 6) - 11*n + 12*n**4 + 11*n + 3*n**3 - 3*n**3 - 4*n**4 + (-n**3 - 3 + 3)*(-4 + 4 + n).\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 48*k**2 - 15*k + 5. Let j be f(8). Let y = j - 1198. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -10*u**4 + 4*u**3 + 4*u - 7. Let b(d) = -21*d**4 + 9*d**3 + 9*d - 14. Let f(r) = 4*b(r) - 9*q(r). Differentiate f(t) with respect to t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffxjufjxxuxfjuj. What is prob of sequence ujj?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 17. Let g(q) = q + 258. Determine -g(c) - 3*w(c).\nAnswer: -c - 309","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 384 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 430980497, 430980513, 430980547, 430980605, 430980693, 430980817?\n\"Answer: b**3 + 3*b**2 + 430980493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/32 of a millisecond?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74 divided by 10890.\nAnswer: 37\/5445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2318 + 2382 - (2 + (-5)\/(15\/(-24))).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 1) + 11 + (-8 - 0) + (0 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -14\/3, 0, 10057?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 28170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(-6)*(-21)\/(-56)*-4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 + 10 = 4*d + 4, 0 = -4*v + d - 143 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1066716687?\nAnswer: 3, 355572229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6960 is divided by 1390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -19  (c) 1  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, t: 2, p: 1, k: 2, a: 1, o: 1}. Give prob of sequence okrp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -2\/5, 0.2, 218, -11 in ascending order.\nAnswer: -11, -2, -2\/5, 0.2, 1, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23 - -26. Let a(t) be the third derivative of 0*t**4 + 0*t - 1\/40*t**5 - 3*t**2 + 0*t**o + 0 + 1\/240*t**6. Factor a(g).\nAnswer: g**2*(g - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -2. Let p(a) = 5*a**2 + 9*a + 19. Let k(m) = 3*m**2 + 5*m + 10. Suppose 15 = 5*s, 2 = 3*q + 5*s - 1. Let u(d) = q*p(d) + 7*k(d). Give u(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 6, -3*r = -2*o + 2*r + 6. Let w = 0.23 - 1.45. Let d = w - -0.22. Is o smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 27 = 5*k - c, 5*c - 23 = -3*k. Let o(i) = 2*i**2 - 7*i. Let p be o(k). Suppose -2*y - 55 = -5*b, 5*b + 2*y + y = p. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -0.8, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 AM and 2:02 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of s**6\/90 - 5*s**4\/24 + s**3 + 2. Let x(i) be the third derivative of q(i). What is the first derivative of x(z) wrt z?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 10:37 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1582*n = -24789 - 16343 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 11) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 4*n**2 - 10*n - 4. Let w be (2\/(-7))\/((-9)\/42)*3. Let h be g(w). Solve 0 = 2*a - x - 4, 0*x - 5*x = h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (3 + (sqrt(80) - (0 + 2*sqrt(80))) + 3)**2*-3.\nAnswer: -343 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -27 - (1 - (1 - (-5 + 4)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of 577*b**3\/2 + 6571*b**2\/2 - 778*b. What is the first derivative of x(s) wrt s?\nAnswer: 1731","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhyy. What is prob of sequence yy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 6*f - 4. Let b be j(1). Suppose -3*y + 2*w - 575 = -1507, -643 = -b*y - 3*w. Suppose 6*n - 118 = y. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3125*o**3 + 494 + 325 - 242*o**2 - 821 wrt o.\nAnswer: -18750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 48 = -3*a. Calculate the common denominator of ((-139)\/a - -3) + -4 and -79\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nopnofnopipffnppfnfp. What is prob of picking 2 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 9*b + 0*b**2 - b**2 - 1 - 3 + 0. Let u be w(8). Suppose 3*p + 14 = 2*h - 1, 0 = -2*p - 2. Solve -22 + h = u*z, -z - 12 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of g**8\/216 + 26*g**7\/945 - 17*g**6\/108 + 32*g**5\/135 - g**4\/9 - 28*g**2. What is m in s(m) = 0?\nAnswer: -6, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*p - 13*p - 6. Suppose 250 = p*o - 58. Suppose -9*a + 170 = -o. Calculate the greatest common factor of a and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 4*w - 18 = s, 0 = -3*s - 2*w - 51. Let l = -7 - s. Suppose -4*g + l + 4 = 0. What is the third biggest value in -1, g, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/2376 and -103\/552.\nAnswer: 54648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 12 = 4*a. Suppose a*v - 3*v = 0. Suppose v = 4*g - 3*g - 4. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from xuyxgg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 31, 3, 35.4, 0.5, 0.3, 1\/3?\nAnswer: 35.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25 and 6025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(2*(sqrt(242) + -1) - (sqrt(242)*-1 + -5)**2) - (0 + (sqrt(60)\/sqrt(27) + sqrt(20))\/(sqrt(80)\/(sqrt(32)\/sqrt(4)))).\nAnswer: 788*sqrt(2)\/3 + 807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 260701 divided by 5\nAnswer: 260701\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -8*28\/72 + 3. Are o and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001012227574 rounded to seven decimal places?\nAnswer: 0.0010122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 57955, 57822, 57683, 57538?\n\"Answer: -3*k**2 - 124*k + 58082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 4*p + 12 = 2*m, 3*p = -m + 10. Let w be 9\/(-6)*m\/(-3). Let f(n) = -1 - 30*n**2 + 18*n**w - 2*n + 14*n**2 - n**3. Calculate f(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-45) + (-34)\/(-270))*(-3)\/(-1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -543 != -543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -808 - 1?\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + 53. Calculate the highest common factor of 84 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0  (b) -25  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 27\/(-108) + 105\/4. Suppose u*j - 988 = -0*j. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 496421 is divided by 3334.\nAnswer: 2989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of 1\/4*c**4 + 19*c + 10\/3*c**3 + 15 + 11\/2*c**2. Let m be v(-9). Solve 3*y - 1 = 4*y, -m = k + 3*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8219*n**4 + 11*n**3 + 959*n - 187830507 wrt n?\nAnswer: 32876*n**3 + 33*n**2 + 959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18650601.\nAnswer: 3, 131, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are 11 and 101\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i**2 - 5 + 5)*((-3 + 3 - 2*i)*(-2 + 2 - 2*i) + i**2 - 4*i**2 + 4*i**2).\nAnswer: -25*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 19443 + -1?\nAnswer: 19442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1850 and 7.\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 4*g = -2, 0 = -4*g - g - 10. What is the smallest value in -1, -0.034, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 234 - 232.77. Let c = -1.23000169 + m. Round c to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2372\/7 or -340?\nAnswer: -340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-7 - -3) + 17 + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 7*s + 30. Suppose h = 2*p + 6*h - 47, 4*p + 4*h - 100 = 0. What is the remainder when p is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28160 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + 14*n + 48. Let r be f(-11). Suppose -4*l + 1936 = -4*o, 0 = -2*l - o + 986 - r. What are the prime factors of l?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*a**3*d*j**2 - 2*a**3*j**2 + 375*a**3 - 56*a**2*d*j**2 wrt d.\nAnswer: 4*a**3*j**2 - 56*a**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*c + c + c - 3)*(3957 - 1983 - 1994 - 2*c - 2*c**2) to the form u + o*c + l*c**3 + m*c**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of j**4\/4 - 7*j**3\/3 - 6*j**2 + 11*j - 2. Let i be m(8). What is the common denominator of -103\/12 and 706\/(-28) - (-6)\/i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 123\/(-82)*2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of m**8\/6720 - m**7\/1008 + 7*m**6\/720 - m**5\/60 + 2*m**2. Let y(h) be the third derivative of u(h). Is y(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/r**(-1))**50*r**2\/(r**(2\/7)*r) assuming r is positive.\nAnswer: r**(1055\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 25089010*d**3 + 999492*d**2.\nAnswer: 150534060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = v + 3*g + 21, 1534*g - 58 = -2*v + 1548*g for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 820785?\nAnswer: 3, 5, 7, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 824 - 440. Calculate the highest common divisor of 48 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from ohoohozozh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y**3 - y**3 + 2*y**3 + (159*y - 74*y - 865*y)*(0*y**2 + 3*y**2 + 0*y**2) to n*y**3 + r*y + w*y**2 + m and give n.\nAnswer: -2337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 2.8. Let x = 692.4 - 127.4. Let w = -565.5 + x. What is the third biggest value in w, l, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1030 - -3?\nAnswer: -102b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 64 - 54. Suppose t - 9 = -u. Is 176\/28 + u - (-4)\/(-14) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12363\/(-936) - -12) + (-3)\/(-36).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**3 - 11*d**3 - 43*d**3.\nAnswer: -56*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**3 - 3*w**2 + 147*w + 147.\nAnswer: -3*(w - 7)*(w + 1)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 29841\/367353 + 3\/(-17)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttttttettettet. What is prob of sequence ttt?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 95509\/2 smaller than 47756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 9:54 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -9*q**2. Suppose -46 + 40 = 6*t. What is l(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/21*7\/(-15)*(-41 + 36). Let x = 11 + -7. What is the fourth smallest value in z, 0.3, -2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1780 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b - 298 + 34 = 0. Suppose -k - b*v + 25*v - 12 = 0, -3*k + 2*v = 1. Put -2, 6, k in descending order.\nAnswer: 6, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91943432 to the power of 1\/2, to the nearest integer?\nAnswer: 9589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 705 or -3\/766?\nAnswer: -3\/766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24371433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1616577060 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - z - 6 = 0, -5*z = 5*i + 4005. Round i to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -2. Let n = 8 + -17. Let l = -5 - n. Sort -3, 0.2, l, h.\nAnswer: -3, 0.2, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.01, 42, -1\/5 in descending order.\nAnswer: 42, 0.01, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 209 - 190 = 3*p, -2*k - 3*p = 271. Let t be 48\/k*(30\/(-9) - 0). Is -0.06 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 3:51 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-five sevenths of a week?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 386 + -383. Solve 0*j + z*j - 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.001 * 0.3\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 31043713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/9)*l**(-20)*l assuming l is positive.\nAnswer: l**(-169\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 4*z = 26, 2*o + 7 = -3*z - 16. Let r = -3 - o. Suppose 8*h - 92 = 3*h - r*m, m = -4*h + 67. Calculate the greatest common divisor of h and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 18*z**2 + 18*z - 12. Let b(a) = -a**3 - 17*a**2 - 18*a + 11. Let k(s) = 6*b(s) + 5*u(s). Is k(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/2)\/(4*(-15)\/(-288)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 8*f. Let j(d) = 208*d. Calculate n(j(x)).\nAnswer: 1664*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*p - 658*p**2 + 230*p**2 + 231*p**2 + 213*p**2.\nAnswer: 16*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aarrrar.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -7, -204, -22228 in descending order.\nAnswer: 4, -7, -204, -22228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -5*t, a + t = 2*a. Suppose -16 = -5*l + 9. Suppose -25 = -y - 4*g, 3*y - l*g = 7*y - 45. Solve 0 = -a*x - y*x + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 685210063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c + 8 - 8 - 15*c in the form k*c + u and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 1074 = -3*r, -4*s + 0*s = 3*r - 1075. What are the prime factors of r?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5382.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + 3. Let b = v + -8. Let o = -0.461 - -0.761. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -57499 or -57421?\nAnswer: -57421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 156112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 855 and 74841.\nAnswer: 1122615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 211565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -161, -158, -155?\n\"Answer: 3*a - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3075\/820*(-8)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1636*b - 3*l - 96 = -1631*b + 3272*b, -5*l = -8*b - 183 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4032)*4 - sqrt(4032))*5*-2.\nAnswer: -720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 12:29 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/80944 and -19\/58?\nAnswer: 2347376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1020 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*v + 200 = -9*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -3\/2600?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2317 (base 12) to base 5.\nAnswer: 111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 23797 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18151.\nAnswer: 7, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2121013 (base 4) to base 5\nAnswer: 303144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(270) - sqrt(30)))\/(sqrt(90)*-1).\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -4 - ((-2)\/(-13))\/(4 - (-5130)\/(-1270)) and (3\/3)\/(65\/3)*1.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + w - g + 68795, 68820 = -2*w - 4*g. What is w rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**3 - 102796*r**2 - 661414080*r - 12529785600.\nAnswer: -4*(r + 19)*(r + 12840)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of -c**4\/24 + c**3\/2 + 6*c**2 + 2*c. Let y be w(24). Is -18 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 51775.1709 to zero dps.\nAnswer: 51775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-21)\/(-6) + 1*-3. Let x = -1.8623 + 2.5623. Which is smaller: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -803 = -85*x + 2*c - 477, 0*x = x - 5*c + 31 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -130005 divided by -153?\nAnswer: 14445\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35) + sqrt(105)\/sqrt(3)*6)\/sqrt(112) + (6*(sqrt(20) - sqrt(80)\/sqrt(4)))\/((sqrt(216)\/sqrt(6) - sqrt(36))\/sqrt(9) - sqrt(4)).\nAnswer: 7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 4*s**2 + 3. Suppose 2*j = -2, 2*j = -2*h + 7*j - 25. Let q = -25 - h. Let u = 14 + q. What is n(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 28*o**2 + 127*o - 36. What is q(-8)?\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -5*j**2 + 2*j - 3. Suppose 646*y - 42 = 667*y. Determine d(y).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {d: 5, o: 3, h: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1362 + 1362 - 3*k**2 - 5*k**2 + k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/1481, 0.4, 1.56.\nAnswer: 2\/1481, 0.4, 1.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 4*r. Let u be x(3). Let i be 0 + (-1)\/(3\/(-6)). Suppose 0 = -3*w - i*w + 45. Solve 4*y = -u, -4*y - w = -0*j - j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/7  (b) 15  (c) -263  (d) 2  (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3450 and 2558910?\nAnswer: 294274650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (75\/(-100))\/((1\/(-2))\/((-5)\/240)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - -2)*(-5)\/(-3). Let a(j) = -j. Let x be a(1). Let n = c + x. Calculate the remainder when 6 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 569290?\nAnswer: 2, 5, 56929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 817385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(40)*-6 - ((sqrt(360) - -2*sqrt(360))\/sqrt(9) - sqrt(40)))*4)\/(-1*((sqrt(2) + sqrt(18) - sqrt(2))*4 + sqrt(18)\/(1*sqrt(9)))*3).\nAnswer: -80*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, p: 2, b: 1, l: 1, u: 1}. What is prob of picking 1 u, 1 l, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of -5*l**4\/24 - l**3 - 7*l**2. Let y(m) = -1. Calculate s(h) - 6*y(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2818844336594 and 4?\nAnswer: 2818844336598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6134885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -7*r**3 - 2*r**2 + 4*r**2 + 12 - 8*r**3 - 13 + 10*r**3. Give l(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -282 divided by 522348?\nAnswer: -47\/87058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -3. Suppose -q*r + 5 = -3. Suppose -5*o + 4 = 3*p, 5*o + 0*p + 4*p - r = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17*j**3*k**2*u**3 - 53*j**3*k*u**2 - 2*j**3*u + 14*j**2*k*u**2 - 3*j*k**2*u**2 + 233*k**2*u**3 wrt u.\nAnswer: -102*j**3*k**2 + 1398*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8 + -11623206)*(-6)\/(-4). Let p = j + 37434821. Suppose -3*r + p = r. Round r to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 782 + 4621?\nAnswer: 50a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(3\/5)*u\/u**(-3\/7)*u*u)**2*(u\/u**(2\/17)*u\/(u\/(u\/(u\/(u\/(u\/(u\/(u*u\/(u\/(u**5\/u)*u)*u)))*u*u)*u)*u*u)))\/(u**(3\/7)*u**(1\/3)) assuming u is positive.\nAnswer: u**(12812\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 5*g + 275 = 0, -g + 59 = d - 6*g. Suppose d = 4*c + 5*n, -c + 4*n + 9 = 3*n. Let v(t) = 3*t**2 - 18*t + 34. Is v(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000078476 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 2*z + 5*r, -817*z = -820*z - 5*r + 24. Which is the closest to -2\/11?  (a) z  (b) -19  (c) -0.4  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 37 = -4*s, 13 = s + 4*l + 1. Let t(n) = -n + 7. Calculate the remainder when t(-7) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -63072?\nAnswer: 1\/15768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.35918 take away 9?\nAnswer: -8.64082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1172155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.4, -754, -16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (33\/(-15) + 1)*(-10)\/4. Which is the second biggest value?  (a) p  (b) 0  (c) -1  (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1082 + 1097 - 414 - 259)*(3 + 4*u**2 - 3).\nAnswer: 6024*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 648516 a multiple of 9826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -8 - 36. Let h = 24 - l. Solve j - h*t = 5*j + 8, 0 = 3*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25646 by 18.\nAnswer: -12823\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1654052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4431196 and 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6229 - 6228.7. Which is the nearest to 1\/3?  (a) s  (b) 0.2  (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9107978.\nAnswer: 2, 11, 101, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = 5*o + 13, -25*o - 25*o - 20*o + 78 = 2*v - 62*o for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -17, -32, -59, -104, -173, -272, -407?\n\"Answer: -o**3 - 8*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 PM and 11:21 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m + 22. Suppose -2*p - 2*p = 0. What is the remainder when j(p) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 3) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 5*b**3 - 1. Let t be n(-1). Sort 2, t, -10 in descending order.\nAnswer: 2, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 17\/1015?\nAnswer: 17\/1015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1186512 is divided by 593241.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 - 5*p**2 + 13*p + 12. Let x be u(-7). Solve -5*k - x = -3*i + i, 0 = -i - 3*k - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (35\/(-10) - -3) + 294\/(-4). Let d = c - -110. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 48653616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 6*f**2 - 6*f - 3. Suppose 2*b - 2 = 3*b. Let z be p(b). What is the highest common factor of 22 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 19*n**4 - 588*n**2 - 6*n + 3. Let j(g) = -19*g**4 + 587*g**2 + 8*g - 4. Let m(x) = -4*d(x) - 3*j(x). What is the third derivative of m(a) wrt a?\nAnswer: -456*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z. Let g = -5 + 9. Let r = g + 7. Let w(j) = r*j - 11*j - 2*j**2. What is m(w(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/((-168)\/(-18)))\/(114\/(-16)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 3 = 3*c, -c + 2*m + 4 = -0*c. Let y(v) = -4 + 5*v - 2*v**3 - 2*v**2 + v**3 + 2 + c*v**3. List the prime factors of y(6).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9517223 rounded to the nearest one hundred thousand?\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d. Let p(y) = 1662*y + 2577*y - 515*y. Determine x(p(m)).\nAnswer: 3724*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**2 + 3*k**3 + 0*k**2 + 4*k**2 - 2*k**4 + 4*k**4 - 2*k in the form h*k**3 + b*k + j + n*k**4 + r*k**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 150 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2800 and 840.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -157, -156, -155, -154, -153?\n\"Answer: p - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbvbbbbbbbvmmbibwbw. What is prob of picking 3 v and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -ab7e6 (base 16) to base 7\nAnswer: -5653632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = u - 4*x + 23, 0 = -2*u + 2*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/((-45)\/174) - (-2 - -2) and (-2)\/((-1)\/((-1)\/(-3))).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(187) + (sqrt(187) + 4*sqrt(187)*1 - sqrt(187)) - sqrt(187)))\/((4*-2*sqrt(77))\/sqrt(7))*5.\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - 28\/(-20))\/((-1)\/40). Let n = y - -25. Suppose 0*k = n*k. Solve c = -k*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32ff (base 16) in base 10?\nAnswer: 13055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 61659 divided by 663\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 536433 is divided by 1528.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -5, -0.12, -0.02?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + 3241?\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -131763 or -131760?\nAnswer: -131763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from {n: 2, i: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -0.7, 8, 630 in ascending order.\nAnswer: -0.7, 0.1, 8, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4 + -5 + (-407)\/(-385))\/(8\/28). Let i(k) be the first derivative of 16\/5*k + 0*k**2 - 4\/5*k**3 - w*k**4 + 16. Factor i(p).\nAnswer: -4*(p - 1)*(p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 4*k + 314 = -5*d, -2*d - 320 = -4*k. What is the remainder when k is divided by (-528 + 527)\/((-1)\/(-9)*6\/(-14))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 3*q - 1 = -6, 4*u + 4*q = 40 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -aabb (base 14) to base 16\nAnswer: -737d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -88 + (10 + -16 - (25 + -33))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*h + 60 = 21 - 149. Let b(x) = x. Let o(f) = 6*f + 2. Give h*b(q) + o(q).\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 26*w - 22*w, 5*k + 9 = w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6.952092 centuries?\nAnswer: 8342.5104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 - 10*p + 4. Let v(a) = -2*a**2 - 2*a + 2. Let h be v(2). Let l be u(h). List the prime factors of (l + -3)*(0 - -10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 4*m + 3. Let a be x(2). Let p = 44 - a. What is the highest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2328 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {d: 11, c: 9}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 0) + (9 - 5 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2729231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -4*b**2 - 2*b - 4. Let k be n(-3). Let d = k - -1. Let y = 54 + d. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(7 + -10) + 4*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1020202221012 (base 3) in base 9?\nAnswer: 1222835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24137 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-2 + 1)*3. Let b = x - -14. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -20*k**3 - 4*k - 6. Let m(f) = 41*f**3 + 9*f + 11. Suppose 5*d - 1 = 19. Let b(h) = d*m(h) + 9*a(h). Find the first derivative of b(s) wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -24, -44, -82, -144, -236?\n\"Answer: -o**3 - 3*o**2 - 4*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t + 1. Let w(i) = 13*i + 2. Determine -3*d(o) + 3*w(o).\nAnswer: 33*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 218868 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of 0*x**3 + 1\/50*x**6 - 1\/20*x**4 + 1\/70*x**7 + 0*x**2 - 3\/100*x**5 + 11*x + 0. Determine h, given that o(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -15, 5.\nAnswer: -15, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4\/165 and -16\/5865?\nAnswer: 64515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.94 + 1. Let m be ((-372)\/(-90) - 6\/45) + 6. Let s be (-365)\/50 + 9 - 2\/m. Which is the smallest value?  (a) -1\/4  (b) j  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 49 - 8478\/173. Let b = 5741\/5536 + a. What is the common denominator of -69\/10 and b?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 28 - 24 = 0. Solve -2*l - 2*z - 4 = f*z, 5*l - 26 = 2*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/9)\/(10\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -5*j - 1. Let m(c) = c. Let l(x) = -k(x) - 6*m(x). Let h be l(4). Let w(b) = b**2 + 2*b + 1. Calculate w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9538 and 40.\nAnswer: 381520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 9  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + 5. Let m be 179\/6 - (-1)\/d. Suppose -8*z - m = -10*z. Calculate the remainder when 73 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 66 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lqqql. What is prob of picking 2 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 351*p + 28766. Calculate l(-82).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6049?\nAnswer: 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 + -5. What is the derivative of 4*x - 4 - 6 - 3*x + h wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71.5256 millimeters to centimeters.\nAnswer: 7.15256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 9:01 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -47 + 53. Calculate the least common multiple of 14 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -3 - 2*i**2 - 11*i**3 - 48*i**3 - 6*i + 60*i**3 + 0 + 5*i**2. Let b = 7 - 4. Let r be (-3)\/b*2 + -2. Determine m(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 PM and 4:07 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 99340.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 857099\/28 - 30614. What is the common denominator of 9\/4 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 3*q + 153 = 0, -q - 3*q = 2*i - 146. Suppose -5*t + 50 + i = 0. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 153 and 85?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 - -34. Let y(s) be the first derivative of -s**4\/4 + 13*s**3\/3 - s**2\/2 - 17*s - 175. Is y(p) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 5*r - 65 - 640, 5*r + 5*b = 665. What are the prime factors of r?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16 + 16. Let g(s) = 29*s**2 - s - 1. Let t be g(-3). Suppose w = -2*n + 3*n - t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyi. What is prob of sequence yi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1291970 rounded to the nearest 10000?\nAnswer: -1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 204 and 318?\nAnswer: 10812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/12))**11 assuming t is positive.\nAnswer: t**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 246791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/24 - 564\/(-16). Solve -2*m = g - 0*g + 11, 5*g = -5*m - y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*y - 10*y + 11*y as i + n*y and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9215 + 125?\nAnswer: 9340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cctcssci. Give prob of sequence ti.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, j: 2, t: 1, h: 1, n: 1, g: 1}. What is prob of picking 1 j, 1 h, 1 g, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of t**3\/3 + 9*t**2\/2 + 12*t + 1. Let q(s) = -2*s**2 - 3*s + 5. Let b be q(2). Is 7 a factor of z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -13*h**2. Let k(z) = -79794*z**2 + 2*z. Determine k(t(u)).\nAnswer: -13485186*u**4 - 26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -5.0000012. What is i rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1695 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 393 = -4*w, -5*n + n + 1550 = -5*w. List the prime factors of n.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5\/18 + 1\/18. Let i = 1040 + -1040.1. Sort i, g, -3 in descending order.\nAnswer: i, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 - 15*q**2 + 6*q + 106. Suppose 0 = -30*f - 15*f - 30*f + 1050. Calculate u(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5513\/132975 + -7\/197. Let d = -178\/4725 + a. Is d equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**2)**(1\/25)\/(n**(-1\/13)\/(n\/n**(1\/16))))\/(n**(-2\/5)\/((n**10\/n)\/n*n))**27 assuming n is positive.\nAnswer: n**(1325451\/5200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 78 and 91372\/1181 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 70 - 65. Suppose -2 = -k*g - 12. Let f be -3 - (g\/5)\/(4\/280). Calculate the greatest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9649570 divided by -70.\nAnswer: 137851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*64.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -4*d. Let j(w) be the third derivative of 0*w**3 + 13*w**2 + 0 + 1\/30*w**5 + 0*w + 0*w**4. Give a(j(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 84636 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 33 + -28. Suppose k*x - 1771 = 2*n, 283 = 3*x - 3*n - 776. Suppose -4*s = 127 - x. Calculate the remainder when s is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1598 + 1593. Let k = -14.2 + 36.2. What is the nearest to k in -2, 4, z, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.7635 - -0.8335. What is the biggest value in v, -0.4, 0.9, 0?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 14695 = 5*h - 0*h, 0 = 3*g. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32\/96 + (-8)\/6)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - ((-9 - -21) + 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14411\/2 - 7362. Let w = -2175\/14 - f. Find l, given that -2\/7 + 8\/7*l - 12\/7*l**2 + w*l**3 - 2\/7*l**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 370 and 5156875?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2)\/((-4)\/117)*8\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1843, 1830, 1821, 1816, 1815, 1818, 1825?\nAnswer: 1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94301 = 39*v - 28315. What are the prime factors of v?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10843308 and 1204?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 13 = 3*v, -32 = 5*v + 4*n + 19. Let t = -64 + 104. Let u = t + v. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.5 - 34. Let k = -29 - l. Which is the biggest value?  (a) 4  (b) k  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000824 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/849 and -25\/59?\nAnswer: 50091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-39 - (-10 - 3)) + 145 + -123.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2 + 7*l - 8. Let b be x(5). Suppose -14 = -4*v + b. What is the second smallest value in 5, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2883\/14537 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -1\/9, 3\/5, -7.2, -1\/6, -43?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1219 + 0 + 2\/(0 + 2). Suppose 4*d - 244 = -l + d, -5*l = d - x. Let m = l + -166. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*l - 204900 = -71*l. What is l rounded to the nearest one thousand?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -h**4\/6 - 2*h. Let j(f) be the second derivative of 0*f**3 + 5*f + 0 - 1\/4*f**4 + 0*f**2. What is s(j(v))?\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -17*b**3 + b**2 - b + 1. Let s be v(1). Let f = -9 - s. Let x(d) = -6*d + 5. Let g = -7 - -13. Let z(r) = 5*r - 4. What is f*z(o) + g*x(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i - 78. Let k be f(45). Suppose 0 = 14*a - 15*a + 12. Is k greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/19256 and -59\/3320.\nAnswer: 96280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 26, 53, 118, 239, 434, 721, 1118, 1643?\n\"Answer: 3*k**3 + k**2 + 3*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 2\/7  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -4*((sqrt(363)*1)**2 + 1 + -1*sqrt(3) + -1) + 0.\nAnswer: -1454 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 8024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -215*j**5 - 10*j**3 - 266*j**2 - 6*j + 13. Let p(r) = r**3 - 5*r**2 - 2*r + 1. Let z(t) = 4*p(t) - x(t). Find the third derivative of z(w) wrt w.\nAnswer: 12900*w**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j + 214. Let q(o) = o. Give b(q(i)).\nAnswer: i + 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i**2\/5 - 116*i\/5 = 0.\nAnswer: -58, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/10*(-21 - (-14 + 38)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -3. Let o = p - -8. Let y(l) be the second derivative of -l**3\/6 + l. Calculate y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - x. Let f(v) = 4*v**2 + 83*v + 53. Let s(l) = f(l) - 6*t(l). List the prime factors of s(34).\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/60*4)\/(-95 - (-275620)\/2900) + -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 11:41 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1650, 6925, 15826, 28359, 44530, 64345, 87810, 114931?\n\"Answer: i**3 + 1807*i**2 - 153*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-165)\/(-264) - (-10)\/((-27360)\/1614)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 11*c + 12. Let k(v) = -v - 1. What is -a(d) - 5*k(d)?\nAnswer: -6*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6222055 and -3?\nAnswer: 18666165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2731871*y**6 + 778372*y**2.\nAnswer: -327824520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of 3\/4*w**5 + 0 - 49\/24*w**4 + 0*w + 1\/3*w**3 - 83*w**2. What is the second derivative of f(s) wrt s?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 407198316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (196\/60 - 2\/(-5))*-3. Let t(z) = z**3 + 13*z**2 + 16*z - 14. Does 9 divide t(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 254, 512, 770?\n\"Answer: 258*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -15521 at least as big as 160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 34*y**4 + 34*y**3 - 34*y + 12. Let i(m) = 2*m**3 - 2*m - 1. Let q(g) = 102*i(g) - 6*s(g). What is the first derivative of q(h) wrt h?\nAnswer: -816*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -563 = -9*j + 274. Let i = j - -287. Is 38 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**3 + 0*n**3 - 6*n**3 - 2*n**3 - 3*n**3 + 4*n**3 + (2*n + 0*n - n)*(-n**2 + 3 - 3) + (-n + n + n)*(n**2 + n**2 - n**2).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 635140435 + 0?\nAnswer: 635140435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 5, b: 1, p: 5}. Give prob of sequence nnb.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14 and 17476?\nAnswer: 122332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 2938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n - 4*r - 51, n = -538*r - 518*r + 1054*r + 27 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2519834, 5039655, 7559476, 10079297, 12599118?\nAnswer: 15118939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -75015719, -75015718, -75015717, -75015716?\n\"Answer: p - 75015720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -9691*p - 78632. Determine g(-8).\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(-16*h - 10*h + 11*h) + (5 - 2 - 1)*(5 - 1 - 5)*(2*h - 2 + 2).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -3)\/(((-32)\/8)\/((-25)\/(-550)))\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -227.00000199 - -227. Round t to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l + l + 4*l**2 + (0*l - 2*l + 4*l)*(l + l - 3*l + (3 - 1 - 4)*(-l + l - 2*l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 190501691, 190501696, 190501701, 190501706?\n\"Answer: 5*m + 190501686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -4*f - 12. Let n be q(-4). Suppose p - 390 = -n*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, x: 12, z: 1}. What is prob of picking 1 l and 2 x?\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 54200000 rounded to the nearest 1000000?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 0 = 48. Find the second derivative of 12 - s - 5*t**5 - t wrt t.\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 6 = -2*k. Let n(w) = -3*w**2 - 3*w - 3. Let r(b) = -7*b**2 - 6*b - 5. Let y(x) = k*r(x) + 5*n(x). Find the second derivative of y(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 550738.\nAnswer: 2, 509, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -56860, -1\/17, 4, 1.2?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 235 and 16.\nAnswer: 3760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 + 5*j + 1. Let y = 55 + -53. Suppose 2*k = y*l - 22, 2*k + 0*l = l - 17. What is the lowest common multiple of b(k) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that h**2 + 9280*h + 2081500 = 0.\nAnswer: -9050, -230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -147015*y**4\/2 - 303237*y**3\/2 - 42645*y**2 + 282*y + 684 = 0. Calculate y.\nAnswer: -19\/11, -2\/9, 6\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1808.43 nanoseconds in minutes?\nAnswer: 0.0000000301405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 142448889 - -5?\nAnswer: 142448893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f + 0 + 0)*(-2 + 2 - 5*f) + (-20*f - 20*f - 11*f)*(-5*f + 3*f + 0*f)*(2 + 2 - 7) to the form g + h*f + t*f**2 and give t.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of 2*r**6\/3 - 43*r**5\/4 + 845*r**4\/12 - 240*r**3 + 450*r**2 - r - 66. Solve f(w) = 0.\nAnswer: 2, 3, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 AM and 1:33 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9962985*r**3 - 2*r**2 + 4405280*r?\nAnswer: 59777910*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48 - 35 - 41 - -27.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/10*(0 - (3 - -43)). Let v = -6 + b. Suppose v*y = 22*y - 2690. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (23 - 21) + -13 + -1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/((-875)\/50)*42\/16)\/(30\/1640)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, h: 1, a: 3}. What is prob of picking 1 h and 1 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -14 + (8 - -1) + 57. Which is bigger: 50 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 245 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 94733743 to the nearest integer?\nAnswer: 9733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -65 + 73?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 5*d**2 + 2*d - 2. Let o(m) be the first derivative of m**3\/3 - m - 43. Suppose k = -3*k - 8. What is k*o(u) + h(u)?\nAnswer: 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 42222 (base 5) in base 7?\nAnswer: 11125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 103 = 5*c, -3*c - 76 = 4*f + c. Let p = f - -25. Suppose 6*h - h - 45 = -q, -p*h - 77 = -q. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 54\/153*7225\/255\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 69 - 69.0512. Let n = 51.936 - 52. Let v = n - x. Round v to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 200198.\nAnswer: 2, 31, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by 2106449\nAnswer: 8\/2106449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus 128009.3183008?\nAnswer: 128008.3183008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8386*z**5 + 1418*z**3 - 166290029*z wrt z.\nAnswer: 167720*z**3 + 8508*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((sqrt(225)*-2)\/sqrt(9))\/(sqrt(5) - (sqrt(5) + sqrt(5) + sqrt(45))*3))**2.\nAnswer: -15\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 196 and 8787513?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 61211.1.\nAnswer: -244844.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1323\/1197 - (1 + 0). What is the third smallest value in 0.1, -0.4, u, 1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 52*i**2*z**2 - 19*i**2*z + 752*i**2 - 11*i*z**4 wrt z.\nAnswer: 104*i**2 - 132*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.06  (b) 0.1  (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10459560071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4536 + 4460.88. Let w = x - -75. Let d = 10 + -9.7. What is the second biggest value in w, -2, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37433\/2094 - 15\/349. Let j = 6143\/20 + -305. Calculate the common denominator of d and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6423282?\nAnswer: 2, 3, 53, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from abaaaaaaabbaaabaaaa. Give prob of sequence abba.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -13*h + 1. Let d(q) = 14*q - 1. Let a(c) = 2*d(c) + 3*z(c). Is a(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 + 8*u**2 - 4*u + 35. Let i be x(8). Solve -5*d = i*v + 7, -6 = 2*d - 0*v + 2*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from cciliicclicllii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 1065?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*i = -5*n - 30*i + 20618, -i + 8258 = 2*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48179 = -57*t + 15148. Calculate the highest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104a4 (base 13) in base 8?\nAnswer: -71273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -892 * 37.4\nAnswer: -33360.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 44780071*h + 55657552 wrt h.\nAnswer: 44780071","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 116\/(-87) - (-17)\/6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 192a4 - -5?\nAnswer: 192a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 5*r + 6 = 0. Suppose 4*l + w + 1 = 3, -5*l = -r*w - 11. Let k = 45 + -50. Sort k, l, -30.\nAnswer: -30, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/6 - (-4)\/(-3) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 159 - 159.1. Let y = 2 + -1.5. Let v = 0 - y. Which is the second biggest value?  (a) q  (b) v  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 12165, 26537, 40909, 55281?\n\"Answer: 14372*n - 2207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-604)\/(-755))\/(308\/(-10))*7.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-83 + 658*m**2 + 350 - 657*m**2 + (3 + 2*m - 3)*(4*m - 2*m - m) - 2*m**2 - 3*m**2 + 4*m**2)*(-2*m**3 + 3 - 3).\nAnswer: -4*m**5 - 534*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -273*l + 948. Determine q(4).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -54 - -92. Let w(r) = r**2 + 5*r + 13. Let i be w(-6). Calculate the greatest common divisor of y and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = 4*w - 8, 7*w - 9 = 4*q + 4*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 24933.78ml?\nAnswer: 24.93378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k - 10. Let r be s(-11). Let w(z) = -r - 5 + z**2 + 2 - 17*z + 19*z. Give w(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 82\/2871 and -17\/94578.\nAnswer: 8228286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 14247?\nAnswer: -2\/4749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/5*(-13814)\/(-14). Let s = d - 756\/5. Let n = 46 - s. Is 0 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.3  (b) 0.3  (c) -40.039  (d) -1  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 575369964?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = o - 3 + 4, 4*o + 11 = 3*d. What are the prime factors of (-6)\/(-2) + (2 - d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1115067 rounded to 3 decimal places?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1303 - -10021?\nAnswer: 11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {p: 2, i: 2, j: 4, z: 4, h: 1, q: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1209 + 2*b**3 + 4*b - 3*b**4 + 1212 + b**4 to the form v*b**2 + p + m*b**3 + o*b**4 + f*b and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 278550986 divided by -39792998.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 288*i + 12438. Give s(-51).\nAnswer: -2250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15887 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*g**3 + 3234564*g**2 - 1940727*g - 1293822 = 0 for g.\nAnswer: -2\/5, 1, 215637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 29765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 - 1482.53229?\nAnswer: -1481.43229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + 4\/14 + 1. Suppose -122*u + 366 = 212 - 334. Suppose q*r**3 + 0 + 3\/7*r**5 + 0*r + 3\/7*r**2 + 9\/7*r**u = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 3 + q**5 + 2 + 2*q**3 + q - 3. Let u(r) = r**3 + 1. Let k = -6 - -8. Let b(z) = k*u(z) - l(z). Find the second derivative of b(g) wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6*6\/(-24))\/((-9)\/(-42))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.9, 0, 17\/2.\nAnswer: 0, 2.9, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of 16*q**3\/3 + 15*q**2 - 4*q - 3146. Let i(x) = -3*x**2 - 6*x + 1. Give 11*i(z) + 2*y(z).\nAnswer: -z**2 - 6*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + 847*g**2 - 57338*g - 7298. Give q(-910).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 90733968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19 + 22. Let l be (8\/x)\/(5\/75*-5). Let v(f) = 2*f + 9. What is v(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 119969 + 80031. Round f to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, v: 7, s: 4, f: 1}. What is prob of picking 1 v, 1 f, and 1 l?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 9*i - 49 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = 4*z - 22, 21141*z = -4*u + 21136*z + 21 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 337 - 275. Suppose -o*p + 16743 = -59*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210111001 + 2121?\nAnswer: -210101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000086610964 rounded to 7 decimal places?\nAnswer: -0.0000866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -62?  (a) 2\/17  (b) -4  (c) 91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -134, -57, 269, 5 in decreasing order.\nAnswer: 269, 5, -4, -57, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -19*v**2 - 3*v - 260. Calculate h(-10).\nAnswer: -2130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -n**5\/3 + 83*n**4\/3 - 1564*n**3\/3 + 6080*n**2\/3 + 30464*n\/3 + 22736\/3 = 0.\nAnswer: -2, -1, 14, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57481545 divided by 9339.\nAnswer: -6155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 228 = 2*l, 3*l = 4*k - 609 + 391. Calculate the remainder when 146 is divided by k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (-45 - (-12 + 1)) + -4?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -2. Suppose 0*s = -3*s - 4*w + 12, -15 = -4*s - 5*w. Sort a, s, 1 in descending order.\nAnswer: 1, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 403951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -0.2, 3\/4, -1\/2, -1\/31?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-885)\/(-150) - (3 + 3)) + (-9)\/(-30)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from queuocwc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6097 and 50674?\nAnswer: 23766106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -o**6\/105 - 4*o**5\/35 - 19*o**4\/42 - 4*o**3\/7 + 29*o. What is j in l(j) = 0?\nAnswer: -4, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**5\/5 - 3*m**4\/5 - m**3\/5 + 7*m**2\/5 - 4\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14755845 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 + c - 3*c - 5 to x + v*c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -15. What is the tens digit of (-206)\/(-8) - (-3)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 171426.\nAnswer: -1\/85713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -45*a + 6655. Determine y(148).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6120 and 1224.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 7)*(-7*u + 14*u - 8*u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 985\/591*(-21)\/(-25)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 79863.02cm?\nAnswer: 798630200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 + -1)*2\/(-4). Let y be 102 + (0 - (k + -2)). What is the greatest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from qqgqqggssssggq.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 - 2*t**2 - 5*t - 1. Calculate w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3488120?\nAnswer: 2, 5, 29, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**16\/g*g)**(-3) assuming g is positive.\nAnswer: g**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 10*n**5 + 566*n**4 - 20508*n**3 + 202672*n**2 - 669184*n + 236544 = 0.\nAnswer: -84, 2\/5, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -114\/47, -2.284, 0.66?\nAnswer: -2.284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/16598 and -101\/7016.\nAnswer: 58225784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000100010000000011 + 11?\nAnswer: 1000100010000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000009096 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3645*m + 33 = -3634*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -58, -140, -256, -406, -590, -808, -1060?\n\"Answer: -17*s**2 - 31*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -1871 and -1872 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-400)\/125)\/(-4)*(-250)\/2400.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.9*-3840.\nAnswer: -7296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 45 - 26. Suppose 30*j - 657 = 21*j. Calculate the remainder when j is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**1*k)\/k)**(1\/3)*k*k*(k\/k**(2\/5))\/k*k*((((k**0\/k)\/k)\/k*k)\/k)\/k*k assuming k is positive.\nAnswer: k**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1103478860 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of -14*a + 0*a**3 + 1\/10*a**5 + 0 + 0*a**4 + 9*a**2. Differentiate r(s) wrt s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b. Suppose -1 = -2*z + 1. Let f(y) = -2*y - 3. Let o(h) = -h - 1. Let q(r) = z*f(r) - 3*o(r). Give n(q(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -4. Suppose -x*p + 9 = p. Let o(y) = y**2 + 6*y - 9. What is the remainder when o(-8) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 3 + 5)*(-5*j**2 + 3*j**2 + 0*j**2)*(-45*j + 257*j + 143*j) as a*j**2 + m*j**3 + r*j + g and give m.\nAnswer: -1420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 825832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-7) - 47\/(-7). Suppose 5*v - 13 = -a + 2, 11 = v + a. Put 3, v, b in increasing order.\nAnswer: v, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3\/(-1))\/(-1))\/((-21 - 23) + 128 + -31)?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1645.906 nanograms to milligrams.\nAnswer: 0.001645906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27 by 27.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3100992.\nAnswer: 2, 3, 31, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9713*t**4 - 2246?\nAnswer: 38852*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 194269 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4020, -4203, -4516, -4965, -5556, -6295, -7188?\nAnswer: -8241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o**3 - 650*o**2 + 10080*o = 0. Calculate o.\nAnswer: 0, 18, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-30)\/4*(-6)\/9. Suppose 9*s - s = 16. Suppose 154 = m*b - s*n, b - 3*n - 18 = 18. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/87  (b) 13\/6  (c) 2  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jncdipnp. Give prob of sequence pp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 152 + -122. Factor -30*b**2 - 344*b**4 + 339*b**4 - 30*b + 10*b**2 + l*b**3 + 25.\nAnswer: -5*(b - 5)*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -185 (base 13) to base 7.\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/(-216) - 8588\/882) + 10.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-33) - -3*125\/(-1155)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 106*a**5 - 5*a**2 + 21633*a wrt a?\nAnswer: 2120*a**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 4 + -2 + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u + 1. Let r be q(-3). Let a = r - -4. Suppose -a*g = 9 - 37. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43833510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -36, -11778?\nAnswer: -11778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-261)\/5568)\/(33\/220). Suppose -5*d + 44 = -x, -d + x = 4 - 16. Suppose 0 = 4*t - 2*t + p - 4, 5*t - 2*p = -d. Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 46300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4164.031 years to centuries.\nAnswer: 41.64031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 - (150 + -11 + -81).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -49889 by 419.\nAnswer: -49889\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/2 - 84\/(-8). Suppose -5*j + 23 - 5 = 2*m, j - m + 2 = 0. Let a = 0 + j. Solve -4*v = 4*c - 2*c, z = -a*v + 4*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 + -19. Let m be (16\/(-2) - 2)\/z. Suppose 2*f = 4*f + 4*b - 24, -m*f - 4*b + 54 = 0. What is the lowest common multiple of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 649562758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the first derivative of v**2 + 4*v + 1\/4*v**4 + 3 + 2\/3*v**3. Let y be 16\/(-224)*(0 + 6)*7. What is h(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 53580130 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -332.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1717.18 rounded to the nearest 10?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30.941 + 0.059. Let p = t - 30.858. What is p rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 528731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2\/15, -1\/11, 4864?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/(-35)*6\/24 and (-3255)\/756 - (-18)\/81?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-537)\/((2\/(-4))\/(21\/6)). Calculate the greatest common divisor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -2512\nAnswer: 3\/2512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.2 - 3. Let z = 5.944 + -0.404. Let h = z + -0.54. What is the biggest value in s, 0, -0.07, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -7. Let j(o) = 2*o. Suppose -d + 4*b = -4*d - 4, -4*d = b + 14. Let n(g) = 2*g + 79 - 79. Calculate d*n(r) + w*j(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/31, 11.78, 9?\nAnswer: 11.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -21 + 17 - (53\/(-7) - 15\/35). Solve -1\/5*f**3 + 0 + 0*f + 6\/5*f**2 - 6\/5*f**a + 1\/5*f**5 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/275 equal to -36576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 15) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33880\/40656*(-5)\/(10\/(-132)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 271*p + 860. Let u be s(-3). Calculate the greatest common divisor of 15886 and u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15801.15 rounded to the nearest 10?\nAnswer: -15800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -240*t**2 + 68*t**2 + 84*t**2 - 393*t**3 + 2*t + 83*t**2 to k + p*t**2 + b*t**3 + m*t and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.028264494 - -268895.\nAnswer: 268894.971735506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 - 89 = -3*d. Is 11 a factor of (-2 - (d + 2))\/(1\/51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/86  (b) 2\/5  (c) 4\/3  (d) 0.3  (e) 3\/7  (f) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 49*k = 585. Solve 3*h + 3*s = 4*s + 1, -3*h + k = -4*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 473 - 68 = 0. Suppose -5*x + 412 = -2*c, x + c + 0*c = m. Suppose 0 = 3*b + 5*h - 1067, -4*h - 1885 + x = -5*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 3*l - 78, -3*m + 49 + 5 = 5*l. Suppose v - 110 = -5*f, 0 = -f + v + 16 + 12. Calculate the greatest common factor of m and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1101 - 4180 - 2217 - 3733*s - 3 wrt s.\nAnswer: -3733","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -143 + 285 + 37*l**3 - 3*l**3 + 32*l**3 - 142.\nAnswer: 66*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3 + 118*q**2\/3 - 1120*q\/3 - 800\/3.\nAnswer: -(q - 20)**2*(3*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of -y**5\/60 - 3*y**4\/8 + 5*y**3\/3 + 4*y**2. Is 5 a factor of l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12*(280\/20)\/28?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 46, -4, 3, 2 in ascending order.\nAnswer: -4, -1, 2, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58348600.\nAnswer: 2, 5, 291743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14\/3 or -36?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, k: 5}. What is prob of sequence knk?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -7*k**3 - 47*k**2 - 2*k + 11. Let d(j) = -19*j**3 - 139*j**2 - 6*j + 34. Determine -8*b(t) + 3*d(t).\nAnswer: -t**3 - 41*t**2 - 2*t + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -34245550\/7 greater than -4892222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2681440825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10116, 2\/7, 1 in decreasing order.\nAnswer: 1, 2\/7, -10116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (14\/4 + -3)*-12. Let f be -1 + 3 + c\/(-2). Suppose -3*s + 27 = -b - 56, f*s - 135 = b. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 297253356.\nAnswer: 2, 3, 24771113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 - 110*h + 1194. Calculate j(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of 1\/2*f**2 + 0*f - 1\/24*f**4 + 5\/6*f**3 - 3. Let d(n) be the second derivative of p(n). What is d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (11\/4)\/(3\/12). Let a = y - 6. Let v = a + 23. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2750 and 7267150?\nAnswer: 36335750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 841*a*k + 6329*a - 11*k - 1 wrt k?\nAnswer: 841*a - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8406 (base 14) to base 10.\nAnswer: -22742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -15, -54, -129, -252, -435, -690, -1029?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3690018 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 - 12*g + 30. Let q be b(9). Suppose -20 = 13*o - q*o. Is ((-52)\/12)\/(o\/72) - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i - 4. Let m(u) = -10*u + 17. Let k(l) = -5*l + 9. Let y(w) = -5*k(w) + 2*m(w). Let s(z) = -11*r(z) + 4*y(z). Let o(f) = -f. Calculate s(o(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 65 and 247?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, a: 17}. Give prob of sequence ea.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -343  (b) -6  (c) 7\/3  (d) 2\/9  (e) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 39366 and 54675?\nAnswer: 984150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -17.89 and -0.4?\nAnswer: 7.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7597\/4 + -1909. Calculate the common denominator of 65\/8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -6, -7, -1 in increasing order.\nAnswer: -7, -6, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29029\/((-15)\/10 - (-30)\/12).\nAnswer: 7, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 281268 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o - o - 3*o)*(-3*o + 4*o - 2*o) - 4 + 4 - 2*o**2 + (37*o - 31*o - 27*o)*(-28*o - 383 + 383).\nAnswer: 587*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18872675?\nAnswer: 5, 754907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**3 + 39*v**2 + 80*v + 218. Let t be j(-37). Put -5, -3, -30, t in decreasing order.\nAnswer: -3, t, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 d when three letters picked without replacement from cccld?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 652596 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggvgggvgggg. Give prob of sequence vvgg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1669, -1594, -1519?\n\"Answer: 75*v - 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/4 - (-5)\/2. Let u(f) = -f**3 - 15*f**2 - 29*f - 39. Let q be u(-13). Solve q = -0*t - m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 964.1205 decades to centuries.\nAnswer: 96.41205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 0 + 2 + 1 - 26*z - 2. List the prime factors of i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/119 and 83\/210?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 AM and 2:00 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 divided by -11.\nAnswer: 35\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c - 5. Let w be x(-6). Suppose 70 = 5*s + 2*t, -s + 2*t = w - 3. Suppose -3*i - s = -42. Calculate the remainder when 38 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 3 s when four letters picked without replacement from sessaeasaas.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*a - 1040000. Suppose -f = f - a. What is f rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -3*g + 76. Let s be d(24). Let k(y) be the second derivative of 1\/12*y**4 + y**2 + 1\/6*y**3 + s*y + 0. What is k(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2085540970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10310*p**3 - 2*p**2 + 158*p + 6 wrt p.\nAnswer: 61860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 - (39 - 26 - (0 - -5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 - 26.1. Let u = 0.6 - 0.1. What is the nearest to s in 7, u, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6080.9246 - 6131.51. Let a = u + -0.1146. Let p = a + 51. Put p, 1\/4, -1, 1 in increasing order.\nAnswer: -1, 1\/4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/1400 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -3. Let l(x) = -x - 1. Calculate l(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-42)*3 + (-25)\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - t - 128 = 0. Suppose 7*a - 3*a - t = 0. Calculate the highest common divisor of 20 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = n + c, -336*c - 22 = -4*n - 334*c for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of -b**4\/3 - 13*b**3\/6 - 3*b**2\/2 + 67*b. Factor u(c).\nAnswer: -(c + 3)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 260263 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-12)*104\/(-78)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -2*s - 4*m + 187, 0 = -m + 2. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 473677.\nAnswer: 181, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000254689 rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-840)\/(-45))\/(-7))\/((-1)\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 348*n**2 - 7*n + 4. Let r be z(-4). What is r rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/1 + 1 + -14 + 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**4 + 1131*z**3\/2 + 3707*z**2\/2 + 1572*z + 286 = 0. What is z?\nAnswer: -2, -1, -1\/4, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of j**6\/720 - 13*j**5\/360 + 11*j**4\/36 - 8*j**3\/9 + 46*j**2 + 3*j + 14. Solve n(s) = 0 for s.\nAnswer: 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 23. Which is the closest to -0.14?  (a) 1  (b) -3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 50 - 45. Is 5 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -215, -6, -5, 16845 in descending order.\nAnswer: 16845, -5, -6, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75276, -150501, -225700, -300861, -375972, -451021?\nAnswer: -525996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 53, 1\/2, 4, 0.1, -3493 in ascending order.\nAnswer: -3493, 0.1, 2\/7, 1\/2, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/9*(10\/1 - 12)\/(-4). Let x = -1.5 + 5. Let i = x + -3. Put i, -3, r in increasing order.\nAnswer: -3, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3512291485 a multiple of 2588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 + 89*y - 6000. Give n(-134).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 27\/2 of a second?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -106852 (base 11) to base 7\nAnswer: -1305544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3\/11 - 19248*f**2\/11 - 61747584*f\/11 - 66028749824\/11.\nAnswer: -2*(f + 3208)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2524, 5, 3 in ascending order.\nAnswer: -2524, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1176\/(-441) + (-3 - (-28)\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1328145 is divided by 4249?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*q + 2*q**2 + 2*q)*(-18 + 149 + 120 + 41 + 102)*(12 - 1 - 2) to x*q + b + d*q**2 and give d.\nAnswer: 7092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1375, -2754, -4133?\n\"Answer: -1379*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -3*y**5\/2 - 20635*y**4 - 70414187*y**3 + 3808114546*y**2 - 42859549055*y\/2 + 6722742525 = 0.\nAnswer: -6905, 1\/3, 6, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26 + -35. Calculate the common denominator of g and -25\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -28. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 - 17. Calculate the remainder when i is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63108929?\nAnswer: 13, 109, 44537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -267*g + 6691. Determine q(25).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000013952 to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3*x**3 + x**2 + 1. Let o(w) = 24*w**3 - 149*w**2 - 9. What is 2*o(s) + 18*u(s)?\nAnswer: -6*s**3 - 280*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 AM and 10:06 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-6) + (-3)\/9. Determine b, given that b**2 + 1 + p - 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -6, -67, -210, -471, -886, -1491?\n\"Answer: -6*t**3 - 5*t**2 - 4*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 5191*d - 31137. Determine k(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 AM and 5:42 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 622 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 2*g - 20. Suppose 3*l + 0*l + 4*i + 7 = 0, -g*l + 5*i + 32 = 0. Suppose -5*w = -r + 32, -2*r - l*r + 10 = 5*w. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -24*j**3 - 2*j**2 + 2*j. Let h be a(2). Suppose 6320 = -14*n + 34*n. Let y = h + n. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 4*r - 1018, 447 + 822 = 5*r + 3*w. Calculate the highest common divisor of 45 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, 4 in decreasing order.\nAnswer: 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107 = -14*d - 9. Suppose 4*w = d*w - 477. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 239 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 306 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 12365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 5*o**3 - o**2 + o. Let l(p) = -p**3 + p**2 + p - 1. What is -c(t) + l(t)?\nAnswer: -6*t**3 + 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25181 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - (-42)\/70*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*2\/(-16) + 190\/240.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2223 is divided by 343.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -c**3*v**2*x - c**3*v*x**2 - c**2*v**2*x**2 + 2*c**2*v**2*x - 28*v**2*x wrt c.\nAnswer: -6*v**2*x - 6*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(38)\/sqrt(2) + 3 - (sqrt(38)\/sqrt(2)*-5)**2.\nAnswer: -472 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 701413 is divided by 344.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 13) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**4\/2 + 149196*g**3 + 298391*g**2\/2.\nAnswer: g**2*(g + 1)*(g + 298391)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 smaller than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000083171 rounded to 6 dps?\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1038388328 to the nearest integer?\nAnswer: 32224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -900065 minus 19?\nAnswer: -900084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/8, 2, 4, 1\/3, 4\/9 in descending order.\nAnswer: 4, 2, 4\/9, 3\/8, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 50.96812 weeks?\nAnswer: 8562.64416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 AM and 5:11 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1158 - 787. Let i = g - 354. What is the greatest common factor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 31460 or 31426?\nAnswer: 31426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3 and -16783256856?\nAnswer: 16783256853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 2)*(-628 + 626 + 326*t + 51*t).\nAnswer: -1131*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -4*y + 291. Let o = 151 - y. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 0.021.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 74 or -125429?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**2 + 3*b + 3. Let s(f) = 2*f**2 - f - 3*f + 2*f - 2. Let j(q) = -4*l(q) - 6*s(q). Let h(g) = -g. Give h(j(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 15) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*s**2 - 65*s + 28*s**2 - 4 + 4 - 13*s**2.\nAnswer: -s**2 - 65*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 AM and 5:03 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1519*d*q**2 + 158*d*q + 2*d - 94*q**4 + 81*q**3 - q - 1928 wrt q.\nAnswer: 3038*d - 1128*q**2 + 486*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4708.2 - 4708. What is the second smallest value in 4, 0.52, a, -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*i = 163 - 577. Find the second derivative of -16 + 27 + 41*a - 10 - 34*a**2 - i*a**2 wrt a.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8547335.\nAnswer: 5, 71, 24077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 4*o**2 - 205796*o - 25993800 = 0.\nAnswer: -126, 51575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.05 - -5.95. Let z = c - 5. Is z at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1462 (base 10) in base 15?\nAnswer: -677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-24)*-6)\/(21\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29810321\/332 - 89790. What is the common denominator of i and -3\/11?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 18*l**5\/5 - 21056*l**4\/5 - 985824*l**3\/5 - 3868108*l**2\/5 - 3501138*l\/5 - 119556 = 0?\nAnswer: -41, -3, -1, -2\/9, 1215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2198)\/(-56) - 2\/8. Let b(m) = -2 + x*m**2 + 11*m - 9*m - m. Is b(1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 3:56 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 8*u - 13*u. Suppose 2 = t - 4. Let f = -8 + t. Put 5, u, f in ascending order.\nAnswer: f, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 222*a**2 - 222*a**2 - 98*a**3.\nAnswer: -98*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.074 and -77.\nAnswer: -5.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x - 7. Let j be r(-11). Suppose 4 = l, 3*z + 2*z = 4*l - 31. Let b = z + j. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - 1101110101101101010101?\nAnswer: -1101110101101101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 9*r + 10*r - 5 = 0, 0 = -5*w - 3*r + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 0*b - 3*j + 16 = 0, -170 = -5*b + 3*j. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - -1. Let h(q) = -16*q**2 - 6*q - 1. Let k(j) = 3*j**2 + j. Determine p*k(u) + 2*h(u).\nAnswer: u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p**3 + 82*p**2 + 6*p + 240. Calculate a(-41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 - 9*k + 0*k**2 + 7*k - 7. What is the tens digit of z(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 3*p = p + 6, d = 5*p + 12. Let s be 3\/(6\/4*1). Suppose 0 = -3*x + d*l + 3 - 1, s*l - 8 = -2*x. Solve -x*y + 1 = 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 747321287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0278 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 15, a: 5}. What is prob of picking 1 a and 3 m?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b**3 + 3*b**3 + b**3 + 4*b - 3 - 4*b**3 + b**2 in the form y + c*b**2 + d*b + f*b**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*l - 13*l + 108*l.\nAnswer: 81*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-2 + (9 - (5 + 8)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 156 and 3063471.\nAnswer: 477901476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, m: 1, k: 5, p: 7}. Give prob of sequence mkkk.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + (34 + -1 - (-9 + 0)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3 + -1.3. Let i = 196.84 + -197. Let n = i - -7.16. Which is the second smallest value?  (a) -4  (b) n  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m**3 + 131*m**2 + 212*m + 59. Determine w(-42).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -10*p**2 + 5*p - 5. Let o(x) = -x**2 - x + 1. Suppose -2*v + 0 + 2 = 0. Let l(y) = v*c(y) + 5*o(y). Let q(k) = 2*k**2. What is q(l(t))?\nAnswer: 450*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 97418749\/130190244 + 119\/48326. Let l = 1\/1347 - w. Which is the closest to 0?  (a) 3  (b) 2\/17  (c) 0.5  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 661 + 73 = 0. Let h = -183 - a. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((4 - 2) + -6)*-1. Let l(v) = -3*v + d*v + 0*v - 2*v. Let b be l(-2). Solve -b*g + 6 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-100)\/(-600))\/(13*30\/6435)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o**3 - o**2 + 3*o + 18. What is a(4)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 52 + 5. Calculate the remainder when 42 is divided by y\/(-2) - (-6)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 3) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 549 - 546. Solve -5*h = 8*l - 4*l + 20, -n*l + 8 = -2*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -27 + 27 + x + (2 + 0 - 3)*(x + 2*x - 5*x) + 3 + x - 3 - 3*x - 10*x - 51*x in the form c + s*x and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.076744 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of l**6\/72 - l**5\/6 + 8*l**3\/3 + 3*l. Let h(y) be the second derivative of z(y). Factor h(w).\nAnswer: 5*w*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-3)*102\/(-68)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= 3\/204887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q + 8*q - 25 + 25 + 14*q.\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 64 + -63.22. Let q = -0.8 + y. Let h = q - -0.22. Sort 3, h, -3\/5 in descending order.\nAnswer: 3, h, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of 1\/60*m**5 + 0 - 7\/6*m**3 - 1\/4*m**4 + 0*m - 7*m**2. Let k = -617 + 622. Calculate y(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*c - 836 = -135*c. Suppose 0 = -h - 41 + c. Solve 0 = h*n + 12 - 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaxaaaaxaaaaa. What is prob of sequence axx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -46*g**2 - 3. Let q(c) = -47*c**2 + c - 4. Let t(i) = -5*d(i) + 4*q(i). Is t(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {y: 7, t: 7, s: 2}.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68 = -4*y - 4*y + 3*l, -2066*l + 2065*l = -y + 6 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 14\/(-6) + 65\/150 + (-2)\/20. Let o = 2 + -2.4. Sort o, -5.1, z.\nAnswer: -5.1, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-165)\/22 + 6)*8\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6033 is divided by 434?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2115 minus -9428483?\nAnswer: 9428483.2115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 67 = -3*z + 5*t, -185 = z - 6*t + 178 - 287 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - (-3 - (-25 + 18))) + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of 0 + 1\/2*s**3 + 1\/4*s**4 - 1\/120*s**6 + 9*s - s**2 - 1\/12*s**5. Let a(r) be the first derivative of m(r). Determine a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202*q**2 - 5*q - 14*q + 19*q.\nAnswer: -202*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -224*p + 5211. What is k(23)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 771?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14922114.\nAnswer: 2, 3, 41, 60659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (27843 - 3\/6*2) + 7 + -3?\nAnswer: 2, 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 109, -116, -21, 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 PM and 2:32 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (69 - 32) + -39 + (14 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42303245 (base 6) to base 7.\nAnswer: 13341542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**3 - q**3 + q**3 + (q**2 + 1 - 1)*(-2*q + 0*q + q) - 62*q**2 + 17*q**3 + 62*q**2.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 502143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 10*v**3 + v**2 - 2*v + 1. Suppose 0 = 5*f - 20, 3*j = -4*f + 20 + 62. Let r be (-4)\/j + (75\/(-11) - -8). Give y(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1, 1\/2, -3, -0.4, 595, 0.21?\nAnswer: 595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.016 - -1.984. Let l = 0.5 + 0. Sort 2\/7, u, l, 18 in ascending order.\nAnswer: 2\/7, l, u, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1430100102 (base 6) to base 13.\nAnswer: 3869b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*g**2 - 18*g**2 - 4*g**2 + 18*g**2 + (-2*g + g + 3*g)*(-2*g + 2 - 2) + 3*g - 3*g - 2*g**2 + g**2 - 5*g**2 + 3*g**2 + 44*g**2 + 3*g**2 + 33*g**2.\nAnswer: 58*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -4*v + 54. Let f(h) = 2*h + 2. Let m(b) = f(b) - n(b). Let a be m(9). Solve 5*g - 4*j = a*g - 11, g = -4*j - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02371602309 to five dps.\nAnswer: -0.02372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1684504 by 8.\nAnswer: 210563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 - 5. Let t(v) = 2*v**2 + 6. Give 3*d(i) + 2*t(i).\nAnswer: i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1419437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*l = -56*l - 37. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/11989257 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5723191 divided by 5723191?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-2 + sqrt(468))*-3 + (sqrt(468) - 2*(0 + sqrt(468))))**2.\nAnswer: -37620 + 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 63185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 768.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 0. Let h(n) = -4*n**3 + 3*n**2 - 3*n - 3. Let i(o) = -5*o**3 + 2*o**2 - 2*o - 4. Let z(f) = -4*h(f) + 3*i(f). What is z(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/354)\/((-873)\/432 + 2). Is 1 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -13*r**2 + 14*r. Let h be (-13)\/26 + 3\/(-2). Let m(c) = 53*c**2 - 55*c. Let g(n) = h*m(n) - 9*w(n). Find the second derivative of g(z) wrt z.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -39947757994\/9794609 - 2\/890419. Let w = p + 4075. What is the common denominator of w and -33\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 12, i: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*((-14)\/42)\/((-12)\/(-30) - (-393)\/(-45)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1208\/9060*45\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/4 + (-19 - (-4170)\/(-540) - -27)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000816191 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 3*m + 33. Let v be (-14 - (-3 + 2)) + (-24 - -28). Let i be l(v). Solve 3 = -t, i*t - 2*t + 18 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/(sqrt(90) - sqrt(10)))\/((sqrt(8)*-1)\/sqrt(2)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -221 (base 9) in base 10?\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1908 + 142 = 10*s. Suppose -3*p = 2*p - s. List the prime factors of p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 4*w - 1651 + 587 = 0, 4*i - 5*w - 2167 = 0. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1044 (base 14) in base 10?\nAnswer: 2804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.47944 times 4697\nAnswer: -2251.92968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -l**4\/3 + 5*l**3\/3 + 10*l**2 - 40*l\/3 - 64\/3 = 0. What is l?\nAnswer: -4, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c = -c - 80. Suppose -13*q + 984 = -c*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/13066 and 17\/10008.\nAnswer: 470376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20806492 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 680 and 36?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.5 less than -0.7?\nAnswer: -71.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 233148 and 768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -7*x. Let v = 1.5 - 1.2. What is the closest to x in v, 3, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 13639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**5\/3 + 12328*t**4\/3 - 467413*t**3\/3 + 1610170*t**2 - 2211876*t - 3981960 = 0. Calculate t.\nAnswer: -1, 3, 18, 12290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eexxex. What is prob of picking 2 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -14 and -3641\/263 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a - 4. Let q be n(11). Let l(c) = 2*c**3 - 7*c**2 + 7*c. Let j(w) = -w**3 + 5*w**2 - 5*w. What is q*j(k) + 5*l(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11835687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 4*y - 132, 2*y + y - 183 = -3*g. Suppose -g = -0*a - 4*a. Let b be 4\/a + 52\/14. Solve 2*i + b*n - 19 = n, -i + 8 = n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -158*b**3 - b**4 - 3*b + b**2 - 162*b**3 + 319*b**3 - 8*b**2 as g*b + r*b**2 + n*b**4 + x*b**3 + j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 4*f**2. Let x(z) = 6*z - 7. Let d(y) = 2*y - 2. Let s(t) = t - 1. Let n(b) = -d(b) + s(b). Let h(k) = 14*n(k) + 2*x(k). Determine p(h(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6599\/62685 + 14\/199. Find the common denominator of 68\/315 and n.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - -36?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 57406\/((-19)\/(-19))*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.066 - -1.366. Let q = z - 1.300000016. Round q to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2364513 and 1428.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 542213662.\nAnswer: 2, 271106831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1749 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 68, 65, 62, 59, 56, 53?\n\"Answer: -3*o + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1168527449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -14058766, -14058765, -14058764?\n\"Answer: z - 14058767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 1 = 0, -x + 7*u - u = 1 + 3 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 + 6449*q**2 + 3723*q**2 + 22.\nAnswer: 10172*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1620\/13 or 125?\nAnswer: 1620\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4470?\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-32 - -1) + (-3860 - -3893)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -844, -805, -774, -757, -760, -789?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -8, -4, -1\/3, 3, 16, -2366 in descending order.\nAnswer: 16, 5, 3, -1\/3, -4, -8, -2366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of -5*a**3\/6 + 2*a**2 - 19*a. Let d be b(1). Let m(v) = 4*v - 7. Let t be m(3). Sort 1, 0, d, t in descending order.\nAnswer: t, 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2 + 21*r + 6. Let a be g(-10). Sort a, -3, 3, 0 in increasing order.\nAnswer: a, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12\/23 or -128\/113?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = v + 6, 0 = 4*v - h - 4. Let l(u) = u + 3. Let r be l(-6). Sort r, 5, v in descending order.\nAnswer: 5, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2660736, -2660730, -2660724, -2660718, -2660712, -2660706?\nAnswer: -2660700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 + 12*w**2 - 14*w - 16. Let h be k(-13). What is the second biggest value in 0.4, 7, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 86 (base 14) to base 2\nAnswer: 1110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 take away -215425?\nAnswer: 215425.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (26 - ((14 - -2) + (7 - 16))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -3, 5 in descending order.\nAnswer: 11, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of a**6\/720 - a**5\/24 + a**4\/12 + a**3\/3 + 15*a**2. Let k(r) be the second derivative of f(r). What is k(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1325 by 5.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -6+-126227\nAnswer: -126233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8498 - 8496. Let t = -0.03 - 0.07. Which is the closest to 0.1?  (a) t  (b) 2\/13  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 3, 0.79, -1220, 12, 2?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2 + 7019763*g - 7019760.\nAnswer: -3*(g - 2339920)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 835339, 1670680, 2506021, 3341362?\n\"Answer: 835341*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1419)\/22*2\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2051047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 94827759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 3 = -x, 0*x + 2*x = -h - 1. Let t = 19.41 + -0.41. Let o = -16 + t. What is the nearest to h in -1, -0.5, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -643 + 731. Calculate the lowest common multiple of w and 110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 3*u**2 - 488*u + 4141. What is t(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10930571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s**2 - 23*s + 41. Let c be d(10). Is ((-11)\/c)\/(1\/(-33479)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 924 and 12615504?\nAnswer: 88308528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (28 - 336 - 348)*(w + 0 + 0) to the form r + v*w and give v.\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -19391\/5 greater than -3879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -43, -46, -129, -304, -583, -978, -1501, -2164?\n\"Answer: -2*a**3 - 28*a**2 + 95*a - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 7*h**3 + 15*h**2 + 5*h. Let v(w) = -6*w**3 - 14*w**2 - 6*w. Let q(k) = 2*p(k) + 3*v(k). What is t in q(t) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i - 3. Let w be p(-6). Let t be ((-1)\/(-1))\/(w\/2). Find d, given that -d**2 + 0*d + t*d**3 + 1\/3 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 341 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14*a**3*m**2 - 101*a**3 + 2*a**2 - 70*a*m**2 + m wrt m?\nAnswer: 28*a**3 - 140*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7928 bigger than 7780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 41973671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 58 - 16. Let d = r - -21. Let y = -25 + d. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**3\/3 - 22*r**2 - 242*r - 2662\/3 = 0. Calculate r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 206 and 1286.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/13, 769, 8, 1\/8, 2\/17, -2\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 755 + -758. Which is the closest to -1?  (a) 0.5  (b) -4  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -17 + 6 - -11 - 9. Let o(i) = -4*i + 23. Let t(a) = 2*a - 11. What is m*t(r) - 4*o(r)?\nAnswer: -2*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*t + 79*t - 2*t**2 + 2*t**2 - 3*t**2 = 0. Calculate t.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 1078*d**2 + 171*d - 824. Is b(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34, -46, -60, -76, -94, -114, -136?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = 2*v - 5, 15 = 93*v - 90*v - q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 7*l - 11. Is 53 a factor of y(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iv when two letters picked without replacement from yiwvwwwxgww?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -4*f - 17. Let y be v(-4). Let i be (y\/(-3))\/(1\/78). Let h = i + -24. Solve h*a + 5*x - 15 = 0, -8*x + 45 = -5*a - 4*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(153)*1 + 4)**2 + -5).\nAnswer: -656 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 495583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of 1\/4*f**4 - 1\/2*f**2 + 0*f**3 - 3 + 0*f. What is the second derivative of m(v) wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -11208971, -22417943, -33626915?\n\"Answer: -11208972*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64, -115, -164, -211, -256, -299?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 + (18\/33)\/(22\/121). Solve 0 = -3*q - 4*k - 15, -4*q + k - 19 = p*k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7033145449.\nAnswer: 11, 58125169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -5*z**2. Let s(r) = 54*r - 21. Let u(x) = -13*x + 5. Let w(m) = 5*s(m) + 21*u(m). Calculate j(w(t)).\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 11, u: 2, w: 1}. Give prob of picking 1 e and 1 w.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11)\/12 - 2\/(-3). Suppose 11 = -4*l - v, -4*l - 32 = -l - 4*v. Let h be 2\/4 + ((-442)\/100 - l). Which is the biggest value?  (a) h  (b) y  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 AM and 5:01 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(288)*3 - (3*sqrt(288)*2 + sqrt(288)))**2 + 4.\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - 4.8. Let d = -5.2 - -8.2. Suppose -5*f - 3*g = 11, -3*f - g + 5*g + 5 = 0. Sort f, n, d.\nAnswer: f, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -2\/5  (b) -49  (c) -0.3  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*g + 22. Solve -4*r - 16 = 4*c, 5*r + g = r - 5*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180 = -5*b - 3*s, -3*b - 3 = 4*s + 116. Let z = 91 + b. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142643*c**3 + 8*c - 2 - 2 + 6 + 0.\nAnswer: 142643*c**3 + 8*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -561237 (base 11) to base 16\nAnswer: -da6fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 + 17. Let h(u) = -43*u + 75*u - 1 + k*u. List the prime factors of h(2).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10\/3 smaller than 3640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -ab5 + -18?\nAnswer: -b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 330*a + 2969. Give g(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1\/5, -0.3, 7\/12, -0.4, -0.05, -1\/14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -3*h, 3*h - 2*h = -4*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -333 or -1357?\nAnswer: -1357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*(-11)\/(-66)*2\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 - 3*p - 13. Let m be v(-3). Let d(g) = 5*g**3 - 2*g**2 + 2*g + 1. Let z(t) = -10*t**3 + 4*t**2 - 5*t - 3. Calculate m*d(b) + 2*z(b).\nAnswer: 5*b**3 - 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245)*-2 + sqrt(245) - sqrt(80)*-2)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 37*d + 1319. Calculate the smallest common multiple of 33 and w(-29).\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 302*r - 17484. Calculate t(58).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 4*o. Let x be (16\/20)\/((-4)\/40). Let f(y) = 12*y. Determine x*u(j) + 3*f(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.01867, -0.2, 0.3, 2\/17, -2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 25 = 0, -4*i - 35 = s - 4*s. Sort s, 4, 3.\nAnswer: 3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + sqrt(20))*-6 + 6*(-3 + sqrt(5) + sqrt(5)) + ((-4 + sqrt(25)\/sqrt(5) + 2)*6)**2.\nAnswer: -150*sqrt(5) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 21*u. Let l(f) = -40295*f. Calculate l(o(d)).\nAnswer: -846195*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -42 times 0.0217\nAnswer: -0.9114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 54 - 49. Suppose -3*o - h = 2*l, 11 = 4*l - 3*o - 6. Which is the nearest to -5?  (a) 4  (b) 3\/5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -148 + (-113310)\/(-765) + 2724\/(-34).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -1.2, 782?\nAnswer: 782","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39322.\nAnswer: 2, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 - 8*p**2 + 7*p - 11. Let g be z(-9). Suppose c = g + 9. Suppose -o + 0*o = -c. What is the highest common factor of o and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/3 in 0, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 25589114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than -2\/34827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*w = 2*w - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 3 - (6 - 3) - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3718.68 and 0.7.\nAnswer: 2603.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 186698 and 1662?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -176 + 7*t**2 - 175 - 177 + 528.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -0.6, -4\/3, -0.2, 8 in descending order.\nAnswer: 8, -0.2, -1\/2, -0.6, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 12*m + 1. Let k(c) = -c. Let l(y) = 6*k(y) + x(y). Is l(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73, 78, 89, 106?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 284749 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 135 = 5*n - 0*q, -4*n + 106 = 2*q. Let y = 28 - n. Solve 5*j = 3*g + 7, 2*g + 3 = y*j + j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 3  (b) -3\/554  (c) 2\/5  (d) 2\/3  (e) 579  (f) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 125*l**3 + 128*l**3 + 168*l**3 + 135*l**2 + 0*l + 6 - l - 2*l**4 - 420*l**3 to the form d*l**3 + m*l**4 + i + o*l + y*l**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 4:25 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -17*g**4\/3 - 5*g**3 + 19*g**2\/3 + 5*g - 2\/3 = 0. Calculate g.\nAnswer: -1, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.08 - 2.92. Let g = -710 - -712.93. Let v = 0.07 + g. What is the third biggest value in w, 1\/6, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1211 less than -23639?\nAnswer: -24850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 100212 (base 3) in base 2?\nAnswer: 100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*p - 75*p**2 - 9*p to the form g*p + z + r*p**2 and give r.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1265 - -1270. Which is the smallest value?  (a) -0.1  (b) p  (c) -38  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -171 and 0.842.\nAnswer: -143.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -87 + 115. Suppose -l*t = -30*t + 156. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/55)\/(-6*22\/660)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 55619, 55656, 55693, 55730, 55767?\n\"Answer: 37*r + 55582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 1930000 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3824 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*h - 13*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -124*j**2\/5 + 38*j.\nAnswer: -2*j*(62*j - 95)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 16  (b) -1  (c) 6538  (d) -2  (e) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 2*x - 0 - 4, 3*l = x + 23. Let i be 0\/l + -2 + 3. Is 1\/2 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4735071124 minus -0.2?\nAnswer: -4735071123.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(76))*2 - (sqrt(2299) - (sqrt(2299) + 1 + sqrt(2299) + 4))**2)*-6.\nAnswer: 636*sqrt(19) + 13932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.26181282 and 1.\nAnswer: 0.73818718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -15640.4+-0.2\nAnswer: -15640.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 503 = -69. Let n be (-1)\/(-3) + r\/(-33). Calculate the remainder when 6\/n - 28\/(-21) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + 0 + (-2 - -1). Let j be (v\/(-1))\/((-11)\/(-33)). Find the third derivative of a**2 + 6*a**3 - 9*a**3 + 7*a**j wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -247*o - 76. Let i be b(-3). Let u = i - -503. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -381567*n**5 + 1225040*n**2 wrt n?\nAnswer: -22894020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/3996846 and -52\/469.\nAnswer: 267788682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, o: 3, v: 3}. Give prob of sequence vvrv.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5837 + -5589. Which is bigger: -10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + 38\/(-14) - -1)*9\/(-54).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46726620*-0.1.\nAnswer: 4672662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 64 - 54. Let l(k) = k**3 + 8*k**2 + 7*k + 3. Let n be l(-7). Let -2 + 1 + b**n + b**g - 7*b + 6*b = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 130, 313, 558, 877, 1282, 1785, 2398?\nAnswer: 3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*i**4 + 0*i**4 + 5*i**4 + (16 + 7*i**2 - 16)*(-5*i**2 + 3*i**2 + 0*i**2).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((9\/81*0)\/2)\/(2 + 0). Solve -4*h - 3*d - 24 = 0, n = -5*h + 5*d - 2*d - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 209, 411, 613, 815, 1017?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81535762?\nAnswer: 2, 7, 11, 29, 18257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - 4*j**2 + 3*j - 6. Let c be n(-5). Suppose -c*f + 405 - 317 = 0. Calculate the least common multiple of f and (-2)\/8 + 89\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -14, -57, -136, -257, -426, -649, -932?\n\"Answer: -u**3 - 12*u**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/6)\/((-9)\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3\/11 + 4*g**2\/11 + 6*g - 180\/11.\nAnswer: -2*(g - 5)*(g - 3)*(g + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-64)\/144*(54\/(-4))\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (52 + 98 + 22)*(0*s**2 + 5*s**2 + 0*s**2 + (-1 - 3 + 3)*(-s**2 + 4*s**2 - s**2)).\nAnswer: 516*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 * -4651.58\nAnswer: 279.0948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 77 - 74. Solve -k = -4 + u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13110828, 0.2, 2, -1 in decreasing order.\nAnswer: 2, 0.2, -1, -13110828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one quarters of a kilogram in grams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/(h*h\/(h**(1\/5)\/h))*h*h)**(-2\/139)*h**(-9\/4)*h**(-12) assuming h is positive.\nAnswer: h**(-39663\/2780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -542 + 2?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -3*y + 28. Let h(k) = 4*k - 28. What is -3*b(t) - 2*h(t)?\nAnswer: t - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = q - 4*g + 16, 2*q - 3*g + 7 = 0. Let s(d) = 5*d**2 - 3*d - 2. Let y(i) = 3*i**2 - 3*i - 1. Let p(w) = -s(w) + 2*y(w). Give p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -730 + 331?\nAnswer: -3ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5118995 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 955 = -5*m, 83*m - 88*m + 925 = 4*d. What is the fourth biggest value in -1\/3, 4, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 37*t**2 + 189*t - 11. Let z be v(3). Solve -888*w = -z*w + 8 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 294022, -4, -1 in descending order.\nAnswer: 294022, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 464 is divided by 121.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1148 and 2501?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4746870 + 4746876 + 20*q - 9493746 - q**3.\nAnswer: -q**3 + 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80731908.\nAnswer: 2, 3, 137, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 11*i - 6. Let u be 5 - (4\/(-6))\/(2\/(-27)). What is z(u)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 5*g**3 - 590*g**2 - 2439*g + 4. Give a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -35*i**2 + 488*i + 61. Let d be p(14). Solve -30*l + d*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5 + 9\/3)*-1. Let o = v - -8. Suppose 141 = 5*a - o*a + 3*x, 0 = 2*a - 4*x - 46. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*m + 19*m - 22*m)*(-5*m**4 + 32 - 32).\nAnswer: 60*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9340795 is divided by 138?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 228, -135\/34, -19?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -3 + (45 - (-15 - (-14 - (-34 + 17)))).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 a factor of 70391265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -849108.1 to the nearest 100.\nAnswer: -849100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -2*f**5\/9 + 80*f**4\/9 - 48*f**3 + 836*f**2\/9 - 686*f\/9 + 68\/3 = 0.\nAnswer: 1, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 16206991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that c**3\/3 + 3*c**2 + 2*c - 16\/3 = 0.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 96 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 633*s + 769 - 513*s**2 - 313*s - 320*s wrt s?\nAnswer: -1026*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 80 = -3*p + p, -p + 32 = 2*c. Suppose 0 = 3*b - d + 12, 4*b + 0*d + c = -4*d. Is 23 a factor of (-1028)\/(-12) - b\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 5*h - 23 + 8, 4*h - 12 = -3*w. Let z be (w\/5)\/(-2 + 1). Suppose z = -4*a - c - 3*c + 68, -5*c + 7 = -a. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*i = -16*i + 156. List the prime factors of i\/20 + -3 + 1517\/5.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 9*h**2 + 17*h + 5. Let i(r) = 4*r**2 + 10*r + 3. Let m(q) = -5*i(q) + 3*v(q). Give m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 126 and 16002.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*t - 26*t = -745. Find the first derivative of 13*l - 44*l + 33*l**4 - t + 17*l + 14*l wrt l.\nAnswer: 132*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 124 - 121.75. Round k to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 22 = l. Let j(g) = g**3 + 8*g**2 - g + 10. Suppose 6*i - 6 = 7*i. Let c be j(i). Calculate the greatest common divisor of l and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -331.3\nAnswer: 662.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(168)\/(sqrt(7)*1) - sqrt(24))\/sqrt(2))**2 + (6*-2*sqrt(108) - 2*(-1 + sqrt(108)))**2 + 3)*4.\nAnswer: -1344*sqrt(3) + 84700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8844 take away -0.32521558739?\nAnswer: 8844.32521558739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((1*sqrt(80))**2 - sqrt(80)))*-3.\nAnswer: -252 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide (420 + 10124)*7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-50)*(-650)\/52)\/(21\/2)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n - 1. Let x be l(-5). Let o(p) = 27*p - 30. What is the units digit of o(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t + 226*t = -1080 - 239 - 17296 for t.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - -1. Let v(j) = -j - 3. Let l be v(-12). What is the smallest common multiple of -3 + l + 2 - 0 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.3338784 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -5. Let z(p) = -p**3 - 3*p**2 + 3*p - 1. Let v be z(-4). Let u = v - 3. Are u and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of -l**6\/120 - l**5\/30 - 3*l**2\/2 + 3*l. Let s(b) be the first derivative of f(b). What is the third derivative of s(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 152 and 108 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 - 22 = -3*d. Let h(c) = -13*c + 156. What is the hundreds digit of h(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 40*c**4 + 3*c**2 + 4*c**2 - 39*c**4 + (0*c - c + 3*c)*(5 - 5 - 2*c**3) + 5*c**4 - 10*c**2 + 10*c**2 + 2*c**4 + 4*c**4 - 4*c**4.\nAnswer: 4*c**4 + 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 3*h - 66. Let v be h\/(-1*3\/(-48)). Let i = -7 + v. Calculate the lowest common multiple of i and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) 1  (c) 83  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + q + 152 = 0, 2*n + q - 58 = -0*n. Suppose 3*w + 13 - 28 = 0, 5*m = 2*w + n. What is the lowest common multiple of 6 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 + 6*r**2 + 6*r - 4. Suppose -7*h + 20 = -12*h. Let q be o(h). Differentiate -z**2 - 82 + z**2 + 78 + 7*z**q wrt z.\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 AM and 4:19 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130821.\nAnswer: 3, 43607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 4, 5*l - p - 15 = 4*p. Solve -8 = f - l*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -4.1946353 and -851.\nAnswer: -855.1946353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 363217442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of w**4\/6 - 3*w**2. Let o(k) = 2*k. Let n(h) = 7*h. Let u = 33 + -30. Let s(m) = u*o(m) - n(m). Give x(s(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 - (16 - -5) - (-63 + -5)) + -3 + 7.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d*x**2*y**2 - 2*d*x**2*y - 17*d*x*y**6 + 2*d*y - x**2*y**4 + y**2 wrt y.\nAnswer: -2040*d*x*y**3 - 24*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k**3 + 12. Let v be i(5). Let s be (2\/(-12))\/(v\/204). Which is the second biggest value?  (a) -0.1  (b) s  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 7345336218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 20 = -136. Suppose 0 = -3*c - 3*m + 7*m + 605, 4*c + 2*m - 814 = 0. What is the greatest common divisor of c and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x. Let z(o) = -7*o**2. Calculate z(a(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 135002*i - 3. Let h be u(2). Let w be 3\/(-6) - h\/(-2). Round w to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -5*y - 2*h + 25, -5*h = 3*y + 16. Let i = -1 + y. Let q(o) = -8*o**2 + 7*o**i + 3 - 3. Let c(z) = 5*z. Calculate c(q(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, x: 2, t: 2, z: 1, n: 5, f: 1}. What is prob of picking 1 z and 1 n?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 608, 1214, 1820?\n\"Answer: 606*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4152961, 4, 0.2?\nAnswer: -4152961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1497106 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 (base 16) in base 4?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {n: 3, e: 1, h: 13, c: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 144900 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5842101 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32076 and 140052?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/((k\/((k*k\/(k**(-2\/13)\/k))\/k))\/k)*k\/k**(-8))**(-16\/9) assuming k is positive.\nAnswer: k**(-304\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 61*i + 10 + 66*i - 193*i + 70*i. Calculate b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 27*q - 1127230. What is q rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39396450 and 300.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-4728 - 2)\/(-1) + (-93 - -95)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**3\/5 + 261*y**2\/5 + 2769*y\/5 + 676\/5.\nAnswer: (y + 13)*(y + 52)*(4*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 1912 = 5*m, -3*i - 335 + 1788 = -m. Calculate the highest common factor of i and 1288.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157*b**2 - 89*b**2 + 17*b**2 - 71*b**2.\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = x - 2*m, -9*x + 14*x + 5*m - 35 = 0. Solve -j = -5*b + 1 - x, 3*j = -3*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of -1\/12*w**4 + 0 - 5\/2*w**2 + 4\/3*w**3 + 17*w. Give g(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 73, 74, 85, 112, 161, 238?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -287, -3, 3, 0 in ascending order.\nAnswer: -287, -4, -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -225956, -903497, -2032732, -3613661?\n\"Answer: -225847*g**2 - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-1) + (1 - -1). Calculate the smallest common multiple of 20 and 8 - 0*f\/(-16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.15, -3\/14, 0.1, 4, 1.3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 2*k - 13 = -8*k, 0 = -3*v + 5*k - 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18440.\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35.5 + -35. Which is the third smallest value?  (a) -26  (b) -4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 5191 + 27*f + f**3 - 5166 - 36*f**2 + 9*f + 0*f**3. Let p be k(37). Round p to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -110.6 + 113. Let o = f - 2.4000248. What is o rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 9*r**2 + 15*r - 3. Let y(c) = -5*c**2 - 7*c + 1. Let q(n) = 11*y(n) + 6*z(n). Let a be q(12). Suppose a*v - 145 = -0*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 PM and 7:47 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p + 1. Let h be z(-1). Let c(t) = -4*t**3 + 5*t**2 + 13*t + 1. Let l(q) = q**3 - q**2 - 3*q. Let j(b) = -2*c(b) - 9*l(b). What is j(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33383025 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: Suppose 700 = 5*p + 240. What is the remainder when p is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.4 + 1. Let v = 5\/196 + 719\/2548. Let d = 830 + -829.9. What is the closest to v in -1, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11 + -261556?\nAnswer: -261567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 13001 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 k(b) = 4*b**3 - b. Let y(s) = 297*s**3 + 8*s - 2140. Let g(p) = -8*k(p) - y(p). Find the first derivative of g(q) wrt q.\nAnswer: -987*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.961+-41900473347\nAnswer: -41900473347.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13492988 rounded to four decimal places?\nAnswer: 0.1349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yee when three letters picked without replacement from {y: 9, e: 2, z: 6}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 4. Let b be 8\/34*p\/(-2). Suppose 3 = l + 7. Put b, l, -3\/2 in ascending order.\nAnswer: l, -3\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 258 and 148350.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2*o**3 - 14*o**2 - 21*o - 55. Let t be i(-6). What is the nearest to t in -147, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -49 and -2.5.\nAnswer: 122.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hii when three letters picked without replacement from hwhhhhiihwhhhhh.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2, -0.5, 1\/9, -1.784?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i**3 + 23*i**2 - 8*i - 8. Suppose 0 = 2*f - 3*x + 19, 14 + 21 = -3*f - 2*x. Is l(f) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 318\/9 + 4\/(-12). Let z = p - 23. Let b be (0 + -2)\/(-2) - -4. Solve i = b*i - z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -441 - -720. Let z = o - 181. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19 + 17 + 157*p**4 - p + 6*p + 2*p wrt p?\nAnswer: 1884*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000401746 rounded to 5 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 - 7*s + 20. Let w be (2 - (10 - 7))*11. Let p be y(w). Which is bigger: -101\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 234*h**3 - 113*h**3 - 119*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a**4\/3 + 146*a**3\/3 + 4864*a**2\/3 - 11552*a = 0. What is a?\nAnswer: -76, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 12  (c) 91\/5  (d) -2662\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 175, 371, 583, 811, 1055?\n\"Answer: 8*r**2 + 172*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2243322 + -4?\nAnswer: 2243313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 740 = -4*s - x, 0 = 6*s - 5*s + 5*x + 166. Let d = 185 + s. Suppose -3*c + 53 + 7 = 0. Sort c, -1\/7, d.\nAnswer: d, -1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3150364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89186*a**2 + 89186*a**2 + 64*a - 1209*a**3 - 34*a - 33*a.\nAnswer: -1209*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 5) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 400\/60*(-18)\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31163334?\nAnswer: 2, 3, 5193889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from adcd. Give prob of picking 1 c and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, -0.4, -0.232, 0.08, 0.05.\nAnswer: -0.4, -0.232, 0.05, 0.08, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -8 + 20 - 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/24))**13 assuming b is positive.\nAnswer: b**(13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*p - 2*p**2 + 3*p**2 + 0*p + p**2.\nAnswer: 2*p**2 - 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 89 = 52. Calculate the remainder when i is divided by (34\/51)\/((-2)\/(-51)*1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x = 5*x + 3730. Is x\/3*(-9)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -20, -66, -110, -152, -192, -230, -266?\n\"Answer: r**2 - 49*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25, 151, 737, 1937, 3955, 6995?\nAnswer: 11261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**2. Suppose -3*z + 0 = -3*h + 6, 4*h - 3*z = 9. Suppose h*s - 24 = -5*m + 6, 0 = -4*m. Let w(j) = -6*j + 11*j + j + s*j. Calculate k(w(y)).\nAnswer: -512*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.157567 rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 0.0516364.\nAnswer: 0.0516364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -71, -322, -819, -1628, -2815, -4446, -6587, -9304?\n\"Answer: -11*v**3 - 57*v**2 - 3*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 12*d - 11*d. Let q(c) = -2*c**2 + 7*c - 4. Let t(g) = g - 1. What is d*t(o) + q(o)?\nAnswer: -2*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 278*j**2 + 286*j**2 - 565*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 22 = 14. Let k be 6\/(-4) - (-18)\/a. Suppose k = 2*w - 0*w - 10. Solve -24 = -w*m + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d + 49*d = 287. What are the prime factors of d - 6 - -118 - 6?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwkkppppkpvkp. Give prob of sequence vw.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18600.2 + -18600. Suppose -3*k - 46 = k + 2*n, 65 = -5*k + 5*n. Let i be 19\/4 - 3\/k. Is i smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 - 4*x - 6. Let n be m(8). Suppose -3*l - 8 = -n. Suppose 0 = -l*u + 3*u + 12. Is u < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 - 28*q**2 + 60*q + 4. Suppose 5*j + 330 = -6*j. Let x be f(j). Solve x*l + 13 = k, -5*l + 5*k - 27 - 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 11*a**2 - 7*a + 4. Let d(c) = 15*c - 78. What is d(m(h))?\nAnswer: 165*h**2 - 105*h - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-58)\/7 - 32\/(-112). Let q(c) = -8 + 722*c - 348*c - 373*c. Calculate q(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -274 - -575?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 54 + -34. Let w = q - 19. Put w, -2\/9, 8 in decreasing order.\nAnswer: 8, w, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-10)\/(-8) + 3)*4. Suppose -5*t - 3*f - 2*f = -25, -5*f + a = 4*t. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 0.09, 3\/5, -0.79?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 4 - 2 - 46*f**2 + 77*f**2 + 5 - 2.\nAnswer: 31*f**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (31347\/(-258))\/243*(-104)\/6?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h**2 + 4*h**2 + 2*h**2)*(2 + 1 + 1) - h**2 + 2*h**2 + 3*h**2.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of -2*q**7\/105 - 7*q**6\/30 - 13*q**5\/15 + q**4\/2 + 12*q**3 + 179*q**2 + 2*q. Suppose n(g) = 0. Calculate g.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.04  (b) -0.3  (c) -0.4  (d) 40\/13  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/33 at most 13689\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 15. Suppose -2*v + 14 = f*j, -3 - 1 = -2*j. Suppose 0 = 3*k + v*k - 630. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -76\/47 + -2404\/141. Calculate the common denominator of 93\/64 and j.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41 - -59 - (16 - 0) - (3 - 23 - -9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 4\/11  (b) 12  (c) -1\/14  (d) 0.5  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 - -20. Put -4, 2, o in ascending order.\nAnswer: -4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**2\/p**(2\/9))\/((p*p*p*p**(-2))\/p*p*(p**(-3\/2)\/p)\/p*p) assuming p is positive.\nAnswer: p**(59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7487.028 nanograms in kilograms?\nAnswer: 0.000000007487028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 7\/5 + ((-13)\/75)\/(102\/(-255))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*n**3 + 1 - n**4 - 8*n**2 - n + 3*n**3 - 1 - 2 to the form j*n + u + y*n**3 + g*n**2 + q*n**4 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together 17.372 and -26319.\nAnswer: -26301.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -198 + -1?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.091 in -5, 16, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 5*w - 27 + 135 = 0, -4*w = 3*x - 81. Let g = -89 - -113. Calculate the smallest common multiple of g and x.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -3*p - 5*h, 5*h = 3*p - 0*h - 30. Suppose 6*l = 9*l - p. Sort l, 3, -4 in decreasing order.\nAnswer: l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 133, 159, 141, 79, -27, -177?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*l**5 - 4*l**5 - 19*l**5 + (2*l - l**4 - 2*l)*(3*l + l - 3*l).\nAnswer: -31*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/48)\/(-3*5\/(-90)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -268*y**3 + 131*y**3 + 39*y**3 + 216 + 46*y**3 + 49*y**3.\nAnswer: -3*y**3 + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 2*y - 11261, -35 = -3*y - 44. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 165*d + 952. Does 3 divide q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, l: 1, n: 1}. What is prob of sequence sl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16782.783 + 5.156.\nAnswer: 16787.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g**2 + 77*g + 514. Let a be z(-30). Solve -a*f + 93 = -4*x + 101, 4*x = 5*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 191 + -128. Let z = p + -63. Which is smaller: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*4\/12*-39.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 153 + 0*i**3 + i**3 + 2*i - 152 - i**2 + 2*i**2. Determine u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 36*s - 106*s - 50*s as x + m*s and give m.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 272.07873 seconds to hours.\nAnswer: 0.075577425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4 and -0.21877911347.\nAnswer: -4.21877911347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lbbnnlenlblle. What is prob of sequence elen?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -8.3745?\nAnswer: -16.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 172 + -51?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1121 + 22020121?\nAnswer: 22022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 687, -1\/6, 3 in decreasing order.\nAnswer: 687, 3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7994521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 16) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 57, 10, 7.\nAnswer: 7, 10, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 934408732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99452 - 32177 = 25*p. Suppose 15*s = 4509 + p. Does 38 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -549*o*t**2 - 45*o - 144122*t**2 wrt o.\nAnswer: -549*t**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 9690.10227 to the nearest 10.\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 6293857251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 99 - 97.42. What is j rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*b**4 - 35275*b**3 + 7090*b**2 + 8472*b = 0.\nAnswer: -1412\/5, -2\/5, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 44 = 7*j. Let h = j - -9. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.03, -0.1, -2\/19, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 81 times 418?\nAnswer: 33858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 2*c - 1477 = -254, i + c = 416. Let p = 486 - i. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24435 divided by -15\nAnswer: -1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 13, -38, -4 in ascending order.\nAnswer: -38, -4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 1803*i - 4116 + 4116 - i + 0*i + 4*i + (-3 + 2*i + 3)*(2 - 2 - 2) in the form d*i + n and give d.\nAnswer: 1802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -5*p - 3*l, -3*p + 5*l - 2 = 10*l. Let h be (-16 + p + 7)\/(-1). Solve 4*u + 5 = h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9 + -5 + 1 + -5. Let q(m) be the first derivative of -m**4\/4 + m**3\/3 - m**2\/2 - 15*m + 10. Let a be q(n). Is -14 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**2. Let u(n) be the third derivative of -n**4\/4 - 27*n**2. Calculate y(u(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -234*y**3 - 4*y**2 - 4*y - 3. Suppose 6 + 6 = -6*h. Is k(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 3*t - k, 4*t = -285*k + 288*k - 15 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-2)*(162\/20 - 8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (7\/(-21))\/(33\/(-36) + 1). Put 2, -2, x in descending order.\nAnswer: 2, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -634 (base 7) to base 8.\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in seventy-three fifths of a millennium?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.133 and -0.5?\nAnswer: 0.0665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 364604313 and 2181?\nAnswer: 2181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13745740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 11:00 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 4*z = 9. Let b be (-1 + 2 - -11)*(-15)\/(-20). Is z at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 573 or -208?\nAnswer: 573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 + 490*s**2 - 320*s - 632485. Give p(-488).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 163.8606 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000739817269 rounded to six decimal places?\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - 0*m + 2*m + 8, -m + 11 = 4*b. Let x be (b\/5)\/((-6)\/(-4)). What is the biggest value in x, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20232031330220 - -11?\nAnswer: -20232031330203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47 + -21. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -177 + -148. Let j = 1155 + t. Round j to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16587, -20760, -24933, -29106, -33279, -37452?\nAnswer: -41625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -30*h - 4. Does 14 divide t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a47 + 1c1?\nAnswer: c38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 - 6*x + 8. Let h be b(0). Calculate the highest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -137 + 34*n**2 + 270 - 38*n**2 - 4*n - 41*n**3 - 135 - n as i*n**3 + y*n**2 + u*n + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -r**4 + 2226*r**3 + r**2 - 5019*r.\nAnswer: -12*r**2 + 13356*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-8)\/12)\/(16\/6). Let z be (-20)\/(-45)*(-3)\/(-26). Let w = z - 88\/195. Which is the closest to -3?  (a) w  (b) -4\/7  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a century in months?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 791 in increasing order.\nAnswer: -2, 2, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -2 - ((4 - 3) + -51)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 + 9*o**2 + o - 2. Let p be u(9). What is the nearest to 0 in p, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -88 - -90. Let g be ((-1)\/w)\/(-1 - (-45)\/50). What is the nearest to 0 in -2, 3\/2, g?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 1113448093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z\/(z*z*(z*z**(-6))\/z)))\/z**(2\/15))**12)**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 11, u: 1, m: 6, k: 1}. What is prob of sequence km?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in -0.4, -2, 2\/11, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 278 - 263 - (-19 + 13 + 31 + -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = 114\/35153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -481 - -58. Are -422 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/15 - (-27)\/45. Is 2\/343 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 + 3 + 2 + -1. What is the first derivative of -3*h**3 + 3*h**3 + 0*h**t - h**4 - 1 wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*(1 - -2*3). Let z = -5 + t. Solve -5 = -z*x + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*d - 2*d + d + d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-1))**48*(m**(-1))**(-1\/14) assuming m is positive.\nAnswer: m**(1345\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -4*o**2 + 14*o - 5. Let u(y) = 2*y**2 - 7*y + 2. Determine -3*d(i) - 7*u(i).\nAnswer: -2*i**2 + 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001081848 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1164 + 1164 + f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/42*9\/36)\/(2620\/(-1834))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 211 = 5*i, -3*b + 191 = 5*i - 2*b. Suppose f - z = i, -4*z - 73 - 13 = -2*f. Let x = f - 18. Calculate the remainder when x is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4502, 4480, 4462, 4448?\n\"Answer: 2*n**2 - 28*n + 4528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -77 - -77.2. Put -2, -0.3, w, -5 in ascending order.\nAnswer: -5, -2, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000668 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.2  (b) -2\/555  (c) -3  (d) 4  (e) -19\/14  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-12)\/(-50))\/(8\/(-10)) and (-2)\/(224\/(-808)) + 1\/2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.06 - 0. Let t be (-8)\/(8 - (-78)\/(-9)). Let y be ((-68)\/(-18) - t\/(-54))\/14. What is the nearest to y in -3, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1157 + 1125 + (20 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 2*t**4\/5 + 763469*t**3\/10 - 419929*t**2\/2 - 7157634*t\/5 - 343566 = 0.\nAnswer: -190870, -3, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 0*s**2 - 4*s + 3*s + 2*s**2 - 1. Let n(m) = -m**2 - 4*m - 1. Let j be n(-3). What are the prime factors of a(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 238 divided by 109820.\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 484 + -430. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 AM and 7:49 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -b**3\/2 - 3*b**2 - 9*b\/2 - 2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sk when two letters picked without replacement from mjxsxjkxxk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 3:21 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -245 divided by -7\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1780\/50 - 6\/10. Calculate the highest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 + 9*s + 10. Let j be i(10). Suppose 2 = 2*r - j. What is the greatest common factor of 7 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n**2\/5 + 3588*n\/5 - 321584\/5 = 0 for n.\nAnswer: 101, 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -3 + (0 - 4 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-15) + (-112)\/(-5). Suppose -c + 25 - y = 0. Determine u, given that 2\/3*u**c + 0*u**2 + 0 - 2\/3*u**5 + 0*u**4 + 0*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 12*z - 7. What is the tens digit of r(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(22) - sqrt(44)\/sqrt(2)*-1 - sqrt(22)) + (sqrt(22) - (sqrt(1782) - -1*sqrt(1782)))))\/(sqrt(50)*-1*4*-5).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q. Let x(s) = 140*s**2 + 6*s. Let g(p) = -142*p**2 - 8*p. Let r(j) = 3*g(j) + 4*x(j). What is r(t(k))?\nAnswer: 134*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -13119.63632 to the nearest 100.\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, 82, -4 in ascending order.\nAnswer: -4, 2, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1481 is divided by 292?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 15 = -i, -2*i - 5960 = r - 5989 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 44602\/433 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 80\/(-48) + 7\/(-3) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10891, 21781, 32671, 43561, 54451?\nAnswer: 65341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 31*a**2 - a + 5. Is u(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + ((-1330)\/(-1400))\/(2\/(-24))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w**2 - 33*w - 68. Let o be r(-14). Solve 2*z = o*a, 3*z + 4*a - 14 = -0*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6.97 = -0.3521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (20 + -15) - 26 - -83\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**2 - i + i)*(-9 + 2 - 3 + (2 + 3 - 4)*(4 - 6 + 1)).\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s + 0 - 16103*s**2 + 8190*s**2 + 0 + 8251*s**2.\nAnswer: 338*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 - d**2 - d + 12. Let j be 3\/12 + 6\/(-24). Determine c(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 1\/483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12169, 12252, 12429, 12730, 13185, 13824, 14677?\nAnswer: 15774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 10, 9, 1 in increasing order.\nAnswer: -3, -1, 1, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cocqccocqq. Give prob of sequence oc.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09 minus 7.797346137564?\nAnswer: -7.707346137564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 16022930 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.45015 + 295.45155. Let q = k - 294. Round q to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.5 - -1.8. What is the third smallest value in -1\/5, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/62 >= -241377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -92 in 0.5, -7, 4\/9, -4, -4\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7964 and 764.\nAnswer: 1521124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 928 + -2716\/3. Find the common denominator of -25\/21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10269819 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/1537 + 1541\/3074. Which is the nearest to -6?  (a) p  (b) 3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/21748 and 115\/27144.\nAnswer: 147581928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b - 2. Let m(f) = -f - 2. Let g(c) = 5*a(c) - 6*m(c). Let x(l) = l**2 - l - 1. Determine -g(q) - x(q).\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 17.38  (b) -2\/11  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.052217269 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -8, 3, -3, -0.2 in ascending order.\nAnswer: -8, -3, -0.2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-72)\/20 + 6)\/((-55)\/25). Let l(q) = q**3 + 5*q**2 + 4*q - 1. Let x be l(-4). Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16d94d (base 16) to base 9\nAnswer: 2732061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -1703*m + 17078. Calculate t(10).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of 1\/3*i**3 + 0*i**2 + 10 - 2*i. Let k(h) = h**2 + 150*h. Calculate k(w(m)).\nAnswer: 4*m**2 + 300*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2. Let w(s) = -1 - 32 + 2*s - 25 + 17. Give z(w(g)).\nAnswer: 4*g**2 - 164*g + 1681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + 10*w + 18. Determine s(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 5*w - 58 = -354, 403 = 4*i + 5*w. Solve -28*j - i = 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 217*g**3 - 40*g**2 - 21*g**2 + 69*g**2.\nAnswer: 217*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(-1)*y)\/y)**(1\/14))**(-35) assuming y is positive.\nAnswer: y**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -5681.\nAnswer: 3\/5681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1875 is divided by 937.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 4*f - 4*f + 0*f + 2*f**2. Let k(n) = 2*n**2. Give v(k(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 32 - 18 = -2*l, -3*c + 12*l = -21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 51.25482 litres?\nAnswer: 51254.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 19 = -20 + 15 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -166, -154, -126, -70, 26, 174, 386, 674?\n\"Answer: 2*n**3 - 4*n**2 + 10*n - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19080629.00000044 - 19080611. Let f = h + -18. Round f to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/156 and -77\/18616.\nAnswer: 55848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 72 = 3*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 217386 - 443*g - 217386.\nAnswer: -443*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*7\/(-1302))\/((60\/(-100))\/(90\/(-25)))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/(-30) - 0)*25\/(-20)*-1. Let d be (-3)\/36 + 2\/6. Which is the closest to n?  (a) 0  (b) -1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 34*a**2 - 23*a - 26. What is f(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -5*l + 20, -86360*c = -86365*c + 4*l + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, 4, 0, 5, -5 in descending order.\nAnswer: 5, 4, 0, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/387, 0, 2\/13, -3\/44, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -19*b + 68. Give a(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -6*y - 14. Let u be a(-3). Suppose -4*w + 667 = 3*s, s - 2*s + u*w + 201 = 0. Calculate the greatest common factor of 31 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.0512, -11, 0, -1\/4 in ascending order.\nAnswer: -11, -1\/4, -0.0512, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-2\/17)\/(((n**(2\/41)\/n)\/n)\/n)*((n**(-10\/9)*n*n)\/n)\/n*n**6 assuming n is positive.\nAnswer: n**(48443\/6273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 946884, 946894, 946904, 946914, 946924, 946934?\nAnswer: 946944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, z: 1, p: 1, y: 1, k: 1}. Give prob of picking 1 p and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 64.2 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*m + 18*m = 315 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - r + 46 = -2*r, -3*r = 5*m - 254. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/(-9))\/((-2)\/444). Calculate the remainder when 12 is divided by a\/(-20) - (-2)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {i: 4, x: 5, h: 10}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/165 and 13\/83925.\nAnswer: 923175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 125 and 11174886?\nAnswer: 1396860750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*k + 3*l - 2*l + 8, 7 = -k - 2*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -26*p**2 + p. Let d(q) = 109*q**2 - 3*q. Give -9*b(w) - 2*d(w).\nAnswer: 16*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 249 by -6974.\nAnswer: -249\/6974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11.6 or 1740\/17?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 5*x + 6 = 21, -i + 2*x + 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3340217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 214\/80 - -7*(-900)\/3360?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21011503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17.99999916 + -18. Round t to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 16, 169, 576, 1363, 2656, 4581, 7264, 10831?\n\"Answer: 21*w**3 + w**2 + 3*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14119 + 17712789.\nAnswer: 17726908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(54)\/(sqrt(45)\/sqrt(5)))\/(sqrt(128) + 1*sqrt(128) + sqrt(2)) - ((-2*sqrt(72))\/sqrt(3))\/(sqrt(8) - sqrt(200)*-1))**2.\nAnswer: 400\/867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8692961557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4*n - 3*a = 0, 0 = -3*a + 3. Suppose 623 - 1855 = -4*b - 2*s, s + 924 = n*b. List the prime factors of b.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 18*p - 254. Determine i(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*8\/40*2\/(-4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -316*g**4 - 83*g**2?\nAnswer: -7584*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/40)\/((-15)\/120)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/((-28)\/8 + 2 - -3). Is 406\/4*(a - 2)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1352611*n**4 - 17975*n**2.\nAnswer: 32462664*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-690)\/(-6)*(-24)\/(-80)*-2?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3126 + -3130. Which is the second biggest value?  (a) -5  (b) k  (c) 1\/7  (d) 230\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bmm when three letters picked without replacement from mumbbupmbtbmbbbu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -35 + -35. Let y = j + 68. Let l be -1 - (-2)\/10*-1. Is l <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 293 and 16701?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 726949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3\/5 + 1552*p**2\/5 + 121361*p + 3585174\/5.\nAnswer: (p + 6)*(p + 773)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1101599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 506372 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -195821 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, d: 8}. What is prob of sequence ddnn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 23\/7 + (-8)\/28. Let b be (42\/4)\/(z\/12). Suppose 16*j = 19*j - b. What is the remainder when 54 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 63, 74, 107, 174, 287, 458, 699, 1022?\nAnswer: 1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 8*x - 3*g, 19*x - 2*g + 25 = 18*x - 22 + 54 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2 - 16957*j - 1568352.\nAnswer: -(j + 93)*(j + 16864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1196 and 1456?\nAnswer: 33488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(208)*-1)\/(sqrt(4) + sqrt(484) + (sqrt(484) + sqrt(484) + sqrt(484)*1 - sqrt(484))))**2.\nAnswer: 13\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 750 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -10, 1\/4, -1.3, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.103826 - 5.141074. Round u to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 41*t**2 + 7*t + 7. Let j(d) = 27*d**2 + 5*d + 5. What is 7*j(u) - 5*y(u)?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 181058237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of 43*v**2\/2 - 2*v + 2. Let b be 36\/(-162)*18\/(-4). What is the units digit of k(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(6\/11))**(-7))**(-31) assuming h is positive.\nAnswer: h**(1302\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -217 + 5?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of 4*v**3\/3 - 6. Let b(i) = 2*i. Calculate p(b(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.04  (b) 4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1774, 3710, 5646, 7582, 9518, 11454?\nAnswer: 13390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 12 + 5038*f**2 - 37152*f**2.\nAnswer: -32114*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33 and 1936.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*d**2*g*r**2 - 6*d**2 - 12*d*g**2*r**2 + 9*d*g**2 wrt r?\nAnswer: 6*d**2*g*r - 24*d*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2090.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 3 - 3 - w. Let k(n) be the third derivative of 7*n**2 - 1\/24*n**4 + 0*n + 0 + 0*n**3. Determine t(k(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f + 1 + 3 - 5 + (-5*f + 0*f - 3*f)*(-2 + 1 + 6).\nAnswer: -38*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/(-6))\/((-1)\/10). Suppose 114 = 2*b + 16. Suppose -m - 9 = -b. Calculate the highest common factor of m and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 151*a**2 - 54*a + 4. Let v(z) = 604*z**2 - 218*z + 18. Determine -9*p(t) + 2*v(t).\nAnswer: -151*t**2 + 50*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 AM and 12:00 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v + 12. Let p be z(9). Suppose -196 = p*n - 280. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-97 + 97 + m)*(0 - 2*m**4 + 0).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2500*l - 37223. Calculate k(15).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of m**6\/24 - 5*m**4\/24 - 2*m**3\/3 - 20*m**2. Let u(t) = -4*t**3 + 4*t + 3. Calculate 5*q(x) + 6*u(x).\nAnswer: x**3 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 155 - 52079\/336. Let l(t) be the third derivative of 0*t - 1\/24*t**6 + 0*t**3 + 0*t**4 - 1\/30*t**5 + 0 - 2\/105*t**7 - s*t**8 - 6*t**2. Factor l(d).\nAnswer: -d**2*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -23*w**2 - 64*w + 16. Let v be x(-3). Which is the smallest value?  (a) v  (b) 0.028  (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*s - 0. Let q be 8\/(-10)*300\/8. Let z = s - q. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 - 1. Let c be r(1). Which is bigger: c or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of 6*u**7\/7 - 14*u**3\/3 + 39. What is the third derivative of h(x) wrt x?\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 889, 1779, 2669?\nAnswer: 3559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 393 (base 10) to base 14\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63355915 divided by 42895.\nAnswer: -1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2122300102 (base 4) to base 10\nAnswer: 633874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/7, -0.33, -23\/19395?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -2. Let s(l) = l - 10. Let m be s(0). Let a be (p\/(-18))\/((-5)\/m). Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 5*h = 12, 0 = -5*x + 3*h + 2*h - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (((-78)\/90)\/(-13))\/(17\/(-102))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110001 + -11?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 39270 and 292740.\nAnswer: 3220140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 + (-8)\/(-1) - (-210)\/585*-15. What is the fourth smallest value in 0.5, -1\/6, 7\/5, x?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 7*r + 20 = 0. Suppose 0 = -4*y + z + 223, -2*y - r*z + 2*z = -115. Calculate the greatest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-9)*j**19 assuming j is positive.\nAnswer: j**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1314847411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dodu when four letters picked without replacement from {l: 3, o: 1, f: 2, d: 3, u: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 237 divide 5287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 625 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 79657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2528*m**2 + 2329*m**2 - 1870*m**2 - 2141*m**2 - 1906*m**2 to the form x*m**2 + q + i*m and give x.\nAnswer: -6116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + -3. Let n(k) = -2*k**3 - 3*k**2 + 1. Let g be n(-2). What is the third biggest value in d, g, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 3\/2  (b) 0.37  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 - 0.3. Let c = 2 + -4. Let x = -530\/7 - -76. What is the closest to -1 in x, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + l. Suppose l*i - 4 = -2*i. Let t = i - -3. Solve 8 = t*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 2*h - 90, -2*h + 53 = 3*v - 5. What is the greatest common divisor of v and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200*t**2\/7 + 120*t\/7 - 18\/7 = 0. Calculate t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*x**2 + 9*x**2 - 5*x**2)*(3*x + x**3 - 3*x)*(-3 + 2 - 2).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7415 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: How many minutes are there between 9:42 PM and 6:27 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of -o**5\/420 + o**4\/84 - o**3\/42 - 3*o**2. Factor t(z).\nAnswer: -(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -4*c**3 - 44430144*c**2 - 123377355991296*c = 0.\nAnswer: -5553768, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of g**4\/4 - 7*g**3\/3 + 13*g + 6392. Determine i(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**3 - 2*s + 2*s - 3 + 3 + 3*s**3 + (4*s**2 - 3*s**2 + 0*s**2)*(s + 0*s + 0*s) + (-836 + 836 - 81*s)*(0*s**2 + 3*s**2 - s**2).\nAnswer: -157*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 52964 and 5.7.\nAnswer: 301894.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnnnnnnxnn. Give prob of picking 2 n.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 328*j - 497579 = 108237. What is the remainder when 3703 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 + 91342*l - 547974. Give h(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 47 = -4*k + 17, -4*k - 31 = -b. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.046589 - 0.18.\nAnswer: -0.226589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = s, -p - s = 2*s - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 341 divide 77075909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(66) - sqrt(66))*6 + ((sqrt(66) + sqrt(66)*-2)*-5 - sqrt(66)))\/((sqrt(96) + sqrt(96)*1 - sqrt(96))*4).\nAnswer: -7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1012 + 388 = 10*u + 540. Solve -d - 3*y + 1 = 0, -88*y = -d - u*y + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -12*s**2 - 2. Let g(m) be the second derivative of -11*m**4\/12 - 3*m**2\/2 - 13*m. Let b(j) = -6*g(j) + 7*t(j). What is the derivative of b(r) wrt r?\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/6354 and 133\/18.\nAnswer: 6354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(3888) + (-2*(0 + sqrt(3888)))**2) - (-1*-1*sqrt(3888) + (sqrt(3888)*-1 + -3)**2)) + -3.\nAnswer: -50556 - 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1553, -1467, -1385, -1307, -1233, -1163, -1097?\n\"Answer: -2*y**2 + 92*y - 1643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 112 + -107. Suppose 4*y + o*y + 36 = 0. Let l = -0.03 + 4.03. Sort l, y, 1\/8 in increasing order.\nAnswer: y, 1\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2461 a factor of 233598128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - 63*p**2 + 3845*p + 65. Give r(-101).\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -79 + 769?\nAnswer: 6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*y**3 + 2*y**3 + 4*y**3 + (-20*y - 37*y + 5*y)*(-3*y**2 + 4*y**2 + y**2) to v*y + x*y**3 + m*y**2 + i and give x.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107*a + 553 = 114*a. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 85*u**2 + 7*u - 41. Let a be g(8). Suppose 4*l + 3*m - a = 0, 5*l + 0*m + 5*m - 6825 = 0. List the prime factors of l.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (28\/(-42))\/((-4)\/(-114)). Let o = l - -40. Solve o = 5*g - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 546.95ml?\nAnswer: 0.54695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 259.389ng?\nAnswer: 0.000259389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n + 14. Let x(k) = -20*k - 167. Calculate 13*q(o) + x(o).\nAnswer: -46*o + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 22*f**4 - 9*f**3 - 25*f**2 + 12*f = 0.\nAnswer: -12\/11, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 4*b**2 - 22*b - 1. Determine v(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -204, -218, -222, -210, -176?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - (-1079)\/(-65))*(-5)\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2634 - 869 - 877 - 5*c - 880. Calculate o(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -0*d + 25. Suppose 3*n - 1010 = d*r, -r - 4*r = -2*n + 675. Is n a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, l: 1, g: 5, d: 1, v: 1}. Give prob of picking 3 g.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 27*o + 18731. Let h(q) = 5*q + 3747. What is -11*h(p) + 2*t(p)?\nAnswer: -p - 3755","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32805 is divided by 515?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/798 and -31\/336?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:02 PM and 5:05 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*g - 68*g - 26*g - 1576 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -15 + 7, -v = -3*h + 11651. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3868 + 3*g - 5*g + 5*g - 18773.\nAnswer: 3*g - 14905","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/((-1)\/2))\/((-3)\/(-18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/3, 10, -2, -0.1, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 135*a - 135*a - 8*a**2 - 2*a**3 + 1 to the form d*a**3 + v*a**2 + g + h*a and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - -4. What is the tens digit of ((188 - 11) + 6)*v\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 65 and 247897.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-125)\/(-50) + (-5)\/(-2). Suppose 3*i = u*b + 5*i + 13, -19 = -b + 5*i. What is the third biggest value in b, 3, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 377195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (33\/44)\/(2\/8). Suppose -j*d = 163 - 985. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*3\/18*0. Let b = 2\/5 + -19\/35. Which is smaller: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9940548?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 56917247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7330 and 305661.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99232.\nAnswer: 2, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 87, 525, 1699, 3969, 7695, 13237, 20955, 31209?\n\"Answer: 60*k**3 + 8*k**2 - 6*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -5*g - 15, -4*g = -4*i + 5*i - 9. Suppose -5*r = -j + 19, j + i*r + 8 = -3. Sort 5, j, 1\/5 in descending order.\nAnswer: 5, j, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/165)\/((-2)\/12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of d**5\/5 - 5*d**4\/3 + 16*d**3\/3 - 8*d**2 - 20*d. Solve l(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/11 + 1850378*h\/11 - 85121620\/11.\nAnswer: 2*(h - 46)*(h + 925235)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 21*d**3 - 397*d - 2439*d**2 + 6 + 22*d**3 + 397*d in the form t*d + o + f*d**3 + l*d**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 7:32 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15*(-6)\/(-24))\/(430\/(-86)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3976 + 26446. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17584068 to the nearest integer?\nAnswer: 4193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05098 - -0.4?\nAnswer: 0.45098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1273867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7.2 + -1.8. Let t = n - 5. Let s = 124 - 124.2. What is the nearest to s in -2, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -l + 16*l**4 + 112 + 2*l**3 + 2*l**4 - 4*l**4 - 13*l**4 as y*l**2 + w + u*l**3 + k*l + x*l**4 and give w.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 n when three letters picked without replacement from cyncctyhccyynnncc?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1220 - -1034132013?\nAnswer: 1034130243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.54  (b) -8\/21  (c) -2\/19  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -4*a + 2. Let i(f) = -f + 1. Let b(l) = l**3 + 24*l**2 - 25*l + 1. Let k be b(-25). What is k*v(p) - 2*i(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-6)*(-3)\/(-4)*448\/14560*-234?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 7*f. Suppose 25200 = -4*g - f*g. Round g to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1981 + 1985. Let k(v) = v + 9. Let y be k(-7). Suppose l*a + 10*j - 192 = 9*j, 55 = a + y*j. List the prime factors of a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000182424 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4719 + 1299 = 27664*p - 27546*p for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {q: 1, u: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 11*o**2 - 6*o + 17. Let h = 6 + 18. Suppose -2*g - h = -4*g. Suppose b - g = -b. Let f(i) = 2*i**2 - i + 3. What is b*q(t) - 34*f(t)?\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -5*d - 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4196016 divided by -29139\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h - 2*h - 18. Let y(n) = -n**2 - 3*n - 4*n + n + 13 - 2*n. Let i be y(h). Put i, -1, 1\/12 in increasing order.\nAnswer: -1, 1\/12, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9301 and 4129005.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 18*b**3 - 28*b**2 - 335*b - 74. Let c be v(-22). What is c rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35686 is divided by 166.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 0.4, -10, 91, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3863*l - 4759*l - 56925 = -9447*l for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 65 + -89. Let v = 20 + a. Is v > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 44142 - 2300421?\nAnswer: -2201224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2451 - 2450.9. Let x = 4 + -1. Suppose -b = -x*b. What is the nearest to i in -0.1, -0.01, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -176.4 - -176. Which is the nearest to 2\/11?  (a) i  (b) -92  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + g - 3 - 11 = 0, -3*g + 2 = -o. Let j(k) be the second derivative of k**4\/12 + k**3\/2 - 5*k**2\/2 - 2*k. Determine j(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -4398 and -4399 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from bbrbrrbbbb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 178*w + 183*w = 27, j + 54*w = 166 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*1 - (-7 + 8 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -71006 (base 8) to base 3\nAnswer: -1111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 68, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**4\/8 - 3*g**3\/8 - 3*g**2\/4 + g.\nAnswer: g*(g - 4)*(g - 1)*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17705 is divided by 61?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (0 - 5) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(2\/13)*s**10*(s*s**(2\/7))**(-27) assuming s is positive.\nAnswer: s**(-2235\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -489*h**3 + 740348*h**2 + 14240075*h - 58254 = 0. What is h?\nAnswer: -19, 2\/489, 1533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 382 - -3?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of 0*q**3 + 6*q**2 - 1\/280*q**8 + 1\/150*q**6 + 0*q**5 + 0*q**4 + 0*q + 0 - 1\/105*q**7. Let u(j) = 0. Calculate j.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.7000183 - -2.7. Round b to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32 + 10422401320?\nAnswer: 10422401233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 70652 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -6*p + 3*p - 9, -4*o - p + 11 = 0. Let t(b) = -o*b**2 + 2*b**2 + 2 - 7*b + 0. What is the least common multiple of 10 and t(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2159269 + 1059269. Round o to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 0 + 3*p + 0*p - 6 - 7. Let z(k) = 4*k - 24. Let f(g) = 7*s(g) - 4*z(g). Let a be 44\/(-16) - 1\/4. Let d(l) = -11*l - 11. Give a*d(o) - 7*f(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h**4 + 4*h**4 - 3*h**4 + (3*h + 3 - 3)*(-3 + 2*h + 3)*(0*h + 2*h**2 + 0*h).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1492 + 461029\/309. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, 1641, -37, -2, -52 in descending order.\nAnswer: 1641, 5, -2, -4, -37, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, x: 3, g: 4}. What is prob of picking 3 g and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of -j**8\/560 + j**6\/24 + 5*j**3\/6 + 12*j**2. Let z(m) be the first derivative of c(m). Find the third derivative of z(x) wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1037650882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2086 - 0.1086. Put l, -2.4, 4\/7 in ascending order.\nAnswer: -2.4, l, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 + 0*r + r - 32.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 186804749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(3\/(-2))*((-268)\/132)\/67?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = q - 8. Let o = q + -7. Calculate the highest common divisor of o and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 9*c + 45. Calculate the remainder when 3615 is divided by g(-11).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14003 + 1868. What are the prime factors of c?\nAnswer: 59, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1285 and 20647.31852.\nAnswer: 21932.31852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-2 - 0) + (-909)\/72 + 13\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1306673029?\nAnswer: 1306673029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 55*b**2 - 3*b + 66. Let c(o) = 43571 + 0*o - 43571 - o. Let j(m) = -4*c(m) + p(m). Differentiate j(s) wrt s.\nAnswer: 110*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/2*-3 - (20 + -28). Let x be (-2)\/3 - (-2)\/3. Suppose 82 - 574 = -2*l - 4*w, l - n*w - 246 = x. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/7448 and -3\/188.\nAnswer: 350056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 3, 1, -1\/4, -3 in descending order.\nAnswer: 3, 1, 2\/5, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1\/6, -6, -5, -277.\nAnswer: -277, -6, -5, -2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pjnppnnppjppj. Give prob of picking 1 p and 2 n.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from piippp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - -1)\/(9\/168). Let z = y + 81. What are the prime factors of z?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((c\/c**7)\/c*c)\/c*c)\/((c*c**(-2\/27)\/c)\/c))\/((c**(-1\/4)*c)\/c*c)**0)**(-46))**(-45) assuming c is positive.\nAnswer: c**(-30590\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*c - 9. Let z = -2 + 2. Let k be (-2)\/((z + -2)\/2). Are k and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2.6 != -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 183 a factor of 107096358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -29, -34, -43, -56, -73?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 8588320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u + 17. Let q be x(14). Let f = 28 - q. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15) - sqrt(105)\/(sqrt(21)\/sqrt(3)))\/sqrt(192).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 81925 = 21*t + 12*t. Is 25 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from lsssliiisplsslsnnss.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 611*n**4 + 3945*n - 3944*n + 501*n**4 + 2334 - 606 wrt n?\nAnswer: 4448*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 16*l**2 - 4*l - 3. Let y be q(-3). Let s(k) = -k**3 - 33*k**2 - 16*k + 529. Let u be s(-32). What is the highest common divisor of y and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 - 212. Let s = a + 198.139. What is s rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -3*n + 1. Let m be d(-3). Let s = -6 + m. Let w = 17 - 14. Solve s*t + w = -5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/1962 and -67\/9810.\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -261*n**3*u**3 - 96848*n**3 + 2*n**2*u**3 + 37*n**2 - 8*n*u**3 - n*u - u - 616 wrt n?\nAnswer: -1566*u**3 - 581088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 2 + 6. Let w = 274 + -398. Let c = 129 + w. Solve 4*z + c*d - 30 = 0, -m*z = -0*z - 4*d - 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 18968, 18915, 18866, 18827, 18804, 18803, 18830, 18891?\n\"Answer: d**3 - 4*d**2 - 48*d + 19019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + 15*m**2 + 5*m + 61. Determine n(-15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17080, 22356, 27632, 32908, 38184, 43460?\nAnswer: 48736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 23877481 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -13*p - 59 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z + 4. Let i be r(0). Suppose -i*o = -0*o - 32. Suppose 0 = -4*q + 6 + 2. Solve -5*s + o = -q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 54612540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**5 + 205999*i**4 + 1030017*i**3 + 618021*i**2 - 1854036*i = 0. Calculate i.\nAnswer: -3, 0, 1, 206004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -277.5 + 277. Let u = 1360\/9 - 151. What is the nearest to 0 in -0.9, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/16 and 63\/116.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/922139 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 73622547 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 145 and 28797?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -32*b**3 + 203*b**2 + 596*b - 32. Calculate x(-3).\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -428*j**5 + 73*j - 3 wrt j.\nAnswer: -8560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 39725.9\nAnswer: 79451.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 953*q**2 - 473*q**2 - 402*q**3 - 12*q**3 - 480*q**2.\nAnswer: -414*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 - 11*c + 22. Let z = -480 + 490. Determine v(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6868025.\nAnswer: 5, 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9006973261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 bigger than -387375748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 679437572 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 98.07847 years in decades?\nAnswer: 9.807847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 305881378\/3 smaller than 101960460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -5, -0.5, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -187 - -229. Calculate the remainder when 558 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105319111?\nAnswer: 105319111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*f + 41 = 51 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 95 - 49 = 0. Let b = 432 - r. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 2. Let p be 2\/((1\/(-14))\/w). What is the remainder when p\/(-35) + 543\/15 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*i + 25888 - 25786 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - o + 4 = 5*l, -2*o + 2*l = -8. Suppose 10 + 17 = 3*k. Let q = k - o. Solve -5*i + u = 23, -q*i - 20 = -4*u - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2\/3, -5.68 in ascending order.\nAnswer: -5.68, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, q: 2, m: 2, e: 1, y: 1}. Give prob of sequence emw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 371 - 326. What is the lowest common multiple of 20 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 160477 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 4*i**2 + 10*i + 13. What is the remainder when g(-7) is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -107  (b) 58  (c) -3  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 487081461?\nAnswer: 3, 557, 291491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.3 + -1. Let x = 139 + -137. Let j = 0.5 - 5.5. What is the closest to -2\/7 in t, x, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 525 and 16065?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = -945\/1060816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -3 - i**3 - 17\/2*i**2 + 0*i. Let h(z) = z**2 + 6*z. Let q(p) = -17*h(p) - 6*r(p). Let j(v) = v. What is j(q(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -23484, 5 in ascending order.\nAnswer: -23484, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.58355326 rounded to 3 decimal places?\nAnswer: -0.584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 AM and 5:20 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 1 = -2*v, 31 = 4*v + 4*h - 3*h. Let k be (-51)\/(-7) + (-2)\/v. Suppose k*t = 2*t. Put -1, -3, t in descending order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45864 divided by -1638.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9941 rounded to the nearest one hundred?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of 3215*t**9\/504 + 206*t**5\/15 - 2293*t**2. What is the third derivative of h(g) wrt g?\nAnswer: 385800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 23545 = -7*x, 2*h + 4238 = 5*x - 12577. Is x a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 221 - 77 - 67 + 3*r - 77.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q - 10 = -4*r + 5*q, -5*q + 25 = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 4*z - 2*y - 112, 3*z + 2*y = 109. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 408493708*m**2 + 62358408*m - 5 wrt m.\nAnswer: 816987416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13911 - 13847.1. Is -8 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*(p*p*(p**(-36)*p)\/p)\/p*p*p**(1\/14) assuming p is positive.\nAnswer: p**(-461\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3 and 83160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)\/(sqrt(16)*1).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 156425110 a multiple of 485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 3*j = 2 + 4, 0 = 3*j. Let x be 9*b\/30*5. Suppose -x*a + 123 + 87 = 0. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/((-540)\/50))\/((-4)\/(-48)*-10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -5. Let a = 20255 + -20256. Is 794*((-9)\/d*a - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 6120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by 3.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 361, 359, 357, 355, 353?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 176 and 31967408.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {a: 3, g: 2, j: 3, p: 1, e: 1, z: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -6 from -19884.\nAnswer: -19878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3*6\/30*367\/2. Let v = c - -110. Is v at most -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 642.204876 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-18) + 938\/18 + (-101)\/11514*38?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 4*(-30)\/312*(-3 + 117\/65)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -115 + 218. Suppose b - 430 = 2*a - s, 0 = 5*a - 20. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -16*z**2 + 45*z + 103. What is m(6)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 993075832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -329*-0.5.\nAnswer: 164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 + g + 1. Let p(s) = 15*s**2 - 18*s + 19. Let m(t) = 6*i(t) + p(t). What is the hundreds digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 less than or equal to -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 199 by -68282.\nAnswer: -199\/68282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 453830312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 34 = -3*u, -22*u + 0*u = 5*w + 23*u + 500 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 12:52 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the third derivative of 2*t**6\/15 + 11*t**4\/24 + 10*t**2. What is the second derivative of w(r) wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 11*n - 36. What is q(6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/d**19))**(-3\/10))**(-14) assuming d is positive.\nAnswer: d**(399\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2169.871346 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -855 + 852. Let w(x) = -x**3 + x**2 + 1. Let n(k) = 6*k**3 + k - 3 + 16*k**2 - k. Let i(j) = s*w(j) - n(j). Find the third derivative of i(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1256 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-134)\/472 - 6\/(-8). Let g = t + 2\/59. Find f, given that g*f + 0 + 1\/2*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 2*o**4 + 1 - o**4 - 30*o**4 - 4*o**4 + (o**3 + 3*o - 3*o)*(-3*o - o + 3*o) - 2*o**4 + 0*o**4 + o**4 - o**3 + o**3 + o**4 + o**4 + 0*o**4 - 2*o**4.\nAnswer: -35*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46\/252 - 2\/28.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14777023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 - 2*i**2 - 3*i - 2. Suppose 6 = -4*a + 30. Let c = -8 + a. Give q(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3*d + 1 - 9 + 13 + 0 - 2. Determine g(10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22472 and 37168688?\nAnswer: 37168688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 335 - 334.7. Which is the closest to 15?  (a) y  (b) 14  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 42 = 3*i, 4*i + 76 = 9*i - d. Find y, given that 82 - 2*y**2 + 18*y + 10*y**2 + 4*y**2 - 18*y**3 - 79 - i*y**4 = 0.\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -2*m - 3, 4*m + 14 + 5 = 3*a. Calculate the remainder when 42 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*a + 10*a + 42. Suppose 0*z - 26551 = -a*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j + 2*j**4 + 10*j**2 - 1633 - 12*j**2 + 3*j**3 + j + 1602 to w*j**4 + m*j + u*j**3 + b*j**2 + o and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.76453 less than -4?\nAnswer: 1.76453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -374 (base 12) to base 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -42*a + 2460. What is the greatest common factor of a and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3933292*d**3*y + 729*d*y + 2*d - 182*y wrt d.\nAnswer: 23599752*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -14, -4, 97, 4 in decreasing order.\nAnswer: 97, 4, 1, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.028 - 0.035. Let i = c - -12.507. What is i rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 78*d**2 - 28*d**2 - 31*d**2 - 6 - 25*d**2 as i + x*d + q*d**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7054313 - -7054309.999709. Let g = 3 + d. What is g rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/6 - 2\/3. Differentiate 3 - 3*n**2 + 0 + d - 1 with respect to n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/4*2*-42. Let t = i + -39. Which is greater: t or 23?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18.56 - -18.673. Do -4\/5 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 + (24 - 2*3\/(-6)). Let c be (-360)\/(-44) + (-4)\/j. Suppose 4*k = 2*d - k - c, d - 13 = -2*k. Calculate the lowest common multiple of 4 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 13*a - 48. What is the remainder when y(7) is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1358405 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 166313741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40655 - -65592. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 106 and 5671?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 1199, -2, 3.\nAnswer: -5, -2, -1, 3, 1199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4 - -1 - (-2 + -15). Suppose -4*t - 2 = -m. Let x = 47 + t. Calculate the greatest common divisor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, -12, 0, -4, -5 in descending order.\nAnswer: 5, 0, -2, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 PM and 8:59 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50444 is divided by 2964?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 296*r + 19. Let w(c) = -4*c + 2. Determine l(d) - 12*w(d).\nAnswer: 344*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -19740900 to the nearest one hundred thousand.\nAnswer: -19700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 12*t + 87. Let n(q) = -12. What is -6*n(w) - z(w)?\nAnswer: -12*w - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7915 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -3*r + 12, 0 = -3*r - 2*f + 5*f + 18. Find the second derivative of -16*g + 6*g + 19*g**2 - 6*g**2 + r*g**2 wrt g.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**7\/v)*v**10)\/((v**(11\/3)\/v)\/(v*v*v**(2\/17))) assuming v is positive.\nAnswer: v**(227\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-4 + 2*(sqrt(1377) + -5 + sqrt(1377) + -1 - (sqrt(1377) + (1 + sqrt(1377))*-4)))**2*-4.\nAnswer: -551053 + 5760*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211705718?\nAnswer: 2, 7, 487, 31051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 3*f + 52 = 0, 5*p - 3*f - 64 = f. Let a = 69 - p. What are the prime factors of a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qopqphphphho. Give prob of sequence qop.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*1\/2*(3 + -3). Suppose 6*m - 4*m - 34 = z. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1531 + 3067\/2. Let g(p) be the first derivative of 10 + 27\/8*p**4 - 8\/3*p**2 - d*p**3 - 2\/3*p. Suppose g(j) = 0. What is j?\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -202*q - 2222. Let r be u(-11). Let p = 1 + 1. Sort r, 1, -5, p.\nAnswer: -5, r, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596655 to the power of 1\/2, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -1345.3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 - 4*y**2 - 3*y + 15. Let t be q(4). Suppose 3*u + 7 = -4*k, -2*u + 16 = -t*k - 2. Suppose 2*p + 5849 = u*r, -5350 = -3*r - p + 496. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12468 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*(-6*c**2 + c**2 + 0*c**2) + (0 + 0 - c + 2)*(6*c - c + 8*c + 1) - 2*c + 2*c + 16*c**2.\nAnswer: 13*c**2 + 25*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -560 = -11*x + x. Calculate the remainder when x is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 293790784 a multiple of 332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 1:14 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13356\/11 + -66758\/55. Which is the second smallest value?  (a) f  (b) 3\/2  (c) 3  (d) 10  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32440430 (base 5) to base 16\nAnswer: 448a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1793940517.\nAnswer: 1039, 1726603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 - 10*a**2 + 22*a - 38. Calculate f(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5995 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*1*676\/104.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 - 9*z**2 - 12*z - 6. Let d be h(-8). Find the third derivative of 3*y**6 + 37*y**6 + 2 + d*y**6 + 14*y**2 + 16*y**6 wrt y.\nAnswer: 9840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 2*w - 4, -w + 5*w - 8 = 0. Suppose i = 10*g - 31*g. Let k(h) = -h**2 + h - 6. What is k(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**2 - 28 - 48 + 8 + 0*t**2.\nAnswer: -t**2 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -100204956129 + 20\nAnswer: -100204956109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22200200222012 (base 3) to base 2.\nAnswer: -10001100111110110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 - 11*m - 2. Let y be k(-5). Let i = y - -3. Suppose -2*s - i = -3*s. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v - 4*v + 10 = 0. Let s be 21\/(-3) + (v - -3). Let k be (-5 - -3)\/((-4)\/s). Put k, -4, 3 in descending order.\nAnswer: 3, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -5*h**2 + 29*h + 152. Give y(11).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 109322 and 437288?\nAnswer: 437288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-3))\/((44\/(-96))\/11).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/22793808 and 101\/21926.\nAnswer: 433082352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 68*j - 4545. Determine h(67).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 411 a factor of 705534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/249678 and 4\/1287.\nAnswer: 249678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4851249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1306\/3 - 655\/3*d - 1\/3*d**2 = 0 for d.\nAnswer: -653, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 230, 233, 236?\n\"Answer: 3*y + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -166511\/3431 or -48?\nAnswer: -166511\/3431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of -g**2\/2 - 2*g + 1. Let s(i) be the second derivative of -i**4\/12 + i**3\/6 - 2757*i. Give h(z) - s(z).\nAnswer: z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from qqffqffqfqqqff.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -2*h - 19, 4 = 5*h + 14. Let m = o - 1. Let p(u) = -m*u - u + u. Let y(a) = 2*a. Calculate y(p(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 + 6\/(-3) - -3. What is the closest to -1 in h, 0.5, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 12\/13, 75, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 522*w**3 + 20*w**2 - 50*w + 2. Calculate the remainder when d(2) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -56 - -223\/4. Let p = -155015.6 + 155016. What is the second biggest value in p, -1\/8, 5, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8476 divided by -2573\nAnswer: 8476\/2573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/((g**(-1\/6)\/g)\/g))*g*g*g\/g**(-1\/7)*((g*g\/g**(-15))\/g*g)\/(g\/(g*g\/(((g\/((g*g**(-8)\/g*g)\/g))\/g)\/g))))**14 assuming g is positive.\nAnswer: g**(503\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of 8*b**3\/3 - 7*b**2\/2 - b. List the prime factors of q(5).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 980 divide 1141510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-693)\/(-385))\/((-9)\/15) - (-29)\/7\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7466.3 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -95 - -53. Let s(k) = k**2 + 7*k - 18. Let i be s(-9). What is the tens digit of (-1 + i)*(a - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 4:10 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**9)\/p*p**(14\/5)\/p*p**(3\/19)\/(p*p\/(p*p**30)) assuming p is positive.\nAnswer: p**(3796\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**3 + 5*w**4 + 171*w - 2*w**2 - 171*w)*(3*w - 3*w + w + (-w - 3*w - 3*w)*(-5 + 2 + 1)).\nAnswer: 75*w**5 + 15*w**4 - 30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134288?\nAnswer: 2, 7, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 + 13. Suppose 6*p = 3*p + 6. Which is bigger: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 44774, 178998, 402698, 715880, 1118550, 1610714?\n\"Answer: h**3 + 44732*h**2 + 21*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -49*l + 7302 + 5438. Differentiate -70 + 36 - l*p + 28 - 179 - 66 wrt p.\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 72305, 144596, 216877, 289148, 361409, 433660, 505901?\n\"Answer: -5*d**2 + 72306*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -692*g*m*x + 1816*g*m + 3*g*x + 5*m*x + 2408*m - 28*x - 2 wrt g?\nAnswer: -692*m*x + 1816*m + 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k**3 - 2*k**3 + 0*k**3)*(2*k + k - k + (0*k - 3*k + 2*k)*(-1 - 1 + 0))*(0 + 0 + k).\nAnswer: -28*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 26\/109 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 + 2*v. Let r be q(2). Let t(w) = 5*w - 1. Let c(j) = -j + 2. Let y(l) = -4*c(l) - t(l). Calculate y(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1474)\/4)\/(3\/(-6)). Suppose -1178 = -5*c + x. What is c rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 85 and 535810?\nAnswer: 9108770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 225 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/4*(1 - (-55)\/33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6, 32, 68, 108, 146, 176, 192?\n\"Answer: -u**3 + 11*u**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of b**10\/1360800 + b**9\/544320 - b**5\/15 + 5*b**2. Let r(i) be the third derivative of a(i). Find c, given that r(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1141041 (base 5) in base 9?\nAnswer: -32313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*z**3 + 9*z**2 - 6*z**2 - 3*z**2.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 475*j**5 + 3*j**3 + 302*j**2 + 25539*j + 48?\nAnswer: 9500*j**3 + 18*j + 604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 8. Suppose -5*g + 10 = s, -k*g + s + 6 = -2. Determine u so that u**g - 6 + u + 6 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32956, 65698, 98440?\nAnswer: 131182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 14 - 147506?\nAnswer: -1474b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 5  (b) 4  (c) -3  (d) -1  (e) -95  (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n**2 + 5*n + 1 - 2*n**2 + 2*n**2 - 3 = 0. What is n?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 20146 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -66189 or -66187?\nAnswer: -66187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 26245 or 26224?\nAnswer: 26245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -401, -1071, -2189, -3755, -5769, -8231?\nAnswer: -11141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w. Let j(t) = -t**2 - 8*t + 9. Let s be j(-9). Let c(p) = 0 - 2*p + s. Give c(x(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1775, -3519, -5235, -6923, -8583, -10215, -11819?\n\"Answer: 14*n**2 - 1786*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20 - -15. Let n be (-8)\/c*35\/14. Find the second derivative of -u**3 - 7*u + 4*u - n*u wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 12*b = 778 - 574 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.15 + 0.1. Let w = m + -1.95. Let s = 164 - 493\/3. Which is the nearest to 1?  (a) 3  (b) w  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(((-1)\/((-1)\/21))\/3).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1482190 is divided by 423?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 5 = -5*j - 0, 3*t = -5*j - 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.21 - -0.29. Let k = z - 5.50111. Round k to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1988 - -6?\nAnswer: -1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**12*u*u**4\/u*u**3\/u*u*u**(-4) assuming u is positive.\nAnswer: u**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/600 and -149\/4800.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j**2 - 21*j - 490. Let s be f(22). Solve -6*l + 10*l + s = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-12)*4 - (-8)\/12. Suppose 2*o + q*o + 4*l - 74 = 0, -o = -l - 34. Let v = 121 - o. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from 7202827.87.\nAnswer: 7202832.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-20)\/5 + (2 - -4). Suppose 2 = r + c. Suppose r = -w - l - 6, 7*w - 4*w - 3*l - 12 = 0. Let v(u) = 11*u**3 + u**2 - 1. What is v(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4093273 and 69392?\nAnswer: 4162665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -666  (b) 2\/5  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + 0 - (1038 + -1065).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*g - 29 = -245 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 times -25828.706?\nAnswer: 284115.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5738100 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 3*m. Let b(r) = -r**2 - r + 1. Let u(s) be the third derivative of s**5\/60 - s**4\/24 + s**3\/6 + 4*s**2. Let t(h) = -b(h) + u(h). Calculate n(t(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*j + 77 + 1 = 0. Let i be 6\/42 + (j - -3). What is the third biggest value in 7, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -21. Let u be 7 + -6 + 6 + 1. Is v at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o**2 + 29 - 44 - o**2 + 18*o. Let s(h) = -h + 1. Let k(v) = 6*s(v) + z(v). Factor k(a).\nAnswer: -3*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 270, 533, 794, 1053, 1310?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from tggvmtttgvv?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 - 9*k**2 - 8*k + 3. Let z = -4 + -4. Let f be j(z). Calculate the lowest common multiple of 8 - (0 + -2 + f) and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 102*(2 - (8 - 5)). Let a be (-8)\/(17 + -1) + v\/4. Let m be (-4)\/10 + a\/10 + 2. Which is smaller: 3\/50 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 679 in 220, 4, -51?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.028, 2\/5, -20, -0.2 in decreasing order.\nAnswer: 2\/5, -0.028, -0.2, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 3756319.08 to the nearest 1000.\nAnswer: 3756000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(44\/((-286)\/13))*-102)\/(-1)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -100*c**5 - 28026*c**4*t**3 - 23626741*c**2*t**3 wrt c.\nAnswer: -6000*c**2 - 672624*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**4\/9 + 7984324*q**3\/3 + 23906044135688*q**2\/3 + 143436169002256*q\/9.\nAnswer: 2*q*(q + 2)*(q + 5988242)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15939.\nAnswer: 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 0*f = 4. Suppose -3*z - 4 = -i, f*i - 32 = i + 4*z. Calculate the remainder when 61 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-54)\/6*(-12)\/81\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2799788 >= 2799789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1)*(2 - 1270*i - 2 + 859*i).\nAnswer: -822*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-21)*m*m**19 assuming m is positive.\nAnswer: 1\/m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 769, 1\/4, -1790?\nAnswer: -1790","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9\/(-3) + 50 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 162, 401, 652, 921, 1214, 1537, 1896, 2297?\nAnswer: 2746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -10*z**3 - 3*z. Let t(c) = 11*c**3 + 2*c. Let n(s) = 39*s + 114. Let u be n(-3). Give u*t(q) - 2*b(q).\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -4*r - 8. Let j be v(-3). Suppose 3*o - j*t = 2 + 14, -5*o - 3*t + 17 = 0. Let x(n) = 8*n - 6. What is the tens digit of x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -80186, -160312, -240434, -320552?\nAnswer: -400666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.75, -1\/3, -96, -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 + 24*s**2 - 24*s + 17. Let m be r(23). Let b(i) = -1007*i - 61. Is b(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102767*s + 102774*s + 30 = 4*w, 3*s = -2*w - 24 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -12  (b) 1\/4  (c) 22  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18439, -36866, -55285, -73690, -92075?\nAnswer: -110434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2394, 1490, -46, -2226, -5062, -8566?\nAnswer: -12750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80697?\nAnswer: 3, 37, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/12*(0 - (-30)\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 170*n - 40*n**2 - 170*n in the form t*n + u + x*n**2 and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10020 - 9925. Which is the nearest to 3?  (a) w  (b) -2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 53, 141, 195, 209, 177?\n\"Answer: -w**3 - 11*w**2 + 128*w - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 8:40 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 2:26 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 16724.05 decades in months?\nAnswer: 2006886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d*d*d**12*d)\/d)\/(d*d\/(d*d*d*d*d**(-27)*d*d*d)))\/(d**(-15)*d**(-4\/17)))**36 assuming d is positive.\nAnswer: d**(4428\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 6\/7  (b) 339  (c) 0.3  (d) 2\/13  (e) -2  (f) -99\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 12 = -4*x + 6, -3*u - 3 = 0. Solve -4*a - 12 = -x*o, 2 - 9 = -3*o + a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from innniinnnn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 42\/13?  (a) 2\/93  (b) 1  (c) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 9. Let z(d) = -d - 2. Let c(b) = 1. Let s(q) = l*z(q) - 11*c(q). What is s(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**2 - 1825*l - 10770.\nAnswer: -5*(l + 6)*(l + 359)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*(-8)\/(-336)*(-1)\/(-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -21*b*k**4 - b*k - 93*b + 34492*k**2 + 4*k + 24202 wrt k?\nAnswer: -84*b*k**3 - b + 68984*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 97 + 108 = 0. Let d(k) = -k**2 - 39. Let n be d(0). Let h = n - x. Solve 2*g + 2*q - 4*q = -14, 3*q - 17 = h*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-3) - 264\/(-180).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -37, -81, -135, -205, -297, -417?\n\"Answer: -i**3 + i**2 - 40*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -111*m**4 - 6*m**3 + 1439*m**2*s + 2*m**2 - 13*m*s + 2*m - 9906*s wrt m.\nAnswer: -1332*m**2 - 36*m + 2878*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3964.06 rounded to the nearest 100?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6267374?\nAnswer: 2, 577, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 31, 4\/9, -19?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/9842 and -1\/8512.\nAnswer: 314944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add -482 and -23.\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 40, 69?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 36 - -12024?\nAnswer: 12063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1479219 and 4?\nAnswer: 5916876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 3*w**4\/5 - 321*w**3 + 199581*w**2\/5 + 201189*w\/5 = 0.\nAnswer: -1, 0, 199, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.251 less than 34679?\nAnswer: 34679.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 343, -0.3, 2\/3 in decreasing order.\nAnswer: 343, 2\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 52 - 52. Suppose -2*o + 4 = 2*l, -l + a*o + 18 = -3*o. Let r be (-3)\/(-4)*(-2 + l). Solve r + 0 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, o: 2, u: 1}. Give prob of picking 1 h and 1 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -16*m**3 + 16*m**2 + 7*m - 7. Let k(l) = 5*l**3 - 5*l**2 - 2*l + 2. Let s(g) = -7*k(g) - 2*y(g). What is the third derivative of s(d) wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19 + -3. Let a(r) = -3*r**2 + 8*r - 421. Let u be a(0). Let i = -245 - u. Calculate the greatest common divisor of i and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27 + 40 + 22577*j**2 - 22576*j**2.\nAnswer: j**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j + 9. Let i be o(6). Let s be (-4)\/(-6)*i\/7. What is the nearest to 0 in -2\/9, s, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 + 9*n + 6. Suppose w + y + 4*y = -18, 3*w - 10 = y. Suppose i = 1, 4*b - i = -w*i + 13. Suppose 91 = -b*g - 10*g. Give x(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2057 = 5*w + 2*s + 17018, -3*w = 2*s + 11449. Let a be w\/12 + 4\/(-16). Let p = a + 4136\/13. Sort -0.6, p, -2\/13 in descending order.\nAnswer: p, -2\/13, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7844, 7840, 7756, 7538, 7132, 6484?\nAnswer: 5540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(484)\/(sqrt(33)\/sqrt(3)))\/(sqrt(64)*-1) + -2)**2.\nAnswer: sqrt(11) + 75\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 762391 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/4 and 3\/(-8)*62\/12.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*v - 53 = -8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of -a**3\/3 + 21*a**2\/2 - 25*a. What is the remainder when 9 is divided by n(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = j + 9, j + 2*w - 12 = 7. What is the remainder when 21 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 87042294*u**3*w - 2*u*w - 7960*u - 32*w + 4 wrt u.\nAnswer: 522253764*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -1\/3  (b) 1  (c) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-41 - (0 + 0 + -1)) + (5844 - 5846).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 216, 436, 646, 840, 1012, 1156?\n\"Answer: -w**3 + w**2 + 224*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of g + 5. Let q(k) = k + 2. Let s(j) = 6*i(j) - 3*q(j). Let z(m) be the first derivative of -m**2\/2 + 70. Determine s(z(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/(-5))\/(32\/120). Let u be (-39)\/15 + 0 + 2. Let b = 0.1 + 0.4. What is the third smallest value in u, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 4 + -2 - (-2 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t\/(t\/t**(1\/4))))\/(t*(t\/t**(-1\/4)*t)\/t))\/((t\/t**(-2\/13))\/t*t**(1\/5)*t)*(t*t*t\/t**0*t*t)**(-15)*t**2\/(t\/(t*t\/(t**1*t))*t) assuming t is positive.\nAnswer: t**(-10251\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2887\/39 + -74. Let l(j) = 15*j - 74. Let s be l(5). Are g and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 2*x = -3*h - 23, 4*x - 12 = -4*h. Let l = h + 1. Let c = l - -1. Which is greater: 1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1935 + -696. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of -55*i**4\/4 - 4*i**2. Let u(d) = 369*d - 74. Let c(y) = -10*y + 2. Let a(k) = 74*c(k) + 2*u(k). What is a(g(n))?\nAnswer: 660*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 700 and 1250060.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -621*t**2 + 489*t + 491*t + 481*t - 1461*t to z + f*t**2 + s*t and give f.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 19 - (-70 + 72 - (2 - -8))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 144\/(-600)*(-10)\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 - j - 5*j - 7*j - 3*j - 5*j to v*j + u and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1397, 2796, 4195?\nAnswer: 5594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/8 + 7185*r\/4 + 5046559\/8.\nAnswer: -(r - 14713)*(r + 343)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3062)\/22 - 2\/(-11). Let c = -149 + m. Let a = -173 - c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*x - 13*x + 29 + 1 - 2*x**2.\nAnswer: -2*x**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -6*b + 10, 4*y = 3*b - 37200015. Round y to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m - 333*m**2 - 273*m**2 + 4*m.\nAnswer: -606*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 178240000 rounded to the nearest 1000000?\nAnswer: 178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -169 divided by 8.\nAnswer: -169\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6627 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - -14. Let a = -13.12 + p. Let q = a - -0.12. What is the biggest value in 0.07, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 4136 + 19486 = 0. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**3 - 235*l**2 + 51050*l - 101120.\nAnswer: -5*(l - 79)*(l - 2)*(l + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.160025 * -0.337.\nAnswer: 0.053928425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 6. Suppose v - 3*v - 10 = -z, 0 = -s*z. List the prime factors of 36\/15 + 2\/v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 1. Let s = -1 - 3. Let d(f) = -f**3 - 3*f**2 + 4*f - 5. Let r be d(s). Let k(p) = -p + 3. Give r*m(y) + k(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**2 - 7*m + 11100*m**3 + m**2 + 0*m**2.\nAnswer: 11100*m**3 - 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 983659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 153*a + 47. Let b be 1 + (0 - 5 - -1 - -5). What is the units digit of j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**3*r)\/r)**12*r**(-4\/5)*r*r**5)**(-7\/9) assuming r is positive.\nAnswer: r**(658\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -34440*q**2 - 4362*q + 6 wrt q?\nAnswer: -68880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141593 is divided by 5227?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 70466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16559, -16560, -16561, -16562?\nAnswer: -16563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 483*q - 159*q - 12*q - 152*q - 123*q.\nAnswer: 37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(5\/6))\/y**(7\/6) assuming y is positive.\nAnswer: 1\/y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 3:59 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 739476 and 1336.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 0. Let f be (-2)\/g*27\/72. Let w = 6 - 5.7. Which is the third smallest value?  (a) w  (b) f  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/(-1) - (-2 - (-75)\/(-3)). Suppose 6*s - 112 - x = 0. What is the greatest common factor of s and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 5 - 6 = -3*i, -4*s + 21 = i. Let d = -5.3 - -1.3. Put 0.4, d, i in decreasing order.\nAnswer: i, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 28, 106, 196, 298, 412?\n\"Answer: 6*j**2 + 60*j - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16427591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 351 - 171. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-378)\/(-252)*(-30)\/(-9). Solve 4*r - g = 236*h - 237*h, 5*r = -4*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92*o**2 - 7 + 7 + 123*o**2.\nAnswer: 31*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 2601445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*o = 39*o + 1072. Let h = 3756\/7 + o. What is the closest to -2 in 1, h, 0.02, 0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(6\/5)\/(t*t*(t\/(t*t*(t*t**(1\/4))\/t))\/t))\/(t**(-1\/2)\/t**1))**(-12\/7) assuming t is positive.\nAnswer: t**(-177\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 8*p**3 + 14*p. Let l(j) = j**3 + j. Suppose -2*b + 0 = 11*b + 26. Calculate b*v(k) + 28*l(k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/21 - (-223)\/4683.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = a + 2*f - 19, 8765 = 5*a - 4*f + 8712 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 - 1. Let z(b) be the first derivative of -2*b**3 + 5*b - 10. Calculate 5*q(n) + z(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -22, -59, -132, -253, -434, -687?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -2*f - 27. Is 5 a factor of 1\/((9\/20)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2303958, 4607877, 6911796?\n\"Answer: 2303919*b + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1220330 (base 4) in base 16?\nAnswer: 1a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -341 + 44 + 293 - 4*p. Let n(f) = -4*f - 5. Let o = 1 - -5. Determine o*n(h) - 7*t(h).\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 PM and 1:39 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jx when two letters picked without replacement from ejejejsexesosejse?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111330120 (base 4) to base 12.\nAnswer: -44020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = 2*s + 58, 0 = s + 4*k + 105015 - 104979 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 508 + 191. Let p = i - 472. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*(-3)\/3)\/((-6)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 151 - 5337*k + k**2 + 267 + 5332*k.\nAnswer: k**2 - 5*k + 418","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -1. Suppose -15 = k*a, -5*y = a - 5*a - 262. Calculate the common denominator of y\/11 + -2 + -3 and -32\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 + 15. Suppose -m - 5952 = -a*c + 2*m, -4*c + 5*m + 11906 = 0. Let l = c - 5539. Round l to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5733 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -4*u - 3*z - 56, 0 = -u - 3*z - 4. Let y = u + 9. Let f be (4\/10)\/(y\/(-120)). What is the highest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g + 3. Let t = -6 + 8. Let u(i) = 1 + 0 - t. Let j(d) = s(d) + 4*u(d). Differentiate j(n) with respect to n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 71 = -2*c - 43, -4*g = 2*c + 154. Let s be (-10)\/(-5) + c\/(-1). Let h be (-72)\/(-3)*s\/12. Round h to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 0 - 1)*(-4 - 23 - 3) + (-3 + 7 + 0)*(4 + 0 - 2)*(0 - 1 + 3))*(-4*m + 2*m + m).\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 3*z + 7, -4*w = 5*z - 1 - 15. Let x be (-1)\/w + 85\/(-35). Is x not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -12*b**3\/5 - 789044*b**2\/5 - 105204*b + 263012\/5 = 0.\nAnswer: -65753, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -34 in 9, 0.36, 4\/27?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7692941021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2\/55)*j*(j**(6\/17)*j)\/j*j**(-2)\/((j\/j**(4\/11))\/j) assuming j is positive.\nAnswer: j**(-299\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22 + 32. Let a(c) be the third derivative of -c**6\/120 + 11*c**5\/60 - 11*c**4\/24 + 5*c**3\/2 + 2*c**2. Let y be a(w). Is 3 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 78\/(-18))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -135?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 AM and 2:53 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13866119 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-22)\/((-66)\/(-9)))\/(18\/(-4)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4765507 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4182 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1820 - 1818. What is the biggest value in 2\/17, 3\/2, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - 5 - (-7 + 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 120105 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -17334 and -0.116?\nAnswer: 17333.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/(-36)*(-15)\/70\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*r - 32 - 8. Let a = -8 - -18. Let k be a\/35*1\/(-2). What is the closest to 4 in 2, k, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 8:33 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -69a405 (base 11) in base 16?\nAnswer: -10f742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 - 1 + 18)*(-1 + 1 + 2)*(-17 + 588*h + 586*h - 1182*h)*(2 - 2 + 2*h**3).\nAnswer: -1184*h**4 - 2516*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*(-1 + 6\/(-9)). Suppose 725 - 265 = m*y. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28 - 23. Suppose j + 5*v - 17 = 0, 0*j - b*v - 27 = -j. Suppose -j = 2*l + 20. Is -21 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 8, -2\/215, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 102 = -3*w, 0 = 38*w - 43*w + q + 147. Let y(x) = -2*x**2 + 58*x + 14. Determine y(w).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75, -478, -1155, -2112, -3355?\nAnswer: -4890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 17 - (-4 + 3 + -6). Solve 0*o + x = -8*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(637)*3 + sqrt(637) + 1 + sqrt(637) + 3)*4)**2 - (-1 + (1 + sqrt(637))*4*-2)**2) + 3.\nAnswer: 6160*sqrt(13) + 611698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -8 + 189*i**2 + 11*i + 12 - 4*i. Let r be u(-4). What is r rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 15 - (2 - -1 - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w**2 - 230415*w - 230416 = 0. What is w?\nAnswer: -1, 230416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99 + 160 - 68 + 2*y.\nAnswer: 2*y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.6 + 2.2. Let l = 2.45 - u. What is l rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 342101027?\nAnswer: 31, 11035517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 430 divide 1483199430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42 - -34 - -26) + 0 + -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 32132484, 64264963, 96397442, 128529921?\n\"Answer: 32132479*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2234.283 millennia in years?\nAnswer: 2234283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5411*p**2 + 4951*p**2 - 10760*p**2.\nAnswer: -398*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 113, 247, 439, 719, 1117?\n\"Answer: 5*r**3 - r**2 + 102*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6 + 32\/(-6))*183*-2. Let i = u - -249. Solve 0 = -i*x - 2 + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 smaller than 3729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (13*k + 40 - 40)*(3 - 3 + k**2) + (31 - 6*k - 13 - 16)*(4*k**2 + 6*k**2 - 2*k**2) in the form q*k + o*k**3 + r + w*k**2 and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -6 + 11. Let j(s) = 3*s**2 - s. Let q = 2 + -1. Let i be j(q). Calculate the highest common factor of i and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4714 = 4*n - 9*r - 4733, -3*r = -5*n - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9\/15*(5 + 1). Let f = -142\/45 + r. Determine q so that 2\/9*q - f + 2\/9*q**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 <= 944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3867442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18 - (-6 + 1)) + (-49 - (-27 + 8))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 5*q - 3945, -5*q - 1108 = 8*a - 11678. What is the remainder when a is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) 6  (b) -1\/3  (c) 1\/2  (d) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -256 - -251. Which is the closest to -2\/7?  (a) d  (b) 0.03  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.20322624 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 - 3*z**2 + 3*z + 4. Let p be n(-3). Let b be (-12)\/(12\/(-3)) + p. Is (b - (2 + -2))*(-991)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 15*p = 21*p - 12, -4*c + 10 = 5*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 317*d - 548*d**2 + 550*d**2 - 319*d + 6*d**3 + 1. Calculate u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 27*a**5 + 115872*a**3 + 2*a + 7864223 wrt a.\nAnswer: 540*a**3 + 695232*a","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is 826.6637 days in seconds?\nAnswer: 71423743.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3250 and -0.02.\nAnswer: 3249.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -15 - 3*t + t - t + 2*t. List the prime factors of d(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 172435 = 11*s + 43027. What is the greatest common factor of 64 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-9)\/(-3) - 176)*1. Let c = j + 299. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/3, 2, 0.07, -1 in decreasing order.\nAnswer: 2, 4\/3, 0.07, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4873632?\nAnswer: 2, 3, 50767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 24*c**2 - 2*c + 41. Suppose 0 = -17*u + 26*u - 45. Is m(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + x - 2)*(22*x**2 + 25*x**2 - 5 - 3*x**3 - 45*x**2).\nAnswer: -3*x**4 + 2*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-280)\/120)\/((-238)\/(-612)*6\/28)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 6*j**2 + 2*j - 1. Let q(i) = 2*i**2 + 2*i + 3. Let h(a) = 17*a**2 + 11*a + 11. Let r(v) = h(v) - 4*q(v). Determine -5*r(k) + 8*s(k).\nAnswer: 3*k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 69*a**2 + 29*a + 10. Let d(z) = -71*z**2 - 28*z - 12. Determine 5*d(k) + 6*s(k).\nAnswer: 59*k**2 + 34*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/47, -77, -1, -3, -2, 3 in decreasing order.\nAnswer: 3, 2\/47, -1, -2, -3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 11*z**2 + z - 2. Determine u(3).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5309366463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 32*h + 41*h + 25*h - 30*h in the form n*h + s and give n.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add 259149 and -5.64606972.\nAnswer: 259143.35393028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -33817712 >= -33817712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85438896 divided by 24.\nAnswer: 3559954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6757652 and 70576.\nAnswer: 27030608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 12436c9?\nAnswer: -12436cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 1304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -8. Let n = t + 1. Let w = -0.4 + 0.5. What is the nearest to -1 in -2\/9, n, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h + 8 - 8 - 4 + 2*h + 4 + (-4 + 2 + 0)*(-2*h + 3*h - 3*h) + h + 3*h - 2*h - 4*h - h + 3*h - h + 2*h + h - h - 5*h + 3*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/37 < 2\/341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -5. Let r = 4 + -2. Let a = -3.94 - 0.06. What is the nearest to 1 in f, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22760422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 256.068075 to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-2) - 2 - (-100)\/4. Let y = 23 - a. Solve -o + 5 = y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, 37, 0 in decreasing order.\nAnswer: 37, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5565341 divided by -23?\nAnswer: 5565341\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 30 = -5*n, -19*n + 2*p - 15 = 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9693\/1077 + -2 + 1466\/(-210)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.0970762 tonnes in grams?\nAnswer: 97076.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of -5*l**7\/42 + 61*l**4\/12 - 37*l**3\/3 - 6*l + 3. Find the second derivative of p(n) wrt n.\nAnswer: -100*n**3 + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -384 - -558?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1081 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 544 is divided by 165.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -5  (b) 2\/5575  (c) 3  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19725 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: Simplify ((1*sqrt(76) + sqrt(76))*-1)\/(-2*sqrt(400)).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 81, 112 in decreasing order.\nAnswer: 112, 81, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*g = -29*g. Suppose 4*j - q = 220, g = 4*j - 4*q + 21 - 241. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 212 and 159?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 169 - 165. What are the prime factors of (-8 + (u - -2))\/((-2)\/185)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 2 = 2*i, -57*i + 60*i = w - 3. Sort i, 2, 49, 1 in decreasing order.\nAnswer: 49, 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(76)\/sqrt(4) + 0) + sqrt(190)\/(1*sqrt(10)*-2) - 1*(-2 + -4 + sqrt(76) + 1))**2.\nAnswer: 5*sqrt(19) + 119\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1423464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(68) - sqrt(68)*-1*5 - sqrt(68)))\/(4*1*sqrt(4) - sqrt(4) - sqrt(768)\/sqrt(12)).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - a + 67. Is g(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 3*r + 4*v + 594, r + 186 = 2*v. What are the prime factors of r\/(-6) - 30\/(-45)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j + 2*j**2 - 7*j**2 - 163 - 2*j + 0*j**2 as b*j + f*j**2 + a and give a.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/5)\/l)**48 assuming l is positive.\nAnswer: l**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 0 + (-22)\/(-12)*-5 and -93\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 145984*y**3 + 3*y**2 - 47*y + 37619.\nAnswer: 875904*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 409486.7 days in weeks?\nAnswer: 58498.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2876497.\nAnswer: 13, 409, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2513*b + 22615. Determine k(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2 - 5. Calculate the greatest common divisor of u and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 36309308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-78))\/((-113)\/(-3729)) + -9 + 11?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 5 - (-1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -4*o + 4*o**2 - 5*o + 3*o + 5*o. Let z be n(2). Suppose 0*p - y + z = p, 4*p + 2*y = 60. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 - 64 = 16*u - 27 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 105244674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 489205173.\nAnswer: 3, 163068391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -3\/2*u**2 + 0*u**3 + 0*u**4 + 12\/5*u**5 - 7 + 0*u. Find the second derivative of d(f) wrt f.\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4600 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1109*a - 51 = 1112*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -176 - 179 = -h - 353. Put 19, -3, 4, 111, h in ascending order.\nAnswer: -3, h, 4, 19, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(-2)\/y)\/y**(-1\/13))\/(y**(-4)*y**0\/y))**(-1\/2) assuming y is positive.\nAnswer: y**(-27\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 379952.5 centimeters in millimeters?\nAnswer: 3799525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26734690 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -2*x + 4, 2*x + 4*i - 8 = 3*x. Calculate the least common multiple of x and 46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*s - 52*s + 15210. What is the highest common factor of s and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -179 - -184. Let n(g) be the second derivative of 0 + 0*g**3 + 3\/2*g**2 + 1\/10*g**j + 2*g + 0*g**4. What is the derivative of n(m) wrt m?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 23*-1*(-5 - -6). Round l to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 11. Let l = 29 - c. Let d = l + -13. Solve -3*p = -20 + d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-798)\/(-12))\/(-19)*((-648)\/(-84))\/(-9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 150625 and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4302 rounded to 2 dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2347.9994769 - -2348. What is m rounded to 5 decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 - 83*t - 21 + 6*t**2 + 8*t**2.\nAnswer: 14*t**2 - 83*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2625005272?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-79 - -40 - -30) + 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of 15*l + 0*l**5 + 0 - 7\/4*l**4 + 0*l**2 + 0*l**6 + 2\/3*l**7 + 0*l**3. Find the third derivative of f(a) wrt a.\nAnswer: 1680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/630*(-35)\/(-168)*1134\/(-378).\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*h*x**2 - h*x + 244052*h - 806*x**2 + 1 wrt x.\nAnswer: -10*h*x - h - 1612*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 5*f + 3 = 7*l, 3 = 3*l + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = 5*g + b, 2*g - 7*b = -6*b - 18 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -4*d - 6. Let a be k(-2). List the prime factors of (-2)\/11 - (a + 1773\/(-11)).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 v when three letters picked without replacement from {v: 8, c: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101302332 (base 4) to base 8.\nAnswer: -216276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7707 = 1002*a + 473*a + 11127 + 32791 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d + 13*d = -44. Let b(l) = -l**3 - 6*l**2 + 5*l - 19 + l + d. Suppose -11 = 2*o - x, 3*o - 4*x + 36 = -9*x. What is b(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 65  (b) -0.3  (c) 5  (d) 1\/12  (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 641, 929, 1217, 1505?\n\"Answer: 288*t + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-700)\/5250)\/(2\/(-18))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gtwevveegdwgvteeve. Give prob of sequence dt.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 46 - (-8 + 6 + -1 - -19)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2470 is divided by 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r**(3\/2)*r**(-2)*(r**(-1\/3))**(-13\/3))\/(r*((r*r\/(r\/r**(10\/7)))\/r*r*r*r*r)\/r*r*(r*(r*r**(-4\/9)*r)\/r)\/r)**(18\/11) assuming r is positive.\nAnswer: r**(-1069\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (184\/6)\/(-4)*-3. Solve -g = 5*o + 15, -g - 4*g + o = q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7337.313 to 0 dps.\nAnswer: -7337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 3. Let c = -2 - w. Suppose j - 4*j = -12. Put c, j, 3 in ascending order.\nAnswer: c, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 21 = 8*y - 0*l, -7*l + 4*l = -15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 11:10 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 3 + 4)*(-78 - 7 + 33 - 133)*(-g + g - 6*g) to the form y + n*g and give n.\nAnswer: 2220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2317 and 50848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = c - 7. Let h be 735\/(-25) + ((-3)\/5 - -1). Let t = h + c. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -382975.339 to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 17  (b) -5  (c) 0.3  (d) -74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/15775 and -57\/3754450.\nAnswer: 3754450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5697730\/117 less than 48700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 5*b + 8. Let u(l) = -9*l - 15. Give 11*o(a) + 6*u(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 64997327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4340554230 to the power of 1\/3, to the nearest integer?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**2 + 418565910*l + 418565905.\nAnswer: 5*(l + 1)*(l + 83713181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 - 19*l**2 - 46*l - 34. Suppose -n + 39 = -2*h, -22*n + 27*n = 5. Let o be k(h). Round o to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x**2 - 5*x - 23. Let j = 38 - 31. Let z(h) = h**2 - 2*h - 12. Let a(c) = j*z(c) - 4*f(c). Calculate a(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -196*a**2*h*y**2 + 48*a**2*h*y - 2*a**2*y**3 - 761*a*h*y**3 + 8*a*y**3 + 14*h*y wrt a.\nAnswer: -392*h*y**2 + 96*h*y - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 999\/206 - -170\/103. Which is the nearest to -2?  (a) -2\/7  (b) h  (c) -2\/5  (d) 0.047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 + 8*i**2 - 7*i + 2. Let f be h(7). Let o be 3\/9*(-18)\/f. Let g = 10 + -6. Which is the smallest value?  (a) 0.4  (b) o  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 12 = 2*d - 5*b, 3*b + 18 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 36.9  (b) 4  (c) -2\/33  (d) 7  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*b**3 + 15*b**3 - 39*b**3 + 19*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.041 in 60, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 75206?  (a) -1  (b) -0.1  (c) 3  (d) 2\/7  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -70*x**2 + 5*x + 110. Let o be ((-34)\/68)\/((-2)\/12) + -15. Let r be a(o). What is r rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138213937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*n**4\/5 - 116*n**3\/5 - 38*n**2\/5.\nAnswer: -2*n**2*(n + 19)*(3*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -32064 * 0.01\nAnswer: -320.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 5, 2, -1820, -4.\nAnswer: -1820, -5, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - x**2 + 2*x - 3. Let s be k(2). Let f(n) = -n**2 - n + 35. Let m be f(s). Solve 1 + m = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -49652177\nAnswer: 198608708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 4*z - 14. Let n(g) = -13*g + 43. Let h(j) = 2*n(j) + 7*o(j). Let m be h(8). Find the second derivative of l + m*l - 2*l - 2*l**2 wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3309370\/387 smaller than 8550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -9*w + 19. Let c be n(-7). Let k = c + -163\/2. What is the second smallest value in -2, k, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from {s: 1, j: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**3 - p**2 - p. Let y be r(2). Suppose 2*c = -5*n + n + y, -22 = -2*c + 2*n. Let u be -5 - (3 + c\/(-3)). Which is smaller: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 AM and 9:24 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(425) + -5*(-3*sqrt(425) + sqrt(425)) - (sqrt(425)*1 + 1)) + -4)**2.\nAnswer: -500*sqrt(17) + 42525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 159, 224, 407, 768, 1367, 2264, 3519, 5192?\n\"Answer: 10*j**3 - j**2 - 2*j + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 + p**2)*(-3*p + 3*p - 3*p) + (217*p**2 - 21*p**2 + 16*p**2)*(0*p - 2*p + p) as h*p + b*p**3 + m*p**2 + f and give b.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28523, -114100, -256727, -456404, -713131?\nAnswer: -1026908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/3168 and 19\/211596.\nAnswer: 5078304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + 0. Sort s, 0.3, 0.2 in descending order.\nAnswer: s, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 192 - 243. Calculate the common denominator of -41\/6 and (178\/(-72))\/((-17)\/r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + -2)\/3*4 - -13. Suppose 5*c + 2*a - 15 = 0, 3*c + 0*c - r = -4*a. Factor 0*j**5 - 34*j**2 + 5*j**c - 6*j**4 + 34*j**2 + j**5.\nAnswer: j**3*(j - 5)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of -2\/9*c**3 + 0 + 1\/3*c**2 - 1\/45*c**6 + 1\/15*c**5 - 9*c + 0*c**4. Find u such that i(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 104 + -63. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 105332, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-103*m**2 - 2444 + 2444)*(-2*m + 0*m + 4*m).\nAnswer: -206*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 91*w**2 - 551*w + 3341. Determine a(-84).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 467958 divided by -23\nAnswer: -20346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((p + 2*p + 0*p)*(3*p**3 - 5*p**3 - 2*p**3) - 2*p**4 + p**2 - p**2)*(10 - 5 + 0) to the form x*p**4 + j*p + o + h*p**2 + q*p**3 and give x.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3767 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16.4566 + -0.1034. Round n to 0 decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-8) + (-45)\/(-504)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*n - 2*n + 2*n**3 - 8*n**2 - 7*n wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7853377 a multiple of 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, x: 3, y: 9, d: 2, j: 2, w: 3}. What is prob of picking 2 w and 1 x?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -445 - -450. Let t(s) = -s**2 + 11*s + 12*s - 2 - 20*s + 1. Calculate t(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 83.4 - 84.4. Let x be (-2)\/(-8) + 634\/(-8). Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {c: 1, u: 2, w: 1, y: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 503091 is divided by 74?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t - 17. Let a be r(15). Let x(s) = 5*s**2 + s + 2. Let b be x(a). Let l = 55 + b. Calculate the greatest common factor of l and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -158176819594246 - -0.4.\nAnswer: -158176819594245.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*-20*4\/(-1520)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3364\/9*a + 1\/9*a**2 + 2829124\/9 = 0.\nAnswer: -1682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.8 and 0.5.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + b = 0. Suppose a + a + 5*x - 22 = b, -16 = 4*a - 5*x. Let i be 12\/(-16)*a\/(-9). Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1768 is divided by 798?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 6\/11, -48219 in increasing order.\nAnswer: -48219, 0.3, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 318 - 537. Let x = o + 217. Let w = -173\/185 - -5\/37. What is the nearest to x in w, -4, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -47*o - 1548. Let z be m(-33). Solve -4*j + 2*w + 3*w = 11, z*w + 11 = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 + 31 - (25 - 18 - (1 + 19))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (6 - 5) + -12 + 26 - 2\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26704 by -8.\nAnswer: -3338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1355 - -20.258.\nAnswer: -1334.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 185, 369, 553, 737?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5 + 0)*(-4)\/(-5). Let s be (-5)\/(-2)*g\/(-45). Let k = 83\/392 - -8\/49. What is the biggest value in k, -2, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 642 or 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 15 = 0, 4*c - 3*q + 15 = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - 18*u**2 + 15*u + 62. Calculate the smallest common multiple of 39 and r(-19).\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of v**5\/20 + v**4\/6 + v**3\/3 - 3*v**2\/2 + 11*v + 2. Give s(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15637, -210, 1, 0 in decreasing order.\nAnswer: 1, 0, -210, -15637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 143\/20 + -147\/20. What is the second smallest value in -0.01, 2\/3, r, 54?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11111, -22216, -33321, -44426, -55531?\nAnswer: -66636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 24 - (-13 + 70) - -35\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 10, 0*n = -3*n + b - 86. Let a(l) = l**2 + 3*l + 1. Let m be a(-2). Let p be n\/(-4) + (m - 0). Solve -9 = 3*q + p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4 = 0, 2*l + q + 3*q = -20. Let i(b) = 28*b**2 + 6*b + 3. Let d be i(l). Let m be 3 + (404*d)\/(-4). What is m rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5 - 2 - (3 - 3). Suppose -9 = -0*i - j*i. Calculate the lowest common multiple of 5 and (-2 + (3 - i))*-4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 - ((-5 - -1) + (-18 - -20)) - 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*x = -80*x + 432 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -838 + 1558. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x. Let a(f) be the first derivative of f**4\/12 - 2*f**2 - 15. Let n(k) be the second derivative of a(k). What is -7*j(r) - 4*n(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w + 2*w**2 - 3*w**2 - 4*w. Let b be m(-4). Suppose 0 = -b*g - 0*g + 504. What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/408 and (12\/(-20))\/((-9)\/30) - 17316\/8160.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 18*l**2 + 21*l + 7. Let h(s) = 9*s**2 + 11*s + 3. Let v(x) = 5*h(x) - 3*o(x). Let z(r) = 17*r**2 + 15*r + 11. Calculate -11*v(n) - 6*z(n).\nAnswer: -3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - 0. Let h(p) = -p**3 - 8*p**2 + 47*p - 7. Let x be h(-12). Sort x, -8, j in increasing order.\nAnswer: -8, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28766?\nAnswer: 2, 19, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 378*w**3 - 2 + 449*w**3 - 2*w - 1365*w**3 as u*w + q*w**3 + m + k*w**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-160 - -168) + (11 - (10 - 19))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 90*p + 5604. Give t(-60).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -19717.\nAnswer: 3943.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2198.2 - -2198. What is the closest to w in -4\/7, 0.1, 2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 1 = 3*k + 6, 3*z + 17 = -k. Let q = 13 - z. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4449 + 6*b + 8797 - 493*b**3 - 4396 wrt b?\nAnswer: -2958*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*54.25355\nAnswer: -5.425355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.387497s to hours.\nAnswer: 0.0020520825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from snssssssssss.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3414*q - 11360. Determine x(-4).\nAnswer: 2296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 139017162 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xzzzzzxzzxz. What is prob of sequence zzxz?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g**2 + 3*g**3 - 2*g**2 - 4*g**3 + 3*g - g as v*g**2 + k*g + m + t*g**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 230 and 222880.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**2\/3 + 58*s\/3 + 841\/3 = 0.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 9:36 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5a29 (base 15) to base 12.\nAnswer: b110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3812635 or -3812636?\nAnswer: -3812636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3268442*s**2 - 3268442*s**2 + 13*s**3.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 350b - c80?\nAnswer: 255b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41118*o**3*q**4*x - o**3*q - o**3 + 2*o**2*q**2 - o**2*q*x + o**2 - 5*q wrt q?\nAnswer: -986832*o**3*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (96 + 9)*56\/12 is divided by 452?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(2) + 0 + 1 + sqrt(288))*4)**2.\nAnswer: 1664*sqrt(2) + 5664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -7*z - 63. Suppose 8*h - 174 = -38. Let x be n(h). Is -183 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 260*g - 253*g = 119. Solve 0 = 4*s - 3*j - g, -5*j = 8*s - 7*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 4\/((-24)\/3). Suppose 0 = 2*k + c + 7, 4*k + 3*c + 315 = 294. Sort k, r, -2 in ascending order.\nAnswer: -2, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -92a5 (base 12) to base 6\nAnswer: -201525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1561, 3145, 4755, 6391, 8053, 9741, 11455?\nAnswer: 13195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + 141\/9 - 5\/(-15). Calculate the greatest common divisor of p and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + 3. Let o = -322 + 320. Which is the third biggest value?  (a) y  (b) o  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 - 11*y**2 + 45*y + 168. Calculate g(-11).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 384 and 6862224?\nAnswer: 54897792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 5) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mw when two letters picked without replacement from {m: 6, y: 4, w: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -338*c**3\/5 - 460226*c**2\/5 - 56624*c - 43552\/5.\nAnswer: -2*(c + 1361)*(13*c + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -85, -175, -283, -403, -529?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -11 + 0*g - g - 6 + 2*g. Let c be i(8). Is (-2 + (-21)\/c)*111 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2283037, -9132063, -20547079, -36528085, -57075081, -82188067, -111867043?\n\"Answer: -2282995*a**2 - 41*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1666657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1858 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -106 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1330032113 (base 5) in base 3?\nAnswer: -20022210011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**3*p*x + 10300*a**3*p + a**2*p*x - 9*a**2 + a*p*x + 7*a*x - 15*p*x wrt a?\nAnswer: 12*p*x + 61800*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00065227388 to five dps.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 5, f: 2}. Give prob of sequence gggg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -200*n - 1823*n - 502*n - 1641*n as z*n + u and give z.\nAnswer: -4166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 290*b + 4*j = 288*b - 24, 12 = -4*b + 4*j for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*o**5 - 29*o**2 + 5*o**2 - 3*o**5 + 21*o**5 wrt o.\nAnswer: 900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 52 = l, -2*p = -l + 4*l - 26. Let x be p\/(-1)*2000*65. What is x rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-3*sqrt(95)*-1 - (sqrt(95) + (sqrt(95) - (sqrt(95) - (sqrt(95) - -2*sqrt(95)*1) - sqrt(95)))))\/(4*(sqrt(180)\/sqrt(3))\/sqrt(12)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*z + 354*z + 786 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 + 11. Let u(g) = -3*g - 2*g + h*g + 3*g. Let c(x) = -x. What is c(u(k))?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 8*m + 5. Let a(z) = 1 - 4*z + 3*z + 2*z. Determine -5*a(q) + c(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(4\/9)*w*w\/(w*w\/(w*w**(1\/3))*w)*w*(w**0)**7 assuming w is positive.\nAnswer: w**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4*w**2 - 5*w + 5. Let h(q) = q - 1. Let u(y) = y**3 - 21*y**2 - y + 16. Let o be u(21). Determine o*h(z) - d(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3830915 and 22.\nAnswer: 7661830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -0.4, 2, 10\/49, 1, -31?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 40 - 23\/5*y**2 + 1\/5*y**3 + 10*y = 0.\nAnswer: -2, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13700 (base 11) in base 2?\nAnswer: -100110000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1196 - p - 569 + 518.\nAnswer: -p + 1145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2499*k**2*v + 6*k**2 + 2*k + 18895*v wrt k?\nAnswer: -4998*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 4)*(92*o - 30*o - 803*o).\nAnswer: -2223*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -11 - -11 - (-1 + 3 - (37 + -14 + -18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 459 is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152) - (sqrt(152) - (-1*sqrt(152) + sqrt(152))*-1))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -50*k - 63 - 209 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -2*p + 3. Let j(v) be the second derivative of -v**3\/2 + 2*v**2 - 7*v. Give -4*j(s) + 5*l(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 30 - 9*o - 21 + 54*o**2 - 9. What are the prime factors of b(2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1209 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12236 - 22125.\nAnswer: -9889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19238.\nAnswer: 2, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -9 + 5 + 4 - 16*a in the form y*a + s and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/4))**50*(k*k\/k**(-9\/4)*k)\/(k*k**(4\/7)*k) assuming k is positive.\nAnswer: k**(-275\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2683 times 0.5\nAnswer: 1341.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 10:25 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24.99999988 - -25. Round f to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -16*n**2 + 1038*n + 37. Calculate s(64).\nAnswer: 933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39 - -65. Let x = l + -80. Let a = 94 + x. What is the least common multiple of 10 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -529 - 624 - 531 - 3*d**3 + 1936 - 252.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 2*t + 176 = 3*z, 4*z - 218 = 2*t. Suppose r = 119 - 117. Suppose r*w - 45 = -9. Calculate the remainder when z is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 34857, 21807, 8755, -4299, -17355, -30413, -43473?\n\"Answer: -h**2 - 13047*h + 47905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 163.85877 months to centuries.\nAnswer: 0.136548975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 8. Let q(s) = 160*s - 1118. Let g be q(7). Solve 0*b - 3*u - 6 = g*b, -w*u - 11 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**4 - 18*g**3 + 81*g**2 - 12*g - 108.\nAnswer: -3*(g - 2)**2*(g + 1)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9 - 1) + -2 + 4. Let c be j\/2*27\/(-12). Suppose -o = 2*b + 3*o - 142, -3*b - 3*o + 228 = 0. What is the greatest common divisor of c and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16356676*a**3*y**2 + 4*a**3*y - 66119*a**3 - 42*a + y + 10 with respect to y.\nAnswer: 32713352*a**3*y + 4*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.97 - -37.03. Which is the closest to -1?  (a) -1  (b) 1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 AM and 8:30 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -1\/12*u**4 - u + 0*u**3 + 0 + 0*u**2. Let p(i) be the second derivative of i**3\/3 - 6*i - 2. Calculate g(p(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2094 >= 2111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-176*l**2 + 176*l**2 - 381*l**3 + (2 - 7*l**2 - 2)*(2*l - 3 + 3))*(l**2 - l**2 - l**2) + (0*l + 0*l + l**4)*(-2*l + 0*l + l).\nAnswer: 394*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5604173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.4364715 centuries?\nAnswer: 0.04364715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -0*h + 75. Suppose -5*s - 5*b = -h, -2*s = -4*b - 2 - 28. Calculate the common denominator of -7\/8 and 5\/4*s + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -967 + 973 + (-32 - -1) - 10?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -3879.176 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.288545 rounded to 3 dps?\nAnswer: 6.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.35 + -0.15. What is the third biggest value in q, -0.4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-1*sqrt(99))\/((-2*sqrt(99))\/sqrt(11)) - (sqrt(11) + (sqrt(11) + sqrt(11)*3 + -1)**2 - ((1*sqrt(11))**2 + sqrt(11))*3).\nAnswer: -144 + 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 334051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 7.8, 9 in increasing order.\nAnswer: -11, 7.8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 149 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4706, 18819, 42318, 75185, 117402?\n\"Answer: -3*l**3 + 4711*l**2 + l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in 4, 15, -2\/9?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z**2 - 57*z**2 + 382*z**3 - 379*z**3.\nAnswer: 3*z**3 - 60*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9796 and 632.\nAnswer: 19592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s - 20*s**2 + 4*s.\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 5*t - 1. Solve 0*i - i = -t, -o - 23 = -5*i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzga. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 31802*l - 2. Let c be 4*(1 - 2) - -5. Let t be z(c). What is t rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-392)\/168)\/(1050\/36)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7248 and 6496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 6:45 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3008 by 937.\nAnswer: 3008\/937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25 + 37. What is the least common multiple of s and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z - 3*z + 0*z)*(6 + 10 + 8) - z + 0 + 0 + 0 + z + 0 + (-z + 0*z + 0*z)*(-1 + 3 - 4) + 3 - 3 - z.\nAnswer: -47*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 17500 = -5*u + r, -u + 8743 = -4*r. Suppose 3*c + u - 134457 = 2*k, 3*k + 9 = 0. What is c rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 64479, 64553, 64625, 64695, 64763, 64829, 64893?\n\"Answer: -o**2 + 77*o + 64403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - 55) + 12 + 3 + -8 - -19?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 462368, 462367, 462366, 462365?\n\"Answer: -u + 462369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4*f + 16 = 0, 4*k - 51 = -3*f - 39. Factor -1\/8 + k*o + 1\/8*o**2.\nAnswer: (o - 1)*(o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -45*u - 11. Let v be b(-6). Is v\/14 + (-2)\/(-4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, 12, 45, 90, 147, 216, 297?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8472 and 13414?\nAnswer: 160968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/27999 and 107\/24728302.\nAnswer: 667664154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + o + 8 = 0, -8 = -o - 3*o. What are the prime factors of ((-7)\/v)\/(-2 + (-75)\/(-36))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o + 2. Suppose a = 2 - 0. Suppose a*u = u + s - 3, u = -2*s + 9. Calculate the remainder when m(0) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*u**4 - 7*u**3 - 29998*u**2 - 1788827.\nAnswer: -12*u**3 - 21*u**2 - 59996*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 j, and 2 k when four letters picked without replacement from {j: 6, o: 2, v: 6, k: 3, m: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*c**2 + 16*c**2 + 9*c**2 as f + z*c + i*c**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from oooxxxxxxxxooooxooo?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 286*r**2 - 77. Let n(c) = 22*c**2 - 6. Suppose 0 = -4*l + m - 5*m - 48, 5*l - 5*m = 0. What is l*q(f) + 77*n(f)?\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = -12*o + 9*o - 30, -4*o + w = 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/303  (b) -90  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -10, -6, 16, 62, 138, 250?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 5*d + 25 = -0*w, 2*d = -5*w + 46. Suppose 3*i - 41 = 5*j, -2*i - j = -w - 41. Calculate the greatest common factor of 242 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 19177422 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 49309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -130086*a**5 + 656*a + 124 wrt a.\nAnswer: -2601720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 + 2*w + 67. Let z be (-2 + 1 + 1)\/(-3). What is the units digit of i(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8487, -33959, -76411, -135843, -212255?\nAnswer: -305647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*x = -16*x + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2826 by 1413.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 59 - -62. What is the highest common divisor of i and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 18715863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 + 5*w**2 - 15*w. What is z(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 196 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/6 - 8\/(-12). Let p(m) = m**3 + 4*m**2 + 2. Let c be p(-4). Suppose -b + 600002 = -z*h, c*b = 2 + 2. Round h to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 - -20. Let g(b) = -b**3 - b**2 + b + 1. Calculate the remainder when p is divided by g(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 17*u - 182. Calculate t(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 35360*h**5 - 67172*h**4 - 148608*h**3 + 268832*h**2 + 28672*h - 576 = 0.\nAnswer: -2, -2\/17, 9\/520, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 22 = -4*k, -5*n = 4*k - 2*k + 26. Calculate the remainder when 30 is divided by (-63)\/(-4) - (n\/8)\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in w**3\/6 + 49795*w**2\/2 + 298751*w\/6 - 746915\/2 = 0?\nAnswer: -149383, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11520 and 24000.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o + 26. Let q be f(24). Suppose 987 = 3*d + q*d - 4*u, -2*u = -4. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.2 - 0.7. Let u = x + 3.5. Suppose 3*j = 4*j. What is the nearest to 1 in j, u, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 89088540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (266\/(-931))\/((66\/6)\/(-231))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 22 - 34 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1076.07344 - 1076. Let h = 82.58656 + r. Let v = h + -82. What is v rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38438037.\nAnswer: 3, 11, 17, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pmm. Give prob of sequence pmm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*v + 24*v + 540. Is (3*(-15)\/v)\/((-2)\/(-132824)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8846782 divided by -8846782?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 29*y + 66. What is the remainder when u(0) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 113999920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -4) + 4 + (-21 - -33) - (-37 - -189)?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) 1\/45  (c) -5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -8*x**2 - 13*x - 12. Let m(u) = -6*u**2 - 14*u - 10. Let g(j) = -3*m(j) + 2*p(j). Let n be g(-8). Solve 9 + n = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-16))\/(6\/60)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2 and 1609240.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17234009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in -0.3, -59, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12 in -2\/5, -46, 0, -0.38, 7\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -9105, -18213, -27319, -36423, -45525, -54625?\n\"Answer: m**2 - 9111*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 3:58 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1002932 divided by 98\nAnswer: 10234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-13)\/156)\/(-3 + 4\/32). Which is the third smallest value?  (a) -2\/19  (b) x  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**5 + 167468*n**4 + 7009707876*n**3 - 140244401920*n**2 + 701305753600*n.\nAnswer: n*(n - 10)**2*(n + 83744)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -90.892 + 83.43. Let p = s + 0.062. Let n = p + 8. Round n to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*j - 4*j - 16*j - 2*j**2 - 28)*(4 + 2 + 57).\nAnswer: -126*j**2 - 126*j - 1764","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2 + -0.3. Let f be 12\/(-588)*2*7. Which is the nearest to f?  (a) o  (b) 1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*5*((sqrt(1584) + -3)*4 + sqrt(1584) - -4*(sqrt(1584) + 4))*-2*-4.\nAnswer: 800 + 21600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.5037597163 minus 0.02?\nAnswer: 24.4837597163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 486*f**5\/13 - 16308*f**4\/13 - 24798*f**3\/13 + 7276*f**2\/13 + 24384*f\/13 + 8960\/13 = 0.\nAnswer: -8\/9, -2\/3, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - 13*z + 2 = -8*z - 2, 9*c - 4*c = -3*z + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 60 - 24 = 0. Let l = -33 + v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 times -224274\nAnswer: 4709754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 9 = 2*g. Let b(t) = 2*t + 12. What is b(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - (0 - -1))*16. Calculate the greatest common divisor of 176 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p - 1. Let n(k) = -k**2 + k + 3. Suppose -3*y + 73 = 4*o, 2*y + 111 = 7*y + 4*o. Suppose 0 = -16*d + y*d + 6. Give d*i(g) - n(g).\nAnswer: g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.681801 millennia to months.\nAnswer: 8181.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (84\/(-36))\/(28\/(-32))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8673900811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5780.633 rounded to the nearest 10?\nAnswer: -5780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zhaw when four letters picked without replacement from aahzzbwzhaazzzaaezw.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -382*h + 5610 = -157*h + 367*h + 282 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 91 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 161409*t**4 - 2*t**2 + 47214.\nAnswer: 3873816*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/q**(2\/33)*q\/q**13*q)**(1\/7)*((q\/q**(-4))\/(q**(-8)*q))\/(q**4*q*q**(-7\/3)) assuming q is positive.\nAnswer: q**(619\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 5:02 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/6 + 10\/15 + 25. Let a(o) = -5*o + 0*o - 8*o + o + h + o**2. Let w be a(10). Let q(c) = c**3 - 5*c**2 - 3*c + 1. Give q(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2002876?\nAnswer: 2, 500719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + k**2 - k - 2. Let o be u(-2). Let r be (16\/o)\/(5\/(-3)). What is the closest to -1 in -2\/19, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13711, 54864, 123449, 219466?\nAnswer: 342915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*f, -3*n - 5*f - 28 = -5*n. Suppose a + a = n. Which is smaller: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 49\/437?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -3075.\nAnswer: 1\/1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of 0*h**2 - 29*h + 0*h**3 + 1\/6*h**4 + 0. Let q(c) = 8*c + 2*c + c. Give r(q(d)).\nAnswer: 242*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 7:25 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1360*c + 1393*c - 119*c.\nAnswer: 2634*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/10192 and 149\/24664640.\nAnswer: 24664640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to -696\/919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 5*x**2 - 25*x + 58. Let a be w(16). Let q = a - 289. Calculate the highest common divisor of 59 and q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0557009+-0.066\nAnswer: -0.1217009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0656057371 rounded to 4 decimal places?\nAnswer: -0.0656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 1 = 0, 4*a + 3*k - 17 = -0*k. Suppose -a*o + 21 = 6. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*3)\/((1485\/(-99))\/((-6)\/(-8)))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 68\/32 + 7\/(-56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 2\/45, -0.5, 11672?\nAnswer: 11672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 128560\/360 + (-2)\/18. Calculate the greatest common divisor of 51 and q.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -2*z, 8535*z - 6 = 8533*z + 4*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 AM and 1:50 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 27 = 9. Let s = 9 + f. Calculate the remainder when s is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-9)\/(-1170)*-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-92)\/(-54)*3)\/(113\/((-25425)\/(-50)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**3 - 4*o**2 + 3*o - 2. Let q be 179\/(-4) - 2\/(-16)*6. Let z = 46 + q. Give p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -184 - -187. Suppose y*s = -5*c + 586, -3*c + 340 = -3*s - s. Calculate the lowest common multiple of 28 and c.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 + 0 - 1) + -2. Let q be (-3)\/2*a\/1. Suppose -44 = -5*k + q*k. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -194*u + 8040 = -182*u. List the prime factors of u.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 9*o = -14*o - 9, 5*o + 2 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8.2 in 0.3, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.057 and -1228160.\nAnswer: -1228159.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (2\/165)\/(-3 + (-1152)\/(-387)) and -79\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 12) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z. Let j(c) = -c - 3. Let p be j(-4). Let f(n) = 4*n**3 + n**2 - 3*n. Calculate p*f(h) - 3*l(h).\nAnswer: 4*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -4 + (-1 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = o - 0*o. Suppose -56 = -0*f - o*f. What is the highest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32178 divided by 62\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 186*i - 758 = -5036 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -891*y - 12404 = 467*y + 12040 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 144641242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 8 - 4 = 0. Let d be (-2 + 3)*(y + -524). Is (-3)\/4 + d\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-5\/2)*r**20 assuming r is positive.\nAnswer: r**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 221  (b) -0.5  (c) 3  (d) -1218  (e) -1\/3  (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -251 - -268. Is (4\/(16\/(-3)))\/(i\/(-221068)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -210 at most -209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 4*i = 9*i - 135560. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 - 5*y - 12)*(-y**2 - 4*y + 3*y + 4*y - y**3 + (3*y - y**2 - 3*y)*(-y - 26*y + 20*y)).\nAnswer: -30*y**4 + 5*y**3 - 15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*((-966)\/(-84))\/((-10)\/(-4)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 184*h**3 - 1465*h**2 - 27*h**3 + 2 + 1465*h**2 in the form x*h**2 + p*h + z + n*h**3 and give n.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 - (13 - -22)) + 11 - (-1 + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170)*2*-6)\/(sqrt(160) - (sqrt(160) - 2*sqrt(160))))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of 0*t**2 - 2\/3*t**3 + 0*t + 1. Let v(j) = -j - 1. Let s(h) = 3*h + 4. Let l(k) = s(k) + 4*v(k). What is l(w(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 144787807 less than or equal to 144787811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 AM and 11:24 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i**(1\/2)\/i)*i*i*i*(i*i*i\/((i\/(i**(6\/11)*i*i))\/i)*i)\/i)**(-17\/3) assuming i is positive.\nAnswer: i**(-1377\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -t, 2*f + 4*t - 171 = 133. Solve f*g = 136*g - 120 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p**3 - p**3 + 0*p**3 + (0 + 0 - 2*p)*(-330*p**2 - 410*p**2 + 108*p**2).\nAnswer: 1263*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 7 = -s, s + 3*w = -w - 5. What is the remainder when 400 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 5 - 7 = l. Suppose 0 = -5*a - 2*u + 171 + 34, a - 41 = 3*u. Solve l*h - 2*v = -18, h + 5*v + 18 = a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -22.968 to one dp.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 - -4. Suppose 2*z + 50 = -5*j, -5*z = -4*j - 2*z - 40. Let l be (18\/m)\/(3\/j). What is the highest common divisor of 132 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -390?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 8 + 12)*(5*g + 16*g + g).\nAnswer: 242*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.16 times -893?\nAnswer: -17109.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 733646 is divided by 311.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -6 - 2. Suppose 0 = 2*x - 8, v = 2*z + 2*x - 4. Solve c = -z*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = -2*w - 4, 36*w - 35*w - 4*z = -14 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 720 - 719. What is the biggest value in 0.4, s, -2, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 35*s**2 - 10*s + 33. What is the tens digit of b(36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.097 - 0.09643. What is a rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*z + 11 + 52 + 91 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 4) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(1\/3))**27\/((f**(-1\/6)\/f)\/f*f**(-5\/6)))**(2\/57) assuming f is positive.\nAnswer: f**(8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 716 - 1040. Let q = 245 + b. Is q less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1737*o**2*t - 5309*o**2 + 23937378*t wrt o?\nAnswer: -3474*o*t - 10618*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3175 + 0.565521?\nAnswer: -3174.434479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + 846. Let u be a(0). Suppose -5*y - 1440 = -5*q, 3*q - 8*y - u = -11*y. What is the greatest common divisor of 190 and q?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2565 and 515532.\nAnswer: 512967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 339 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 424.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o**2 + 39827*o**3 + 39771*o**3 - 79599*o**3 + 0*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*g**3\/7 - 28*g**2 + 1005520*g\/7 + 1005712\/7 = 0. What is g?\nAnswer: -526, -1, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -30 + 16. Let s be (-5)\/(-5) + y\/10. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157067441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-12))\/(540\/(-648)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -51 + 407. Let x = 528 - o. Suppose 4*z + x = 4*i, -128 = -3*i - 0*i + 2*z. 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: Suppose -2*m + 5*m = 2*n + 13, -m + 5*n = 0. Suppose 8 = 2*h - 2*t, h + 4 = -m*t + 26. Sort -4, 5, 3, h in increasing order.\nAnswer: -4, 3, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m - 11 = -51. Solve 0 = m*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7 - 4*1\/2. Suppose -j = -2*v + 1. Let z(r) = 4 + 6 + 5*r + 11 - 3*r - 20. Determine z(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*g - 6 = 0. Let z(p) = p + 17. Let k = 19 + -32. Let a be z(k). Solve g*f - v = 12, 4*f - 21 = f + a*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -3*m + 44, -g = 2*m - 12 - 19. Calculate the greatest common divisor of 6 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 AM and 1:40 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -2 - 2) + (-1 - 10 - -39)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 7, -45, -6 in descending order.\nAnswer: 7, 5, 1, -6, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 8  (b) 4\/7  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 31*p**2 - 26*p + 8464 with respect to p.\nAnswer: 62*p - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-3 - -4 - 3) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in thirty-one halves of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.061 - 0.068. Let o = 0.007 + g. Let v = 0.1 - 0.05. Is v less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 66*x**2 - 3*x - 586. Determine p(66).\nAnswer: -784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of b**8\/4032 - b**7\/1008 - b**6\/24 - 3*b**5\/4 - b**2 - b. Let y(i) be the third derivative of k(i). Factor y(q).\nAnswer: 5*(q - 3)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from zzwzwzzwwzwzzzzzzz.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 76, 154, 244, 352, 484, 646?\n\"Answer: o**3 + 71*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 18\/(-15)*2\/3. Is 0 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -20489 at most as big as -14984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 307 = -5*u - 98. Let q = u + 76. Which is greater: -6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -p**7 - 20*p**3\/3 - 3*p + 3. What is the second derivative of t(g) wrt g?\nAnswer: -840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*n - 2*o - 16, 5*o - 303 + 330 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(153) - (sqrt(153) + sqrt(153)*3)))\/(-1*sqrt(18)\/sqrt(2)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 2*k = -6, -5*k - 10 - 5 = -3*b. Let h = -2094919\/8 + 261865. Determine m so that b - 3\/8*m - h*m**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -333624 or -333625?\nAnswer: -333624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -32532 bigger than -32680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 5*m + 121 = 34, -5*h - 3*m - 47103 = -47426 for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10177\/670 + -151\/10. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of l**7\/42 - 3*l**6\/10 + 31*l**5\/20 - 17*l**4\/4 + 20*l**3\/3 - 6*l**2 - l. Determine u, given that v(u) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 160 and 95790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 - 15*h - 8. Calculate m(-9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/18 - (-4 + 55 + (-169274)\/3276).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10665761599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 261937645 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: Simplify (3*((sqrt(175) - (sqrt(175) + 1) - sqrt(175)) + 1) + -1 + sqrt(112)*-5 + -2 + sqrt(70)\/(-1*sqrt(10)) + sqrt(28)\/sqrt(4) + -4)**2*3.\nAnswer: 1470*sqrt(7) + 25872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 155147.5 nanometers?\nAnswer: 0.0001551475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2*d**3 + 166*d**2 + 3000*d + 9965. What is z(-59)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*k + 78*k - 67110400. What is k rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.06  (b) 0  (c) 2.9  (d) -2\/3  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2 - 3192*l + 3188.\nAnswer: 4*(l - 797)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 19842320 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: Suppose 2*a = -4*d + 27 + 35, -4*d + 4*a = -80. What is the remainder when d is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 315962856.\nAnswer: 2, 3, 11, 19, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 2 v, and 1 y when four letters picked without replacement from {y: 2, k: 1, a: 1, v: 2, s: 1, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(540)*2)\/(sqrt(20)\/(sqrt(144) + (sqrt(144) - sqrt(144)*1)))*4 + 4.\nAnswer: 4 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 4 - 3*b)*(6*b + 89 - 182 + 91) to the form d*b + s + r*b**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y. Let o(c) = c**3 + 8*c**2 + c + 4. Let w be o(-8). Let m = -9 - w. Determine z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + -1 + 3 + 2 + -3.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of -4*m + 2 + m**2 + 1\/4*m**4 - 2\/3*m**3. Let s be v(3). Solve 4*h + s = -5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53 = 3*p - 5*d, -19806*d + 5 = -19807*d for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2083 + 3116. Let f be -1*(-2 - r - 2). Suppose 0 = -5*n + 5, -824 - f = -2*y + 5*n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*t + 15*t + 2*b - 4, -2*b - 10 = 0. Let q be (-2)\/4 + (-5)\/(-2). Solve 0 = 2*k - q*o - 2, -4*k + 3*o + 0*o + t = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 18*f**2 - 10*f - 7. Is a(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of -937*z**2\/2 + 54*z + 303. What is the units digit of m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 PM and 2:55 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -166, -143, -116, -85, -50?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + (-3 - -3) - 9) + (47 - 44)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - (1073 - -1)\/(-1). Let d be (-2)\/2 + 1106\/h. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5275 times 0.3?\nAnswer: -1582.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 5*s = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 941\/18604 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.2 or -616?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 0.10956, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 58554 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, q: 3, i: 4}. What is prob of sequence qq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2183 is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -73 + 75. Find the first derivative of -44 - n*h - 91 - 21*h + h**2 + 4*h wrt h.\nAnswer: 2*h - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o - 12. Let j be k(-8). Suppose -z + 2*u + 7 = 0, j + 11 = -3*u. Let v(x) = -17*x**2 - 124*x - 39. Let a be v(-7). Put a, z, 3 in ascending order.\nAnswer: a, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11274678 to the nearest integer?\nAnswer: 3358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/28 equal to 1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 113, 1\/4, 11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 26, 39, 52, 65, 78?\n\"Answer: 13*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1957456253?\nAnswer: 307, 6376079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 254552985\nAnswer: 254552988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 4 + 6 + 6*i**3 - 5*i**3. Suppose d = -d. What is the units digit of p(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18933738347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 10:30 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 65678634 divided by 727?\nAnswer: 90342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 90 + 106 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35895 = -32*n + 31529. List the prime factors of n.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-144)\/1007 + 0 + 20466\/194427.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 + 3.9. Let i = t + -4. Let s = i - 0. Is s at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/155, 0.4, 1.8138?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -3*j + 39, -j = a - 0*a - 11. Suppose -48 = j*w - 20*w. Calculate the lowest common multiple of w and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*q - 62*q + 19*q + 2*q**3 - 62*q - 7 - 53*q in the form z*q + y*q**2 + f*q**3 + d and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/13, 0.4, -2, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -86, -10, 12, 0.1, -0.5, 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3 + 3*m + 2*m**2 + 0 - m**2. Suppose 0 = -t + 8 - 1. Suppose 2*x = -h - t, 2*h + 2*h = x + 8. Calculate w(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*-0.08627378\nAnswer: 0.34509512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 65 = -4*j + 565, 5*j + 5*q = 795. Calculate the least common multiple of j and 27.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(3\/(-3 - 0)). Let h be (1 + -9 + 5)*g*3. Let p = 17 - h. What is the remainder when 20 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5891 divided by -181?\nAnswer: -5891\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 64*f + 30*f + 31*f + 3*f - 3*f + f + (2 + 2*f - 2)*(-1 + 0 + 2) + 2 + 2*f - 2 + 108 - 108 + 18*f.\nAnswer: 20*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*q**2 + 9*q - 9*q in the form h*q + z*q**2 + j and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.44 times -2?\nAnswer: 32.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2221.8573 months to decades.\nAnswer: 18.5154775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.490842 kilometers to centimeters.\nAnswer: 249084.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o\/(o*o**4))\/o*o*o**(-2\/3))**(8\/3)*(o\/o**(2\/9)*o*o**(8\/3))**29 assuming o is positive.\nAnswer: o**(1072\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 13930.2849 hours?\nAnswer: 82.9183625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*p + 7 = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -6700, -13384, -20068?\n\"Answer: -6684*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 + 6*x + 8. Suppose 0 = -5*f + 4*s - 0*s + 36, 0 = -3*f - 4*s + 28. Suppose -2*o + 22 = f. Let v be m(o). Solve v = -a - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*u**4 + 5*u**5 + 3802*u - 398*u**4 + 4*u**5 + 1129*u - 940*u wrt u.\nAnswer: 180*u**3 - 4776*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((11\/15)\/(-11))\/((-1564)\/69 - -24)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 + 33. Suppose -5*a + 240 = -t*a. What is the highest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1766, -3297, -4828, -6359, -7890, -9421?\n\"Answer: -1531*y - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**18*l)\/l*l**(-12\/11)*l*((((l*l**19)\/l*l)\/l)\/l)\/((l**(-6)*l)\/l) assuming l is positive.\nAnswer: l**(461\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -5. Suppose -6*p = -o*p - 100. Let h(a) = -a**3 + 4*a**2 + a - 3. Calculate the remainder when p is divided by h(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -195 = -4*s + 3*s. Suppose 2549 = 8*h - s. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/24444 and -10\/2271?\nAnswer: 18504108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 0 + 5 = -5*d, 5*x - 5 = -5*d. Suppose x*k + 36 - 166 = 0. Suppose -k = -7*u + 2. Solve 2*q = -5*p + p - 20, u*q + 4*p + 24 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 14d - -2?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 + i**2 - i. Let j(s) = -s**2 - s - 1. Let m(p) = -6*j(p) - k(p). Is m(6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*b + 3*b + 8*b + 3*b to d*b + m and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1467, 2784, 3953, 4974, 5847, 6572, 7149?\nAnswer: 7578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 86*k + 2. Let w(m) = 32*m. Let z(b) = 78*b. Let t(l) = -5*w(l) + 2*z(l). Give t(n(p)).\nAnswer: -344*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/282 and -37\/10.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -32, -69, -130, -221, -348, -517?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 2*b = 2*j - 14, -4*j - 5*b = -30. What is the third derivative of s**2 + 10*s**2 - s**2 - 8*s**2 + 16*s**j wrt s?\nAnswer: 960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -111691, -112632, -113573, -114514?\n\"Answer: -941*q - 110750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94182*t**3 + 23539*t**3 + 23545*t**3 + 23547*t**3 + 23539*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -63*p + 56*p - 21*p**2 + 141*p**2 + 7*p + 13*p**3 in the form v*p + u*p**2 + k*p**3 + x and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5 + 4 = 0, 4*l = -3*a + 70. Let n(h) = -35*h + a*h + 12*h. Let i(g) = -6*g - 4. Give i(n(y)).\nAnswer: 6*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 53439358*c**5 - 2443146*c**2 - 10 wrt c?\nAnswer: 3206361480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 20311.482ns in minutes?\nAnswer: 0.0000003385247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + z + 7. Let x be k(-4). Let i = 23 + x. Solve -3*y - 2*n - i = -3*n, 5*n = -4*y - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0, -1\/7, -811?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 403 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 150 and 12225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16 - 18. What is the closest to -0.1 in -3, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + 5 - (-7 - -23).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 204 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 2015*u**3 + 40*u**2 + 80*u + 1325. Let i(s) = -155*s**3 - 3*s**2 - 6*s - 102. Let r(j) = 3*d(j) + 40*i(j). What is the derivative of r(t) wrt t?\nAnswer: -465*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -128742 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + 0. Let d be ((-6)\/(-4))\/((-7)\/(-210)). What is the highest common factor of k and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*d**3 + 3*d**3 - 22*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.9 + -0.74. Let m = -6432 - -6431.84022. Let r = h + m. Round r to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 45 and 5*(48\/4 + 15).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z - 6. Let g = -6 + 8. Suppose g*j + 15 = -j. What is a(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 + -11. Let f(u) = -u**3 + 4*u**2 - 5*u + 2. Let k be f(2). Suppose l - 45 + 5 = k. What is the greatest common divisor of l and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*y**2 - 53*y**2 - y**2 - 1276 + 1276.\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 6. Suppose 3*q = -w*k + 26, -3*q = -8*q + 5*k - 15. Let d(z) = 3*z - 2. Let h(c) = -7*c + 5. What is q*h(s) + 5*d(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 895 by -5.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of r**7\/840 - r**6\/120 - r**5\/40 + r**4\/8 + 2*r**3 + 4. Let t(c) be the third derivative of p(c). Calculate t(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000090414 rounded to seven dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 1826*i**2 - 912*i**2 - 877*i**2. Let z(b) = -5*b. Calculate w(z(g)).\nAnswer: 925*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p + 25. Determine m(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 4*s - 4. Give a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 26 divided by 26\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15.14 - 15. Let c = 1.34 - 1.34. Is p at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-1 + 4 + -3 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2206, -4407, -6608, -8809?\n\"Answer: -2201*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -64 + 91. Calculate the remainder when 51 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.237 - 0.037. Let v = -2.5 + q. Let f = v + -1.65. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112992\/5984 + -93 + (-4)\/(-10)*5\/17?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 160 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/1 + 0)*(-8)\/(-6). Suppose -11*z + 17135 = 5*j - k*z, -5*j + 17135 = -3*z. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of 1\/3*r**3 - 1\/2*r**4 + 0*r**2 + r + 3\/10*r**5 - 1\/15*r**6 - 46. Let u(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3 and 205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 4:34 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)\/sqrt(96) + -3)**2 + 3 + -3.\nAnswer: -3*sqrt(2)\/2 + 73\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16812, -16814, -16816?\nAnswer: -16818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.5 - -3.6. Let v = -0.1017 + g. Round v to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1228\/(-22)*(-3 - -1). Let w = -10781\/88 + a. Let o = 64435\/18 + -3576. What is the common denominator of w and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y = y. Let c = y + -5. Let k(a) = 9*a - 7. Let h(d) = 4*d - 3. Calculate c*h(x) + 2*k(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q, 1 j, and 1 c when four letters picked without replacement from {j: 3, c: 6, q: 9, p: 1}?\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 340*r**2 + r + 2. Let f be b(-1). What is the greatest common divisor of 93 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 6, 3\/5, 76\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**4 - 2945*b**3 - 35027*b**2 + 495257*b - 1231860 = 0. Calculate b.\nAnswer: -2933, -21, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 91588781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 174*q + 5. Let o be k(1). Let s = o + -88. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3036 and 408780?\nAnswer: 103421340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -2639\/4 greater than -659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p + 1. Let g(m) = -2*m - 1. Let l(j) = -5*g(j) - 6*t(j). What is l(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(63)\/sqrt(9)*-4 - sqrt(7)) + -2)**2.\nAnswer: 20*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - -7. Suppose -z - 3*p = 9, 3*z + 5*p = -y - 1. Let d(t) = 5*t - 4. What is the remainder when d(3) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2044 * 0.34.\nAnswer: 694.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -245*y**3 + 2*y**2 - 4*y - 5. Let z be m(-1). Calculate the greatest common divisor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dtmddaddddddaadtaad. What is prob of picking 2 a, 1 d, and 1 m?\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -39.8621 + -0.0379. Let g = r - -56. Let t = -16.100113 + g. Round t to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 272 + 5724?\nAnswer: 6216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 114, -811, -3330, -8241, -16342, -28431?\n\"Answer: -133*z**3 + z**2 + 3*z + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 114 and 76?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*s + s**4 - s**4 - 2*s**3 + 2*s + 3*s**4 as t*s + w*s**3 + x*s**4 + o*s**2 + c and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/3032 and 43\/4548.\nAnswer: 9096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -0.2  (b) 3\/5  (c) -2  (d) -1048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 1238*p - 21051. What is m(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 787  (c) -19748\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -0.7554872.\nAnswer: 3.0219488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.22*6.\nAnswer: 7.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 121*s + 11*s + 70*s - 44*s + (-2*s - s + s)*(4 - 1 - 2).\nAnswer: 156*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v. Let x(k) be the third derivative of 11*k**4\/24 - 2*k**3\/3 + 24*k**2. Let n(s) = -21*s + 7. Let z(j) = -4*n(j) - 7*x(j). What is z(a(c))?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5061615, -5061632, -5061651, -5061672?\n\"Answer: -o**2 - 14*o - 5061600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.4 + -9.6. Let b = 0.32 - 13.82. Let r = i - b. What is the third biggest value in -5\/4, 2\/9, r?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186815 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -3140404?\nAnswer: 1256161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -3. Let k(r) = 37*r - 3. Let w be k(v). Let f be (96\/w)\/((-3)\/(-2)). Are f and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 2*a - 3*g, -a + 162*g = 158*g - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -543*i**2 - 2321*i**2 - 1742*i**2 + 1182*i**2 - 909*i**2 to the form t*i + h*i**2 + a and give h.\nAnswer: -4333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6150, 7183, 8216, 9249?\n\"Answer: 1033*u + 5117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222 is divided by 5*(3 - (4 - 10))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -3*r**2 + 2*r. Let j(f) = -3*f**2 - 6*f + 5. What is 3*a(b) + j(b)?\nAnswer: -12*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 5*w - 5 - 4 = 0, w + 3 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2424449.7 months?\nAnswer: 202.037475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/((-63)\/12))\/(((-1088)\/(-12))\/8)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6714176 and 1176?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 13 = c, 0 = 3*c - c - j + 1. Put c, -9, 1 in increasing order.\nAnswer: -9, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50.968 * -0.0693\nAnswer: 3.5320824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 59*n**2 + 104*n**6 + 72*n**6 - 116*n**6 wrt n?\nAnswer: 7200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**2 - 5*k**2 + 13*k**2 - 3*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4313343 is divided by 4108?\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (40 + -41)\/(12\/3). What is the nearest to 0.1 in d, -4, 3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*i**4\/5 + 173532*i**3\/5 + 3773133*i**2 + 528161202*i\/5 - 34153488\/5 = 0. Calculate i.\nAnswer: -1752, -57, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 31 and 52421?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {z: 5, l: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -503 - -1272. List the prime factors of n.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 655 is divided by 162.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 + -2 - -7) + (2 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2 - g - 1 + 0. Let a be ((-3)\/(-2))\/((-3 - 2)\/(-10)). Give v(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-2*(sqrt(325) + 1 + sqrt(325)))**2.\nAnswer: 2880*sqrt(13) + 187344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 6*r = 72. Let l be r - (-5)\/(5\/2). Suppose 5*t - 128 = -l. What is the smallest common multiple of 3 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttttltltt. Give prob of picking 2 t.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.0865 + -0.3865. What is the second biggest value in 0.002, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1611*a - 61207 = 19343 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 77 - 72. What is the biggest value in 0.4, 0.07, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 19. Let f = -16.4 + r. Let n = f + 5.399973. What is n rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 164701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(2*sqrt(539) + -3)**2 + 5.\nAnswer: -8655 + 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 + 5*y - 19. Is l(5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 4\/11  (b) -1  (c) -0.1  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -67.009666 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77, -53, -27, 1, 31, 63?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - 1. Suppose 104*g + 5 = 99*g. Let o(q) = -2*q**2 - q + 2. What is g*o(u) - 3*l(u)?\nAnswer: -u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25920\/(-7200)*10\/(-126)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 64*u**2 - 311*u - 6. Suppose -4*o - 2*l = -32, -3*o = -l - 3 - 11. What is the remainder when v(5) is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 292399*c**3*k**2 - 8*c**2*k**2 - 2*c**2*k + 35*k + 135 wrt c.\nAnswer: 1754394*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29 + 25. Let s be -3 - 8\/(x + 6). Let k = 16 + s. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 8 = 3. What is the highest common factor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 8463, 8461, 8459, 8457?\n\"Answer: -2*x + 8465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(1300) + 2)*1)**2.\nAnswer: 60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 8, 4599, -5 in descending order.\nAnswer: 4599, 8, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*o - 2*h + 915749996 = -48*o, -3*o - 5*h + 549449990 = 0. What is o rounded to the nearest 1000000?\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3)*(-1 + 40 - 23 + 45)*(2*b**3 + 21*b**3 + 9*b**3).\nAnswer: 3904*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h, -2*t - 4 = 757*h - 760*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, r: 8}. What is prob of sequence rr?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 17447 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -993.94 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97 = -w - 94. Solve -11 = -2*j + 3*h, -j + 16 = -w*h - 2*h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20064435617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*d + d. Let v = d - 1. Solve v = c + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 42 in decreasing order.\nAnswer: 42, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eslslsseeeeeszsssees. Give prob of sequence ss.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n + 4. Let x be r(-7). What is the smallest common multiple of 5 and (-4 - x) + 2 + 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*a = -54 - 30. Suppose -4*v = a*o - 32, -5*v + 3*o + o + 4 = 0. Solve v*b = 3*q - 8, 3*q = 5*b + q + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 716 and -2302.55.\nAnswer: -1648625.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -6*d - 17. What is the closest to 6 in -0.3, 2\/21, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -185694.4 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 - 11*r**2 - r - 7. Let n be z(-11). Let d(u) = u + 4*u**2 - 2 - 3*u - 3*u**2. What is d(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2735553222 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*k = -3*j + 40, -2 - 3 = k - 4*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 93447 and 124596?\nAnswer: 373788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-7 - -1)\/(4\/(-2)). Suppose -80 + 227 = p*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - 8*w**2 - 9*w - 6. Let p be g(9). Let u = p + 11. Differentiate -4 + l**2 + u + 0*l**2 with respect to l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2043, 4685, 8529, 14175, 22223, 33273, 47925, 66779?\nAnswer: 90435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0006214 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*f = -24*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 337553*a**3*l**3 + 300406*a**3*l**2 - 68*l**3 - 254*l**2 wrt l.\nAnswer: 2025318*a**3 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 2, 1\/15, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 2520 = 16*p. Let z = -167 - p. List the prime factors of z.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 9*i**2 - i + 4. List the prime factors of p(2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 - 192*w - 283. What is the units digit of o(-37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + -46. Let b = m - -49. Let l be (-6)\/36 + 75\/b. Calculate the highest common divisor of l and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7591298822?\nAnswer: 2, 3795649411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of -b**7\/180 + b**6\/360 + 7*b**5\/360 - b**4\/72 + 5*b**2. Find u, given that o(u) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 730 = 4*l - 790. What is the highest common divisor of l and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 11 = l. Suppose 0*r - 49 = 7*r. Let p = l - r. Put -0.5, p, 0.2 in ascending order.\nAnswer: p, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(84) + (sqrt(84) - (sqrt(84) - -1*sqrt(84)))) + sqrt(84) + sqrt(84) - sqrt(84))\/(-1*sqrt(1200)) - (sqrt(63) + -2 + -1*sqrt(112) + -1).\nAnswer: 9*sqrt(7)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -102 + 34. Let i be (16\/(-9) - -2)\/(18 - o). What is the closest to 2\/7 in i, -0.2, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2328 divided by -776.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36, 107, 210, 333, 464, 591?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (25\/15 - 1)*-6. Let o(x) = -2*x**3 + 5*x**2 + 4*x. Let l be o(c). What is the tens digit of 1 - (l + 0)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1468460\/6069 + -242)*(1\/2)\/((-1)\/(-12)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2*m + 3*m - 4*m. Let p(l) = -12*l - 6*l + 17*l. Calculate b(p(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -555*h - 791*h + 381*h.\nAnswer: -965*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of g**3\/3 + 3*g**2 - 5. Let r be j(-7). Which is smaller: r or 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2893 + -5309. List the prime factors of (5\/2)\/((104\/p)\/(-13)).\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10105*t**3 + 20269*t**3 - 8 - 10167*t**3 - 13 + 21.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*o**4 - 183*o**3 + 260*o + 11 wrt o.\nAnswer: 84*o**2 - 1098*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**12\/l)\/l)\/(l**(-20)\/l*l)*(l*l*l**9)**(1\/14))**(-2\/13) assuming l is positive.\nAnswer: l**(-431\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 127 - 74. Let n(y) = -2*y**3 - 7*y**2 + 38*y + 140. What is the remainder when u is divided by n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 448 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1242*y + 23 = 2*n - 1245*y, 5*y + 615 = 61*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 11 + 5 = 0, -3*y = -3*w. Suppose 3*t = 5 + w. Suppose t*h + 1 = 2*h - 2*s, -3*h + 5*s = -8. Which is the biggest value?  (a) h  (b) 0.4  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 3. Suppose -15 = -f*y + z, -4*z = -4*y + 24 + 4. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 366 and 6664982?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + 1001111011111001010?\nAnswer: 1001111011111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(350\/(-21))*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 (base 9) in base 8?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 3*w - 22. Let o be 1*-2 + (17 - 6). Let f be g(o). Suppose f*a - 267 - 38 = 0. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12531*v**3 + 2*v**2 + 12487*v**3 - 2*v**2 - 25014*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, -9, 5 in descending order.\nAnswer: 5, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 363 = 2*l, 0 = -5*t - 3*l + 6*l + 1794. Calculate the highest common factor of 34 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.647421 millennia to months.\nAnswer: 7769.052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 2*g + 31 - 8 = 2*d, -120*g + 8 = -2*d - 122*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p and 1 q when four letters picked without replacement from ppppqqpqqpqqqpqqpp?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 5298985, 10597972, 15896959, 21195946, 26494933, 31793920?\n\"Answer: 5298987*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c**2. Let i(m) be the second derivative of 0*m**2 + 1\/3*m**3 - 40*m + 0. What is i(w(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2739*f**2 + 3*f + 25. Let n(p) = -4109*p**2 + 5*p + 40. Give -5*n(a) + 8*s(a).\nAnswer: -1367*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 497957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 4*p + 3*x + 297, -3*p + 267 = 3*x. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and 7228.\nAnswer: 7227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (0 - (-5 - -4))) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of k**4\/36 + 505*k**3\/18 - 253*k**2\/3 + 1923*k. Solve d(l) = 0.\nAnswer: -506, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 918 - 75*j - 512 - 404.\nAnswer: -75*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -280976.7 to the nearest 1000.\nAnswer: -281000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -5, 154, -1\/7, -1.95, 11, 0.04, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -16870*n - 792919. What is t(-47)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*x - 372 + 54. Calculate the remainder when x is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 28\/70 + 12\/(-5). Suppose -3*m + 4*o + 19 = 0, 0*m + 2*o = 4*m - 12. Let k(f) = -4*f**2 + 2*f - 1. Let j(y) = -y**2 + y - 1. Determine b*j(c) + m*k(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/449747351 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 9*q**3 + q**2 - 20*q - 1. Let y(o) = -2*o**3 + 4*o. Let n(l) = 2*a(l) + 11*y(l). Solve n(z) = 0 for z.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 10*w = -5*w + 2, 3*h = -4*w + 17. Put 5, h, 6 in increasing order.\nAnswer: h, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*f + 48. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 63 - 54. Let x be 42\/v + -3 + 2\/6. Suppose 9 - 7 = x*y. Let g(i) = 5*i - 1. Let a(w) = w. What is y*g(l) - 3*a(l)?\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -58 + 67. Suppose u*b = 12*b - 495. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6051 - 6050. Sort x, -2, 191 in ascending order.\nAnswer: -2, x, 191","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-36)*15*-6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q - 2. Let h(o) = -o**3 - 5*o**2 - 8*o - 5. Let z be h(-2). Let c(l) = 15*l - 44. Let y(d) = z*c(d) + 2*m(d). What is the derivative of y(k) wrt k?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/1*2\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of -6*r**2 + 0 + 7\/3*r**3 - 1\/6*r**4 + 0*r. Let p be y(5). Let t(k) = k**3 + 7*k**2 + 4*k - 6. Determine t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 53*y**3 - 9481614 + 9481614 + 2*y - 2*y**2 in the form g*y**2 + x*y**3 + w*y + t and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-1*(sqrt(448) + sqrt(448)*-3) - (sqrt(448) + (sqrt(448) - -5*sqrt(448)) + 3))**2 + 3.\nAnswer: 240*sqrt(7) + 11209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 56 + 24. Let u = k + -72. Calculate the greatest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 296*q + 291*q = -25, 4*q = g + 20. Let f(b) be the first derivative of -1 + 0*b**3 + g*b**2 + 0*b + 1\/12*b**4. Factor f(s).\nAnswer: s**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 28 = -0*g. Let u = 63 - 65. Let o be ((-144)\/78 - u) + 162\/(-39). Put g, 3, -3, o in decreasing order.\nAnswer: 3, -3, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 AM and 8:57 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 4*o = -19505, -12*o + 11*o - 11710 = -3*q. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, e: 13, i: 3}. Give prob of sequence iie.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1*sqrt(85)*-6)\/(sqrt(35)\/(sqrt(35)\/sqrt(5))).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4663211?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3971 divided by -361?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/29)\/o)**35\/(o**(-4)*(((o*o**(-17))\/o)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-447\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 8*d**2 - 7*d + 3. Let q = -7 - -2. Let u(s) = s**2 - s. Let j(g) = q*u(g) + r(g). List the prime factors of j(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from ffcolc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*f = -38*f + z + 1, -5*z - 5 = 0. Let r(k) be the second derivative of -5\/6*k**3 + f - 7\/2*k**2 - 12*k. Differentiate r(i) wrt i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 5*s + 4*s - 5, s = 3*z - 5. Suppose y + 0*y = z. Suppose 5*r - 10*r - 25 = y. Let v(f) = -2*f - 6. What is v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 - 37 = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 + 8*g - 12. Let y be p(6). Solve 5*b = -y*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 13*w + 8. Calculate i(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -152\/237, -378, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*f + 5*r + 47, 27 = 4*f + 5*r. Let l(y) = f*y + 3 - 6*y - 6*y. Let k be l(3). Calculate the highest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-2)*(16\/(-6))\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 443*u**2 + 7*u - 3. What is the tens digit of v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 37, 55, 57, 31, -35, -153?\n\"Answer: -2*q**3 + 4*q**2 + 20*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -249 - -255. Solve -2*r = -w*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -6*m**2. Let f be 2 - (3 + -3 + 2). Let c(v) = v**2 - 2*v**2 + f*v**2. Determine c(l(h)).\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1.3 or -26872204?\nAnswer: -26872204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 311.2183?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 51 = -5*v, v - 72 = -2*c + 5*v. Let t = -17 + c. Suppose -2*o = -t*o + 357. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-13)\/5 + (-18)\/45. What is the second smallest value in -1, -2\/21, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 0) + (2 + -3 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 divided by -73?\nAnswer: 18\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 2)*(-336 - 433 - 69*v + 33 + 70*v).\nAnswer: v - 736","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 28 = -13*f + 15*f, 0 = -5*k - 7*f + 35 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j + 2. Let c(k) = -401*k - 10. Calculate 5*a(t) + c(t).\nAnswer: -411*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - 3*g**2 - 12*g + 2. Suppose -19*x + 30 = -14*x - j, 3*j + 20 = x. What is r(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 2*n**3 + 3*n - 4. Determine p(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 24\/(-9)*9\/(-4). Let s be -2 + 1 + 0 + m. What is the third derivative of 0*h**5 + 0*h**s + 2*h**5 + h**2 wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5024336461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -4*w + 2*w - 6 - 1. Let q(z) = 14 + 21 - 67 + 12 - 6*z. Determine -17*o(s) + 6*q(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - d, -2*k + k - 4*d = 0. Suppose 3*b + 0*b - h - 44 = k, -b = 5*h - 20. Solve r = 3*x + 13, -5*x - 5*r - b = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 31*(-4)\/12 + 10 - (-17)\/33. Which is the second biggest value?  (a) 0.1  (b) -25.7  (c) 3\/4  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 752500 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of q**4\/12 - 2*q**3\/3 + 4*q**2. Let o be h(5). Solve -w + 3*j + 8 = 0, -j + 18 = -3*w - o*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*j**2 - 60*j**4 - 21*j**4 + 392*j + j**3 - 878*j + 484*j to the form a + p*j**3 + y*j**2 + t*j**4 + q*j and give t.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -43, -0.1, 5, -4, 2\/165, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 20242403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, y: 3, c: 5}. Give prob of sequence cyy.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4369 = 11*b + 1751. Does 51 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -10. Let o(g) = 7*g**3 + 2*g**2 - 7*g + 4. Let z(l) = 8*l**3 + 2*l**2 - 6*l + 4. Let u(n) = w*z(n) + 4*o(n). Factor u(x).\nAnswer: 2*(x - 1)*(x + 2)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 27 = 3*h, -13*h + 8*h + 19 = -2*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14829515 is divided by 411?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**2*d**4*k + 2*c**2*d*k**2 + 2*c**2*k**2 + 1259*d**4*k**2 - 70*d**2*k + 2*d*k wrt d?\nAnswer: 48*c**2*d*k + 30216*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 + 368535.\nAnswer: 368530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -883298271 rounded to the nearest 100000?\nAnswer: -883300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41 - -114. Let i(q) = 8*q**3 - 69*q**2 - 35*q + 212. Calculate the remainder when i(9) is divided by j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(-2\/3)*l))\/l*l**12*l**0*((((((l*l\/(l\/l**(12\/5)))\/l)\/l*l*l*l)\/l)\/l)\/l)\/l assuming l is positive.\nAnswer: l**(181\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7468908, 29875632, 67220174, 119502534, 186722712, 268880708, 365976522?\n\"Answer: 7468909*y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 108727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.6 + 4. Let o = 0.3 - s. Let g = -6556.5 - -6556. Which is the closest to o?  (a) 5  (b) g  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 14*p. Let r(u) be the third derivative of u**6\/72 + 29*u**3\/6 - u**2 + 18. Let g(o) be the first derivative of r(o). Calculate g(q(t)).\nAnswer: 980*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-108)\/24 + 14\/(-4) + (-6)\/(-9)*21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of 5*r**3\/3 - 4*r**2 + 9. Find the second derivative of f(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -60*w**2 - 654*w**2 - 529*w**2 - 5766*w + 85*w**2 wrt w.\nAnswer: -2316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -128 - -61 - -55 - (1 + 0 + -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/2)\/(984\/(-4920))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -g**2*y**3 - 2*g**2*y**2 + 3*g**2*y + 10802*g**2 - 133*g*y + 5865*y**3 wrt g?\nAnswer: -2*y**3 - 4*y**2 + 6*y + 21604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.5203559 + 0.56313336. Let d = h - -0.02922188. Let t = d + -0.072. What is t rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((6*sqrt(190)*-2 - sqrt(190))\/(sqrt(490)*-2) + -4 + 1 + sqrt(114)\/sqrt(96))*5)**2.\nAnswer: -2475*sqrt(19)\/14 + 693675\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 0. Is ((-6)\/k)\/(1\/21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -554 = -3*q + v - 519, 2*q = -5*v + 12. Solve q*o + 8 = 7*o, -3*r - 5 = -2*o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5675437*t**4 + 9437010*t wrt t?\nAnswer: -68105244*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 425343042 to the nearest integer?\nAnswer: 20624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/28584 and 23\/192?\nAnswer: 228672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of 19*t**7\/42 - t**6\/30 - 11*t**4\/3 - 30*t + 1. What is the third derivative of x(b) wrt b?\nAnswer: 1140*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -1 + 4 - (-508 - -509) - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*z + 66 + 104 = 119 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 112\/6*(-6)\/(-4). Suppose 8*u + 46 = 4*p + 5*u, -2*u - 4 = 0. Let h be v*1 + -12 + p. Calculate the highest common divisor of h and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x. Let m(t) = -t**2 - 4*t + t**3 + 2*t**2 + 5 + 3*t**2. Let l be m(-5). Let f(h) = 5 - 5 + l - 4*h. Give f(p(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 29738 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 25557843 and 17038562.\nAnswer: 51115686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -3*d + 3*l, 0 = -277*l + 249*l + 112 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 36120.3054 to the nearest integer.\nAnswer: 36120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 4863195\nAnswer: 4\/4863195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*z - z + 45 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*r = 182*r - 9275 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dqau when four letters picked without replacement from {d: 2, w: 1, q: 6, s: 1, a: 4, u: 4}.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-8))\/(6\/66).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2667)\/(-462)*9 - 13\/(-286).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 2. Let d be (6 - r\/(-2))*3. Suppose 4*f - d - 346 = 0. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 69 + 84 = 0. Put 1, 6, m in descending order.\nAnswer: 6, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of -99*m**4\/4 - m**3\/2 - 4221*m**2\/2 + 2290*m. Differentiate f(w) wrt w.\nAnswer: -594*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -393*l - 147 + 1611 = -3252 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.629 + -40.279. What is j rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*l**3 - l - 4*l**2 + l.\nAnswer: -24*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 160 divide 199335794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b = -105*b - 73*b. Factor -2\/11*x - 2\/11*x**2 + b.\nAnswer: -2*x*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/(-10))\/(4\/(-15)). Let p = -14 - -12. Which is the nearest to -0.1?  (a) u  (b) p  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-27)\/42 + (-5)\/(-35). Let d = 0.2 - 1.2. Let x = 2531\/5 - 506. Which is the smallest value?  (a) d  (b) v  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 131  (b) -2\/3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0152 and -2.6.\nAnswer: 0.03952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**4\/2 + 3981*d**3\/2 + 755973*d**2 + 112627584*d + 5806411776 = 0. Calculate d.\nAnswer: -814, -192, -129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24926654.\nAnswer: 2, 2741, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**4 - 70*p**3 - 222*p**2 - 226*p - 76.\nAnswer: 2*(p - 38)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 51\/4 of a decade?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1)**(2\/81))**(-36\/11)\/((k*k**(2\/7)\/k*k)**(-1\/27)\/(k**0)**(-6\/13)) assuming k is positive.\nAnswer: k**(-23\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -7*h**2 + 2*h. Let b(a) = -3*a. Give b(y(k)).\nAnswer: 21*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 6:35 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -i + 5*d + 11, -3*i + 4*d = 16. Let f(t) = t - 6. Let l be f(6). Put i, l, 1 in decreasing order.\nAnswer: 1, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 7*s - 6*s. Let x be 3 + 32\/8 - s*3. What is the nearest to x in -3, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 44459, 88902, 133345, 177788, 222231, 266674?\nAnswer: 311117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 6*i = i + 22, 0 = 5*d - i + 38. Let u be (-6)\/((-3 - -1)\/d - 0). Does 12 divide (-108)\/u*10\/(-12)*-8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + 65c36?\nAnswer: 65c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 113*p**4 - 167*p**3 - 2*p**2 - 3972*p + 24?\nAnswer: 2712*p - 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(2\/7))**(-1\/32))**15\/((w**(3\/7)*w\/w**(-4))\/(w**(1\/2)*w*w)**45) assuming w is positive.\nAnswer: w**(3407\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/2 - 3) + -8. Let t be (f - 1)*2\/(-4). Let c = 15 + t. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -943 or -5665\/6?\nAnswer: -5665\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 101839.313?\nAnswer: 101839.313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange g - 2 + 2 + (-2*g + 0*g + 0*g)*(-3 + 2 + 0) + 302 - 107 + 2*g - 67 to v*g + w and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 11:29 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -6652.4 to the nearest one hundred.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 118*c*j**4 + 8*c*j**3 + 419292*c*j**2 - 89*j**4 - 2*j**3 + j wrt j?\nAnswer: 2832*c*j + 48*c - 2136*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-59)\/((-3304)\/(-56))*(-9)\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 2:52 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and 3358566?\nAnswer: 3358566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, h: 7, q: 1, a: 4, k: 1, o: 1}. Give prob of picking 1 o and 1 k.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 977 - 6020 = -3*c, 4*c - 2*g - 6766 = 0. Solve -c = -x - 1681 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7cb7e1 (base 15) to base 9.\nAnswer: -12186334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s + 2*s = -10. Suppose -7*a = 2*w - 3*a - 28, 0 = s*w - 3*a - 63. Calculate the greatest common divisor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2331 - -30200?\nAnswer: 33131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 238527.\nAnswer: 3, 17, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 161696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 11364*t + 11445*t + 8 - 18314*t.\nAnswer: 4495*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -30985.7900041 - -30986.12. Let x = 0.99 + -0.66. Let n = h - x. Round n to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + k. Suppose 0 = -3*i - k*i + 108. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 359 divide 137061892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - v = 10. Let b(h) = -3*h + 4. Let s(c) = -4*c + 5. Give v*b(x) - 4*s(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 956 - 956. Solve -3*g = -6, 5*t + b*g - 9 = 3*g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001029692 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -6*1*4*(-6)\/(-192)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (407*(-2508)\/(-2299)*(-1)\/(-3))\/4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -12065937 - 159122\nAnswer: -12225059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h - 7. Let f be u(-11). What is the second derivative of -f*q**4 + 2*q**4 + q + 2*q wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*r + 237*r**2 + 168*r**2 + 4*r - 126*r**2 to c*r**2 + w*r + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2684966?\nAnswer: 2, 19, 70657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -17. Let n(m) = m - 85. Let l(w) = -2*n(w) + 11*q(w). Calculate the least common multiple of l(-14) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7796 - 6722. List the prime factors of a.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154928025481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 58329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + o = 3, p = 4*o - 7*o + 9. Solve z + p*z + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 11*x**2 + 5*x + 4. Let m be r(-2). Let p = m - 24. Differentiate p*u**4 - 2 - 18*u**2 - 11 + 18*u**2 with respect to u.\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uyyhvuchhauyhuu. Give prob of sequence vu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 12:49 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1335343 + 2551848. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: c (base 15) to base 11\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -388*h**2*k**2*s**3 + 2*h**2*k + 232911*h**2*s**3 - h**2*s**2 - h*s - 270*k**2 + 7*k*s**2 + 757*k*s wrt s?\nAnswer: -2328*h**2*k**2 + 1397466*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2 = y, y + 11*z - 6 = 10*z. Suppose -3*k - 3*o = -93, -y*k = 13*o - 15*o - 100. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*4\/(-16)*(-12)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 - 4*s**2 - 6*s + 10. Calculate m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -110*b**3 + 2*b**2 - b - 2. Let f be j(-1). Suppose -5*r + 3*g + 358 = 0, 3*r = 5*g + f + 91. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1672 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n + 35. Let g be x(-7). Let p(s) = -s - 14 + g - 14. Let z(u) = -7*u**2. What is z(p(b))?\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*i**3 - 2*i**2*l + 92*i**2 + 31492*l wrt i.\nAnswer: -15*i**2 - 4*i*l + 184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -151*d + 1077 + 83*d + 72*d.\nAnswer: 4*d + 1077","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z + 2. Let v(n) = -n - 1. Give 2*u(d) + 5*v(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 791 - 239. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2011.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 119054 and 15314?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**9\/g)\/g**(2\/15))**(-10\/9) assuming g is positive.\nAnswer: g**(-236\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -430 + 292. Let h = -138.0000114 - p. Round h to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -330*g + 297 = -321*g. Let a be ((-2)\/(-1))\/(-1) - -7. Find the second derivative of -70*f**3 + 70*f**3 - g*f**a - 31*f wrt f.\nAnswer: -660*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - g + 51 + 146, a + 4*g - 68 = 0. Suppose 8*t - a = 4*t. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3468558115 to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + 2\/1 + 0. Let n(y) = 364*y - 2545. Let i be n(7). Solve z*f = i*f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 299.820005 - -0.454?\nAnswer: 300.274005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2116 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -2*s + 45 - 9, 5*j = -25. Suppose -21 - s = -3*t - z, -2*z - 32 = -2*t. What is the remainder when 59 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -117 + 416. What are the prime factors of m?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 3*b + b = 2, 5*b = w + 19. Solve 0 = -w*u + u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2443 (base 9) to base 16.\nAnswer: -71d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 243 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.9698l in millilitres?\nAnswer: 99969.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 54*((-24)\/(-9))\/4. Suppose 4*c + 3*q = -w, 2*c + 5*q = 4*c - 8. Is (10\/c)\/(6\/(-90)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*h + 4*m = 20*h - 1312, -3*h + 964 = m. What is the remainder when h is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69139587 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 28 + 3 = 0, 0 = a + 5*d - 772. Let i = a + -732. What is the greatest common factor of 104 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*p = 44*p + 728. Let k(z) = 39*z**3 - 52. Let q(g) = -g**3 + 1. Determine p*q(t) + k(t).\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 25 = 25. Let f(q) = -q**2 - 10*q. Let m be f(i). Let l = m + 1. Which is smaller: -2\/71 or l?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, -0.5, -0.11, 0.09, 0.22, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*h + 2158 = 448. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27791\/3 - 9265. Which is the biggest value?  (a) -1  (b) q  (c) 5  (d) 0.2  (e) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2571 + -5.2571. What is the biggest value in i, 8.2, 1\/3, 4?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/1813 in 1, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11226 - -11231. Let a(o) = -5*o + 17. Let f(b) = 21*b - 68. Let d(n) = 9*a(n) + 2*f(n). Calculate d(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*f - 85*f = -190*f + 63*f - 3040 for f.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of 5*z**2\/2 + 12*z + 35. What is b(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - 0.1. Let x = 1099.3 + -1100.3. Let u = -3.04 - -0.04. Which is the nearest to x?  (a) u  (b) -5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r**3 - r**2 + 4. Suppose 4*h = h. Let b be v(h). Suppose 7 = b*x - 1. Solve -3*t + 0 = 4*a + 19, 4*t = -x*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56193448 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -494*v**2 + 987*v**2 - 499*v**2. Let f(d) = d. Let n(i) = 10*i. Let h(c) = 22*f(c) - 2*n(c). What is x(h(b))?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 13478*i - 63 + 13472*i - 40417*i + 13470*i. What is m(17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10\/327 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 - 17*z**2 - 193*z - 11. Let t be h(25). Solve 165*r + 1 = t*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18 + 92 + (-4)\/(-1*2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1\/39445 - -78409\/18973045. Sort 1, 2, s in increasing order.\nAnswer: s, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 367 + -374. Let d be (-4)\/63 - 4\/(-14). Sort 4, d, z.\nAnswer: z, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -43.355, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 10*n - 6. Is 22 a factor of q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j**2 + 3*j + 4. Let u be v(-6). Let h = -17299 + 17355. Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + 2*x + 120. Let g = x - -27. Solve g = -h + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98394149 = -304*b + 109199243. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)\/(-2*sqrt(5)) - sqrt(11)) + (sqrt(77) + (sqrt(77) - sqrt(77)*2))\/sqrt(7).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 88 - 39. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -2 - -2) + (20 - 24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - z = -27, -3*z + 16 = -2*r - 5. Let h be ((-2)\/r)\/1 - (-714)\/18. Let o be (h\/(-16))\/((-10)\/24). Solve -o + 1 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1056)\/(-440))\/(((-1)\/(-1))\/((-20)\/6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2842861?\nAnswer: 7, 406123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 12, 41, 90, 159?\n\"Answer: 10*a**2 - a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2295, -2294, -2293?\n\"Answer: y - 2296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -48*v + 81*v - 3*v**3 - 4*v**2 - 20*v + v**2 - 8 as o*v**2 + j*v**3 + p*v + x and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 3*c + 3*n, -c + 11*n + 31 - 4 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 300 + -292. Solve -3*b = h - d, -2*b - 3*b = -4*h - 19 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 14 + 14 - 8 - 4*t + 10. What are the prime factors of r(-28)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o - 4. Calculate h(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**4 - 3*k**3 - 1 - k**4 + k**4 + (-k - 2 + 2)*(k**3 + 3*k**3 - 2*k**3) + 41 - 41 - 3*k**4.\nAnswer: -4*k**4 - 3*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 658 minutes before 6:42 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Sort 6.1, 2\/3, 1\/4 in decreasing order.\nAnswer: 6.1, 2\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 22*r - 1. Let p(y) be the third derivative of 5*y**4\/12 + 41*y**3\/6 + 16*y**2. Let h be p(-4). Calculate i(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -3*g + 6. Find the second derivative of -g*w**4 + 7*w + 2*w + 7*w**4 wrt w.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 387.48 - 385.48. Let g = -210 + 316. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 958553\/134536 + 2\/16817. Let u = 123619\/140 + -883. Let t = -41\/140 + u. Find the common denominator of t and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-7))\/(x\/((x\/(x\/(x**(-7)\/x)))\/x))*(x\/x**(-1))**(6\/13) assuming x is positive.\nAnswer: x**(-14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-4))\/(615\/164).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + 8*u**2 - 2*u + 2. Let h be r(7). Suppose -15 = 3*w, 3*s + 0*w - h = 5*w. Solve -2*v - 2 = -4*i, i = s*i + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -452*q - 6042 + 784 + 1135 - 6273 = 0 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 373 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 2*n + 4*j - 17, -2*n = 5*j - 25. Suppose 5*q = n + 5. Suppose -q*t - t = -78. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5906761 to the nearest integer?\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/8*(-1 - -5). Suppose -3*i + 12 = -i. Let k be 2\/i - 20\/(-12). Put n, k, -4 in descending order.\nAnswer: n, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -343 + 3775\/11. Sort -3\/7, u, -3, 3 in decreasing order.\nAnswer: 3, u, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -40, -22, 76, 296?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172 = -5*y - 4*l, 3*l - 5 = -2*y + 68. Suppose 3*w - y = 28. Calculate the highest common divisor of w and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 472*j - 1 + 39*j + 131*j.\nAnswer: 642*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 41014\/((8\/(-12))\/((-3)\/9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 - 10*l**2 - 8*l + 3. Let f be q(-9). Let n = f + 9. Factor -12*u + 18*u - u**3 + 3*u**3 + u**n + 9*u**2.\nAnswer: 3*u*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-18)\/(-4)*50\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22\/825*-5*((-25)\/(-4))\/(-1)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(108) + 1 + -4.\nAnswer: -5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 14422352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27 - -18. Let y be (-3)\/12 + z\/12. Let u = -1 - y. Is u greater than 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ill when three letters picked without replacement from liisl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -152829*-18.\nAnswer: 2750922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -200282*o - 2*o**2 + 400076*o - 199794*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3280 - 1138 = -119*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -64.2, 0.07, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2882 (base 13) to base 14.\nAnswer: -21c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(425) + sqrt(425))*-3 - -3*(1*sqrt(425))**2) + (-2 + (sqrt(425) - sqrt(425)*-1)*5)**2 + 2)*-3*-2.\nAnswer: -1110*sqrt(17) + 262686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6601 + 3*y**3 + 6601.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-49 - 39 - -18) + 33\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 5*z**2 - 629*z - 10596. Give f(-16).\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 6:02 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8*-1 + 1 + 2 + 363?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -4*t - 10. Suppose -13*w - 97 = 7. What is the tens digit of n(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -r - 60525*p + 60514*p - 283, -6*r + 2*p + 70 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 7*c**2 + 5*c - 3. Let h be m(-6). Solve -t + 2*n = t + 20, h*t - 5*n = -40 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*(w*w**(-2\/21))\/w*w*w*w**4)**(9\/11) assuming w is positive.\nAnswer: w**(435\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-2*1*42\/28)\/(14\/2)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 - 7*l**2 + 125*l + 946. Give v(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 + 5*d**2 - 6*d + 4. Let v be z(-6). Suppose 0 = -2*q + v*q - 6. Let u = 3 - q. Solve 0*s - 4*s - 12 = u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 125729 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 686280 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nvv when three letters picked without replacement from vnuuvnuuu.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 9  (b) -1.188  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 204395*n + 137*n**2 - 408784*n + 204389*n + 32*n**3 - 3275*n**3 wrt n?\nAnswer: -19458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5317456 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -2*k**2 + 4*k + 1. Let p(h) be the first derivative of -h**2\/2 - h - 83. Calculate a(f) + 2*p(f).\nAnswer: -2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 6*o - 24. Let x be c(4). Let b(n) be the first derivative of 0*n**2 - 4 - 7\/3*n**3 + x*n. Let u(k) = k**2. What is b(u(y))?\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -0.09  (c) 12909  (d) 2\/11  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(2175\/(-6)))\/(142\/(-220) + (-258)\/(-473))\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1769 or -1783?\nAnswer: -1783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -3)*(3 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2110495 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*k**4 - 2735*k**3 + 6850*k**2 + 160960*k - 7680 = 0.\nAnswer: -6, 1\/21, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.76 + -1.5. Let f = 29.26 + j. Which is the smallest value?  (a) 3  (b) f  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47 + 1109*d**2 + 92 - 45.\nAnswer: 1109*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 22*i**2 - 13*i - 7. Let n be c(9). Suppose -8*x + n = -2263. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6882873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(2\/21)\/k*k*k*k**(-1\/3)\/k)\/((k**(1\/2)*k)\/k)**(-34) assuming k is positive.\nAnswer: k**(373\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 1098*f - 5 - 1080*f.\nAnswer: 18*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 237.4243t to kilograms.\nAnswer: 237424.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 71 - 204. List the prime factors of k.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -d**3 + 168*d**2 + 511*d + 342 = 0.\nAnswer: -2, -1, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 136967 is divided by 761?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7711*k**3*w**2 - k**3*w + k**2*w + 12*k*w + 2*w**4 - 15*w wrt w.\nAnswer: 15422*k**3 + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 137 - 134. Let x(s) be the second derivative of 1\/2*s**3 + p*s - 1\/2*s**4 + 0*s**2 + 0 + 3\/20*s**5. Factor x(h).\nAnswer: 3*h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 28460 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -232689, -465521, -698353, -931185, -1164017?\nAnswer: -1396849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -11545, -10632, -8149, -3310, 4671?\n\"Answer: 131*x**3 - x**2 - x - 11674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 750984 and 1328?\nAnswer: 1501968","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -3*y - 40884, -4*y + 248 = 5*d - 101893. What are the prime factors of d?\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/(-6))\/(3\/54). Suppose i*f = 2*f + 52. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*j + 2169*j**3 + 169*j**3 - 486*j**3.\nAnswer: 1852*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -92827\/4 > -23207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -54.7 + 57. Let i = p + -2.4. Let l = 11.8 + -13. Is i > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 28*q + 23*q = 564, 2*q = -5*d + 2955. Is d at least 595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 7*u**2 + 5*u - 3. Suppose -3 = -3*n + 12. Does 8 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25) + (sqrt(25) - sqrt(900))*3)\/(sqrt(180)*4).\nAnswer: -7*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 4959.39 decades?\nAnswer: 495.939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134*p = 461*p + 1785 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84080.\nAnswer: 2, 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10736 - -10735.84. Which is smaller: n or 160?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 14 - 13 = 0. Let b(p) be the first derivative of 1\/3*p**3 + p**2 + 2*p + i. What is b(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand c**5 + 31*c**4 + 26*c**4 - 59*c**4 - c**2 + 35*c**5 + 10*c**5 + 3*c**5 + (-4*c**3 + 4*c**3 - 2*c**4)*(2*c - 1 + 1) - 4*c**2 + 4*c**2 + 2*c**5.\nAnswer: 47*c**5 - 2*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 8 = 4*b, -5*f + 2*b + 25 = 0. Is 2\/f - (-31)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 343 divided by -1?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - 29\/(-4))*(-15 + 2682\/54). What is the highest common divisor of w and 4459?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 794338700 rounded to the nearest one million?\nAnswer: 794000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 - 17*b - 18. Let n be 3*(-4)\/18*(28 + -4). Let o be x(n). What is the smallest value in -0.5, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/108975 and 34\/15.\nAnswer: 108975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3070.\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2016.012 - 2091. Let q = -0.012 + i. Let w = q + 69. Are w and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*x - 661912 - 771883 + 517920 = 0. List the prime factors of x.\nAnswer: 5, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 5*t - 226 + 218 + t**2 + 0*t**2. Let i be q(-7). Solve i*z - z = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 4*c + 30, c - 16 = -i - 2*c. Solve -4*x - r = -i, -6*x = -x - 5*r - 35 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 243974 - 3*u**2 - 487605 + 244627)*(2 - 1 + 0).\nAnswer: -3*u**2 + u + 996","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + q**4 - 13 + 7*q**4 + 13 + (-q + 0*q + 2*q)*(2*q**3 + 3*q**2 - 3*q**2))*(-3*q + 0*q + 4*q).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - -102210212001?\nAnswer: 102210212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/35 and -9\/1204.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 15\/11, -2\/3, 1\/5, -1\/7, -3 in decreasing order.\nAnswer: 15\/11, 1\/5, -1\/7, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.1 or 2774?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/32*6560\/25830?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -y**6\/660 - 4*y**5\/165 - 5*y**4\/33 - 16*y**3\/33 - 492*y**2. Factor a(z).\nAnswer: -2*(z + 2)**2*(z + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from mrmmrmmprmrp.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2549*k - 36 - 2295*k + 235 + 54 + k**2.\nAnswer: (k + 1)*(k + 253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5851 + -2?\nAnswer: -5853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d\/(d\/d**(2\/5)))\/d*d**0)\/(d**(-1)\/d**(-2\/13))*((d\/(d*d\/(d\/(d\/(((d\/(d**(-2\/9)*d))\/d)\/d))))*d)\/(d*d**(2\/15)*d))**(39\/7) assuming d is positive.\nAnswer: d**(-28043\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 4*q - 24, -10 = -i + q + q. Suppose -2*d + 18 = 6*y - y, -2*y = -d. Let g be 0 - 4 - (d - 14). Solve 2*k = -2*a + a - 6, -g = i*k + 2*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1*(-6)\/67)\/(33\/22). Let h be 74*(-46)\/(-1340) - 2. Let l = h + g. Which is the biggest value?  (a) -3  (b) l  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -944*g**3 + 655*g**2 + 410*g**2 - 1259*g**4 + 944*g**3 wrt g.\nAnswer: -30216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19759?\nAnswer: 19759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 10:48 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 196 - 196. Suppose 0 = -5*d + 2*u + 377, x*u - 312 = -4*d - u. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 + 5*o**2 + 50*o + 2. Give v(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.41216 rounded to three decimal places?\nAnswer: 0.412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105 and 6160?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/4 less than -448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 322 - 302 = 0. Let x(v) = v - 14. Let c be x(20). Sort c, -2, h in increasing order.\nAnswer: -2, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 33\/5 of a week?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.161 + 1.44. Which is bigger: -0.4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43192 divided by -43192?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(14\/(-91))*6\/(-429)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68 - 6224*r - 569 + 637.\nAnswer: -6224*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 120523.614?\nAnswer: 120517.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1382, -1514, -1646, -1778, -1910?\n\"Answer: -132*v - 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31330*x - 156479*x - 211418*x - 910080*x.\nAnswer: -1246647*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 6:57 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 9327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57 + 7 + -177 + 126.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**2\/8 + 96118947*b\/2 + 9238851972388809\/2 = 0.\nAnswer: -192237894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9487411 to the power of 1\/2, to the nearest integer?\nAnswer: 3080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2*d**2 - 94*d - 189. Give g(-43).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1597232838 and -3?\nAnswer: 1597232835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/(w*w*w*w**(1\/7)*w*w))\/w**0*w**1\/(w**1\/w))**(-9) assuming w is positive.\nAnswer: w**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, t: 1, u: 2, x: 1}. Give prob of picking 1 x, 2 u, and 1 z.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -155267\/16 - -9701. Find the common denominator of -61\/2716 and a.\nAnswer: 10864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence os when two letters picked without replacement from {o: 2, z: 4, b: 1, j: 1, s: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of -2*p**7\/735 + p**6\/105 - p**5\/105 + 9*p**2\/2 - 8. Let i(u) be the second derivative of d(u). Suppose i(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.95 - 2.833. Let f = o + -0.617. Which is the third smallest value?  (a) f  (b) -2  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 25 = 6*d. Let h(t) = t**2 - 6*t + 8. Let z be h(d). Suppose -b = -4*p + 14, -2*p = p + z*b - 3. Solve 0 = -5*k + 2*f, -k = -3*k + p*f + 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 6*c**2 + 49*c - 31. Determine o(5).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, -558, -4, 2, 26.\nAnswer: -558, -37, -4, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -26*z + 310. Let j be l(12). Let u be j*(-15)\/4*(-6)\/(-9). Solve b + 3*b + 15 = -5*q, u*b = -25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -2*j + 2042 - 409, 3*u + j = 1634. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30753 = -18*d + 22509. Calculate the remainder when d is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 13800844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (77 - 77 + 34*g)*(1 - 1 - 2*g)*(-2*g**2 + 0*g**2 + g**2) - 2*g**4 + 1 - 2*g**2 + 2*g**2 to k*g**2 + v*g**3 + x + i*g + a*g**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 16 = -j, 5*j - 20 = -2*v + v. Suppose -4*z = -v + 3. Let n(d) = d**z + d - d. What is n(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127*j - 341 + 1353 - 150*j - 276*j.\nAnswer: -553*j + 1012","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of 0*a - 11\/60*a**5 + 0*a**4 - 5*a**2 + 0 + 0*a**3. Let o(m) = 3*m. Give h(o(y)).\nAnswer: -99*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 314, 310, 306, 302?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -325066808 times 1?\nAnswer: -325066808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand j - j - j**5 + (2*j - 5 + 5)*(2*j**4 - 3*j**3 + 3*j**3) - 3*j**5 + j**5 + 0*j**5 + (2*j**3 - 2*j**4 - 2*j**3)*(-3 + 2*j + 3).\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*b - 19*b = 4. Suppose 4*s = -8, 0 = -b*v + s + 3*s + 40. Does 3 divide -1 + 3 + -8 + v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -92351*p**5 - 57*p + 36 wrt p.\nAnswer: -1847020*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5 + 0 - (183\/(-21) - -4). Put b, -1\/47, -1, -1\/8 in descending order.\nAnswer: -1\/47, -1\/8, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 32. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1632100 rounded to the nearest 10000?\nAnswer: -1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -1 + 7 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 6) + 1 + 3 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 5*o, 4*o + 30 = -0*f + 2*f. Suppose -20*s = -f*s + k + 8, -3*s = 4*k - 14. Solve -3*x + x + s = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66757 is divided by 373?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 795.\nAnswer: 1\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3*2236\/156*-1\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s - 30*s**3 + 153*s**3 - 7711 + 7712.\nAnswer: 123*s**3 - s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 380 + -445. Suppose -4*v - 1 = 5*c, 3*c + v = 4*c - 7. Find the common denominator of 9*(c\/84*p - -2) and -47\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*w = -10. Let f be (6\/5)\/(2\/w). Suppose r + f*r - 308 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(5 - 0 - 0). Let x(l) = -l**3 - l**2 + 2*l - 6. Let a be x(0). Let i be a\/(-1 - (-9 - -10)). Solve -f + o*u = 3*u - 8, i*f - 10 = -u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o**2\/o*o)\/(o*o\/(o**(-2\/15)*o))*(o**(-1\/4))**47)\/(o**(-1\/9)*o*o*(o*o*o**(-1)*o)\/o*o*(o\/(o**1*o))**17) assuming o is positive.\nAnswer: o**(761\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, e: 4, c: 2}. Give prob of sequence eeo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, m: 2, s: 6, b: 8}. Give prob of picking 2 b.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 7*k + 17. Let a be (0 + -3)*(-4)\/(-3). Sort k, a, 5 in decreasing order.\nAnswer: 5, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from giggigigwqgggggq. What is prob of sequence iwgi?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 5845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -176 - -158. Let m(a) = -16*a**4 + 24*a**3 + 7*a**2 - 9*a + 9. Let y(w) = -4*w**4 + 6*w**3 + 2*w**2 - 2*w + 2. Let u(z) = q*y(z) + 4*m(z). Factor u(c).\nAnswer: 4*c**2*(c - 2)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 67*h + 1 = -66*h, 0 = -5*g - 2*h - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -4*h + 4. Let v(o) = -9*o + 9. Let a be 52\/9 + -1*10\/(-45). Calculate a*v(c) - 14*y(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-6)*k*k*k*k**20)\/(k*k\/(k**(-37)\/k)*k*k**(-1\/23)\/k) assuming k is positive.\nAnswer: k**(-528\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1835538 divided by -39054.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 76*z = -3*p - 81*z + 345, -4*p - 17*z + 16*z = -84 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4284.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 1. Let i(a) = -a + 4. Let n = 2340 - 2341. Determine n*v(d) + i(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -27*z**2\/2 + 68*z - 101. Let w(y) = 107*y - 275. Let t(a) = -26*b(a) - 6*w(a). What is the derivative of t(r) wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 3*u**3 - 324*u**2 - 537*u + 58015. Calculate w(108).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*m + 2862 = 42*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1199 minus -0.0343?\nAnswer: -1198.9657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 574207 is divided by 574199.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 30. Let v = -9.93 - -1.73. Let q = v - -7.2. Is q greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - 4*(-1 + 2). Suppose 9 = -4*h + 2*s + 27, 0 = -5*h - 2*s + 45. Let i(y) = y - 8. Let w be i(h). Does w = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(252) + sqrt(252)*2)*-6)\/sqrt(7))\/((sqrt(12) - sqrt(108)*-1) + (sqrt(24)\/sqrt(2) - sqrt(12))*-3).\nAnswer: 45*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -44110, -44088, -44052, -44002?\n\"Answer: 7*n**2 + n - 44118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from mjmmxmjxmjjj.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7219373 and 187663.\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1187486.\nAnswer: 2, 31, 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.3 and 5.03.\nAnswer: 4.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 8 + 88*j - 1\/2*j**2. What are the prime factors of h(0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1191452)\/(-57)*-5*1\/(-20)*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 710 is divided by 60?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 153\/(-204) + (-38)\/(-8). Let m be 66\/42 - ((-25)\/(-7) - a). Solve -2*j - 12 = m*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -70 + 1384. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2))**(-17) assuming q is positive.\nAnswer: q**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4770 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 5 = -q, 0 = -5*w + q + 16. Suppose -w*i + 88 = 4*p, p + 116 = 4*i + 6*p. What is the remainder when i is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**3 + 5*v - 5*v - 2*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 78, 4 in ascending order.\nAnswer: 4, 12, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*a - 9*a = 62*a - 1725. Solve 19*r - 8 = a*r + 4*q, 0 = -2*r - 2*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 432027143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 21009 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 39*r. Let i(q) = -11*q**2. Give i(j(p)).\nAnswer: -16731*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 - 10*k + 9. Let q be v(7). Let h be q\/(-7) - (-2)\/7. Suppose -j**5 + 0*j**2 + 0*j**h = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -120 + 184. Suppose 0*c + 2*s = -2*c - 60, -s = 5*c + 142. Let a = c + v. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1360473041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*q**2 - 22*q + 18*q**2 - 7*q**2 + 224*q.\nAnswer: 3*q**2 + 202*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 + 21*r + 71. Give o(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 PM and 2:27 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*u + 132 = 0. Suppose -f + 4 - 32 = -2*x, -3*x + u = -f. Suppose -o + 4*o - 87 = 0. What is the remainder when o is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2976.29 - -2976.21. Let f be 0 + (1 - 14\/3). Which is the third smallest value?  (a) -1  (b) f  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 1, 1654, 0 in increasing order.\nAnswer: -2, 0, 1, 2, 1654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 at most 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + (-2)\/(-2) - (78 + -78). Solve t + b = 2*a - 1, -4*t + 3 = -a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00010011696 rounded to 6 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -6*f**2 + 1. Let s(l) = -5*l**2 + 1. Let a(x) = 4*q(x) - 5*s(x). Let a(o) = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((10\/14)\/5)\/((-7)\/7)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + y = 2*m - 3, 3*y = -2*m - 9. Put 2, m, 9 in descending order.\nAnswer: 9, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(6\/(-2) - -4). Let q be h + 29 - (-8 - -9). Let o be q\/240 - 2\/8. Which is the third smallest value?  (a) o  (b) -0.2  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (642\/(-30) + -11)*(99\/18 + -8).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**2\/6 + 22895*z\/3 + 4982700.\nAnswer: -5*(z - 9770)*(z + 612)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 14, -58*r + 63*r = -5*z - 15. What is the highest common factor of 3292 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 14102*z**2. Let i(h) = 2*h. What is i(f(k))?\nAnswer: 28204*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3 - 0) + (-2)\/(-2). Let m(y) = 2*y - 5. Let o be m(s). Find the second derivative of 4*a + a**3 + 6*a**o + 0*a - 2*a**3 wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = g - 26. Let a = g + 31. Suppose -q + a + 53 = 0. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -274 + 274.3. What is the third smallest value in 0.03, f, -23?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*((-18)\/((-234)\/13))\/(2\/(-6)). Which is the nearest to 10?  (a) 3.7  (b) 0.1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 946 by -2.\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-120)\/14)\/((-3)\/532)*32\/5.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99)*3 - sqrt(99))) + sqrt(99)) - sqrt(99)))\/(sqrt(450)\/sqrt(2)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8 and 1251.\nAnswer: 10008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)\/(sqrt(5)*-2 + sqrt(5)))\/(sqrt(176)*3).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (17 + -37 + 21)\/((-15)\/(-285))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-370 + 27*i + 370)*(-4*i**3 + 2*i**3 - i**3) + 0*i**4 - i**4 + 2*i**4 to the form w*i**4 + f*i**2 + c + a*i + q*i**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/6 + 1762*(-13)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2639.056 - -2638. What is f rounded to two dps?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3203, 3188, 3133, 3020, 2831?\n\"Answer: -3*o**3 - 2*o**2 + 12*o + 3196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101000221 (base 3) to base 9.\nAnswer: -11027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 120 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-115*v**4 + 192*v**4 - 101*v**4)*(18*v - 9*v - 7*v) + (4*v**3 - v**3 - 2*v**3)*(4*v**2 - 2*v**2 + 2*v**2).\nAnswer: -44*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 - l + 3. Let h be 1 + ((-7)\/1 - -3) - -80. Let g = 85 - h. Let r be (6 + -6 - g)*2\/4. What is c(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*d - 53*d + 60 = 0. Let y(w) = w**2 + 2*w - 4. Let o(p) = -p + 3. Let b be o(7). Let k be y(b). Calculate the highest common factor of k and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -49709, -98888, -148067, -197246, -246425, -295604?\n\"Answer: -49179*d - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c + 79*c - 162 = 398. Let l(t) = -t**3 + 8*t**2 - 8*t + 4. Calculate the remainder when l(5) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {v: 1, g: 11, s: 2}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 185416 + -84587. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -56, -600, -2086, -4988, -9780, -16936?\n\"Answer: -79*k**3 + 3*k**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5*p = -132, -179 = -4*o + 5*p + 394. Let n be 1*190 + 1 + (39 - 34). Calculate the highest common factor of n and o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, -4, -3, 13296 in increasing order.\nAnswer: -4, -3, 29, 13296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3)*(4*r - 2 - 9*r - 20*r).\nAnswer: -50*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1202644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/89 - -172\/267. Let p = -15335 - -15333. What is the closest to 1\/2 in p, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6542 or -6534?\nAnswer: -6542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 + -17. Suppose -o = t - 4, -o + 5*t - 16 = -q*o. What is the third derivative of -2*d**2 - 7*d**5 + o*d**2 - 3*d**2 wrt d?\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*c + 43 = -17*c + f, -2*f = -5*c + 112. What is the remainder when 63 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 177 - 176.5. Let b = 1 + -3. Let c = 5 + -3. What is the closest to b in c, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(350)\/(sqrt(20)\/sqrt(2)))\/(5*sqrt(80)).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3950 = 5*b, -4*i - 2005 = -b - 7266. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3\/3 - 34*o**2\/3 + 199*o\/3 + 78.\nAnswer: (o - 26)*(o - 9)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 1:06 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -72726.8 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 + 18 - 11) + -6 + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 + 3 + 18*n**3 + n - 20*n**3. Determine y(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 1288 = 1270. Let s(u) be the third derivative of 0*u - 2\/735*u**7 + 2\/21*u**3 - 1\/105*u**6 + 0*u**5 + c*u**2 + 0 + 1\/21*u**4. Factor s(f).\nAnswer: -4*(f - 1)*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*r - 3*r + 3*r**2)*(3*r + 0*r - 2*r + (1 - 2 + 0)*(1 + 2*r - 1))*(-r - 10*r - 6*r) in the form c*r**2 + i*r**3 + d + x*r + n*r**4 and give n.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -251\/3 in 203.4, -0.3, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/3, 1, -3, -0.1, -4, 97, 1122 in decreasing order.\nAnswer: 1122, 97, 4\/3, 1, -0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 5. Let t(p) = -2*p + 33*p**2 + z - 1 + 6*p**2. Is t(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 25 - 2*w - 4*w + 7*w. Let j = -166 + 176. Does 7 divide y(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 5  (b) -2  (c) 4.6  (d) 2  (e) 3  (f) 0.0935\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l. Let w(v) = 6410654*v - 48. Calculate w(m(h)).\nAnswer: 6410654*h - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -3*b - 1. Let t = -7 - -5. Let n be d(t). Suppose 0 = -i - q, 0*i + 4*q = -n*i + 1. Solve -k = 4 - i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9876731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2*t**2 + 24*t + 21. Let j be o(-10). Let k(p) = 2*p + 43. Let v be k(j). Which is the biggest value?  (a) v  (b) 4  (c) -0.1  (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 + 7*m + 2. Let y be v(-5). Let o(b) = -b**2 - 7*b. Let t(i) = -3*i**2 - 21*i. Let q(p) = y*o(p) + 3*t(p). Determine q(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/(-3))\/(18\/(-27)). Let w(y) = 6*y**2 + 6*y + 11. Let r be w(6). Suppose -2*a + 0*c = 2*c - 108, 5*a - f*c = r. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 1.8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2. Let i be 1*(-6 + -4 + 9). Suppose 0 = 5*v - 2 - 28. Let a(n) = -n**2 + 2*n - 1. Let p(z) = i*a(z) + v*f(z). Give p(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0*(-3)\/(-15))\/2. Suppose d = 5*u + 3*y - 1394, -4*u + 2*y - 562 = -1664. What are the prime factors of u?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 69 + -66. Let n(o) be the third derivative of 0*o**5 + 0*o**4 + g*o**2 + 0*o + 1\/40*o**6 + 1\/3*o**3 + 0. Differentiate n(m) wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 660038.9km to millimeters.\nAnswer: 660038900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -220 + 13?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 - 23*y**2 - 12*y - 275. What is d(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*l**2 + 10*l**2 - 159*l + 6*l**3 + 159*l.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*r = 58*r - 65. Calculate the lowest common multiple of r and 27.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*j**4*w**2 - 67*j**4 - 333*j**2 - 4*j*w**2 wrt j?\nAnswer: 240*j*w**2 - 1608*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10.65 - -11. Let w = 0.05 - y. Which is the second biggest value?  (a) w  (b) 4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4\/31343 + 2036623\/5265624. Calculate the common denominator of f and 27\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -4*r**2 - r + 5. Let b(n) = -25*n**2 - 6*n + 32. Calculate -6*b(g) + 39*x(g).\nAnswer: -6*g**2 - 3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 45.21 - 45.17159. Let x = i - 0.03834962. Round x to six dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 667 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0509 + 1072.9491. Let j = 1073.009712 - h. Round j to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -51 + 51.05. Which is the third biggest value?  (a) 2.4  (b) l  (c) 0.1  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r + 7. Let f be s(13). Let p = 13 + f. Let j be 3\/(3\/(-8)) - -4. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 9*h + 7. Let y be a(-8). Let n be 21\/6 - y\/(-2). Solve 2*p + i + 2*i = -3, -2*p = -n*i - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((135\/(-170))\/((-210)\/140))\/(3\/2)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 1:51 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + l**2 - 3*l + 248. Suppose 0*o + 20 = 3*i - 4*o, 4*i - 3*o - 15 = 0. What is the hundreds digit of w(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -3 + -3 + -18 + -3 + -11 + 18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 157498 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 2*q**3\/17 + 11438*q**2\/17 + 789612*q\/17 - 7049952\/17 = 0.\nAnswer: -5649, -78, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9861816 years to centuries.\nAnswer: 0.009861816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {p: 1, v: 1, i: 1, c: 5, q: 5, e: 1}?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 16369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(3\/8))\/g*g*g*g**(2\/9)*g*(g**(1\/4))**(-1\/50))**(-13) assuming g is positive.\nAnswer: g**(-42029\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 0.3, -7228526\/3, 3, 0.4 in increasing order.\nAnswer: -7228526\/3, 0.1, 0.3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17741 and 628.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -148 divided by 74?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47, 4, -1, 3.\nAnswer: -1, 3, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 114*a. Let c(q) = -q**2 - 5*q + 799. Give f(c(o)).\nAnswer: -114*o**2 - 570*o + 91086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(-1) - 10\/26. Let q be ((-1)\/(-195))\/((-7)\/(-21)). Let u = p - q. Which is the closest to 0?  (a) u  (b) 1  (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - 21961\/(-12))\/1. Let m = j - 1824. Calculate the common denominator of -109\/26 and m.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-3*sqrt(320) + sqrt(320) + 1)**2.\nAnswer: -176*sqrt(5) + 38721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 444448 and 1816096?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -492, -51, 0.2.\nAnswer: -492, -51, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 8) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.37 + 0.23. Let r = w + -0.86. Let j = -3\/2 + 4. Which is the third smallest value?  (a) 3\/7  (b) r  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 148, -4, 15, -1, 3, 5 in increasing order.\nAnswer: -4, -3, -1, 3, 5, 15, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 2:06 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 887 divide 314175354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1181 - 1408.6. What is f rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715279.1 grams in nanograms?\nAnswer: 715279100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 60 + -60. Suppose -24 = -4*d - 3*x, s = 4*d - x - 8. What is the nearest to 4 in d, 0.5, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*a + 37 - 17*a + 15*a.\nAnswer: 8*a + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 AM and 4:05 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.58 and -37.\nAnswer: -21.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1866528*x**3 - 3733045*x**3 + 1866519*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 - 9. Suppose 0 = 5*g - 14*g + 27. Solve -f - 5*t + 25 = 0, g*f - r*t - 4 = -1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 759 + -1135. Let q = 379.03 + t. Let x = 0.03 - q. Which is the closest to 0?  (a) x  (b) 1\/4  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 274\/6 + (-3)\/(-9). Let r = 173 - s. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 - -24. Suppose f*o - 4*h - 366 = 2*o, 618 = 5*o - 4*h. Calculate the greatest common factor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*x + 132 - 4*x + 139 - 301.\nAnswer: -13*x - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 1\/4  (c) 0.2  (d) -0.021\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 + 2*i**2 + 1 - 4*i - 4*i**2 + 4*i**2. Let b be y(1). Let x be 3\/9 - 22\/3. Which is bigger: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -88 - -94. Suppose -32*c = -33*c + s. Solve 6*z - c = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1587, 1635, 1683, 1731, 1779?\nAnswer: 1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + -2. Let b(v) be the first derivative of -15*v**2\/2 + 2*v + 19. What is the remainder when b(l) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 51943 and 0.142?\nAnswer: 7375.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 0, 20, 62, 132, 236?\n\"Answer: b**3 + 5*b**2 - 2*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from {l: 1, n: 4, r: 1, s: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 383119479 and 639?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (21\/2)\/(1\/18). Let y be 14 - 9\/(27\/(-21)). What is the highest common factor of y and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -11*b - 4. Let c(x) = 239*x + 245*x + 2 + 251*x + 246*x - 975*x. Determine -5*c(v) - 3*i(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 2385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -6*m**3 - 2*m**2 + 2*m - 3. Let l be q(1). Let k(i) = -i**2 - 10*i - 12. Calculate k(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -6920*y - 1169537. Calculate l(-169).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - 1. Let u(m) = 11 + 11 - 5 + 2*m - 4. Let c(l) = -9 + 0*l - 8 + 11 - l. Give q*c(k) - 4*u(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 81 - 70 + 8*j**2 - 4*j**3 + 3*j**3. Let h be ((-8)\/(-5))\/(1\/5). Calculate the remainder when k(h) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a + 2. Let j(s) = 6*s - 4. Let f(u) = 2*i(u) + j(u). Let r(b) = 2*b + 27. Determine r(f(k)).\nAnswer: 8*k + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -299 and 0.058.\nAnswer: -17.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1.4902 times 0.36\nAnswer: 0.536472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - 2. Suppose -c*j - j = 0. Suppose -3*v - 2*w = -j*w - 530, 4*v = -3*w + 707. What is v rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1222 (base 5) to base 6.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 84533306653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -10232303000 (base 4) to base 11\nAnswer: -777906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/4)\/(w\/(w\/(w**(-2)*w)))*(w**(1\/4))**(-10\/13) assuming w is positive.\nAnswer: w**(29\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 312 + 805 = 5*q, 0 = -4*q - 4. What is the remainder when h is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-12))\/(5\/2880*18).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**2 - 4*y - 7. Calculate the remainder when 9\/(-36)*4*-67 is divided by f(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10486.53348 rounded to the nearest one hundred?\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2\/3 + 224*g - 7150\/3.\nAnswer: -2*(g - 325)*(g - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-75)*(-279)\/(-4774)*22.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a - 4*a + 0*a + (-5*a + 5*a - 10*a)*(1 + 0 + 0))*(0 + 3 + 0 + (6 - 3 - 1)*(2 + 0 + 0) + 1 + 1 - 1 + 1 + 2 - 1).\nAnswer: -110*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23.7 - -23. Let m = k + -4.3. Let p = -4.9 - m. Which is the nearest to p?  (a) -4\/7  (b) -4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -15, 4\/7, 2\/13 in increasing order.\nAnswer: -15, 2\/13, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 154 + 3 - 0\/(-3). Is i*(-3)\/(-12)*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, 3\/5, 10 in descending order.\nAnswer: 10, 1, 3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.14 - -0.02. Let l = w + 0.12. Suppose 3*p - 5 = -2*v, 4*p - 11 = -4*v + 1. Which is the second biggest value?  (a) 3\/8  (b) -1  (c) v  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1070, -2152, -3238, -4328, -5422, -6520?\nAnswer: -7622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26 + 11 + 15 - 17*s**2.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -11*t**3 - 61*t**2 + 382*t. Let b(u) = 14*u**3 + 60*u**2 - 386*u. Let h(k) = -3*b(k) - 4*p(k). Factor h(z).\nAnswer: 2*z*(z - 5)*(z + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 5*u = -5, -90 + 19 = -5*f - u. Let w = 8 - 9. Let o = f + w. What is the remainder when 26 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 1 - 3)*(-4 - 1 - 2)*(3*t - t - 5*t)*(2 - 1 + 2) to the form g + p*t and give p.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1594 or -0.07806?\nAnswer: -0.07806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/3*(-6)\/15. Let v = -3896 + 3897. Which is the nearest to v?  (a) -6  (b) g  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 119 + -40. Let n = 251 - v. Calculate the greatest common divisor of n and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 + -15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1459651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**3\/2 - 6967*m**2\/2 - 69470*m = 0.\nAnswer: -6947, -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 + 6*w**2 - 5*w + 6. Let f(a) = -4*a. Let p be f(-1). Let n be p\/(-3)*(-6)\/4. Suppose 18 = 4*v - n. What is y(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 201112 = 11219*k - 11196*k. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (306\/(-4))\/((56\/140)\/((-8)\/(-30)*-1))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1928 + -1112. Let w = 425 - p. Which is bigger: w or -389?\nAnswer: -389","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/5 + 1\/5. Suppose -5 = -z*l - 1. Find the first derivative of -l*p - 3*p + 0*p + 3 + 2*p wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1999 + 4.8001. Which is the fourth smallest value?  (a) -324  (b) -2  (c) r  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 89.62377l?\nAnswer: 89623.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9185 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 198 and 173682?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.889 and -1.2.\nAnswer: -0.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, r: 2, b: 1, u: 1, j: 3, m: 1}. What is prob of picking 2 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79.656 kilograms to milligrams.\nAnswer: 79656000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -448 (base 10) in base 13?\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide (-14*18\/(-189))\/((-2)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3. Let b(s) = s + 64. Determine b(v) - 3*c(v).\nAnswer: v + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6033872 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 + 2*o + 4. Let z be l(-3). Let v be (-2 - (-60)\/33) + 20\/z. Let n(d) = -d**3 - 5*d**2 - 4*d - 3. What is n(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3497.7 or -83?\nAnswer: 3497.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-546)\/(-260) + -26 + 24\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.037 - -0.046. Let q = 27.991 + p. Let u = 27.99832 - q. What is u rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 139 divide 238456029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 5*d - 55 = 0, 2*m - 5*d + 70 = 4*m. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 864c1 (base 15) to base 12.\nAnswer: 186877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 774991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1408.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*s**3 - 30*s**3 + 3*s**2 + 9*s**2.\nAnswer: s**3 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2337*t = -573*t + 115*t - 5276 - 11494 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 32*v = -8*v + 228, 0 = -x + 5*v + 28 + 24 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5312976 divided by 17\nAnswer: -312528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 14*t**3 - 3*t + 2. Let p(a) = -78*a + 18. Let x be p(2). Let r = x + 139. Let g be n(r). Solve 16 = 3*s + g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -78957469.599643 - -78957421. Let k = x + 48.6. What is k rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 8:10 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*c + 3 = 0, 5*n + 2*c = 3*n + 18. Suppose -n*v + 3*v = -4*h + 470, -2*h - 2*v = -228. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (5 - (17 - 5)) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4670 = 5*d - 4335. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2 - 15*j - 29. Does 3 divide y(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 6:44 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16348*m**3*n**3*x - 2*m**3*n**2 + m**3*n*x - 2*m**2*n**2 + 3*m**2*n - 16*m**2*x + m*n**3*x wrt n.\nAnswer: -98088*m**3*x + 6*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -224, -446, -668, -890, -1112?\n\"Answer: -222*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1470  (b) -0.04  (c) 0.4  (d) -12  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 268412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 - 8*f**2 + 13*f - 71. Let i be j(-10). Sort 48, i, -2, 10 in decreasing order.\nAnswer: 48, 10, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21 - -26. Suppose -q*v + 2*z - 341 = 0, 4*v - 4*z + 233 = -47. Let m = v - -120. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + -a?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 9:11 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 41 - -833?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -5  (b) -309\/5  (c) 0  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12 - (-15910)\/30 - 1\/3. Sort r, -0.1, 0.3, -0.3 in descending order.\nAnswer: r, 0.3, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/(sqrt(3) + (sqrt(3) - (sqrt(363) + sqrt(363)*1 - sqrt(363)))))**2.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xjkxjsdkddksjdkskkk. What is prob of picking 1 x and 1 j?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 20 = -i - 25, 80 = -5*i - 16*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/2198859 and 23\/112762.\nAnswer: 4397718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13592351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vmvmyvyvvymzvmvcmmv. What is prob of picking 1 c and 3 y?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 3*i = -i + 51, -5*i = n. Suppose -3*f = -5*d + 237, -n - 230 = -5*d + 5*f. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -17270 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 81*s**5 - 3*s**2 - 98*s**5 - 3*s**2 wrt s.\nAnswer: -1020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -96348 and -96360 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*o**3 + 5*o**3 + 776 + o + 41517*o**4 - 41515*o**4 - 2*o**2 to b*o**3 + y*o**4 + z*o**2 + v + r*o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 - 2\/((-2)\/5). Let a(n) = 2*n - 9. Let o be a(x). Find the third derivative of r**2 + 2*r**o + r**2 - 3*r**5 wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (72\/10)\/(1107\/14760*(-8)\/6).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*p + 21*p + 25 = 0, -4*o + p = -3209. What are the prime factors of o?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21 and 2289?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70690504 is divided by 3366214.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 70051898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 2 = 9*k. Suppose -o + 649 = 3*o - 5*r, o + 3*r - 141 = k. Suppose -o = 5*f - 8*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 - 13. Suppose -2*y - s + 12 = 0. Let x(j) = -j**3 - 17*j**2 - 31*j - 12. Let p be x(-15). Solve p*z + 18 = y*z - 4*d, 2*d + 6 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 427.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-3\/4)\/(f*f*f**(5\/6)*f)*((f*f\/(f*f\/(f*f**(1\/19)*f)))\/f)\/f*f*f**(13\/4)*f assuming f is positive.\nAnswer: f**(41\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, n: 1, q: 3, m: 3, t: 2, r: 1}. What is prob of picking 2 f?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 11*r**2 - 8*r - 20. Let d(h) = 2*h + 8 + 3*h + 5 - 2 + 2 - 7*h**2. Give 5*b(p) + 8*d(p).\nAnswer: -p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1245  (b) -0.5022  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, 5, 0.08 in increasing order.\nAnswer: -1\/7, 0.08, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 - -25. Suppose m*q = 614 - 64. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -3*l - 5*r + 3, -l - 23 = -5*r. Is 30 a factor of (-716)\/(-12) - 1\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4472 = -4*x + 2*k, 14*x - 11*x - 3*k = 3345. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 6:53 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 + -10. Let m = -3 - i. Let o be 3 - (8\/m)\/(-2). Is o at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 3238?\nAnswer: 5\/3238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 50681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 6*c = 0. Suppose -4*x + 24 = -2*y, -5*x + 4*y + 21 + 15 = c. Suppose 5 + x = t. Calculate the least common multiple of 2 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 114328 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w**2 + 10*w + 8. Let y be c(6). Let m(n) be the first derivative of -1 + 68*n**2 - 16*n - 50*n**5 + 275\/2*n**4 - y*n**3. Factor m(k).\nAnswer: -2*(k - 1)*(5*k - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 620 + 13 = -2*q, -2*p - 4*q + 230 = 0. Let m = -122 + p. Let n be -1*m*(0\/7)\/(-9). Solve -4*l = -5*a + 28, -3*l - 2*a + 2 = -n*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 306*z - 1838*z + 298*z + 314*z + 313*z + 306*z + 305*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1196\/(-368) + 4 + -1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35398531 is divided by 661.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -230303 (base 4) in base 5?\nAnswer: -42432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r + 2. Let q be u(0). Let b(s) = -q*s + 11*s - 5*s. Let o(m) = 2*m**2. Determine o(b(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2429 smaller than 119088\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*h + 3*h + h)*(86*h + 169*h + 105*h - h + 3*h - h + (4*h - 3*h - 3*h)*(5 + 1 - 4)) - h**2 - 5*h**2 + h**2.\nAnswer: -362*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 3*b - 171. Let k be i(0). Let z = 858\/5 + k. Let n be (-18)\/8*2\/(-6). What is the third biggest value in n, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 470 is divided by 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is u in u**4\/6 - 353*u**3\/6 + 119*u**2\/2 + 40707*u\/2 - 60021 = 0?\nAnswer: -19, 3, 18, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -84 + 88. Solve -6*d + 12 = -4*u - 5*d, 2*u = -i*d - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -4*a. Let f(s) = s - 4*s - 6*s. Give l(f(y)).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) - (1*sqrt(110)*-1 - sqrt(110)))\/(-6*sqrt(10)*1).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 AM and 3:44 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 2, -2 in ascending order.\nAnswer: -14, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 905.3641 decades?\nAnswer: 90.53641","meta":{"dup_signals":{},"source":"measurement__conversion_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: Suppose 0 = -26*y + 22*y + 104. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22.8 + -23. Let p = 93 - 98.96. Let b = -6 - p. Do b and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b - 15 = -2*b. Suppose 2*u = 6, -6 = -m + 4*m - u. Let w = m - b. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2182 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -585, 39, -1, -5\/2, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 903*a**2 + 1430*a**2 + 971*a**2 + 90*a**2 as b + c*a + t*a**2 and give t.\nAnswer: 3394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Is 57479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -44990 - 3.93431?\nAnswer: -44993.93431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 6) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b211 (base 14) to base 5.\nAnswer: 11414143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.13 - 0.03. Let o = -22 + 21. What is the smallest value in i, o, 4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3 = -5. Suppose 0 = i*w + 7 - 13. Suppose -w*k + 706 = -k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14625255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/3 or -3\/3409?\nAnswer: -3\/3409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -117, -2, -9, -3, -5 in increasing order.\nAnswer: -117, -9, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 6:13 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.05957 - 514937749.\nAnswer: -514937749.05957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -1193*h**3 + 4*h**2 + 5*h. Let x be t(5). Round x to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a + 5?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1922486538 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: Work out -116 - -182.1.\nAnswer: 66.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert e9e273 (base 15) to base 9.\nAnswer: 22850820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4019347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13286 is divided by 1849.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.838 + 3.162. Let a = -2 + 2. Let m = 0.1 - a. What is the nearest to 1\/3 in m, g, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 85300425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let s be 18\/(-12) + 0 + 7414\/48. Let d = s - 153. Sort d, 0.2, 0.5 in increasing order.\nAnswer: d, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 314767.\nAnswer: 53, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/9*(-1197)\/28994?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-16.6\nAnswer: 1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -259*g = -282*g - 39629. Let k = g - -1725. Factor 2\/5*y**2 - 12\/5*y + k.\nAnswer: 2*(y - 5)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 4*a - 33 = -2*u, -4*u - 3*a + 26 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -411 - 402 - 371 + 1975 - 791 + 4*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c**3 - 7*c**2 - 10*c + 15. Let r be l(6). Suppose 0 = 9*j - r. Solve 3*w - 5*a = 6, -j = w - 0*w + 4*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 630.0031t?\nAnswer: 630003100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 227 + 263 = 5*f. What is the highest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 9992240 divided by 1168\nAnswer: 8555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -1  (b) 0.2  (c) 0.6  (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1998 + -2000. Sort -4, k, -75 in ascending order.\nAnswer: -75, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22102157729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve c**3\/2 + 77*c**2\/2 + 309*c - 16848 = 0 for c.\nAnswer: -54, -39, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 817913.5 and 133?\nAnswer: 108782495.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -2*(-8)\/((-112)\/(-2023))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/10)\/(1\/15). Let x be 4\/(-20) + -42*d\/15. Suppose b - 26 = -g + 47, -5*b = -x. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -463*k**2 - 339*k. Let h(l) = -1389*l**2 - 1017*l. Let b(v) = -4*h(v) + 13*m(v). Find the second derivative of b(r) wrt r.\nAnswer: -926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*g - 3*u + 9, 4 = 3*g - 5*u. Let i be (-9)\/(9\/(-4)) + g. Solve 0 = -4*z + f + 1, i*z + 12 = -2*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*h - 2*h + 5*h + (2*h - 2*h - 2*h)*(-3 + 4 - 4 + (1 - 5 + 2)*(3 - 5 + 3) - 4 - 5 + 5).\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 30024424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -8 - -24 - (4 - 0 - -24)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14511, -14169, -13827, -13485?\nAnswer: -13143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3788*n + 172602 = -12031 - 95679 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 8*h + 72. Is (-6)\/3 - h - -2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -181 (base 10) in base 6?\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 1 = 3*m + 5*a, 5*a = -5*m - 15. Let x = m - -1. Let o be 1\/((-2 - x) + -4). Solve 5*h - 30 = -5*u, 0*h + h = 4*u + o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**3 + 12*m**2 + 40*m.\nAnswer: -4*m*(m - 5)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -o + 2. Let i be -4 + -609997 + o + -1. Let a be i + 0 + (2 - 1). Round a to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((6*1*sqrt(42))\/(1*sqrt(6)*-2))**2 - ((sqrt(252)*2 + sqrt(252) - sqrt(252)) + sqrt(252) + 1 + -2*sqrt(252)*-1))*5 + 1.\nAnswer: -150*sqrt(7) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 - 15*i**2 + 2*i + 13. What is x(-15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 2*v - 5*w - 25, -5*v - 4*w - 20 = 0. Let y = 2 - v. What is the third derivative of 0*x**4 + x**y - x**4 + x**2 - 2*x**4 wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5, -35, -95, -191, -329, -515?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27877 and 568051.\nAnswer: 34651111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 9:49 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23931923 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-54)\/(-135))\/((-64)\/(-2872)) - 18\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.10729 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and 67?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 2034023?\nAnswer: 2034015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 124955, 249924, 374899, 499880, 624867, 749860?\n\"Answer: 3*m**2 + 124960*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3a734d (base 16) in base 12?\nAnswer: -1348951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2*k**2. Let u(z) = -1117*z. Calculate u(s(o)).\nAnswer: 2234*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*d - 27*d = p - 63988, 2*d = 5*p + 31994. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1 + 0.4. Let i = 0.6 - 6.6. Let o = i - -5.9. Which is the closest to o?  (a) -5  (b) -0.2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1727 and 41159591.\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 344*w**2 + 33*w**2 - 6*w + 6*w + 677*w**2 in the form f + p*w + l*w**2 and give l.\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -4*t**2 - 4*t - 2. Let j(o) = -o**3 + 31*o**2 + 19*o + 130. Let m be j(32). Let s be 6\/11 - (-728)\/m. What is r(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10033754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -32 - -32. Let v = 0.2 + -0.3. Which is the nearest to l?  (a) v  (b) -4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.55?  (a) -1\/5  (b) -0.4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -t + 4. Let m = -88.9 - -84.9. What is the closest to -13 in 2\/5, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 342, 344, 346, 348?\n\"Answer: 2*k + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 224021230.\nAnswer: 2, 5, 29, 59, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9408\/120)\/28*2\/(-7).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 249141 (base 10) in base 3?\nAnswer: 110122202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 2*w - 20. Suppose -4*z + 5 = 3*a, 0 = -2*a + a - 2*z + w. Suppose -2*h + 5*j + 9 = a, 0 = -4*h - 2*j + 12. Solve 2*p + 1 = h*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41114 (base 5) in base 12?\nAnswer: -1657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes after 7:56 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*q**3 - 164720364*q**2 = 0. What is q?\nAnswer: -41180091, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -4*z - 2, 2*z - 2 = -42*d + 40*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n + 11. Let h(s) = -s + 13. Let z be h(8). Calculate the smallest common multiple of u(z) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1114546339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-8) - 1\/4. Let k(b) = 4*b**3 + 78*b**2 - 127*b - 16. Let i be k(-21). Put -3, i, m, 4 in descending order.\nAnswer: i, 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 11, z: 9}. What is prob of picking 3 z?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/96 and -69\/8?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 960007*g - 1. Let u be o(1). Let k be (6\/4)\/(3\/u). Suppose 0*w + k = 3*q - 3*w, -3*q + 5*w + 480005 = 0. What is q rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(1008) - sqrt(1008))**2 + 3)*-3.\nAnswer: -108873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = 2*s. Suppose -2*p = 2*h + 8, p = -s*h + h + 1. What is the common denominator of 19\/8 and (-162)\/(-4) - (-36)\/p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2063791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l**2 - l + 4. Suppose -9 = -3*f - 0. What is the units digit of r(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5.597419 decades?\nAnswer: 671.69028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + (-260)\/(-25) + 174\/15 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*l + 4194 = 18094. Is l a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rhr when three letters picked without replacement from {h: 1, r: 4, g: 6, f: 1, z: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -191, 0.3, -13\/2 in descending order.\nAnswer: 0.3, -13\/2, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.44 times -0.2?\nAnswer: 3.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eepeeeeeeppleepep. Give prob of picking 1 l, 1 p, and 2 e.\nAnswer: 55\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -20127870 divided by -6\nAnswer: 3354645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/25 of a meter in millimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1700) - (-3 + sqrt(1700) + 2)) + sqrt(1700).\nAnswer: 1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -61 - 12. Let b = 130 + j. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*j + 2470 = 9*j. Calculate the highest common divisor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + 2. Let l(p) = 2 + 4*p**2 - 2*p**2 + p**t - p - 5*p**2. Let z be l(3). Let r(g) = g**3 - 1. Give r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.016195 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.536 + 0.106. Let z = 0.03 + m. Let y = -741.66 - -741.16. Which is the second biggest value?  (a) z  (b) -3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 3*u = 10, -2*s + 3*u - 5 = -3*s. Suppose 0 = -0*d - 5*d + 50. Solve 2*z - 2*l - d = 0, -s*z + 2*z + 7 = l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + -5 - (3 - 3)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*j - 126 = -109*j. Solve j = 2*x + 12*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1156214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182 is divided by 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*p**6 - 22*p**5 + 494*p**3 - 369021*p**2 wrt p.\nAnswer: 360*p**3 - 1320*p**2 + 2964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*6\/(-90) - 16\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkf when three letters picked without replacement from {f: 2, k: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8.991 - -9. Round l to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 949 divide 414763146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 2069436082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s**5 + 28128*s**4 - 49533272*s**3 + 295991328*s**2 + 345552732*s = 0 for s.\nAnswer: -1, 0, 7, 3513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from {h: 1, l: 2, m: 3, r: 4, j: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-17)\/(-6) + (-17)\/(-102))\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21290 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-5 - -3)*78\/(-4) is divided by (-68)\/(-2)*97\/194.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 79*n**2 + 22*n - 1. Let x = 295 - 292. Let s(l) = l. Let a(v) = x*s(v) + o(v). Find the second derivative of a(r) wrt r.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 182, 220, 258, 296?\n\"Answer: 38*d + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and -0.035?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 34720 (base 10) to base 5\nAnswer: 2102340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 164678 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1095*f - 5 - 6 + 1291*f + 11 - 2392*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -18545*c**2 - 300 + 21*c - 21*c + 300 in the form d*c**2 + o*c + n and give d.\nAnswer: -18545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27290*d + 27301*d - 297 = 0 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + 14*h**2 - 19*h - 12. What is the tens digit of o(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2019 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 2*p - 35 = -3*q, 3*p - 27 = -3*q. Let k be 0\/(-2) + -6 + 27. Suppose -q*c - 4 = k. Sort c, 5, -2 in increasing order.\nAnswer: c, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.3 - 0.3. Let j = -895\/4 + 421\/2. Let o = j - -13. Which is the second biggest value?  (a) 3  (b) o  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 + 22. Solve -5*n - 2 = -u*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -124339, -124320, -124303, -124288, -124275, -124264?\nAnswer: -124255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-30)\/(-9) + (-2)\/(-3). Suppose -9 - 7 = -z*u - 4*p, -5*p = -2*u - 6. Suppose 0 = 5*x - 2*o - 105, 7*o + 90 = 5*x + u*o. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, g: 5, t: 2}. Give prob of picking 3 g.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 3:08 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -405, -1640, -3705, -6600?\nAnswer: -10325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 + 10. Let k(r) = -r**3 - 2*r. Let h(a) = -3*a**3 - 7*a. Let p = 32 + -18. What is p*k(f) + v*h(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22 - -18. Let b be ((-47)\/4)\/(1\/k). Suppose 0 = 4*a - b - 1269. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 18 = 4*u, 5*u + 225*b - 242*b - 19 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 1:25 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (22 - 41) + -10 + (2 - -2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ktrttkkr. What is prob of picking 2 t and 1 k?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 54779.3 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of 17*w**4 - 16*w + 26*w + 27*w - 15. Differentiate f(l) with respect to l.\nAnswer: 204*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2161516 or 2161519?\nAnswer: 2161519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (204*x**3 - 205*x**3 + 25*x**2 - 166*x**2)*(-3*x - 2*x**2 + 3*x).\nAnswer: 2*x**5 + 282*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 + 12 - 29)*(0*v + 2*v + 0*v + 4*v + 2*v - 5*v + (-3 + 2*v + 3)*(-4 + 0 + 5) + 0*v + 2*v - 3*v + 3 - 3 + 2*v).\nAnswer: -204*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 28573536 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**4)**2*y**(-2\/13)*y**4 assuming y is positive.\nAnswer: y**(154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - 8 - (2 + -7 - -17).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l + 33 + 2 = 0. Sort -0.1, -1\/2, l in descending order.\nAnswer: l, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of 56*m**4 - 2*m**3\/3 + 296*m. Find the second derivative of k(g) wrt g.\nAnswer: 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*p**3 - 20760*p**2 - 2234259*p + 2255067 = 0 for p.\nAnswer: -867\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/6  (b) 2\/7  (c) -12  (d) -42  (e) 2\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 10:55 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*c - 11*c**3 - 2*c + 12*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2380219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oklt when four letters picked without replacement from {k: 8, t: 2, o: 2, l: 1}?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110463.\nAnswer: 3, 36821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = 7*u - 32. Let n = -0.03 + -0.37. Which is the nearest to 0?  (a) 0  (b) u  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -57.9 to the nearest integer.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.01 + -2.99. Sort -2\/11, s, 3 in ascending order.\nAnswer: s, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -136 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that p**2\/4 - 919*p\/2 + 117198 = 0.\nAnswer: 306, 1532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + -1 + 6 - (-16 + 43). Let t = j + 27. Solve -51 + 67 = t*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9594, 19182, 28768, 38352, 47934?\nAnswer: 57514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of -2\/15*o**3 + 1\/5*o**2 - 4 + 4\/5*o. Factor z(i).\nAnswer: -2*(i - 2)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 AM and 2:45 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 AM and 9:10 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 6*g - 42. Let i(x) = -7*x + 41. Determine -5*i(n) - 6*j(n).\nAnswer: -n + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(156))\/(-2*sqrt(6)\/sqrt(2)) + (sqrt(39)*-2)\/sqrt(3) + sqrt(13)*-3 + 4)**2.\nAnswer: -32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 114 + -116. Suppose 5*a + 2*n + 223 = 0, 0*n - 1 = -n. Let u be (-4)\/2 - a\/(-15). What is the fourth smallest value in -4, 1, u, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2767 - 2761. Solve 0 = -5*f - 2*b + 4 + k, 4*b - 20 = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 4391*x + 155400 = -3009*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x**3 + 19*x**2 - 15*x + 46. What is a(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (88 - 88 - 8*m)*(105*m - 98*m - 200*m - 223*m + 123*m - 181*m).\nAnswer: 3792*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -882*n - 3527. What is v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -10*r - 16. Suppose -3*v = -13*k + 11*k + 33, 0 = -4*k + 4*v + 64. Suppose k*s - 16 = 14*s. Let z(o) = -3*o - 5. What is s*z(m) - 5*w(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -120, -122, -130, -144, -164, -190?\n\"Answer: -3*a**2 + 7*a - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -11, 1\/3, -2\/5, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 2*t**3 - 4*t**2 - 6*t + 8. Let p be m(11). What is the highest common factor of p and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p - 2*p + p**2 + (-5*p - 4*p + 0*p)*(-5 + 4 + 0)*(-8*p - 7*p + 2*p) to y*p + z + o*p**2 and give o.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/846 and -53\/1128.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -9*k**2 + 6*k + 3. Let x be q(-2). Is x at most as big as -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1535500610 minus 3?\nAnswer: 1535500607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22158 or -0.35?\nAnswer: -22158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -79*v**2 - v - 14. Let a(y) = -158*y**2 - y - 24. Determine 3*a(p) - 5*b(p).\nAnswer: -79*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 48*a**2 + 56045*a - 56045*a. Let c(r) = r. Determine c(y(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1594, 1491, 1388, 1285?\nAnswer: 1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 3*r - 211. Let z(b) = 5*b - 315. Calculate 7*h(l) - 5*z(l).\nAnswer: -4*l + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*r + 171*r - 34 = 5*c, 5*r + 21 = -3*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10729 is divided by 148.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002473295622 rounded to 7 dps?\nAnswer: 0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**2\/3 - 809*o\/3 = 0.\nAnswer: 0, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 8875, 18497, 28861, 39967, 51815, 64405, 77737?\n\"Answer: 371*a**2 + 8509*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2859, 2857, 2855, 2853, 2851, 2849?\nAnswer: 2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 28  (b) -33  (c) 21067\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 2*d = 16, -4*d = 13 - 1. Suppose -14 - 450 = -l*g. Is 29 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**2 + 242*w + 2064 = 0.\nAnswer: -8, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4988*r - 4992*r + 22 = c, -3*r + 6 = -c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 12 = -7*t. Suppose 0 = -t*d - 10, 4*d + 74 = 2*x - 16. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/9 - 291\/9. Let i = -7 + -5. Let m = i - a. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-462)\/98 - -5) + (9\/(-7) - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6685221610?\nAnswer: 2, 5, 17, 31, 43, 29501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -38*y**4 - 38*y**4 + 77*y**4 + 112*y**3 - 2*y**4 - 38 wrt y?\nAnswer: -4*y**3 + 336*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 132*a - 785 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 + 8*r**2 + 4*r - 16. What is the lowest common multiple of 20 and u(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 2*u + 34, 2*u + 3*u - 25 = 0. Let k(n) = n**2 - 5*n - 6. Let f be k(v). Let x = -236\/3 - -78. Do x and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -649999*y - 6. Let v be f(6). What is v rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 16 = -1. Suppose -4 = -3*a - i*h, 2*a - h = 3*h + 32. Calculate the smallest common multiple of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 233825\/12 + -19486. Calculate the common denominator of u and (-626)\/(-560) + 4\/10.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*((y*y**(2\/29))\/y)\/y*y)\/y)\/y**(2\/5))\/(y**(-7)*y**(-1\/26)) assuming y is positive.\nAnswer: y**(25287\/3770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/((-280)\/399 + 4\/6). Suppose 3*f = -12, -3*y + 23 = -2*f - n. What is the tens digit of (y*(1 - -3))\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y = 4954 - 1642. Let m = 203 - y. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33699 by -5.\nAnswer: -33699\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add 586.943 and -0.4.\nAnswer: 586.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208738 is divided by 261.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 7 = 2*r, r = -r + 8. Let d be 2\/7*(3 + l). Which is the second biggest value?  (a) 0.2  (b) d  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1147241936 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -221 + 9*c**3 - 196 - 21*c**3 + 13*c**3 + 417.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - -128d6?\nAnswer: 128db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 145  (b) 5  (c) 4\/5  (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10222111 (base 6) in base 5?\nAnswer: 34023210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**2 + 25*h**3 - 23*h**3 - h**3 - h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13633 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/(-4) - 10\/(-15)*1. Let n = 1 + -1. Let v = 0.2 - n. Which is the nearest to -0.1?  (a) 1\/3  (b) v  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3357 divided by 1119\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.563, 0, -6.\nAnswer: -6, 0, 0.563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -502, -1008, -1518, -2032, -2550, -3072?\n\"Answer: -2*o**2 - 500*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 5*a - 11, 4*a - 3 = l + 9. Let u be 29\/9 + 0 + l\/36. Suppose -u*y - 3*c = -7*c - 50, -3*y + 40 = c. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 9:45 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -46, -128, -282, -532?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 9*a = -12*a - 20, 0 = -5*r + 4*a - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 4*s = 323, -3*y - 2*y - 2*s - 311 = 0. Let w = 89 - 119. Let f = w - y. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*q**2 + 17*q**2 - 2*q**2 + 45*q + 47*q + 49*q as p*q**2 + o*q + j and give o.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22601 + 21641. Which is bigger: -952 or j?\nAnswer: -952","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81.79646km in meters?\nAnswer: 81796.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(121) - -6*(sqrt(121) + (-1*sqrt(121) - sqrt(121))))\/(-1*sqrt(33)\/sqrt(3)))**2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 34 and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence atma when four letters picked without replacement from {t: 3, m: 2, a: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 7:47 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68 divided by -1.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*o + 38 = 54*o - d, 0 = 4*d + 91 + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 49*f**2 + 5*f - 9. Let k be s(2). Let v = 287 - k. Calculate the highest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/28)\/((-49)\/((-784)\/(-6))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29 + 26. Sort 0, 7, k.\nAnswer: k, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 31 = 11, j - 3 = -2*v. What is the units digit of (v - 1 - -6)*(-837)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = -28, 5*l + 36 = 5*h + 71 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 3*b**2 - 13*b - 28. Let m(p) = -17*p + 14. Let x be m(1). Is r(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 4:51 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/8*t**3 + 49\/8*t**2 + 101\/8*t + 51\/8 = 0.\nAnswer: -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -894*t + 895*t - 2. Suppose -t*j - 14*j = 1600. Which is bigger: -98 or j?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-309)\/18*-2 - 6\/18. Solve g = -34 + s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (186\/(-30) - 3)*(-310)\/124. Solve -z - 4*t = -s, 0 = -z - 8*t + 5*t + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 16. Let y(t) = -1. Let d(w) = j(w) - 3*y(w). Let h(c) be the first derivative of d(c). Let a(n) = -10*n**2. Determine a(h(m)).\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -988 - -983. Suppose -12*n - 3 = -11*n. Which is the third smallest value?  (a) -0.1  (b) n  (c) f  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/260597 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 634287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*d - 2*d**2 - 31*d - 14 + 2*d**4 + 9*d + 3 as z*d + t*d**2 + g*d**3 + x + i*d**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 276?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -1\/17, 10, 2.4, 11?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.03866419 - 0.039195. Round p to six decimal places.\nAnswer: -0.000531","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 AM and 12:17 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 959*t + 1511. Let g(d) = -78*d**2. Calculate l(g(y)).\nAnswer: -74802*y**2 + 1511","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 + (-6 - -11) - ((43 - 62) + 47).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2.94 and -129.349.\nAnswer: -132.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3986*(-1)\/8 - 6. Let b = -486 - r. Calculate the common denominator of b and 83\/4 - (5 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -q**2\/7 + 65*q\/7 - 18 = 0.\nAnswer: 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -106, -18, 216, 668, 1410, 2514, 4052, 6096?\n\"Answer: 12*p**3 + p**2 + p - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (22*m + 33 - 33)*(3*m - 2*m + 0*m)*(156*m - 18 + 162*m - 324*m) in the form r*m**2 + o*m**3 + n + p*m and give r.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15700\/3 - 5217. Let l(c) be the first derivative of 252\/5*c**5 - 30*c**4 + 0*c + 17 + 0*c**2 - n*c**6 + 16\/3*c**3. Factor l(m).\nAnswer: -2*m**2*(m - 2)*(7*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -676\/19*x**3 - 2\/19*x**5 - 174\/19*x**4 - 166\/19 - 666\/19*x - 1004\/19*x**2 = 0. What is x?\nAnswer: -83, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 195799, 2\/3?\nAnswer: 195799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1482672 divided by -1564\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -18  (b) 2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 42717 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 86 + -86. Solve y = -4*r - 10 - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -31\/40 - -2\/5. What is the second smallest value in 2\/17, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 122300 - 340?\nAnswer: 121410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -166 greater than -667\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -30659860 divided by -1505?\nAnswer: 20372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 2*q = -4*g + 132, -g + 18 = -3*q. Suppose 4*i + 100 = -40. Let m = i + g. Which is the closest to -1\/3?  (a) -1\/7  (b) 3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.04, -12, 1\/8, 6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -3*p + 13*p + 100, 5*f + p = -10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 5*g + 6, -n - 3*n = -4*g. Let f(x) = 2*x**2 + 5*x - 1. Let m(q) = q**2 + q - 1. Let u(s) = n*m(s) + f(s). Determine u(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.06 and -6.1701813?\nAnswer: -0.370210878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 132703 and 1061624.\nAnswer: 1061624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 412 a factor of 88420268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 62\/22 - 36\/(-198). Let y be (-3)\/(h\/(-23)) - 0. Suppose -y = -p - 7. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - (3 + -7)*1. Let m be (-16 + 19)\/((-6)\/s). Is 13 a factor of 5*(m + 342\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/13 and -295413 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 26, 102, 214, 350, 498, 646, 782, 894?\n\"Answer: -2*k**3 + 30*k**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -2) + -4 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 + -21. What is the third derivative of -6*s**a + 10*s**4 - 2*s**4 + 2*s**2 wrt s?\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14521470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19.669 - -47.669. What is the fourth smallest value in s, 6\/7, 2\/13, -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-16723)\/16597 + -8 - 81\/(-9). Is 1 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -99002, -98986, -98970, -98954?\n\"Answer: 16*h - 99018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 0 + 1 - 1 - 170*x. Let r be p(-6). What are the prime factors of r\/(-12)*6\/(-10)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94045*u**3 - 389545*u**2 + 295280*u + 220 = 0. Calculate u.\nAnswer: -2\/2687, 1, 22\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*u**2 - 38*u**2 - 29*u**2 + 170*u**2 - 30*u**2 - 29*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**3\/11 - 20*h**2\/11 + 24*h\/11 + 144\/11.\nAnswer: 2*(h - 6)**2*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of 5*v**6\/6 - v**5\/15 - v**4\/3 - 155*v**2. What is the third derivative of q(w) wrt w?\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68 + 50 - (3 + -1 + -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*p + 0*p - 4*p - 2*p**2 + 6*p**4 wrt p.\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20830 + -104149\/5. Let j(f) = f**3 - 7*f**2 + 5*f + 5. Let l be j(6). Put l, 11, c in increasing order.\nAnswer: l, c, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(0 + (2*sqrt(126)*4 + (sqrt(126) - 6*-2*sqrt(126)))\/(sqrt(21)\/(sqrt(3) + sqrt(9)\/sqrt(3)) + sqrt(700)*-1)).\nAnswer: 378*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 PM and 12:16 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 182*a**4 + 24*a wrt a.\nAnswer: 2184*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -3. Suppose -2*r + 35 = -y*h, -2*h + 3 = 2*r - 7. Let p = 2 + 0. Calculate the least common multiple of p and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t + 7. Let i be f(-7). Suppose 4*p - p - 9 = i. What is the common denominator of (p\/18)\/(12\/(-711)) and -63\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1155981 is divided by 603?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 293968984 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -30, -13482262, -5 in decreasing order.\nAnswer: -5, -30, -13482262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -36*r**2 + 2*r - 4. Let i be q(3). Let u = -319 - i. Solve 0*x + u*x + 4*s = -35, -15 = 3*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62, -252, -568, -1010, -1578, -2272, -3092?\nAnswer: -4038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of s**6\/3 + 19*s**5\/5 - s**3\/3 + 27*s**2\/2 - 307. What is the third derivative of i(n) wrt n?\nAnswer: 120*n**2 + 456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 957971153 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: Suppose 3*h - 10*h = 0. Suppose h = 3*f + 307 + 8. What is the units digit of (-29 + -1)*(-7)\/(f\/(-78))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 35499, 57550, 79601, 101652?\n\"Answer: 22051*j + 13448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 6*o**2 - 1. Let z be y(1). Solve 0 = z*k - 4 - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of 512*t**7\/105 + 977*t**3\/6 + 29*t**2 - 12*t. What is the derivative of x(l) wrt l?\nAnswer: 4096*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*g = -6737*p + 6733*p + 14, -5*g = -4*p + 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 412 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1847)\/3)\/(4\/(-24)). Suppose o = 5*v + 3*o - 9235, o + x = 2*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - q**2)*(-1533 - 3607 + 672) + (-6 + 1 + 3)*(q**2 - 2*q**2 + 2*q**2).\nAnswer: 4466*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.5?  (a) -4  (b) -2\/3  (c) -7  (d) -1.217  (e) -4\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-61)\/183*-3*7\/(-4)*(-32)\/(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*s**4 - 3*s**4 - 4*s**4 - 108*s**3 - 12*s**4 + 108*s**3 + (2*s**2 + 0 + 0)*(-s**2 + s**2 + s**2) + 109*s**2 - 14*s**4 - 109*s**2 + 5*s**4 - s**4 - s**4.\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6121340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -9058 (base 13) in base 6?\nAnswer: -231514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1334 from -62.\nAnswer: -61.8666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 0)*(3*s**4 - 5*s**4 - 3*s**4).\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from ieiieiiii.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 11 - 27\/(4968\/1955). What is the fourth biggest value in -1\/4, 11, 141, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mccmccc. What is prob of picking 1 m and 2 c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 1 - 5, -4*z + 2819 = -3*v. Let u = v + 1391. Let b be (1 + 0 + -2)\/((-30)\/u). What is the highest common divisor of b and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -52, -112, -178, -250?\n\"Answer: -3*k**2 - 51*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4216 and 29016.\nAnswer: 493272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20.7 and -1.\nAnswer: -20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -2*d - 0*m - 13, m = -d - 8. Let k(n) = -2*n + 1. Let u be k(-1). Let t be ((-18)\/6)\/u + 0 + -8. Is t at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 653, 1290, 1903, 2492, 3057?\nAnswer: 3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1978351+-0.3\nAnswer: -1978351.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/1722 and 8\/451.\nAnswer: 18942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 461578 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1333060671?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -47.53 - -47.43. Which is the nearest to t?  (a) 1  (b) 0.3  (c) -28.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29\/4 - 7. Let x be (-4 - 192\/(-99)) + 2. Let d = x + 13\/33. Put 0.5, q, d in descending order.\nAnswer: 0.5, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 757902831.\nAnswer: 3, 7, 23, 1569157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -65195, -65459, -65899, -66515, -67307, -68275?\n\"Answer: -88*i**2 - 65107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 11 = 2*y, -201*y = -200*y + 2*q - 3 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - -112012222203?\nAnswer: 112012222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {u: 1, p: 1, c: 2, k: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2623 + -2599. Sort p, -4, 2, 1 in decreasing order.\nAnswer: p, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31444242 to the nearest integer?\nAnswer: 5608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 50 + -38. Calculate the remainder when 58 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w**3 - 7*w**2 + 146*w + 6. Let k be a(7). Let n(j) = 15*j**3 - j**2 - j. What is n(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/6*58\/2. Let q = 25 - h. What are the prime factors of 696\/16 + 2\/q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -233.43 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/92280 and -191\/1084290.\nAnswer: 4337160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 167\/519 - -2\/173. Let z = -1367.7 + 1446. Let a = 78 - z. What is the third biggest value in w, a, 2, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 6. Suppose -2*s = n, -4*o - 2*s = -0*s. Suppose -z - z = o. Solve 2*d + d = z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -389*f + 385*f = 2*b - 78, 2*f = -4*b + 30. Calculate the remainder when 701 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 4. Let m(j) = -64 - 3*j - 37 + 102 + 2*j. What is m(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/2*16\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 25786933 * 1.8\nAnswer: 46416479.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*u - 956 = -16*u + 3*s, -478 = -2*u + 5*s. Suppose 20 = u*a - 234*a. Factor 0 - 6\/7*d**2 + 0*d + 8\/7*d**3 - 2\/7*d**a.\nAnswer: -2*d**2*(d - 3)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -763 + 373. Let i = g - -385. What is the nearest to 1\/3 in -0.2, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b - -6406?\nAnswer: 63d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 359447.8 + 0.6809.\nAnswer: 359448.4809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k + 2*k = -21*a - 34, 4*a + 4070*k + 51 = 4075*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32 - (64 - -63 - 116)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 41 + -47. Let n(p) = p**3 - p**2 - p - 1. Let v be n(2). What is the units digit of k\/(-1) - v\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**3 + 30*v**2 - 13*v - 94. What is the remainder when 2524 is divided by p(-15)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 33*t + 365. Let h be y(-11). Solve -u - 11 = 3*m, -h*m - 15 = u + 3*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 7 = -2*z, z = -4*z + 3*h + 12. Let s = 0 + z. Solve 0 = f - v - 0*v + 3, -s*f = v + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.1 - 4.4. Which is the nearest to -3\/4?  (a) 2  (b) g  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 2, -2, 23 in ascending order.\nAnswer: -3, -2, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of -u**4\/24 + u**3\/3 - 1013*u**2. Let z(d) = -2*d + 1. Let i be z(-1). Calculate k(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4674918307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4604\/3 - -1432. Let w = v - -82. Let u = w - -21. What is the nearest to -0.1 in -2\/19, u, -1\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22951008 divided by 5737752.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - v + 6. Let y be m(0). Suppose 2*r - 3 = 3*b, 5*b + 0*b = 3*r - 4. Suppose -5*p = -r*p - y. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 - 7*q**2 - 12*q + 24. Let u be g(12). Suppose 4*m - u = 400. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.0184  (b) 7.1  (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 221042647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 73\/(106288\/(-156))*(4\/(-3))\/1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of 2*s**3\/3 - 3. Let z(p) = -3*p. Let v(f) = f. Let i(c) = -2*v(c) - z(c). Calculate i(j(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 116*c + 4. Let b(f) = -23*f - 1. Let i(m) = 16*b(m) + 3*o(m). What is the tens digit of i(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1528.52 - 11279912\nAnswer: -11281440.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -2, -32, -18\/25, -0.01, -1, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w + 645*w**2 - w**3 - 644*w**2 + 2*w**3 as r*w + a + n*w**2 + v*w**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 9*x - 55. Let r(b) = 5*b - 30. Let q(f) = -6*l(f) + 11*r(f). Let i(c) = 88*c**2. Calculate q(i(t)).\nAnswer: 88*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzzjjbjj. What is prob of picking 2 z and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2182484 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-264)\/(-396))\/((-25)\/(-90)*-2).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/61392 and 47\/690?\nAnswer: 7060080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/10 - (-303)\/15. Let p = -4 + 4. Suppose p = 3*u - 4*u + g. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*m = -14*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 46, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(3136))\/(sqrt(77)\/sqrt(11)*-6).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -64300 times 10\nAnswer: -643000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*x**5 + 2*x**4 + 2724*x**2 - 238*x wrt x.\nAnswer: -40*x**3 + 24*x**2 + 5448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 2*p = 8, 0 = -3*x + 3*p - 4 - 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*z - 14 + 42. Factor -2\/7*t**z + 0 + 0*t.\nAnswer: -2*t**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35340 (base 6) in base 4?\nAnswer: 1033230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*x**3 + 31*x**3 - 6*x**3 - 46*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2617 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -365*g - 731. Calculate t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in eleven eighths of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 7*r + 60 = 0. Let x(h) be the third derivative of -h**5\/60 + 7*h**4\/24 - 3*h**3\/2 - h**2. Calculate x(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 5, 17, 45, 95?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 56\/(-2)*((-1)\/(-5))\/((-8139)\/27130)?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 10*u = 6. Let o be 1\/(u\/(-15)*-5). Suppose -259992 = -g + 2*c, -4*g + c = -o*c - 1039984. What is g rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + 1 - (8 + 13 + (-20 - 0)) - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = -4*b + 2, 0*o - 2*o - 6 = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -61*n**3 - 2*n**2 - 7*n + 23. Is m(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1001110000101010011 (base 2) to base 16\nAnswer: -4e153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10\/20)\/(1\/10*-1). Find the common denominator of -133\/6 and ((-3536)\/480)\/(4\/h) + -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 40 = -4*u, 4*u - 40 = j - 0*j. Factor -3*b**3 + u + 4*b**2 + 5*b**2 + 0*b**3 - 7 - 9*b.\nAnswer: -3*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -2*n + k + 8600008, -4*k = 4*n - 17199992. What is n rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70072 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 be (1*-3)\/((-6)\/(-8)). Suppose -3*w + 11 = 2*b, -5 = -4*w + 2*b - 9. Put w, t, 3 in increasing order.\nAnswer: t, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of -r**4\/12 + 2*r**3\/3 + 2748*r**2. Let f = -16 + 22. Calculate n(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - t + 64 = 4*c, 3*c - 36 = -3*t. Let h be 4\/(5\/(-2) - -2). Let f = c + h. Solve -15 = -5*l + 3*l - 5*y, -l + f*y - 15 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 times -149175?\nAnswer: 1790100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3871.242+-0.2\nAnswer: 3871.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/6)\/((-81)\/756*-7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -4.3. Suppose 16*w - 14*w = 8. Which is the nearest to 1?  (a) n  (b) 0  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 79282, -5, -1, -6 in descending order.\nAnswer: 79282, 5, -1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 6*h**2 - 2*h - 4. Let l be i(-2). Let y(v) = 7*v**2 + 8. Let n(q) = q**2 + 1. What is l*n(d) - 3*y(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1402\/7 + -200. What is the closest to c in -0.5, 0.2, -32?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (28 - 26)*(-10)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -a*j**2*n + 29786*a*j*n - 10*j**2*n - 76852*n with respect to a.\nAnswer: -j**2*n + 29786*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -17*g**2 - 6*g + 7. Let f be r(-5). Let w = f - -3683. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 4*v**2 + 701*v + 20789. Determine w(-38).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 276632 (base 8) in base 11?\nAnswer: 6743a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 183 - 286. Let s be 0 + -1 - (n - 2). Suppose 0 = -t + 1, 0 = -4*f + 3*t + t + s. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -70*d**2 - 1952*d - 13347. Calculate x(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 413 + -3?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 63 - 60. Suppose 0 = 5*u + 2*f + 165, -43 = k*u + 2*f + 52. Let v = 59 + u. What is the remainder when 116 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*j = 25*j + 2895 - 4515 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 31, 44\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.084 + -3.204. What is the second smallest value in 4\/25, p, 3\/2, 5, 2?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 933525667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**4\/12 + r**3\/3 + 2*r. Let i be o(2). Solve i = -5*z - 3*h - 34, z + 6*h - 4*h = -11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 11*s**2 + 26*s - 65. Let y(q) = 34*q + 145. Let x be y(-4). Let m be b(x). Solve m*z - 9 = 10*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = 2*l - 6, -42*l + 18 = -39*l + 3*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60688134?\nAnswer: 2, 3, 13, 167, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 139503.36 months in centuries?\nAnswer: 116.2528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 545*b = 552*b - 21. Solve -b*c + 30 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*r = 312*r + 315*r - 10178 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 y when three letters picked without replacement from pppyyyppppppppp.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 109933622 to the power of 1\/2, to the nearest integer?\nAnswer: 10485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, -5, 4, -2, 3.\nAnswer: -35, -5, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -998*g + 1987*g - 995*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -474292.3 rounded to the nearest one hundred?\nAnswer: -474300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2063  (b) -5  (c) 2\/19  (d) 52\/9  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 6*n - 23. Suppose 0 = 3*l - 7*l. Suppose l = -7*p + p + 36. Does 3 divide f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -3*y**2. Let n(f) = f**3 + f**2 + f - 7. Let x(q) = -q + 1. Let p(i) = -n(i) - 5*x(i). Let g be p(-3). Let r(c) = -8*c - c + g*c. Calculate r(t(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, t: 1, n: 3}. Give prob of picking 1 s, 1 t, and 2 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 272 + -97. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5040) + -1*sqrt(5040) - sqrt(5040))\/(sqrt(605)*-2) + (sqrt(7) + (5*sqrt(175) - sqrt(175))**2 - sqrt(7) - (-4 + sqrt(21)\/sqrt(3))).\nAnswer: -5*sqrt(7)\/11 + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1fcdb (base 16) to base 3\nAnswer: 20121200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 31567813?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101241 (base 5) in base 11?\nAnswer: -13264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of 2*v**4\/9 - 1102*v**3\/27 - 46*v**2\/3 + 7873. Let m(o) = 0. What is o?\nAnswer: -1\/4, 0, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2198 - 2151. What is the third smallest value in 1\/7, 0, z, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-3)*1736\/217\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*u - 44 = -0. Suppose 2*q = -a + 2483, -u*q - 3*a + 2515 - 26 = 0. What are the prime factors of q?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 3*p**5\/5 + 12*p**4\/5 + 9*p**3\/5 - 12*p**2\/5 - 12*p\/5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -44, -2, 2, -1\/2, -1\/11, -7 in decreasing order.\nAnswer: 2, -1\/11, -1\/2, -2, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 365\/1113 - -2\/371. Let f(c) be the second derivative of h*c**2 + 0*c**3 + 4*c - 1\/15*c**5 + 0 - 1\/6*c**4. Let f(o) = 0. What is o?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 - -41\/4. Let n = 46 - 46.5. Let l = -658 + 3287\/5. Which is the second smallest value?  (a) l  (b) 5  (c) p  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange r**2 - 13*r**3 + 6 + 12*r - 11*r - 2*r + 2*r - 5*r to b*r + v + x*r**3 + t*r**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14*w + 26*w**2 + 19*w**2 - 65*w**2 wrt w?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -85165445?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttttrsltrttlst. Give prob of picking 1 l and 1 t.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -109 - -156. Let g = 145\/3 - k. Let v = 5 + -3. Is v < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6963 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 966307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*y - 17. Suppose -39 = y*x - 239. Suppose -x = -7*k + 3*k. Calculate the remainder when 39 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2352 or 2239?\nAnswer: 2239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 8230110 and 34.57?\nAnswer: 8230075.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 - 11*i - 4. Let t(z) = -z + 1. Let q be t(11). Let y be j(q). Solve p + 15 = y*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -3*t**2. Let j be (2\/(-1))\/(6\/(-3)). Let b(g) = g. Let z(o) = 2*o**2 - 3*o. Let l(r) = j*z(r) + 3*b(r). Determine n(l(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llllllllxllllllllxll.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1370*f**4 + 1371*f**2 wrt f?\nAnswer: 32880*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -1. Let k(t) = -32*t + 5. Determine k(m) + 4*q(m).\nAnswer: -32*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3088\/7 - -55451\/126. Let c be 9\/3 + 7561\/(-13) + 4. Let x = -22381\/39 - c. Find the common denominator of u and x.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {m: 1, i: 1, s: 3, z: 1, v: 3, t: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 320 = -8*b - 6*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41002 is divided by 6830.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 - 18219.460190816.\nAnswer: -18219.160190816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4764, -13106, -21448, -29790?\n\"Answer: -8342*r + 3578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -16994638 and -9?\nAnswer: 16994629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 - 6. Suppose -z - 3*z = -3*m + 100, -3*z = -6. Suppose 0 = -v*g + 6*g - m. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 317298 (base 11) to base 16\nAnswer: 7be44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*r + 63*r = 12. Sort 1\/3, r, -3\/2 in increasing order.\nAnswer: -3\/2, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in ninety-one quarters of a century?\nAnswer: 27300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.3191609 microseconds to minutes.\nAnswer: 0.000000021986015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -4*t - 16, -2*t = -5*z + 3. List the prime factors of (z + -153)*(-11)\/22.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 2)*(-f - f + 0*f)*(559 + 490 - 443 + 336 + 325).\nAnswer: -5068*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-104)\/390)\/(((-18)\/(-15))\/(-1))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y**2 + 9*y + 5. Let m be n(-6). Let p = m - 12. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.83 times 133\nAnswer: 110.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1331 + 23?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.4 + -1.7. Let p = 28\/69 + 6\/23. Which is the second biggest value?  (a) -0.1  (b) p  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4730*x - 4463 + 288263 for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/6888 and ((-313)\/(-5634))\/((-8)\/906)?\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 28 = 5*u, -37*k = -41*k + 2*u + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -556*z + 5. Is h(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.29 * -11\nAnswer: 3.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/5*540\/(-2). Suppose -4*v = -4*d + s, -4*d + v = -0*v - 102. Calculate the remainder when 49 is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -2*j + 105 + 40, -5*j = 3*c - 390. What is the greatest common divisor of 25 and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 99351390 and 62.\nAnswer: 3079893090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -54 + 31 + 14145\/552\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -1085  (b) 13  (c) -175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 z when three letters picked without replacement from cizzgi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -48, -29, -6, 21?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1434025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20319454?\nAnswer: 2, 17, 251, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -q**3\/3 + q**2\/2 - q + 31. Let m(l) = 4*l**2 - 3*l. What is -m(j) - 5*o(j)?\nAnswer: j**2 - 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 12:36 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -487, -605, -755, -901, -1007, -1037, -955?\n\"Answer: 6*c**3 - 52*c**2 - 4*c - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 133*z**2 + 18*z**2 + 77*z**2 + z + 3 - 15*z**2. What is the tens digit of x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -7*n + 3. Let i be z(2). Let k = -1106 + 1107. Which is the biggest value?  (a) i  (b) -1\/2  (c) k  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -55454215 (base 6) to base 11.\nAnswer: -a418a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 76717.5 and 0.343.\nAnswer: 26314.1025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -49 - -100. What is the highest common factor of 34 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 367482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 146248606567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.1 - 5. Let f = k - 1.1. What is the fourth smallest value in -3, f, -1\/7, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1334 (base 5) to base 13\nAnswer: -13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/33869?\nAnswer: 2\/33869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 849.1?\nAnswer: 2547.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -232 - 1011?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*w + 3*f + 12, -w + 8 = -4*f + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of 137*n**5\/20 + n**4\/6 + 163*n**3\/6 + n**2 - 31*n - 1. What is the second derivative of c(u) wrt u?\nAnswer: 822*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 - 5.1. Let a = -291 + 294. Put -3, a, -4, i in descending order.\nAnswer: a, -3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*u + 6*u - 12*u - 10*u to the form n*u + t and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 5451.\nAnswer: -4\/5451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 782.0989 millilitres in litres?\nAnswer: 0.7820989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t + 3*t - 4*t**3 - 3*t)*(-2*t**2 + 1 - 16*t + 16*t).\nAnswer: 8*t**5 - 6*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 AM and 2:57 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -3*w + 4. Let q(k) = k**3 + 37*k**2 + 3. Let n(g) = 8*g + 43. Let f be n(-10). Let u be q(f). Calculate m(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -453, -1809, -4071, -7239, -11313, -16293?\nAnswer: -22179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*l - 48*l + 4*d = -10, d - 1 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 - 10*s + 27. Let f be r(-12). Suppose 2*a - a = 3*c + 178, f*a + 5*c - 576 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 599549813?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*j**2*n**2*r**2 - 25*j**2*n**2*r + j**2*n**2 - 29*n**2*r**2 - n**2*r wrt r?\nAnswer: -6*j**2*n**2 - 58*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 - 9*o + 11. Let c be j(8). Suppose -8*u + c*u - 50 = 0. Let y be (-4)\/u - (-71976)\/60. Round y to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 2*s**5\/9 + 14*s**4\/3 + 70*s**3\/9 - 130*s**2\/9 - 104*s\/3 - 152\/9 = 0.\nAnswer: -19, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 3*i - 13. Let w be k(8). Let q(d) = -3*d - 2. Let j be q(-2). Solve -6*n + 2*n - 2*h - 18 = 0, -3*n - j*h - w = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2050057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-3)*z**(-2\/3))\/((z\/(z\/(z\/(z*z\/((z**5\/z*z)\/z)*z*z))))\/z*z**(2\/11)) assuming z is positive.\nAnswer: z**(-127\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of 2\/25*w**5 + 8\/5*w - 11 - 1\/5*w**4 - 2\/5*w**3 + 4\/5*w**2. Find c, given that x(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + -2 + (9 - 4). Let o(p) = 3*p**2 - 3*p + 3. Let m be o(i). Let u = m + -25. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -432601516 divided by 2.\nAnswer: -216300758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -3*s - 12, -3*s = 2*n - 5*n - 48. Let a be (198\/6)\/((-3)\/n). What is a rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gfgf when four letters picked without replacement from {g: 2, f: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5\/6, -2\/13, 8, 1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 5 + 5. Let o(j) = 2*j**3 - 13*j + 17. Is 6 a factor of o(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - -12021002310?\nAnswer: 12021002310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8851 divided by 5?\nAnswer: 8851\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 9\/35, -2\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-29 + 26)\/(1 - 10\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 14 - a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -351762, -351918, -352074, -352230, -352386?\nAnswer: -352542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + 2 - -2*sqrt(19)*-2)**2.\nAnswer: -8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1557416\/225 or -6921?\nAnswer: -1557416\/225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -2102000, 3, 4, 5, 0.1, 9 in increasing order.\nAnswer: -2102000, 0.1, 3, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -250.8 - -250.7. Let p = 22.27 - 23.3. Is p < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 + 19*a**2 + 217*a + 914. What is b(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 AM and 9:56 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -37.7 * -0.01.\nAnswer: 0.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 5 - (0 + (6 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 11:24 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (14 + -9 - (-3 - -13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, -6 in ascending order.\nAnswer: -6, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13302 = 437*a - 11170 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 672443\/3 + -224147. What is h in -l*h + 0 + 7\/3*h**2 = 0?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60575\/(-24230)*(-4)\/6*6\/45\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 25399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1670701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -3*j + 18. Let w be d(6). Let i(q) = q**3 + q**2 - q + 8. Calculate i(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1217 + 7727 = 109*l + 101*l for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 52, -0.5?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.6509666 years?\nAnswer: 0.006509666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 602929*i**4 - 376157*i**2 wrt i?\nAnswer: 14470296*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -5*y**2 - 4*y - 4. Let p(j) = -11*j**2 - 9*j - 9. Let v(a) = -6*p(a) + 13*r(a). Let k be v(-2). Factor 1\/2*m**k + 1\/2 + m.\nAnswer: (m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 364 and 2771236.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3 - 17014*s**2 - 1027808*s - 1987544.\nAnswer: 2*(s - 8567)*(s + 2)*(s + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -87*f + 187 + 172 - 98 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of 5*g**3\/6 - 2*g**2 - 6*g. What are the prime factors of l(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f and 1 d when four letters picked without replacement from {f: 7, d: 6}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 180\/(-80) + 3*21\/12. Let f = 2 - 1. Let q be f + (2 - (6 + 2)). Put -1, t, q in descending order.\nAnswer: t, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9421.744 litres in millilitres?\nAnswer: 9421744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**2 + 1145*a - 19544. What is h(18)?\nAnswer: 1714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 844 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 69*q + 2254. Is c(72) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, p: 1, v: 1}. What is prob of sequence vd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 249\/4*n**2 - 1\/4*n**3 - 20667\/4*n + 571787\/4 = 0?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -10*t**2 - 2*t - 1. Let i be d(-1). Let a = 3 - i. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of -t**6\/180 - 3*t**5\/5 - 65*t**4\/3 - 1352*t**3\/9 - 34*t**2 + 184. Let y(s) be the second derivative of n(s). Factor y(u).\nAnswer: -2*(u + 2)*(u + 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2+3429995619353\nAnswer: 3429995619352.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = 4*m + 16, -k + 40*m = 44*m + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of z**4\/3 + 2*z**3\/3 - 3*z**2. Let q be b(3). Suppose 2*v + 4*y - q = 0, 5*v = -4*y + 50 + 26. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 682386280 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-15 - (-24 + 11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -217453516 by -3259.\nAnswer: 66724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -0.3, -2, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1345, 2779, 4275, 5833, 7453?\n\"Answer: 31*y**2 + 1341*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 737168605?\nAnswer: 5, 1709, 86269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -4 + 0 + -1 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/10)\/((-3)\/(-15)). Suppose 0*d = 4*d + 4, -3*w = -5*d - 14. Suppose -s*y + w = -3. Sort 5, 0, y in ascending order.\nAnswer: 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 15 = 3*p, 5*p + 23 = -9*m + 6*m. Let g(u) = 9*u**2 + 6*u - 4. Let x(b) = -b**2 - b + 1. Give m*x(r) - g(r).\nAnswer: -3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 303 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2018\/189 + -75\/7. Put -0.1, r, 3\/5 in decreasing order.\nAnswer: 3\/5, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**3 - 94893*u**2.\nAnswer: 3*u**2*(u - 31631)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (84000\/(-1))\/((-16)\/(-160)). Round a to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 4 + 4)*(-2 - 1 + 1) + (0 + 6 - 2)*(-2*m + 0 + 0) + (0 - 2 + 4)*(4*m + 0*m - 6*m) - 10*m - 6*m - 6*m.\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8.9 + -9. Let i = 0.1 + k. What is the second smallest value in -3, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45001, 44877, 44763, 44665, 44589, 44541, 44527, 44553?\nAnswer: 44625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (7 - (9 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rlarrlrarnarlaa. What is prob of sequence al?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/3))**(-6)\/(z*z\/(z\/z**(-4\/15))*z**6\/z) assuming z is positive.\nAnswer: z**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5*(sqrt(720) + sqrt(720)*2) - (sqrt(720) + (sqrt(720)*-2 + -4 - sqrt(720))) - (-3 + -3*sqrt(720) + 4)**2).\nAnswer: -552*sqrt(5) + 12954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -7*n**2. Let v(s) = s - 4. Suppose -r - 20 = -5*r. Let y be v(r). Give j(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 15) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4 + 1\/(-2)*0. Let s be 1\/v*12\/9*-3. Let l(z) = 85*z**2 - z + 2. What are the prime factors of l(s)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2321*b**3*q**2 - 2236*b*q**3 - 1207*q**3 + 2580*q wrt b?\nAnswer: 6963*b**2*q**2 - 2236*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2505303 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/7)\/(12*(-1)\/(-21)). Let p(s) be the first derivative of -17 + 32\/9*s**a + 8\/3*s + 10\/27*s**3. Factor p(c).\nAnswer: 2*(c + 6)*(5*c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-1\/13))\/((c\/(c\/c**1))\/c))**7*(c**(6\/13)\/(c\/(c\/(c**(-3)\/c))))**1 assuming c is positive.\nAnswer: c**(142\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -6*w + 17. Let x be c(0). What is the highest common divisor of x and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-1517\nAnswer: 151.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.01 - -0.39. Which is the closest to 2?  (a) -0.1  (b) -0.2  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -497*x = o - 503*x + 49, -210 = -33*o - 5*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) -2\/43  (c) -7  (d) 28  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -50664*m**2*z**3 + 21*m*z**3 - m*z + 2*m - 191 wrt m?\nAnswer: -101328*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8\/39 + 22\/273. Factor 0 + 2\/7*u**2 - c*u.\nAnswer: 2*u*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 139 + -70. Let l = m - 66. Differentiate 19*p**l - 7*p**3 + 27 - 14*p**3 with respect to p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -5 + (sqrt(1008)*5*5)**2 + sqrt(1008).\nAnswer: 12*sqrt(7) + 629991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1030013 (base 4) to base 7.\nAnswer: 20126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5 + -9 - (0 + 11))\/(-1). What is the tens digit of (4 + -1)\/(11\/(50270\/x))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20 + -20. Let a(z) = z**3 + z**2 + 1 + 0 + 0*z**3 - 2*z. Let l be a(-2). Solve -c + 3 + l = k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22525*a**2 + 22521*a**2 + 3*a + 22 - 3*a.\nAnswer: -4*a**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1456?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 511*u + 3*u**2 - 509*u - 1 - 2*u**2 to r*u + s*u**2 + h and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 265 and 424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2542291 - 0?\nAnswer: 2542291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-3 + -6 + 2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1297790 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 700717\/89 or 7873?\nAnswer: 700717\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9542 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 615 is divided by 171.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of -v**3\/6 - 7*v**2 - 4*v. Let b be h(-19). Suppose 111 = b*m - 99. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o**2 + 22*o + 67. Let a be n(-4). Let m(v) = -3*v**2. Let w be m(-1). Let x = w + a. Solve 4*f + 2*b = x*f + 8, 0 = -5*f - 5*b + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-175320 + 87554 + 87586)*(5*g - 2*g - 4*g) as j + d*g and give d.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 3, 8334 in ascending order.\nAnswer: -7, 3, 8334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10038557281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3003058 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from auzuuzrau. What is prob of picking 1 z and 1 r?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3928\/15 + 262. Sort -2\/21, 5, h.\nAnswer: -2\/21, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 148603304 + 620656891. Let c = 769260199.59999931 - z. Let x = -4.6 + c. What is x rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.266 - 0.034. Let k be -4*(-9 + (-636)\/(-72)). Let r = -3 - -7. What is the closest to 1 in r, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 313 - 414. Let a = q + 125. What is the highest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 5*l**3 - 12*l**2 - 7*l + 8. Let i(q) = 2*q**3 - 6*q**2 - 3*q + 4. Let j(z) = 3*d(z) - 7*i(z). Give j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-2100)\/(-275)*(-1)\/((12\/(-99))\/(-2)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(3\/4)\/r**(-3\/5))\/(r**(-2\/7))**49)**36 assuming r is positive.\nAnswer: r**(2763\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 24. Let t = -27 - k. Let s = t - -49. Solve -2*y + s = 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -53.3*0.0959722\nAnswer: -5.11531826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.013 - -0.113. What is the closest to z in -1.4, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 24*q**2 + 45*q + 85. What is the tens digit of g(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 5*g + g. Suppose 3*t + s - 19 = t, g = -t + s + 5. Factor 4*f**2 + t - 1 + 2*f + 10*f + 1.\nAnswer: 4*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192317688.\nAnswer: 2, 3, 1291, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -8*m**3 + 3*m + 2. Determine n(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -5. Suppose 5*m + 5 - 7 = 2*i, -4 = -2*m. Calculate the remainder when i is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2361563, -2361561, -2361557, -2361551, -2361543, -2361533, -2361521?\n\"Answer: b**2 - b - 2361563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -50 from 779435043.2.\nAnswer: 779435093.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3523710 rounded to the nearest ten thousand?\nAnswer: 3520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*c**2 + 52*c**2 - 118*c**2 + 42*c**2 + 46*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-1) + 34 - 2 - 3. Let v(q) = n*q - 50*q + 25*q. Let d be v(-7). Let j(y) = -y**3 - 7*y**2 - 4. Give j(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000195748522 to six decimal places.\nAnswer: -0.000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + 0. Let n be (g - 0) + -2 + 3. What is the greatest common divisor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -84\/95 + 27793\/31540. Which is bigger: 1\/2 or l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 173 = u, 3*t + 1153 = 5*u + 240. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 8  (b) -0.3  (c) -133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17286 + 17288. Is w smaller than 1856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -173953, -173951, -173949?\nAnswer: -173947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0.3, -99, -2\/3, -11, 8 in ascending order.\nAnswer: -99, -11, -5, -2\/3, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1666 and 42194?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10526615 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 74, 91, 118, 155?\n\"Answer: 5*a**2 + 2*a + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + (2 + -3 - -2). Suppose -2*c - 5*b = -77, 0 = -j*b - 0 + 3. Suppose -415*y + 1536 = -287*y. Calculate the highest common factor of c and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 10*i - 79. Let g be t(-22). Let y = g + 298. Let m(r) = 11*r**2 + r. Give m(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/4542584 and -85\/234288.\nAnswer: 81766512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6560787449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 380 a factor of 485864960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*9*62\/93)\/(3\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10629*r + 10034*r - 216*r - 2079*r)*(2*r**2 - r**2 - 3*r**2) to p*r**2 + u*r + w + b*r**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3*d - 331 = 2*d, 5*h - 5*d = 865. Calculate the remainder when h is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 137100029 to the nearest integer?\nAnswer: 11709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-6)*(-18)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4912815?\nAnswer: 3, 5, 193, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 711211.1 hours in nanoseconds?\nAnswer: 2560359960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 107 - 2*p**3 - 227 + 92 - p**2 + 26*p**4 + p**2 in the form g*p + o*p**2 + n + v*p**3 + q*p**4 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2943358 is divided by 367?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tltx when four letters picked without replacement from {t: 2, p: 6, i: 3, x: 2, l: 1}?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9042 (base 11) in base 6?\nAnswer: 131401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -122, 1.7, -1, -4\/5, 9, -1\/3?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0011932357 rounded to 6 dps?\nAnswer: -0.001193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 5*y - 6*y + 2*y. Let o = -7 + 9. Let l(h) = 2*h**2 - 6*h**2 + 0*h**o. Give u(l(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -176*g + 175*g + 18 = 0. Let f = 5 + 2. Suppose f*j - 288 = 3*j. Calculate the greatest common factor of j and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (11 - 6 - (1 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2 + 45 - 8*l - 45.\nAnswer: 4*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 + 7*m**2 - 8*m + 1. Let z be r(-8). Let n(d) be the first derivative of 2\/3*d**3 - d + 0*d**2 - z. Differentiate n(b) wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5269*a**2 - 15*a + 2554*a**2 + 2755*a**2.\nAnswer: 40*a**2 - 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 59 + -50 - ((5 - 3) + 18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r**2 - 14020344*r - 182264979 = 0 for r.\nAnswer: -13, 4673461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + t + 2 = 0, 0 = 3*k + 460*t - 455*t + 23 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -213320 (base 4) in base 13?\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4307261459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/3, 1, -576?\nAnswer: -576","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 198, 441, 702, 993, 1326?\nAnswer: 1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -3*h**2 - 3*h. Determine g(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -131116700 by -229225.\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of 0*l**2 + 0 + 1\/3*l**3 + 2*l. Let d(n) = 6*n. Let f(m) = -5*m. Let w(h) = -3*d(h) - 4*f(h). Give w(q(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**1)**(3\/14)*(l\/l**(2\/3))**(-48) assuming l is positive.\nAnswer: l**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -6, 7, 6.\nAnswer: -6, 4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -20998*v**3 + 16*v**2 - 16*v + 21884. Let x(l) = -8999*l**3 + 7*l**2 - 7*l + 9379. Let o(d) = 7*q(d) - 16*x(d). Differentiate o(s) wrt s.\nAnswer: -9006*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 1:00 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4765701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3\/((-7505)\/(-1500) - 5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-96)\/24)\/(0 + 4\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -38*m**2 - 114*m**2 - 40*m**2 + 6*m**2 + (-4*m + 3*m + 3*m)*(-4*m + 2*m + m) + 3*m**2 - m**2 - m**2 - 3*m**2 - 2*m**2 + m**2.\nAnswer: -191*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-5) + (-7 - (-2516)\/20) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -51774 or -51769?\nAnswer: -51774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**2 + 2*y + 4. Suppose 3*a - 2*z = -18, -z = -a - 0 - 7. Let w(r) = r**2 + 1. Calculate a*w(l) + f(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o**2)**(2\/35)*(o**0)**(1\/21))**50)**(3\/10) assuming o is positive.\nAnswer: o**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 - -74?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 b when three letters picked without replacement from bbssbasssbasyabasas?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/10 - (-19)\/15. Let s = -0.692 + -4.308. Put s, k, -9 in ascending order.\nAnswer: -9, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 4*a = -65. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -107, -224, -341, -458, -575?\n\"Answer: -117*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*d**4*h - 15*d**4 - 36803*d**3 - 318*d**2*h + 3*d**2 - 2*d + 71*h + 15 wrt d?\nAnswer: -192*d*h - 360*d - 220818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-6)\/v)\/v)\/(v*v**(7\/4)\/v*v))**(-28) assuming v is positive.\nAnswer: v**301","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (8 - (1 - -13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1709 + -1708.87. Which is the biggest value?  (a) 2  (b) l  (c) 5  (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 1 + 7*l + 499*l**2 + 5.\nAnswer: 499*l**2 + 7*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -30 + 33 + (5 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 1194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 13081 and 17201?\nAnswer: 2184527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111294?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5.111247 milligrams?\nAnswer: 0.000005111247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 730 - 618. Calculate the greatest common factor of v and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10563 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0262866 and -18.\nAnswer: -18.0262866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8743*m + 8068*m + 22950 = 0 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of z**7\/525 - z**6\/100 + z**5\/75 + 59*z**2. Factor l(g).\nAnswer: 2*g**2*(g - 2)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/(((-6)\/(-4))\/3). Let f = 33231\/2635 + -6\/527. What is the common denominator of f and ((-4)\/a)\/((-10)\/(-348))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-1))**8\/((x\/(x*x**(2\/11)*x*x*x))\/(x**(1\/4)*x*x)) assuming x is positive.\nAnswer: x**(943\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t. Let r(l) = -339*l**2 + 2 + 176*l**2 + 106*l**2. Determine r(z(m)).\nAnswer: -228*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -228262*g**5 - 1307507*g**2 wrt g.\nAnswer: -13695720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/4)\/((-2)\/8). Let z be -11 - 148\/((-112)\/8 + 0). Sort -2\/53, c, z.\nAnswer: c, z, -2\/53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -5 - 1. Let z(r) = 3*r - 2. Let p be z(2). Suppose -3*h - 35 = -3*w - d*h, p*w + 3*h - 38 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/18 and -3 - 279\/(-30) - 3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88 is divided by 57.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 - 7*v + 2. Let z be m(8). Suppose -5*o + z = -3*o. Calculate the highest common factor of 15 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -550 (base 7) to base 3\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -278100 divided by 15450?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 177 and 1.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 73097675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -22*h**2 - 13*h + 88*h**2 + h - 10 - 8*h. Let x(c) = -c**2 - c + 1. Let w(g) = -4*b(g) - 40*x(g). What is the second derivative of w(i) wrt i?\nAnswer: -448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -20603846 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 139 and 79091.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(4\/7)*n*n*n**10)\/(n**(10\/9)*n**(3\/4)*n))**(1\/14) assuming n is positive.\nAnswer: n**(2447\/3528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 5*o = 30. Suppose 5*t = -0*t + o. Let m be ((-1)\/(-1))\/1*0. Solve m = 3*x + 18 - t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 4*u + 25, -2*u - 4*q = -0*u - 20. Suppose -17 + 15 = -t - x, 2*x = 2*t. Let a(j) = j + 10. Let v be a(-6). Sort v, t, u in descending order.\nAnswer: v, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-735)\/(-28) + -3)\/((-3)\/(-48))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34545714 - 637*h**2 + 34545714 - 2*h**3.\nAnswer: -2*h**3 - 637*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c + 20 = f, -2*c = -2*f + 58. Calculate the lowest common multiple of f and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -373 + 182 - 1764*o + 191 as r + c*o and give c.\nAnswer: -1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -3\/7  (b) 4  (c) -1072\/21  (d) -2  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*a - 3*a + a + (-4*a + 0*a + 2*a)*(1 + 0 + 0) + 3*a + a - 3*a + (-a + 7 - 7)*(-1 - 2 + 2).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((1 + -1 + sqrt(75))**2 - sqrt(75)) + (-1*sqrt(75))**2 + 3).\nAnswer: -612 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 93*b - 19*b**2 + 3*b**4 + 4*b**2 + 119*b + 6*b**3 - 230*b = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3102499 smaller than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 166*l**3 + 145*l**3 - 313*l**3 + 18917.\nAnswer: -2*l**3 + 18917","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17709 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r - 32. Let k = -5 + -13. What is the units digit of l(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3446 divided by 29\nAnswer: -3446\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8285 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176) + 5*1*sqrt(176) + sqrt(176) - sqrt(176) - sqrt(176) - sqrt(176))\/(sqrt(4) + 2*sqrt(16)))\/((sqrt(484)\/sqrt(176))\/(-1*sqrt(11)*1)).\nAnswer: -16*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94448, -94450, -94452, -94454?\nAnswer: -94456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205*x = 23526 - 17171 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.8 - -5.7. Let w = 1 - 1.5. What is the second biggest value in v, 0.05, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 70587011 to the nearest integer?\nAnswer: 8402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/9*(0 - 132\/4). What is v in -34\/3*v**4 + 14*v**3 + 0 + 10\/3*v**5 - d*v**2 + 4\/3*v = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/1 - -162 - (-87)\/29. Suppose 62 = -y + m. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*m + 11. Let u be 5 - ((-4)\/2 + 1). Suppose 4 = m*j - u. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 94.9 + -91.9. Let k = 2 - 2.5. Let s = 0.1 - 0.1. Sort s, k, q.\nAnswer: k, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88765159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -62\/7, -42, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 0*k = -4*r + 32, -3*k - 4*r = -54. Is k\/6*15\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 73 - 110. What is the second biggest value in 3, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 18\/5 and (1\/(-20))\/(14\/(-3535)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2080\/80*2\/4. Solve 6*s - x = -61 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -4\/3*d**3 - 44 - 2*d**2 + 8*d. Factor z(r).\nAnswer: -4*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 - -654?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 135*x**2 + 130*x**6 + 62*x**6 - 1105*x + 1105*x wrt x.\nAnswer: 23040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000205 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*f - 2*f + 3*u, 3*u = -2*f - 5. Let n = 2 - f. Suppose -n*j + 20785 = -2*p, 0 = -2*p - 2*p - 4*j - 41620. Round p to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - m + 2955 = 0, 5*m + 765 = -2*s + 3*s. Let i = -433 + s. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -693*v**2 + 0*v + 390*v**2 - v + v.\nAnswer: -303*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1340356305 to the nearest integer?\nAnswer: 36611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 54427.9041 to the nearest 1000.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 149317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l - 4. Let n = -5 - -2. Let q be m(n). What is the derivative of i**q - i**3 - 1 - i**2 wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 67*n + 520. What is the remainder when p(9) is divided by 277?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -k*s**3 + 158*k*s**2 - 53*k*s - 2*k wrt s.\nAnswer: -6*k*s + 316*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 0 - (-25 + 41)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = -0*m + 4*m + t, 1 = -t. Let s = -2 - -6. Calculate the remainder when m is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -908 + 907.1. What is the closest to n in 0, -4, 2, -81?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*j = -0*j - 100 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-590)\/(-140) + 0 + -3 + -1)*188\/141.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, 5, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -15 - 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + m = -3*m + 4, -3*l = -4*m + 8. Let z be (0 - -1)*2\/7. Which is the closest to z?  (a) l  (b) -5  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 276 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -3*m - 30. Let z be a(-8). Suppose 0 = -3*c - 9, -3*c = k + 2*c + 13. What is the third biggest value in k, z, 4\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/((-5)\/(-6)) + 2336\/365.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -54\/7 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1231, 1232, 1233?\n\"Answer: r + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aoppouau. What is prob of sequence po?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in -701, 1, -762?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 208.8 + -190. Let s = -19 + l. Let x = 1.5 - 1. Which is the nearest to s?  (a) 4  (b) x  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + 5*d**2 + 2. Let h = 0 + -3. Let i(o) = 3*o - 2. Let n be i(h). Let k(f) = -148*f**2 - 3*f**3 + 2 - 7 + 134*f**2. What is n*j(m) - 4*k(m)?\nAnswer: m**3 + m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**0)**(-1\/10)\/((z\/(z*z**(-5)\/z)*z)\/(z\/(z**(-8)*z))))**(4\/9))**(-1\/15) assuming z is positive.\nAnswer: z**(-2\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -6 + (9 - 8) - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -6770\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -228 - 604*z**2 + 228 - 374*z**2 as k*z**2 + i + l*z and give k.\nAnswer: -978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(-4*c**5 - 4*c**5 + 4*c**5).\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of 0*j**3 + 0*j - 1\/4*j**4 + 1\/120*j**6 + 0 - 51*j**2 - 2\/15*j**5. Let t(b) = b**3 - 7*b**2 - 5*b. Calculate 6*t(y) - 5*v(y).\nAnswer: y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - 4. Let u be (-4)\/16 + (-17)\/c. Suppose -2*z + 18 = o - 11, -u*z = 4*o - 64. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1450541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1247 is divided by 114?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -21*y**3 + 7*y**2 + 9*y - 16. What is the units digit of z(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 774424 divided by -488\nAnswer: -96803\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 61 - 257?\nAnswer: -1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12114 <= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 - (8\/36 + (-1146)\/54). Suppose -p*i + 6912 = -4763. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -49, -44, -51, -76, -125?\n\"Answer: -m**3 + 12*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-16)*(-28 + 16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - (-17 + 8 + -13)) + -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -15, -57, -99, -141?\n\"Answer: -42*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - -12 - 5 - (0 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 4*g**2)*((0*g + 2*g - 4*g)*(-15 - 9 + 6 + (-1 - 5 + 4)*(1 + 0 - 2)) + (5 - 3 + 0)*(2*g + 0 + 0) + 0*g + 4*g - 6*g).\nAnswer: -136*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 674772\/(-11368) + (-15)\/(-42)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -726 + 477. Does 21 divide 4 - (c - 1) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1884.27 + -192.17. What is k rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus 988?\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 AM and 3:34 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 0*q - 3*g + 3, 5*g - 1 = 2*q. Which is the biggest value?  (a) 9  (b) -8  (c) -1  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 19*l - 42. Let x be (-24)\/20*l\/(-4). Let i = -2 - -3. Which is the third biggest value?  (a) 6  (b) i  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1766, 845.\nAnswer: -1766, -6, 845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3619 + 3623. Sort y, 0.045, -14.\nAnswer: -14, 0.045, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 7*r**3 - 7*r + 7. Let x(q) = 6*q**3 - 5*q + 6. Calculate -4*b(z) + 5*x(z).\nAnswer: 2*z**3 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 991 = -5*r, 5*v - 2*v - 5*r - 747 = 0. Let y = 17 + 59. Suppose 3*h = v - y. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 712383 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, k: 3, b: 2, s: 8}. Give prob of picking 1 k and 1 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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 -4*j + 6*o = -162, -7*o + 11*o + 119 = 3*j. Solve 27*m - 38*m = j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -3*p - 4. Let k(b) = -2*b - 4. Let x(q) = -6*k(q) + 5*n(q). Let i be ((-4)\/(64\/(-172)))\/((-14)\/(-112)). Suppose -70 + i = -4*o. Give x(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/5 or 1.42?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 85 (base 9) to base 13\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*r + 0*r + r = -48 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 368 = -4*c, 3*c - d - 90 = 181. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/(-12)*-2)\/(26\/156). Solve 1 = -l*q + 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16713 + 217*t + 16713.\nAnswer: 217*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*sqrt(143) + sqrt(143) + (sqrt(143) + (-2*(sqrt(143) + (sqrt(143) - sqrt(143)*2)) - sqrt(143)) + sqrt(143) - sqrt(143)))\/(sqrt(275)*2*3).\nAnswer: 2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 9*z**3 - 550*z**2 + 57*z + 61. Give a(61).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z - 5. Let c be ((-13608)\/(-32) - -10) + 1\/(-4). Let s = c + -434. Calculate the remainder when s is divided by x(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28094*b**3 - 292182*b**3 - 2*b + 33617*b**3 + 2*b.\nAnswer: -286659*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -61443 - -107611. What are the prime factors of j?\nAnswer: 2, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -5*-6*11\/(-110). Let q(d) = -5*d**2 - d - 6. Let v(k) = -5*k**2 - 5. Calculate j*q(u) + 4*v(u).\nAnswer: -5*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1947789 and 189.\nAnswer: 40903569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -182.3648 rounded to 1 decimal place?\nAnswer: -182.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + 1. Suppose -r + 8 = t*y - 15, -3*r + 33 = 3*y. Is (-1)\/3 - (-224)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 415782?\nAnswer: 2, 3, 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + -7.7. Let t = 17.3 - m. Let f = t + -22.7. Which is the closest to f?  (a) -3  (b) -0.4  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -2, -1055, 2, -65, -4 in descending order.\nAnswer: 6, 2, -2, -4, -65, -1055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6725, 7197, 7979, 9071?\nAnswer: 10473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 732.8 rounded to the nearest ten?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 16 - 16. Let k = f - -12. Let a be 1 - (-4)\/k*1. Solve -3*d + 3 = -a*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of -n**3\/3 - 3*n**2 - 3*n + 1. Let g be f(-5). Factor -2\/7*q**g + 0 + 2\/7*q**4 - 2\/7*q**5 + 0*q + 2\/7*q**3.\nAnswer: -2*q**2*(q - 1)**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 AM and 3:39 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1920 by -6.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 AM and 12:06 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, s: 3, j: 2, y: 6, x: 2}. Give prob of picking 2 x and 1 j.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -h - 15. Let z(k) = -k**2 + 5*k + 9. Let q be z(h). Solve q*d = 2*d + 4*v + 3, 0 = 2*d - 5*v - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.9 - -2.9. Sort n, -2\/7, -1\/6.\nAnswer: -2\/7, -1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 34 - -5*(-231)\/55. Solve -3*k + 4*h - t = 0, -4*k + 17*h = 13*h + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 33*b - 30. Let s be x(6). Is ((-1)\/8 - (-76573)\/s)*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1804650786?\nAnswer: 2, 3, 33419459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3609071349.\nAnswer: 3, 13, 911, 101581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -38311 at least as big as -38576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + -0.2. Let d = -0.1 - n. Let m = -0.55 + 0.05. Which is the nearest to d?  (a) -0.4  (b) m  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2043*l**5 - 14343*l**4 + 32394*l**3 + 106908*l**2 - 193944*l - 4032 = 0 for l.\nAnswer: -8, -3, -14\/681, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 11*y**2 - 12*y + 12. Let q be (-7)\/((-7)\/3) - -9. What is the remainder when b(q) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 13\/52 + (-39)\/(-4). Let r(a) = a**2 - 5*a + 25. What is the units digit of r(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51100?\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1011 + 1007. Which is the third biggest value?  (a) 0.2  (b) m  (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88284*t - 7 = -5*k - 88286*t, 3*k = 3*k + 3*t - 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vopxvxoppxpixxpxox. Give prob of sequence vvxi.\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -50 - -51.123. Let j = -1.12301147 + q. Round j to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2322921?\nAnswer: 3, 19, 83, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1 - 0.1. Let l = 0.1 + y. Let m = -0.4 - l. What is the closest to 1 in 2\/3, m, 1\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -1. Let t = k - -2. Let w = 1 + t. Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 15\/(-6)*2 - (-29 - -12). Suppose -17*n + 400 = -r*n. What is the smallest common multiple of n and 24?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60*(-6)\/(-12)*7*(-16)\/112?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -58 + 968 + -1010.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -3*f - 3. Let g be 3 + -3 + -2 - 0. Let y be u(g). Suppose -2*q = 2*v - 6, 2*v = y*q + 3 + 3. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 r when four letters picked without replacement from {r: 4, m: 14}.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 PM and 8:49 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 95670946 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 PM and 10:12 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.434 and -754302.\nAnswer: -754302.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h - 2. Let c be m(1). Let f be 3\/(-12) - (-18)\/8. Let w(u) = -4*u**f - 2 + 3 + 0*u**2. Determine w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**2 + 4676670*h - 762430055.\nAnswer: 5*(h - 163)*(h + 935497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 27 + (-1)\/((-1)\/(-3)). Let m(z) = z + 16. Let i be m(0). Calculate the highest common divisor of i and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -92.032, 3, -3.2, -2\/17 in decreasing order.\nAnswer: 3, -2\/17, -3, -3.2, -92.032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(288))\/(sqrt(20)\/sqrt(5)*4).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 130918340 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of m**3\/3 + 3*m**2\/2 - 1. Let a(z) = -z - 16. Let i be a(-11). Calculate the remainder when 28 is divided by u(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1905639 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -841034 (base 10) to base 12\nAnswer: -346862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - (4 - (-4 - -2)*-4). Let s(v) = 2*v**2 - 7*v + 7. Let g be s(r). Solve 0 = -4*z - 3*c + 24, -3*z + 2*c + g = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -42, 3, -2\/17, 0, 2\/7, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + 6*y**3 + 0 - 13009*y + 13001*y - 4*y**3 - 2 + 3*y**2 in the form t*y + l*y**2 + x + o*y**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is z in z**3 + 2*z**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -73  (b) -7\/5  (c) -2\/3  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-1\/2)\/(i**(3\/8)\/i*i)*(i**1)**7 assuming i is positive.\nAnswer: i**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n**(2\/11)*n*n)\/n)**(-32\/7))**(-3\/11))**(7\/10) assuming n is positive.\nAnswer: n**(624\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1847525387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 3) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -47*i**2 - 13*i - 323. What is m(9)?\nAnswer: -4247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-7) + (-1420)\/35. Let p = -102 + 61. Let a = p - d. Solve 5*n - 3*n - 10 = a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 2. Let o = q + 6. What is the second derivative of 2*y - 2*y**o - 5*y**2 - y + 4*y**2 wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 + 3316283*y.\nAnswer: 3316283*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 1:25 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10*(-1155)\/(-350) + 35)\/(2\/(-55)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - 3*x + 27. Suppose -15 + 35 = 5*s. Let h be c(s). Let v(p) = -6*p**3 - p**2. Determine v(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -362*h**2 - h + 6. Let l(f) = -124*f**2. Calculate q(l(n)).\nAnswer: -5566112*n**4 + 124*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 + 18. Let q(p) = p**3 - 5*p**2 - 6*p. Let u be q(a). Suppose -2*h = w - 473, u = -2*h + 7*h + w - 1178. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 1)*1 - 2. Let u be a\/2*(-8)\/12. What is the second biggest value in u, 2, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*-3)*4 + -2*-3*(-1 + sqrt(19)))**2 + 5.\nAnswer: -648*sqrt(19) + 55445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28 - ((-87 - -44) + 95) - -161.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*b - r - 27, 73*b + 6 = 74*b - r. Let a(m) be the first derivative of 0*m - 31 - m**4 + 8\/5*m**5 + 0*m**2 + 2\/3*m**6 - 8\/3*m**b. Solve a(z) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 9919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes after 10:46 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 73 * 0.7.\nAnswer: 51.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20 - -3. What is the remainder when 91 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnngnnngbgng. Give prob of picking 4 g.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -384*c + 4721 + 1949 + 1394 = 0 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(1872)*-5 + 0) - (4 + sqrt(1872) + -5 + sqrt(1872) + -1 + sqrt(1872))) + 3 + -5)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 7:10 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1788081682?\nAnswer: 2, 894040841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + k**3 - 3)*(0*k + 2*k - k)*(67 + 58 + 1196) to b + c*k**4 + d*k + l*k**3 + p*k**2 and give c.\nAnswer: 1321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -104176.1 - -328\nAnswer: -103848.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 0 = 5*w + 11, -5*a - 2*w - 16 = 0. Let d be (96\/(-14))\/(-4) + a + 0. What is the biggest value in 2\/13, -0.2, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 787 + 1991 - 3007 - y**3.\nAnswer: -y**3 - 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1517 or -1601?\nAnswer: -1517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 15) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/2*(-42)\/(-35). Suppose 2*d = -1 - b. Put 1, d, -3 in descending order.\nAnswer: 1, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*a**4 + 0 - 4*a**3 + 0*a - 16*a**2.\nAnswer: -a**2*(a + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q. Let b(v) = -3090*v. Determine r(b(j)).\nAnswer: -3090*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -151\/198 and 157\/126?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppm when three letters picked without replacement from {f: 1, m: 2, i: 2, u: 1, s: 1, p: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 904 = -2*k, 4*k - 12*k = -5*z - 3681. What is the remainder when k is divided by 127?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2463 = 3*p, -4114 = -p - 4*p + 2*o. What is the first derivative of -413*i**2 - 411*i**2 - 33 - 17*i**3 + i**4 + p*i**2 wrt i?\nAnswer: 4*i**3 - 51*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qeeeleswuulwuwuees. Give prob of picking 1 s and 2 l.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 4, 31, -26, -25 in decreasing order.\nAnswer: 31, 4, -4, -5, -25, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(52)*-6 + 0)**2 + -1*((sqrt(1300)*-2 - sqrt(1300))*5)**2.\nAnswer: -285012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 3*b**2 + 2*b + 3. Let m be p(-14). Suppose 3*r + 5*w + m = r, -2*w = 5*r + 1418. Round r to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -4*u**2 + 5*u - 5. Let g(n) = 2*n**2 - n + 1. Give -15*g(o) - 3*t(o).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 357340392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 + 4*y**2 + 4*y + 48. Let d be f(6). Solve -3*s + 15 + 0 = d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 4*n**3 - 3*n**2 + 2*n - 12. Let p be s(3). Suppose 13*x = 10*x + p. Calculate the remainder when x is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14375.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, -33, -1\/4, 0.04 in ascending order.\nAnswer: -33, -1\/4, -2\/11, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 6:20 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20671 is divided by 6596?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 2*x - 12. Is w(-10) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/2 and 35\/67976886?\nAnswer: 67976886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.11*542.\nAnswer: -59.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.032236 litres to millilitres.\nAnswer: 32.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 + 123*t - 1916. Let j be p(14). Solve -4*l = -j*k - k + 6, 4*k = l + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 15*p - 63*p - 11*p. Let g(j) = -2*j. What is g(m(w))?\nAnswer: 118*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 9778088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1725 + -920. Suppose -2*y + x = -2*t + 3*t, -y + 410 = -t. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 - (-1113834)\/36)\/((-31)\/(-186)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/64198026 and -103\/64198026.\nAnswer: 64198026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 - -15. Suppose -3*k + 449 = -2*t, l*t - 2*t + 592 = 4*k. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, 5, -8, 10, -20, 2 in decreasing order.\nAnswer: 10, 5, 4, 2, 1, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, -4, 129?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -10*r - 5*r + r**2 + 16*r + 1. Let z = 988 - 989. Let n(l) = 2*l**2 + 2*l + 4. Calculate z*n(p) + 3*g(p).\nAnswer: p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2348*n + 89713 - 11304 + 34961 = -130822 for n.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 + 4*a**2. Let o be j(-4). Suppose -2*p + p = o. Is p less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-6)*w*w**(1\/2)*w*w*w**(2\/7)*w\/(w\/(w*w**(2\/13))*w) assuming w is positive.\nAnswer: w**(-375\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t. Let x be a(6). Suppose -12*i - x = -13*i. What is the common denominator of 37\/13 and 6 - i - (-81)\/(-10)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1875, -1921, -1967, -2013, -2059, -2105?\n\"Answer: -46*h - 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of 0*p**5 - 1\/3*p**3 + 0*p + 0*p**4 + 1\/70*p**7 + 0 - 3*p**2 + 0*p**6. Differentiate w(f) wrt f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13103 (base 7) in base 13?\nAnswer: -177b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 92*f - 1752. Give u(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**2 - 2*x**2 + 2*x**2)*(1 - 1 - x) + (-5 + 2 + 2)*(-x + 14 - 238041*x**2 + 238041*x**2 - 23*x**3).\nAnswer: 22*x**3 + x - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 383082 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) -6  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64973 is divided by 714?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a factor of 186960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (((-9)\/(-6))\/3)\/(6\/516). Suppose b - 103 = -4*q. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + g - g = 24 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 245319, 490296, 735273, 980250?\n\"Answer: 244977*x + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s + 2. Give u(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3)\/s)**(-2\/153)\/(s**(-13)*s\/s**(2\/11)) assuming s is positive.\nAnswer: s**(20590\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (k**2 + 9 - 9)*(1974*k - 3 - 1996*k + 2) as f*k + m*k**2 + h*k**3 + n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 78431, 4, -2, 5, 15.\nAnswer: -2, 4, 5, 15, 78431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -2*v + 15. Let z be 3 + -3 + 1\/v. Let q = -39\/25 + 44\/25. Sort z, q, 1 in increasing order.\nAnswer: q, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*m**2 - 116*m - 120 = 0. What is m?\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.62 + 0.42. Is 1\/10 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 25\/11 or -117921?\nAnswer: 25\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 17 = -2*z, z + 3*t = -2*z + 30. Calculate the remainder when 18 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = -3*x + 4. Let o = 4 + x. Let j(m) = 3*m**2 - 15*m - 9. Let p be j(7). What is the highest common divisor of p and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 101, -0.5, -2?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.23 - 1.2. Let z = l - -0.93. Which is the nearest to 3?  (a) 2\/11  (b) 2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -20) + -104 + 89 - (7 - -79 - 12).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 45 = 5*j, 5*j - z - 6 - 69 = 0. Suppose 4*i - x - j = -i, 2*x - 5 = -i. Factor -3\/2*h**2 - 3\/2*h + 3*h**i + 0.\nAnswer: 3*h*(h - 1)*(2*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/8 - (-31)\/(-4). Let d be -1 + 2 + 2\/s. Put d, -2, 0.2 in descending order.\nAnswer: d, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, 5, 17, 29?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 + 4*s**2 - s - 5. Let m be r(-2). Suppose 2*b - 295 = 3*k, m*b + 3*k - 700 = -2*k. What is the highest common divisor of b and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**3 + 3*p**3 - 7*p**3 - 4*p**3 - 2*p**3 + p**3 + (0*p**2 - 3*p**2 + 4*p**2)*(3*p - 3*p - 2*p).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = 0, -3*v + 0*v - 6 = -9*v - g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 693306 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 23\/(-36)*-20\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1767 and 1662.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 3 = x - 0, 5*z - 9 = -2*x. Let d be -1*(2 + -4)*-1. Which is the smallest value?  (a) 1\/7  (b) d  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -2*a**2. Let k be 0 + (-3 - 12\/(-4)). Let w(i) be the third derivative of 0*i + 0*i**3 + 0*i**4 - i**2 + 1\/30*i**5 + k. What is w(z(y))?\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*s**2)*(-67*s + 64*s**2 + 67*s) - s + 0*s**4 - s - 2*s**4.\nAnswer: 126*s**4 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 31\/5 of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(((-114)\/(-76))\/((-1259)\/(-2))) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -2*k + 24, -4*k + k = 4*f + 13. Let m be f\/5 + 5 + -3. Suppose 8 = i + 4. Which is the second smallest value?  (a) m  (b) i  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-5)\/45)\/1 - 3\/(-9). Suppose 0*u - 56 = -2*m + 2*u, 4*u = 4. Let k = m - 86\/3. Sort -5, k, l in descending order.\nAnswer: k, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(2\/11))\/v**(-12))**11 assuming v is positive.\nAnswer: v**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 147415, 147419, 147427, 147439?\n\"Answer: 2*k**2 - 2*k + 147415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -146988027*h**3 - 7342*h - 7951 wrt h.\nAnswer: -881928162*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 5*v + 14 = 0. Let y = -3 + v. Suppose -4*k = y*f - 2*f + 6, 5*f - 13 = 4*k. Which is the closest to 0.1?  (a) f  (b) 0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g - 3*g - 3 - g**2 - 4*g + 2*g. Let n be v(-7). Let u = -11.4 - -11. Sort u, 1.8, n in decreasing order.\nAnswer: 1.8, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.03 + -1.97. Let v = -1.2 - s. Let c = -0.3 + v. What is the second smallest value in 2\/7, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 67704 and 149916?\nAnswer: 2098824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 0, -8.1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 33 = 243. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -4*h**2 + h - 1. Calculate k(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, p: 6, r: 2, n: 7, c: 1}. What is prob of sequence pn?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 1 = -o, 3*h + o = -0*o - 1. Let n(g) = 2*g - g - 511*g**2 - 2*g + 512*g**2. Let d(z) = 1 + z**3 - 1. What is h*n(b) + d(b)?\nAnswer: b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 - 8 - 14 - 19 + 90 - 14*j - 17.\nAnswer: -14*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/305226 and -133\/2694.\nAnswer: 137046474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1815291.\nAnswer: 3, 73, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 + 53 = -s. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**37*c*c**(2\/7)*c\/c**(-12\/11)*c**13 assuming c is positive.\nAnswer: c**(4110\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 6*r = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25*f + 6*f + 6*f + 9*f**2 + 13*f - 52*f**3 to the form c*f**3 + d*f + h*f**2 + n and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -2*y - 40, 3*l + 0*y + 4*y + 24 = 0. Let a(z) = 4*z**2 + 11*z - 18. Let c be a(l). Let t = c + -101. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4*-1*((-1536)\/80 - -19). Let -182\/5*n**3 - i - 116\/5*n**2 + 62\/5*n = 0. What is n?\nAnswer: -1, 1\/13, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6445076 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -318, -2463, -8292, -19647, -38370, -66303, -105288, -157167?\n\"Answer: -307*z**3 + 4*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q - n - 16, -6*q + 7 = -8*q + 3*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 82417651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/2, 2\/19, 0.4, 3, -7\/146?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 11 - (-16 - (16 + 3 - 17))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -14. Suppose -2*v = -1 + u. Let i(o) = 2*o + 2. Let r(c) be the third derivative of c**4\/24 + c**3\/6 + 9*c**2. Give v*i(z) + 8*r(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-98)\/(-112) - 323\/456?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-12)*(18 - 3). Solve x - 10 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 810 + -812 + 24 + 1 + -37?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 70*s - 143 - 837 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -20*c + 16*c. Suppose 4*h - c = -3*l, 21 = 5*h - 0*h - 2*l. Is h*4\/(-24)*-254 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 7 + (-29 + 12 + 9 - (0 - 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lwlw when four letters picked without replacement from {v: 3, l: 4, w: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.7 in 9\/11, -6, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*j = j + 318 - 360 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-204694)\/56)\/(2\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*3\/(-3*1). Let s be 5\/(-15)*(-9)\/6. Which is the nearest to f?  (a) s  (b) 2\/3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2*w = -3*w + 18, 2*h - 18 = 4*w. Let o(j) = -25*j + 3. Let x(f) = -25*f + 3. Let d(q) = -3*o(q) + 2*x(q). List the prime factors of d(h).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 36*k - 113. Calculate a(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - k + 80 = 0, 3*z + 2*k + 24 = -24. Let t(s) = s**3 + 16*s**2. Give t(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -3*a**3 - 3*a**2 - a + 1. Suppose -1 = -2*b + 9. Suppose -3*x + 4*m - 6 = 0, 5*x - b*m + 1 + 9 = 0. Does 13 divide k(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6901343.\nAnswer: 2557, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -12. Suppose j*m - 2*c = -4*c, 0 = -5*m - 4*c. Solve -2*r + m = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63607 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -194, -828, -1880, -3338, -5190, -7424, -10028, -12990?\nAnswer: -16298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/8, 2, 3, -0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -30412020 - -5?\nAnswer: -30412012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1254\/1132362)\/(2\/(-28)).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6 + -2)\/((-2)\/(-2)). Let x = -4.2641 + 4.0641. What is the second smallest value in 1\/5, x, -0.3, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 64?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-12)*-2)\/((-117)\/108).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-28)\/20 + (-2)\/(-5). Let o be -10*(2\/5)\/y. Solve -3*z = o*m - m - 6, -16 = m - 5*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -3 - 2. Suppose f = -6*z + 97. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1\/6  (b) 1  (c) 2  (d) -4  (e) -358  (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6081082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 43963*j**3 - 846*j**2 - 16265562*j - 5 wrt j.\nAnswer: 263778*j - 1692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -342 + 480. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 10*z - 43. What is i(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.8796 litres in millilitres?\nAnswer: 38879.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 220 and 19382.\nAnswer: 193820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1176*h**3 - 7908*h**2 wrt h?\nAnswer: -7056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from idiididiiddiioiiod. What is prob of picking 2 i and 1 o?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**2 - 3*j - 8. Let x(a) = 3*a**2 - 4*a - 8. Calculate 4*s(n) - 3*x(n).\nAnswer: -n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-7 + 9) - 8 - (-21 - 3)) + -95?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3499224 is divided by 6528.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 19*r - 7. Let i(v) = -425*v + 211*v + 3 + 204*v. Let d(b) = 7*i(b) + 3*z(b). Let g(t) = -4*t. Determine d(g(u)).\nAnswer: 52*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 511*g + 30038 = -516*g, -3*y + g = 30014. Which is greater: y or -10004?\nAnswer: -10004","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*((-30)\/(-6))\/5*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -25b41 (base 16) to base 9\nAnswer: -254752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 167.63664 months in years?\nAnswer: 13.96972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + (sqrt(1200)*-2 + sqrt(1200) - (sqrt(1200) + 1 - sqrt(12))) + 0)*4)**2.\nAnswer: -1216*sqrt(3) + 69328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 14 = -3*f, -f - 22 = -2*a - 3*a. Suppose 0*h = -f*h + 6. Let n = 2 - h. Is n greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 209.9 * 0.3.\nAnswer: 62.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/2?  (a) -0.2  (b) -0.5  (c) 0.2  (d) 3  (e) 2  (f) 365\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, b: 5, x: 5}. What is prob of picking 1 b and 1 x?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 9, l: 3, n: 3, o: 2, r: 2}. Give prob of sequence pll.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*k**5\/3 - 8*k**4 - 2320*k**3\/3 + 9752*k**2 - 37308*k + 45360 = 0. Calculate k.\nAnswer: -27, 3, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, y: 2, c: 1, r: 1}. What is prob of picking 1 y and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 - 13*m + 26. Give g(15).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 714.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 126b010 + -82?\nAnswer: 126ab4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**2 - 4*f + 1. Suppose 7*w - 2 - 453 = 0. Let k = 75 - w. What is the remainder when k is divided by n(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 5. Suppose -y - s*y + 356000 = 0. What is y rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -0*u - u + 80, 2*c = 0. Let i be 10\/4*u\/(-40). What is the closest to -0.1 in i, -32, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1317000 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 336 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -131 - -209. Suppose 93 = -3*j - o. Let n = j - -87. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (50\/30)\/(2\/(-6)). Let h be (-6)\/(z + 7) + 8\/3. Let g = -11\/14 + 215\/238. What is the nearest to h in 0.1, -1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 - 5*u + 8. Suppose 0 = 5*b + 5*a + 55, -4*a - 20 = -0. Let i be w(b). Suppose i*c = -3*t + 43, c = 3*c - t - 47. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 - (10 - (18 + -40)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 19992980 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -85.\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n + 182 = s, 4*n - 130 = 9*n - 5*s. Suppose z = 2*f + 68, 2*f - f + z = -31. Let x = n - f. Is 0.1 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3204*d = 3266*d + 2418 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 512970 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.097467 - -0.397467. Let h = -2 - -2.1. Which is the nearest to -1?  (a) h  (b) k  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*d**5 - 7*d + 11*d**3 - 11*d**3 wrt d?\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1145541 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 679896009*w - 1144025907 wrt w.\nAnswer: 679896009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 147 + -147. Let o = 3 + -5. Which is the nearest to x?  (a) 5  (b) o  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 540.6572 seconds to microseconds.\nAnswer: 540657200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1213, -4813, -10787, -19117, -29785, -42773, -58063, -75637?\nAnswer: -95477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/13216 and -41\/1491756.\nAnswer: 11934048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1880 + 2?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -113223?\nAnswer: -113213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 21*c + 2. What is k(-2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -435*q. Let k(t) = -t**2 - 3*t + 41. Let u be k(-7). Let o(h) = 11*h + u*h - 24*h + h**2. Calculate o(f(w)).\nAnswer: 189225*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = -6*y - 12, -2*y = -4*w + 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - 274831?\nAnswer: -274836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -4*z**3 + 46*z + 343. Let v(k) = k**3 - 9*k - 69. Let f(n) = -2*h(n) - 11*v(n). What is the derivative of f(g) wrt g?\nAnswer: -9*g**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mlmllmllml. Give prob of sequence lmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -984 in -2\/3, -1\/4, 0.04?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -42, -66, -92, -120?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 252087 divided by -84029\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -15*q + 11. Let l(f) = 3*f - 2. Let b(s) = 11*l(s) + 2*t(s). Let j(x) = -69 + 2*x**2 + 69. What is b(j(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-55 - -47) + (6 - (-1 + -11))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 0*z - 3*l - 387, -12 = 4*l. Let h be 2516\/14 - 108\/z. Calculate the highest common factor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/10  (b) 1\/2  (c) -4  (d) 3  (e) 168  (f) -3  (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s - 20 = 15. Let k(m) = -m**3 + 3*m**2 + m - 1. Let y(b) = -b**3 + 5*b**2 + b - 2. Determine s*k(r) + 3*y(r).\nAnswer: 2*r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rwms when four letters picked without replacement from mmwqsmswsswrsww?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3.4, -0.33, -0.069, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 3*i**3 + 4*i**2 + 4*i. Let b(g) = -8*g**3 + 4*g**3 - 11*g - 4*g**3 - 11*g**2 - g**3. Determine -4*b(l) - 11*x(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1513 + -41?\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*l*t**4 - 118*l*t**2 - 479*l*t + 2*l wrt t?\nAnswer: 156*l*t**2 - 236*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3235840082 to the nearest integer?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.04, -2, 2\/7, -0.8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7772, -6201, -4630, -3059?\nAnswer: -1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 355 - 544. Let l be (-3440)\/18 + (-1 - 1). Let n = l - r. Find the common denominator of n and 63\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - 135\/(-33)) + 6\/(-3). Let q = -37\/44 + p. Factor 3\/4 + 1\/2*y - q*y**2.\nAnswer: -(y - 3)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(132)*2 - (5*(2*sqrt(132) + sqrt(132)) - sqrt(132) - sqrt(132)))\/(sqrt(192)*1 + sqrt(12) + sqrt(144)\/(-1*sqrt(12)))*1*4.\nAnswer: -19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3, -3\/5, 14.5, 23?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-6*1*(sqrt(1377)*3 - sqrt(1377) - sqrt(1377)) - (-3 + 0 + -2 + sqrt(1377)))*4*4)**2.\nAnswer: -169344*sqrt(17) + 17280144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -4*g + 5, 5*g - 8 = -406*i + 404*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 PM and 4:32 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (14 - 22 - (-3 + -19)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1100570273*h**3 + 192732971*h**2 + 5*h?\nAnswer: -6603421638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**3 - 48*r**2 + 37*r - 60. Calculate u(-25).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from mmxhfhmfmdxhmm.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 334385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 5561430.\nAnswer: 5561430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 117240 or -1424?\nAnswer: -1424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 13 = -27 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*x + 3*a + 1, 26*a = -2*x + 28*a - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 51692297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(700) - (-5 + 2*sqrt(700) + sqrt(700)))**2 + 3 + sqrt(700) + -5 + (1*(sqrt(700)*-2 - sqrt(700)))**2 + 0 + sqrt(700) + 1).\nAnswer: -9124 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) -33306  (c) 1\/7  (d) 172\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -138 + 62. What is the common denominator of d\/2*(-1)\/8 and -23\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 30 - 28. Let d be 1*w + (4153287\/42)\/17. Let y = d + -5823. Calculate the common denominator of -137\/12 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -576733, -1153906, -1731079, -2308252, -2885425?\nAnswer: -3462598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-14) - (-319200016)\/(-7). Let q be c\/(-4) - 2\/4. Round q to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328329 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-17 + 27 - 14)*(2*d**2 + 2*d**2 - 3*d**2) to the form h*d**2 + i*d + l and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8499*m**3 - 140598*m**2 - 664380*m - 698376.\nAnswer: 3*(m + 2)**2*(2833*m - 58198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 2*a = -8, 3*a - 15 = -3. Suppose l = f + 18 + 2. Let u be ((-24)\/f)\/(3\/10). Which is greater: 6 or u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 + 211*a**2 - 3831*a + 375. What is o(191)?\nAnswer: -1726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 2 + 11 + (2 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*q - 68*q = -17*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 196993184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/3201 and -127\/6?\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7269119 to the nearest integer?\nAnswer: 2696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-3*sqrt(432) + 5.\nAnswer: -36*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((198\/(-60))\/(-33))\/((-4)\/(-15))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, -2, 5, 37, 3.\nAnswer: -2, 2, 3, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4600 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2145*c**2 - 15*c + 27582 wrt c.\nAnswer: -4290*c - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from oodooddoosoz.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9832 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-6) - 6\/28. Which is smaller: d or 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*h + 31*h - 4*u = 895, -2*h + 595 = -3*u. Solve 0 = -h*t + 303*t + 4*m + 14, -11 = -3*t - 4*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3692184 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-65)\/13 + 46 + 1. Solve -23*y + 95 = -s*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, z: 2, b: 2, v: 2, a: 1}. Give prob of sequence qbvv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4698356 and 13.8?\nAnswer: 64837312.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*q**3 - 26*q**3 - 17*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -116 + 221. Let w = v - 109.9. Let h = 8.9 + w. What is the closest to -3 in h, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 53692518 by 6.\nAnswer: 8948753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10424400 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -818 + 819. Which is the third smallest value?  (a) l  (b) -83  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from bbjybbbbbbkb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uxrx when four letters picked without replacement from {r: 1, u: 3, o: 1, x: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(1*sqrt(544)*-1)\/((sqrt(162)*2 - sqrt(162))*5).\nAnswer: 8*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 38*(30\/36 - (-169)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = 5*x + 26. What is the highest common factor of 117 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 127250955?\nAnswer: 3, 5, 13, 37, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i + 8. Let h be c(0). Suppose 0 = -3*w + 20 - h. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -61980 to the nearest one thousand.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*s - 36 + 136 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 222546 - -331?\nAnswer: 223077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3.5093673 nanoseconds?\nAnswer: 0.00000000000097482425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 0*x - 36 = -18*z + 7*x, 5*z - 27 = -6*x + 9*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 30 + 10 + 7 + 16 + j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -3*y**3 - 103*y**2 - 3090. Let s(v) = v**3 + 52*v**2 + 1546. Let m(r) = -3*p(r) - 5*s(r). What is the derivative of m(k) wrt k?\nAnswer: 12*k**2 + 98*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -28*w**3 + 11*w - 11. Let a(p) = 5*p**3 + 4*p**2 - 8*p + 4. Let g(c) = -4*c**3 - 5*c**2 + 9*c - 4. Let n(u) = 5*a(u) + 4*g(u). Give 4*b(t) + 11*n(t).\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 - 286*q**2 - 2217*q + 1961. Determine v(-278).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13495 - -13499. Solve t*d - 5*y = -12, 0*d = d + 4*y - 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -y**5\/60 - y**4\/3 + y**3\/2 - y**2. Let h be g(-6). Let j be 2\/(-4) + (12 - 5)\/14. Solve 5*i + h + 10 = j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 2\/7, -50658, -1643?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o - 10526 - 10552 + 21182.\nAnswer: o + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 - -15. Which is the nearest to -1\/4?  (a) 3\/5  (b) u  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 0*v**3 + 409*v**2 + 10 - 417*v**2 - 16*v - v**3 + 9*v. Determine i(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + n + 910, -3*d - 3*n = -7*n + 569. Let y = d - -185. Solve y*z + 32 = 10*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 119742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 10635360 divided by -6\nAnswer: -1772560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**4 - 3*o**4 + 0*o**4 + (-o + o + 3*o)*(o + 2*o**3 - o) - 6679*o**2 + 81*o**4 - o + 6679*o**2.\nAnswer: 86*o**4 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-77166)\/180054)\/((-61)\/7)?\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*m = 1432 - 5018. Let i = -161 + m. Put 1, i, 3, -12 in decreasing order.\nAnswer: 3, i, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 891.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 27*t + 591. Is 29 a factor of u(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74674 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -66 - -66.2. Put -3\/4, 2\/7, d, -10 in decreasing order.\nAnswer: 2\/7, d, -3\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*k + 411*g = k + 412*g, k = -3*g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of 0*r**5 - 1\/60*r**6 + 1\/3*r**3 + 5*r**2 + 0 + 0*r + 0*r**4. What is the derivative of z(f) wrt f?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Three letters picked without replacement from kbvpvvbbxvvvkpbbk. Give prob of sequence bpk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d = -4*d - 88. Suppose -p - 23 = -4*s - s, 2*s = -p - d. Let n = p - -90. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (36\/(-10))\/6 + 489\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -26*j + j**2 + 3 - 8*j**2 + 18 - 72*j**2 - 14*j**2 + 2*j**3. Let c be q(47). What is the greatest common divisor of c and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -149\/105 - -59\/35. Factor -2\/15*q**3 + 6\/5*q - s*q**2 + 12\/5.\nAnswer: -2*(q - 3)*(q + 2)*(q + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -6. Suppose -2*r + 18 = m. Let y be ((-10)\/r)\/((-3)\/9). Put 4, y, 3 in increasing order.\nAnswer: 3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 1292*m**4\/5 + 14244*m**3\/5 + 4980*m**2 + 12236*m\/5 + 288\/5 = 0.\nAnswer: -9, -1, -8\/323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*y - 8 + 4*y - 5 - 21*y**2 - 9*y as o + v*y**2 + k*y and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 51 + 6 - -6*(-6)\/9. Differentiate 87 - 34*n**2 - 23*n**2 + d*n**2 + 2*n with respect to n.\nAnswer: -8*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10.4*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -i**2*x**2 + 592*i**2 + 3*i*x**2 + 6139*x**2 - 7377*x wrt x?\nAnswer: -2*i**2 + 6*i + 12278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 5*c - 9. Let q = 33 - 22. Let i(a) = q - 6 - 4 + a. Let v(l) = b(l) - 6*i(l). Calculate v(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 36.49\nAnswer: -32.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 - 1 - 14*o)*(-3*o - 2*o + 3*o) in the form z + b*o + c*o**2 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -3*p**2 - 10*p + 10*p - 2*p**2 - 3 - 6*p. Let k(z) = -4*z**2 - 4*z - 2. Let f(n) = -3*k(n) + 2*r(n). Let a(x) = -7*x**2 - 4 + 4. What is a(f(t))?\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 18 = 14. Calculate the remainder when r is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -161 - 218\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 0.2, -0.113797, 0, 1 in descending order.\nAnswer: 1, 0.5, 0.2, 0, -0.113797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3479 and 1486385?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 7 + 5)*(-3 - j + 3)*(103*j**2 - 6*j - 2*j**3 + 4*j - 105*j**2).\nAnswer: -6*j**4 - 6*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - -3 - 1 - -65. What is the greatest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one eighths of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50*n**3 - 39*n**3 - 50*n**3 + 118*n**3 - 51*n**3 - 42*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 255 or 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -40 + 68. Let c = m + -27. Put 0.3, c, -0.4 in descending order.\nAnswer: c, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 737\/494 - -2\/247. Let a = -0.5 - 1.5. What is the third smallest value in -0.1, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 87\/((-5481)\/(-9240))*(-126)\/(-168).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 235 = 4*y, -2*i + 3*y + 38 + 447 = 0. What is the greatest common divisor of 208 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 573, 495, 365, 183, -51, -337, -675?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 6133 = 123105. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 - 6*j - 10. Let p be b(-3). Let k(t) = -996840*t + 40. Let a be k(p). What is a rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/4*4*6\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 12, -0.3 in descending order.\nAnswer: 12, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -72.897486 times -4\nAnswer: 291.589944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/11887220 and -7\/8536460?\nAnswer: 1271932540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3704316933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 200 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -659048*c + 219740*c + 219760*c + 219522*c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 + -11. Suppose -t*i = -3*i + 26000. Round i to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*i**2 - 6 - 3 + 9 to m*i + z + o*i**2 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 96 + v**2 - 9450*v + 0*v**2 + v**2 + 9481*v. Determine y(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 4:52 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*c**3 + 15000*c**2 - 408515*c + 393510 = 0. What is c?\nAnswer: -3027, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 42*y. Let l(p) be the second derivative of -p**4\/2 + 73*p. Give j(l(t)).\nAnswer: -252*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15\/2 + 7. Let o = 62 + -309\/5. Which is the closest to x?  (a) o  (b) 0.4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4500501440 - 1?\nAnswer: 4500501435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -3, 1\/2, 4\/7, 0.08?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -30 + (16 - -22) - (2 - 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/6*(-8)\/((-320)\/(-72))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, -22, -2, 13 in ascending order.\nAnswer: -32, -22, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 56, 122, 210, 326, 476?\n\"Answer: p**3 + 5*p**2 + 44*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 5*m - m)*(-9 - 5 + 16)*(m**2 + 0*m**2 + 2*m**2).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 612*6.\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 PM and 1:46 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 68722863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22618\/3 + -3166271\/420. Let v = a - 3\/140. Find o, given that v - 2\/7*o**2 - 2\/7*o = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 9*j = 72. Let r(o) = -j*o + 27 - 27 - 3*o. Let a(u) = 4*u. Give r(a(t)).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 301145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -109, -15, 145, 371, 663?\nAnswer: 1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 AM and 1:04 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 + 1 = -5*p + 3*v - 6 - 13, 138 = 46*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 65 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*a + 5*a + 0*a)*(0 + 6 + 3)*(-2 - 4 + 4)*(-17 + 17 + 5*a) as d*a**2 + o + m*a and give d.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.007 - 2.893. Let p = -3 - k. Let n = p + -1.9. Which is the biggest value?  (a) -5  (b) 2\/5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, v: 3}. What is prob of sequence zvv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/19, 2\/11, 14, 11\/5, 20, -2, 0?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 - -2 - -1 - 75. Let q = w + 130. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 + 12*v + 30. Let t be u(14). Let n = -3 - -2. Calculate the least common multiple of (-8 - t)*n\/2 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720)*4)**2 + 3 + -2)*2 - (-2 + (-4*sqrt(720) + 2)**2*-3).\nAnswer: -576*sqrt(5) + 57616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * 9338.3\nAnswer: -933.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/2)\/((-1)\/4). Let c be (-33)\/(-9) + y\/3. Suppose -3*b - 7 = -o, c*o - b - 17 = -o. Solve -o*f = -2*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -362.4 - -110.2. Let j = 218 + x. Let w = 19 + j. What is w rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 285 is divided by 241.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 + l + 10. Give r(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16353193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 61.96 + -4.26. Let d = x - 58. Which is the closest to 0.17?  (a) -3  (b) -1  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1072 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + v + 40. What is the remainder when v is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 0 + -7 + -5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3084203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 58629 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, -2\/13, 11\/4, 2, -58 in descending order.\nAnswer: 39, 11\/4, 2, -2\/13, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 7*a**2 + a - 7. Suppose -3*s + 14 = z, -2*s + 5*z + 7 = -8. List the prime factors of c(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -357, 3, -3, 1959 in ascending order.\nAnswer: -357, -3, 3, 1959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2670.04 - 2728. Let b = 58 + s. Are -8 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*c**2 + 160 + 10*c**4 - 68*c**2 + 25*c**3 - 138*c - 5*c**4 + 158*c = 0 for c.\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/2 - 37\/2. Let c = 11 + a. Let q be (-16)\/c - (-8)\/(-28). Solve -q + 4 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d**6 - 361938958*d**5 + 881790*d**2 + 5*d + 6?\nAnswer: -120*d**3 - 21716337480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 15 = 4*f, 0 = -4*h + 7*h + 2*f - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 129756, 519087, 1167972, 2076411, 3244404, 4671951?\nAnswer: 6359052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 38517396 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13.8 + -12.6. Put -1\/9, d, 3 in ascending order.\nAnswer: -1\/9, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**3\/7 - 24*q**2\/7 - 78*q\/7 - 8.\nAnswer: -2*(q + 1)*(q + 4)*(q + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63164?\nAnswer: 2, 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = b - 3*p + 32, 144 + 134 = -12*b + 7*p for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -q**4\/4 + 4*q**3\/3 - q**2 + 5*q + 31. Determine a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -501*u - 485*u - 116 = -4*w - 1484*u + 502*u, 4*w = 5*u + 143 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 8*c**2 - c - 4. Let z be o(-8). Differentiate -17 + 3*x**z - 14 - 11*x**4 - 30*x**4 wrt x.\nAnswer: -152*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 237539232 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 1881, 4, -7\/2, -5, -3 in increasing order.\nAnswer: -5, -7\/2, -3, -1\/3, 4, 1881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of k**9\/30240 - k**6\/360 - k**5\/15 + 3*k**2. Let z(b) be the third derivative of t(b). What is the derivative of z(a) wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and -5.815?\nAnswer: -34.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8442 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 35\/5420963?\nAnswer: 35\/5420963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i - i + 4 - 2)*((-1 - 3 + 1)*(2*i - 6*i + 3*i) + (-3 + 1 + 3)*(i + 2*i - 2*i) - 882*i + 2974*i + 2103*i).\nAnswer: -8398*i**2 + 8398*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(-4 + 6 - 1)*(-2*p - p + p)*(1 - 3 + 0).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 373.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(144)*-1)\/sqrt(3)*3)**2.\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1324320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -57 + 29. Let p = 301.71 - 273.536. Let n = b + p. Round n to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3, 3, -5, -27, -69?\n\"Answer: -z**3 + 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 9904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (4 + 6 + 0)) + 0 - -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 4*x + 3. Let r be h(3). Let k be -2 + (-1 - (-4 - -3)). Let t be ((-12)\/3)\/8*k. Is t greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccxizcyc. What is prob of picking 1 c and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of -h**6\/720 + h**5\/120 - 8*h**4 + 26*h**2 + 1. Let p(x) be the second derivative of u(x). Let s(b) = -2*b. Give s(p(a)).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from mmkmmkmmmmmkmmmmkk.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2495588*c**5 - 2410980*c**2 + 1 wrt c.\nAnswer: -149735280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 45, 48, 43, 24, -15, -80, -177?\n\"Answer: -u**3 + 2*u**2 + 4*u + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 132999, 266322, 399645, 532968, 666291, 799614?\n\"Answer: 133323*t - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 20\/337, -0.2, 11526\/23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 36*o**4 + 332*o**3*t**2 - 25480*t**2 wrt o.\nAnswer: 144*o**3 + 996*o**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -27719*a**2 - 81375 with respect to a.\nAnswer: -55438*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 6. Let f(r) = r + 0 + 0*r - 2 - 3*r**4. Let j(c) = -13*c**4 + 5*c - 9. Let d(u) = g*j(u) - 18*f(u). What is the second derivative of d(k) wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, o: 1, c: 4, d: 3, x: 2}. What is prob of sequence doc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 16198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-60))\/(7 - 205\/25)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -1\/180*t**6 + 0*t + 1\/36*t**4 + 1\/90*t**5 - 2*t**2 - 1\/9*t**3 + 0. Factor n(c).\nAnswer: -2*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of 0*d**2 + 0*d - 1\/3*d**3 - 1. Let o(w) = -2*w**2. Determine o(f(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - -13319698347524.\nAnswer: 13319698347519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -759.8687 to one decimal place.\nAnswer: -759.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -7*f - 6317686 + 6322726 + 3*f**2 + 388*f = 0.\nAnswer: -112, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-313 - (-1042825)\/3333)*2\/4.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*r**4\/4 - 63*r**3 - 735*r**2\/4 - 243*r\/2 = 0. What is r?\nAnswer: -81, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = n - 1, 2*f + 4 - 2 = 0. Let g = 8 - 13. Let v = -9 - g. Put v, n, 4 in descending order.\nAnswer: 4, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of -5\/2*k**2 - 48 + 9*k. Give z(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 12) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 1  (b) 41  (c) 0.1  (d) -3\/7  (e) -122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*p)*(-59*p - p - 136*p)*(4 + 2 - 3).\nAnswer: -1176*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 7, 1, 14.\nAnswer: 1, 6, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 3*j + 2. Give v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 153923.\nAnswer: 61569.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -251*g - 10. What are the prime factors of k(-1)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/30)\/(-14*(-7)\/147*1\/20)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -103210 (base 4) to base 13.\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of s**5\/540 + 35*s**4\/216 + 98*s**3\/27 - 1030*s**2. Suppose h(l) = 0. What is l?\nAnswer: -28, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 46072 = 2*x, -x + 15530 = 3*s - 19029. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*x**2 + x**2 + 17*x**3 - 10*x**2.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -31090 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 - 6624922265.\nAnswer: -6624922267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.4 and 21136.\nAnswer: 21136.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -38?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1927920 by -16066.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 12*o - 4. Let n be m(7). Let q = n + -25. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k**5 + 248275*k**4 - 1572840*k**3 + 2814840*k**2 - 331280*k - 1986960 = 0. What is k?\nAnswer: -16558, -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 144130 and 12.\nAnswer: 864780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2*y + 3. Let i(f) = 4*f + 5. Let w(v) = -3*i(v) + 5*l(v). Let g(j) be the first derivative of j**3 - 2. Calculate g(w(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59270 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-4))\/((-4)\/40). Suppose 2*x - 5*c = -0*x + 36, 0 = -w*c - 20. What is the units digit of 0 + 3 + x + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 11:54 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + (6 - 4 - (8 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5307716 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, y: 1}. What is prob of picking 1 g and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -312*-0.06079.\nAnswer: 18.96648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 5*a**2 - 7. Suppose -2*g + 2 = -h, 0*h = h + 3*g + 2. Let o(k) = -k**2 - 8*k - 4. Let x be o(h). Is c(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -59 - 37*o - 34 - 17*o - 62*o with respect to o.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 115\/2 in 1, -0.2, -17\/482?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10.71074 millimeters to meters.\nAnswer: 0.01071074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 - (-47 + 4 + 20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2269*r**3 + 2*r**2 + 1254*r - 3310932 wrt r?\nAnswer: 6807*r**2 + 4*r + 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from kzfkkfzfkkfkkktkttzz?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -851, -1726, -2599, -3470, -4339, -5206?\nAnswer: -6071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-3 - (-2 + 0 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -81844*d - 20. Determine y(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 2*s - 73. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 - 2)*((3 + 1 + 0)*(6*i - 17*i - 9*i) + 5*i - 6*i + 3*i) to x + o*i and give o.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 AM and 9:28 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.106626 and -0.05.\nAnswer: -0.156626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/5  (b) -5  (c) 3\/2  (d) 2\/17  (e) -28\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x**(-2\/5)*x)*x*x*x*x**3)\/(x**0)**(-6\/25))**(-32) assuming x is positive.\nAnswer: x**(-1024\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 6. Which is the biggest value?  (a) s  (b) 8  (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, e: 1, x: 3, s: 2, w: 3}. Give prob of picking 1 v and 2 x.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -13*o**3 + 21*o**2 + 4*o - 3. Let l be -20 + (3 - 4\/4). Let p(s) = -3*s**3 + 5*s**2 + s - 1. Let r(h) = l*p(h) + 4*f(h). What is v in r(v) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1410653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113*f**3 + 192*f**3 - 124 + 94 - 71*f**3.\nAnswer: 8*f**3 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -42 + 345. Suppose z = 7*m - 824. Is m a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 75037907*m**2 - m + 566004757.\nAnswer: 150075814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -2*q + 6144, h + 0*h - 5*q - 3054 = 0. Suppose -h = -12*m - 897. List the prime factors of m.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -440 - -11?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -1587*f + 10. Let n(g) = g - 2350. Give n(v(t)).\nAnswer: -1587*t - 2340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -186177\/395 or -471?\nAnswer: -471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.29351326 rounded to 2 decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zeeeyeeezeyeezzzz. What is prob of picking 2 y?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -14324391*k + 70581442 wrt k?\nAnswer: -14324391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -3*o + 2*o - 5*o + 0*o. Let s(l) = 2*l. Let b(n) = -3*q(n) - 8*s(n). Let f(m) = m. Determine f(b(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, -4849, -0.06.\nAnswer: -4849, -0.06, 27","meta":{"dup_signals":{},"source":"comparison__sort_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: Find the third derivative of 40820*f**3 + 9562*f**2 + 2*f - 2.\nAnswer: 244920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -101*g - 237. What is m(-4)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c**3*g**2 + 7*c**3 + 2*g**3 + 45*g**2 + 315*g wrt g.\nAnswer: -2*c**3 + 12*g + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 11 divided by -39\nAnswer: -11\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5959242 is divided by 106415.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (327\/(-4) + 0)*672\/(-252).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4482 by -6.\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -976 - -979. Solve 0 = l*i + 23*y - 20*y - 24, 4*y = 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2*j - 4. Let a(m) be the third derivative of m**4\/12 + 5*m**3\/6 - 81*m**2. Give -5*a(r) - 6*b(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 3*m - 3. Let z(h) = -3*h**2. Let r be z(-1). Calculate k(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2092 + -2091. Which is the third smallest value?  (a) 181  (b) f  (c) -0.2  (d) 2  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.3  (b) 0.4  (c) 3\/14  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 786 - 430. What is the remainder when z is divided by (((-1)\/(-5))\/(2\/(-10)))\/(1\/(-51))?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 665*u**3 - 5*u**2 + 176*u - 6. Let x(d) = 664*d**3 - 4*d**2 + 176*d - 5. Let i(k) = -5*v(k) + 6*x(k). Find the second derivative of i(b) wrt b.\nAnswer: 3954*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g*g**(-2)\/g))\/g*g\/g**(1\/20)*g)\/(g**(-4)\/(g\/(g*g**(2\/9)))) assuming g is positive.\nAnswer: g**(1571\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 370, 1504, 3404, 6070, 9502, 13700?\nAnswer: 18664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/3  (b) 577  (c) 2\/17  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + 1 + 2 + 2. Let w(a) = -18 + 4*a**p + 18. Let y(l) = 109 - 223 + 114 + 5*l**2. Determine w(y(u)).\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -82 + 35. Let n = -31 - h. Suppose -3*k = 4*o + o + n, o + 17 = 4*k. Which is smaller: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -36 + 34. Let a(y) = -4*y**3 - 4*y**2 + 3*y + 5. Let c be a(r). Calculate the highest common factor of c and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.307, 0.55, -3, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 812\/24 - -4 - (-15)\/90. Suppose 2*a - 3 - 7 = 0. Find the second derivative of 35*z + 38 + z**a - v wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*h - k - 30, 3*h + 5*k - 37 = 0. Let m be 4\/6 - (-12)\/h. Let f(d) = 5*d - 6*d - m*d - 4*d. Let q(g) = g. Give q(f(s)).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-2))\/((-7)\/(21\/27))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -u + 12*u**4 - 5*u + 12*u + 2*u**2 - 4*u - u**3 + 39*u**4 in the form h*u + v*u**2 + l*u**4 + r*u**3 + g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 4954*v + 39646. Give a(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, 48, 203, 504, 999, 1736?\nAnswer: 2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7250*i + 3203*i**5 + 7250*i + 1029*i**2 wrt i.\nAnswer: 192180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -292 - -301. Solve -s = -10*f - 39 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 10 = 2*a. Solve -a*r - 1 = -11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -4240*r - 73199. Calculate v(-17).\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-19)\/(-5) - 2 - 2. Let d = 0.48 - 0.68. Which is the nearest to d?  (a) -4  (b) n  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l + 1. Let a be q(-2). Suppose 0 = -a*g + 25 + 5. Solve -m = -g*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 4. Suppose -m = -2*g + 1. Suppose c = 3*c + 4*l - 36, 0 = c - 2*l + g. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 346480 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 PM and 9:28 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 1 = -w, 4*w = 3*s - 284. Suppose -s = -3*b - 45. Solve 11 = -5*r - l - l, -5*r = 4*l + b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27283?\nAnswer: 27283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183759 = -4535*r + 523701 for r.\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*q - 836*q - 206505 = 825*q for q.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 - 26\/78?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (6 + -9 + -7 + (7 - 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, a: 7, d: 8, m: 1}. Give prob of sequence mddh.\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 0, 12, 7 in descending order.\nAnswer: 12, 7, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 198*h - 4753. Let l be w(24). Put 2\/9, l, -2, 0.3, -4 in increasing order.\nAnswer: -4, -2, l, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20238 and 162.\nAnswer: 546426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 260 + -256. Solve -y*t - 2 = -10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {e: 2, x: 2, c: 2, q: 5, r: 1, g: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (2 + 0 - 0) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 + 6*y + 6. Let h be q(6). Suppose -4*z + h*z = 150. Let a = z + -18. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 982, 1987, 2990, 3991, 4990, 5987, 6982?\nAnswer: 7975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 156 - 126. Suppose -26*m + f*m - 1368 = 0. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 2)*(-2*a**5 + 1426*a**4 - 1426*a**4 + 11).\nAnswer: -6*a**5 + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-160)\/75*6 + (-8)\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -56\/5 + 12. Factor 0*v + 2\/5*v**2 + a*v**3 + 2\/5*v**4 + 0.\nAnswer: 2*v**2*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1671 + 3671. Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -3*i + l + 4, -l = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -2*m**3 + 12*m**2 + 16*m - 55. Calculate a(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of 6*s**2 + 9*s**2 + 7 + 7 - 48. Let w(c) = -22*c - 12. Let x(h) = 2*h + 1. Let l(y) = -w(y) - 12*x(y). Calculate l(b(t)).\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(1\/6)\/s)\/(s\/(s**(2\/19)*s)))\/(s**3)**(-16))**(3\/14) assuming s is positive.\nAnswer: s**(5503\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43.6 + -44. Let j = -4.1 + 3. Put g, j, -3\/5 in increasing order.\nAnswer: j, -3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-12)\/(-8))\/((-6)\/(-148)). Let h(w) = i*w - 89*w + 42*w. Let q(s) = s. Determine q(h(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*k**2 - 220*k + 220*k.\nAnswer: 37*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90 = 265*q - 274*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 3135118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(22186*r - 12696*r + 11566*r + 16737*r).\nAnswer: 37793*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4*x + 305 = -4*w, 0 = -3*w + x - 232. Let b be (-66)\/w*2\/6. Let r = 4 + -3. What is the nearest to r in b, 0.3, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 258 is divided by 84.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, 4\/7, -882, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**1)**(-1\/6)*(r*r*r**1)**(-28\/9))**47 assuming r is positive.\nAnswer: r**(-893\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times -0.077?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001022 (base 3) in base 11?\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82716721.\nAnswer: 41, 83, 109, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 PM and 7:09 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -168 + 96. What is the tens digit of (-1928)\/l - 2\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 3*l + 84. Let j be k(-33). Put 5, 4, j, 3 in ascending order.\nAnswer: j, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2144 and 8509.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 21*i**2 + 67*i + 7. Let z be d(-17). Let n be (2*(-18)\/z)\/(-9). What is the nearest to n in -4, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(9\/15)*(-3)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 90, 177, 262, 345?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -86*p - 97*p - 221333*p**2 + 221272*p**2. Let z(l) = l. Give -j(b) - 183*z(b).\nAnswer: 61*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*b - 9*b + 1007. What is the highest common factor of 371 and b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**4 - 405*o**3 + 9395*o**2 - 44955*o - 54760.\nAnswer: 5*(o - 37)**2*(o - 8)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 167\/30 and -89\/11364.\nAnswer: 56820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/7, -1\/5, 15384, -9, 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16*h**2 + 29 - 10*h**2 - h**2)*(26*h + 32*h + 13 - 57*h) to o*h**3 + r*h**2 + g*h + k and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffxuuuufkfkxxkuk. What is prob of sequence ffuf?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of 13*t**9\/252 - t**8\/336 - 61*t**5\/30 + 6*t**2 - 1. Find the third derivative of x(y) wrt y.\nAnswer: 3120*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4400 - 4398. Which is the third smallest value?  (a) -1.15  (b) -5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9\/18 - (0 - 2\/28). What is the nearest to 16 in -3, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -41*h**2 - 29*h - 32. Give b(-1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1)**(-2\/7)\/(j**(-1\/4))**(-42\/13) assuming j is positive.\nAnswer: j**(-199\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -391*j - 238 + 125 + 113 to z + a*j and give a.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2029888 divided by -184?\nAnswer: 11032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1 + 0. Let m = 7\/6 + -5\/6. Suppose v + 6 = 4*v - 3*r, 2 = v + 4*r. What is the nearest to m in v, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -1623527*l + 4870622. Determine f(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -6*o**2 + o + 2. Calculate q(-6).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - q - 106 = 0, 2*c + q = -3*c + 560. Let v = c + -71. Calculate the lowest common multiple of 32 and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -3*y**3 + 22*y**2 - 7*y + 44. Let w be t(5). What is the highest common divisor of w and 1426?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 + 6*l - 1. Let x be a(-7). Let q(g) = 13 - 2*g + 0*g + 0*g. Let j(v) = -v - 169 - 170 + 346. Calculate x*q(f) - 11*j(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add -34.187 and -275.\nAnswer: -309.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/8  (b) -130  (c) 3  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -490, -974, -1458?\n\"Answer: -484*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1262, -1277, -1300, -1331, -1370?\n\"Answer: -4*w**2 - 3*w - 1255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -2*l - 5. Let s(p) = -p**3 + 11*p**2 + 12*p - 6. Let w be s(12). Let t = 53 + -44. Calculate the least common multiple of t and a(w).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44 and 124?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 92\/31, 0.3, -2\/7, 27, -21?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/3 + -2)\/((-48)\/720). What is the highest common factor of 190 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7738369, -7738377, -7738385?\nAnswer: -7738393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3478098 is divided by 40442?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = 5*p - 1, 5*l + 3*p + 134 = 132 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -204 divided by -6\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/(-2) - 141\/(-27). Let u = 4 - 4. Find a, given that u - j*a**3 - 8\/9*a - 8\/9*a**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 2*w. Let r(j) be the third derivative of -j**8\/20160 + 7*j**5\/60 - 10*j**2. Let m(z) be the third derivative of r(z). What is m(k(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 192*x**2 + 48*x + 3.\nAnswer: 3*(8*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 - 4\/(-4)*6. Find the second derivative of 7*p**2 + 7*p + 8*p**2 - b*p**2 wrt p.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) 49\/2  (c) -1  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -48 - -118. Suppose -2*g + l - 52 = 0, -97 = 4*g + 3*l + 7. Let u = -2 - g. Calculate the remainder when x is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1239 and -5351.\nAnswer: 6629889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 1096*v - 283796. What is k(259)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 33*d**2 - 161*d + 29. Calculate the remainder when 104 is divided by o(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7554061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.7 + -6. Let r = 0.1 - s. Put -0.1, -2\/29, r in ascending order.\nAnswer: -0.1, -2\/29, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25 and 50776.\nAnswer: 1269400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of -u**6\/10 - 3*u**5\/70 + 4*u. Let b(f) = 0. Calculate f.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2241048*a**2*x**3 - 108866*a**2*x**2 - 2*a*x**2 wrt x?\nAnswer: -13446288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 37*b - b**2 + 6 + 21*b in the form m*b + h*b**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + d - 1926 = 0. Suppose -3*r + 10 + 12 = u, 30 = 5*u - r. Suppose -q - d = -u*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 10) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14833.50396 - -14834. Let p = 0.49 - b. What is p rounded to 4 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 26\/5 of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8508*j**6 - 6858*j**2.\nAnswer: -1020960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120736 is divided by 5478?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -523 - 247 - 630 = -1400*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 - 8*k**2 - 9*k + 15. Let h be w(-6). Let c be h\/(3\/(-6)*3). Solve -c + 14 = 2*b - 2*p, 0 = 4*b + 3*p - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10964 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 m(z) = -52*z**2 - 4*z - 25. Determine m(-3).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (-13)\/(13\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1039719494?\nAnswer: 2, 11, 47259977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 171 and 3?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 326 = 2*j + 2*z, 662 = 4*j + 9*z - 10*z. Solve -j = 22*d - 143 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-2)*(-2536)\/(-3170). Let t = -44 + 37. Sort 0, q, t, 3 in decreasing order.\nAnswer: 3, 0, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y. Let w(l) = 194363*l**2 - 586*l. What is w(a(b))?\nAnswer: 777452*b**2 + 1172*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lbzngyg. Give prob of picking 1 g and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 2*r + 3*r - 33, -p - r = -21. What is the remainder when 34 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of -15*x**2\/2 + 6. Let d(r) = 5*r. What is d(a(f))?\nAnswer: -75*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 26 - 4 = -5*x, -4*x = 3*c - 21. Solve -1 = 2*a + 3*l - x, 5*a + 18 = 4*l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 9*a - 28. Let m(u) = -5*u + 14. Let w(p) = -7*m(p) - 4*r(p). Let k = -10 - -17. Is w(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, i: 2, j: 1, h: 1, f: 1, a: 1}. What is prob of picking 1 h and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -36 in 3, 0.025, 2?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*x = 24 + 32 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 207 and 2139.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42 + 76. Let d = l - 29. Suppose 5*a - 1287 = -2*t, 4434 - 1230 = d*t - a. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = 139805 - 34805. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zyzkgzkyzzz. What is prob of sequence yk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, w: 2, t: 2, m: 2}. Give prob of sequence uw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2130 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 - -13. Suppose 2*c = 4*c + 3*x - 18, -3*c + 32 = v*x. Calculate the greatest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5782\/9 + 5794\/9. Let l = 2.1 + -10.1. Let y = l + 4. Which is the nearest to 0.1?  (a) y  (b) t  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/1125)\/((-1)\/(-105) - 2184\/(-11466)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-24)*16\/(-12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10702054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 5*k = 20, 16 = 12*f - 8*f + 4*k. Let z(t) = -t**3 + t**2 + 1. Let y(i) = i - 17. Let h(g) = -y(g) - z(g). Give h(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61296791 to the nearest integer?\nAnswer: 7829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 1:54 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 - -1) + (-416)\/(-2). Suppose -t = -3*w - 2*w. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 - 38*n**2 - 32*n - 78. Let d be a(-39). Let h = -1913 + d. List the prime factors of h.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 997*d = 1151*d + 11088 for d.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/2 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**1\/p*p)\/p**2*(((p**(-16)\/p)\/p)\/p)\/(p**(2\/37)\/p))**(-11\/7) assuming p is positive.\nAnswer: p**(7348\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1067 a factor of 56502985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -3*s + 0 + 0*s**2 + 0*s**5 + 0*s**6 - 5\/56*s**8 + 0*s**3 + 0*s**7 + 1\/3*s**4. Find the third derivative of q(m) wrt m.\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -19, -120, -379, -874, -1683, -2884?\n\"Answer: -13*m**3 - m**2 - 7*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5 + -4)*144\/1. Let z = 1870\/13 - i. Which is the third smallest value?  (a) 1  (b) 4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e, 1 u, and 1 o when four letters picked without replacement from uueoeeeoeeeeeeeooeo?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qllmltt. Give prob of sequence ltq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9192*j - 171847 = -7897 + 77684 + 153622 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1288 + 1753. What is the greatest common factor of 45 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11809705 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + 1 + (4 - 16) - (-6 + -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 3*c**5\/7 - 66*c**4\/7 + 291*c**3\/7 + 792*c**2\/7 + 432*c\/7 = 0?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t. Let a be k(4). Suppose -5*q - 3*b = -12, a*b - 16 = -2*q - 0*b. Let n be (-2 - -3)\/(1\/2). Solve 2*w = u + 13, u - n = -w - q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.597 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 55?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -10*p**3 - 5*p**2 - 2*p + 2. Let k be y(-3). Suppose q - 3*q = -b + 177, -k = 3*q + 5*b. Let f = -19 - q. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, p: 7, a: 4, t: 4, u: 1}. What is prob of picking 1 l and 2 p?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3121370.\nAnswer: 2, 5, 7, 17, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -5a1 (base 16) to base 4\nAnswer: -112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 - -27. Suppose 4*c + u = 5*c. What is the third derivative of j - 34*j**2 - c*j**3 + 30*j**2 - j wrt j?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 536 - 546.23. Let q = -0.23 - o. Let c = q - 8. Is c at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2048*d**5 + 5*d - 2963?\nAnswer: -40960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 331 - 328. Suppose -3*p + 6875 = j, -p = q*j - 6*j - 2305. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 717*i - 718*i = 5*l + 71, -5*l = -5*i - 325 for i.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1880, 1895, 1924, 1973, 2048, 2155?\n\"Answer: y**3 + y**2 + 5*y + 1873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 58396, 116892, 175386, 233878, 292368, 350856, 409342?\n\"Answer: -m**2 + 58499*m - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (22 + 61 - 4)*(42 - 42 + 24*j**4) as y + m*j**3 + l*j + v*j**2 + i*j**4 and give i.\nAnswer: 1896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-9)\/6)\/(33\/22). Let x be 279\/54 - z\/(-6). Round x to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67.478 + -1.207\nAnswer: -68.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -2*x + 2, -17 = -3*k - k - 3*x. Let o(r) = 4*r - 9 - 3*r + 9*r**2 - 2*r**3 + r**3. Let w be o(9). Do w and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13327364 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*o**3 + 2 - 2 - 25*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (845000\/(-6))\/((-22)\/(-528)). Round u to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 1, 5, -9 in decreasing order.\nAnswer: 8, 5, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -320 by -2.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 7132 + 1424 = 0. Let d = -474 + l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10\/15)\/((64\/12)\/(-4))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17.448 in -3, -0.1, -242, -0.3, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006425888 to five dps.\nAnswer: -0.00643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -491, 0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 4*u - 440 = 0, -u = 2*d - 2*u + 208. Let o = -29 - d. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -7*k + 1. Let y be -7 - -1 - (2 - 2). Let x = -246 - -241. Let p(u) = 8*u - 2. Let f(t) = x*p(t) + y*b(t). Give f(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3264)\/(-867))\/((-210)\/595).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of 3*a**4\/16 + 5*a**3\/4 - 115. Solve b(j) = 0 for j.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 4959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3*j**3 - 10*j**2 - 7*j - 14. Give r(-3).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10200 and 1200.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 1779*p**2 + 1783*p**2 - 2 - 31*p**3 - 3566*p**2 as y*p**3 + v*p + b*p**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76730776 is divided by 105?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13433 is divided by 462.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/2*(-216)\/1680*65\/156.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 3*l = -17, 202*l = -2*b + 207*l + 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 - 116 = 2*u - 11*u. Solve -6*w = u*w + 100 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -610 smaller than -608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 758?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4725.37 - 347.03. Round v to the nearest 10.\nAnswer: -5070","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 5 - 15*t)*(-4 - 8 - 3*t + 7) + (2 + t - 2)*(-t - 2*t - t) to n*t + x + f*t**2 and give n.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from hhhhphhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2790*g - 38 = -2*q + 2782*g, 3*g = -4*q + 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + u = 4*u + 27, 0 = 3*u + 9. Let x be 855\/(-3465) + (-2)\/11. Sort g, x, 1\/4.\nAnswer: x, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342320514 rounded to the nearest one million?\nAnswer: 342000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 54, -8, -66, -120?\n\"Answer: 2*w**2 - 68*w + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-12)*15\/(225\/(-40))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 31 - -78b6a?\nAnswer: 78b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 7663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2922836200?\nAnswer: 2, 5, 14614181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.36 * 6073\nAnswer: 2186.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1791632 is divided by 597207.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 14007\/17020 - (-3)\/(-20)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k**3 - k**2 - 1. Let r(g) = 7*g**3 - 176*g**2 + g - 4. What is -4*l(o) + r(o)?\nAnswer: -o**3 - 172*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1167807267?\nAnswer: 3, 11, 23, 170957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 24, -1, -8, -89?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 0 = 8. Let c(b) = -2*b**2 + b**2 + 0*b**2 - 3*b. Let z(s) = 5*s**2 + 13*s - 1. Let t(g) = r*z(g) + 18*c(g). Factor t(y).\nAnswer: 2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -7, -24 in descending order.\nAnswer: 3, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 167*w - 2098. Calculate the lowest common multiple of r(13) and 0 - 2*(0 - (2 - -2)).\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 32 + -15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 + 121*p + 912. Let n be c(-7). What is the greatest common factor of 592 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -35 and 101.\nAnswer: -3535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2280566 from 1.0276.\nAnswer: 2280567.0276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -38, -3, -20 in descending order.\nAnswer: -3, -20, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 50076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/3 or 1500?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 257, 263, 269, 275, 281?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/7*(13 - 14) + 6788249973\/63. Round w to the nearest 1000000.\nAnswer: 108000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -34787 + 34790. Let r(a) = -14*a**3 - 4*a**2 + 4*a + 4. Let q(h) = -14*h**3 - 3*h**2 + 3*h + 3. Calculate o*r(p) - 4*q(p).\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1222 + 10021?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 AM and 7:56 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 247 divide 75846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvlvvpvvvvvxvvixpvvv. What is prob of picking 1 l, 1 p, and 1 x?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 23*o**2 - 26*o + 44. Let b be t(24). Let y(z) = -z + 51. What is the remainder when y(22) is divided by (4\/(-6))\/(b + 712\/180)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 + 33. Let t be -9*10\/180*3\/(24\/(-274)). Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10 and 34.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2001304 (base 5) in base 13?\nAnswer: -11417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6c + -a27?\nAnswer: -9aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 - 6*f**2 + 2. Let c be g(-6). Let p(a) = 3 + 3 - 5 + 5*a**2 - 2*a + 2*a**c. Calculate p(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-4)\/r)\/(r*r*r**(-1)*r*r*r))\/(r**(-1\/2))**50)\/((r*r\/(((r*r*r**0)\/r)\/r)*r)**49\/(r\/(r\/(r*r**4*r))*r**4)) assuming r is positive.\nAnswer: r**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 - 7*m - 3. Let h be (-6 - 0) + 2 + -1. Let p be j(h). List the prime factors of 3*-1 + 2 + p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 248694927.\nAnswer: 3, 13, 31, 205703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4.1  (b) 2\/9  (c) 2\/5  (d) 14  (e) -27  (f) 71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -221?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 566315472 a multiple of 5892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 5*m - 2. Let w(b) = -9*b**2 - 34*b + 1348. Give 7*h(y) - w(y).\nAnswer: 2*y**2 - y - 1362","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5\/(((-7)\/(-4))\/7). Solve -5*s + p = -5*n, -25 = 7*n - 2*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51836 = -3872*y + 3868*y. Round y to the nearest 100.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1642*o + 1642*o + 2*o**2 - o**3 + 130 + 59*o**3 wrt o.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4718 + 3979 + 1469 = 442*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together 20 and -5.3.\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1635 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5d08782 + 15?\nAnswer: 5d08797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -105.3 times -11476?\nAnswer: 1208422.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -31 - -41. What is the units digit of 110\/6 - t\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 118719569 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(8 + -56))\/((-14)\/96)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (11 - 4352*q - 6 + 4466*q)*(4 - 6 + 3) - q + 0*q + 6*q as k*q + r and give k.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 336.9  (b) 3\/26  (c) -1.2  (d) 0.3  (e) 1\/5  (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 24\/49 and -107\/1232.\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9068753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 + 23. What is the third biggest value in -4, -1\/3, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 284519?\nAnswer: 29, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 21526, 21525, 21524, 21523?\n\"Answer: -x + 21527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.591629 decades in millennia?\nAnswer: 0.03591629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(162\/(-1)))\/(((-348)\/480)\/29*-5)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34917173 to the nearest integer?\nAnswer: 5909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, -35, -72, -131, -218, -339?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 - 4. Let u(g) = 31*g**2 + 16*g. Let m(v) = 46*v**2 + 24*v. Let n(h) = b*m(h) - 8*u(h). Find the second derivative of n(r) wrt r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*g*u + 32448*g + u + 8208 wrt g.\nAnswer: 5*u + 32448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 447 + -447. Suppose a = 4*y - 16, -5*y + 22 = 8*p - 7*p. Calculate the remainder when 9 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 806 and 71331.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1487*j + 1506*j - 2527 = 0. Calculate the remainder when j is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 + -9. Suppose 0 = -3*z - t*w + 36, 4*z + 7 - 50 = -5*w. Let b = -1 - -7. Calculate the lowest common multiple of b and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 281.18 and -0.1?\nAnswer: 281.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 51 and 15?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of -223*v**4\/6 - 1639*v. Let f(j) = j. What is s(f(x))?\nAnswer: -446*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110100000 - 10?\nAnswer: -1110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three halves of a week in hours?\nAnswer: 3612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2596157.\nAnswer: 31, 83, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -8, 1\/5, 2\/7 in descending order.\nAnswer: 3, 2\/7, 1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (17 - 5)*((-195)\/10)\/13. Let x be ((-753)\/(-6) + n\/6)*2. What is the greatest common divisor of x and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12.4 * 2.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.03 and 0.2.\nAnswer: -0.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 2 - 4)*(-n + n**3 + n) - 25*n**3 + 7*n**3 - 3*n**3 to g + k*n + p*n**3 + c*n**2 and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/420)\/((18\/(-156))\/(11*14\/(-1001)))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -13404856 divided by -8\nAnswer: 1675607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -243*2\/(-9)*2\/(-30).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 4*o = 37, -m = 2*o - 3*o - 32. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -0.1. Let y = -0.1 + d. Let h = 1 + -0.7. What is the biggest value in y, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 - ((-16)\/(-12))\/(-4). Let s = -44.9 - -45. Which is the closest to i?  (a) 1  (b) 0.4  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 975650 is divided by 8558?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 21\/(-28) - 70\/(-8). Suppose -2 = 111*f - 109*f. Sort -4, f, g, -2 in increasing order.\nAnswer: -4, -2, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((7 + 14 - 18)*(-5 - 2 + 0) + 1 - 2 + 3)*(-2*p - 6*p + 2*p)*(-4*p - 2*p**2 + 4*p).\nAnswer: -228*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 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: What is 423 minutes before 7:35 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1614559191?\nAnswer: 3, 7, 1129, 68099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13125083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {m: 5, w: 1, b: 3, h: 1, z: 1, y: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2767 is divided by 2354?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.547853 nanometers in centimeters?\nAnswer: 0.0000005547853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 46651192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2*v**3 - 12*v**2 + 2*v - 1. Calculate l(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b**3 + 0*b**3 + 5*b**3)*(2 + 2 - 1) + 2*b**3 + b - b + (-2*b**3 - 2*b**3 + 2*b**3)*(0 + 2 - 4) + (3*b**3 - 6*b**3 + 0*b**3)*(3 + 2 - 3).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -625271 divided by -28\nAnswer: 625271\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 35503*a**2*q + a**2 - 5*a*q + 25*a + 2*q + 444647684 wrt a?\nAnswer: 71006*a*q + 2*a - 5*q + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 548912?\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 77438 - 41314. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 0. Suppose 9 = m*k - 0*k. Suppose -6*o + k*o = -w - 220, 124 = 2*o + 5*w. What is the highest common factor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-21)\/28*(-220)\/(-33) - -416. What is the highest common divisor of 42 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*j**6 - 176*j**5 + 17*j**4 - 24418*j**2.\nAnswer: 360*j**3 - 10560*j**2 + 408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 10*l - 154. Suppose -39*o - 11 = -167. Solve 2*a = -4*f - l - 0, o*f - a = -23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of 0*d + 0*d**4 - d**2 - 1\/840*d**7 + 0 + 1\/240*d**5 + 0*d**6 + 0*d**3. Let m(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 * -0.0413.\nAnswer: 0.2891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3.2  (b) 3.98  (c) 0.5  (d) -3  (e) 29  (f) -4  (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 16382, 65910, 148456, 264020, 412602, 594202?\nAnswer: 808820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 111552 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u**4 - 4*u**4 + 3*u**4 + (-3*u + 2*u + 2*u)*(7*u**3 - 6*u**3 - 3*u**3) as w*u**4 + a*u**2 + o + h*u + g*u**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126*g = -925*g + 60*g - 44141 + 7191 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((117306\/(-245))\/57)\/(3\/(-10)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 962.2 - 961.7. Which is the fourth biggest value?  (a) g  (b) -104\/19  (c) 2  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2 - -0.15. Let u = 0.055 + 0.045. What is the third biggest value in b, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 665772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {i: 12, l: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 75*f**6 - 4*f**5 + 17*f**2 - 4*f - 4. Let n(h) = -h**6 + h**5 + h + 1. Let z(w) = -g(w) - 4*n(w). Find the third derivative of z(k) wrt k.\nAnswer: -8520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(65)*-6 + sqrt(65)) + sqrt(65) + sqrt(65) + (sqrt(65) + -2*4*sqrt(65) - sqrt(65)) + sqrt(65))\/(-2*(sqrt(80) + sqrt(80)*5)*2).\nAnswer: 5*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - 12.1. Let z be (-92)\/16 + 30\/(-8 + 14). What is the nearest to z in j, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/(-200)*(1 + (-100)\/36).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*m - 3*m + 6*m + (0*m + m - 3*m)*(2 + 0 - 1) - m + 2 - 2 + 183*m + 187*m - 12 - 373*m.\nAnswer: -m - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5487 and 3780661.\nAnswer: 351601473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -414 - -789. Suppose 4*n - 5*r - 971 = 0, 4*r + f = 3*n - 352. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 12*n = 46215. List the prime factors of n.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*v - 130 = 76*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 - 2*s**2 - 5*s - 1039*s**3 - 32*s**4 + 2*s**2 + 20*s**4 + 1041*s**3 as h*s**2 + j*s + f*s**3 + g*s**4 + y and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16604210178529 - -16604210171570.999996099. Let r = z - -6958. What is r rounded to seven decimal places?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(85)*4 - sqrt(85)) + 5*sqrt(85)*-6)\/((sqrt(500) - (sqrt(500) - 2*sqrt(500))*1) + -3*(sqrt(500)*-1 + sqrt(500))).\nAnswer: -7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2802 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 0, -128\/3, -0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 497 - 1667 = -5*i. What is the highest common factor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - 2*q - 1. Let d(y) = 2*y**2 - 2*y - 1. Let w be d(-1). Let g = -149 - -158. What is the least common multiple of g and c(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*n - 2*n - 3*n)*(-17*n + 3*n + 6*n).\nAnswer: 80*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 7 + 1. Suppose -t*l - 8 = -0. What is the closest to 0.1 in 4, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -5*j + 25, 11*h - 4*j + 22 = 6*h. Sort h, -1\/3, 3, -9 in decreasing order.\nAnswer: 3, -1\/3, h, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 - 399*o - 10910. Determine h(424).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31222 is divided by 112?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33353433 is divided by 961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10\/((-120)\/(-126))*4\/6. Let u(k) = -3*k + 3. Let q(a) = 6*a - 7. What is h*u(f) + 3*q(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1679 - 323. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -152*s**3 + s**2 + 840*s.\nAnswer: -912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 16 = 2*u, -2*u - 3*u = 3*j + 48. Let p be ((-1)\/2)\/(3\/u). Suppose -2*a + 0*a + 8 = 0. Solve 6*v - p*h = v + 12, -v = a*h + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tsoouls. What is prob of picking 1 l, 1 t, and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 11:52 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, 4, 45, 134, 289?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1329 at most 1329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 745 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1685553*t - 4337607 wrt t?\nAnswer: -1685553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of -11*l**7\/210 - 2*l**6\/15 - l**5\/12 + 29*l**4\/12 - 6*l**2 - 10*l. Find the third derivative of y(z) wrt z.\nAnswer: -264*z - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 58 = 3*b - 4*j, 0 = 2*b - j - 58. Calculate the remainder when 53 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, o: 2, p: 1, v: 1}. What is prob of picking 1 v, 1 p, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 6*w**2 + 33*w - 119. Let s be u(-8). Solve 2*k + 4*b = 10, 4*b = 2*k - b - s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 - 16. What is the third derivative of 0*i**2 + 2*i**2 - 4*i**2 + i**z wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbwwsbhwwbhbbbw. What is prob of picking 2 w and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence enee when four letters picked without replacement from {n: 5, e: 15}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1140420 (base 6) to base 9.\nAnswer: 100883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.4 - -17.4. Let n = r - 16.825. Round n to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (125\/(-50))\/(5\/(-8)). Let g be (-16)\/(-12)*36\/1. What is the greatest common factor of g and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 508 - 508. Let n = 3\/31 + 7\/248. Which is the closest to 2\/9?  (a) n  (b) 3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (-8 - (-4 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 138.169 * -0.01.\nAnswer: -1.38169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (3 - 10) - -10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 33 + (-1 + 0)\/(9 - 10). Let n = 30 - u. Which is the third biggest value?  (a) 0.1  (b) 3  (c) n  (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26a8b9 (base 15) to base 6\nAnswer: -103454520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1231 is divided by 672.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 278620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -5*c + 12. Suppose c*g + g + 2*t = 809, -4*g = -2*t - 1088. Let z = g + -182. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (-2 - (0 + -5 + 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29880 and 1656.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -70, -478, -1602, -3802, -7438, -12870, -20458?\nAnswer: -30562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 - 1. Let x(d) = -7*d**3 + 2*d + 13. What is -6*f(p) + x(p)?\nAnswer: -p**3 + 2*p + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2882 + 2908 - 5*o**2 + o**2 - 4*o**2 to t*o**2 + u + g*o and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 3*y**2 + 114*y + 408 = 0.\nAnswer: -34, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -642 + 963.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196 = 48*x + 37*x + 594 + 145 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 f when three letters picked without replacement from {i: 3, f: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 500.97 - 508. What is f rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 246 and 902?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000391751 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 211098 divided by -6.\nAnswer: -35183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 29*u + 1. Let n be p(0). Let x be (-2)\/4*n*(-37 - -5). Let t = 1 - 1. Solve t = 2*k + 2*k + x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (136*a - 42*a + 107*a)*(-a - 1 + 0 + 3) + 4*a**2 - 5*a**2 + 3*a**2 as k*a + p + u*a**2 and give u.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s**5 + 6*s**4 - 504*s**3 - 1014*s**2 - 507*s = 0. Calculate s.\nAnswer: -13, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 253174, 506358, 759542, 1012726, 1265910?\nAnswer: 1519094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1522 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 18 = d + 38, 0 = 4*d + p + 4. Solve 5*r - 15 = 2*u, 4*u + r + 16 + 3 = d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 2*i**2 + 4*i + 5. Let w = 38 + -40. Calculate the remainder when 27 is divided by y(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3024 - 2049. Calculate the highest common factor of t and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -2*a**5\/3 - 1626734*a**4\/3 - 4880188*a**3\/3 - 3253456*a**2\/3 = 0?\nAnswer: -813364, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/12 + 357\/(-204) + (-8)\/(-48).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qwlqs. What is prob of sequence sl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 369 and 696213292?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 242 divide 182468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 243377157 to the power of 1\/3, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-8))\/t*t*t*t**(4\/3)*t)**48\/(((t\/t**1*t)\/t)**(-14)\/(t\/t**(-2\/19)*t*t**(-3))) assuming t is positive.\nAnswer: t**(11231\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/9 - 98*z\/9.\nAnswer: -2*z*(z + 49)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-41 - -36 - (-12 - (-19 + 10))) + 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -5, -25 in increasing order.\nAnswer: -25, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.05?  (a) -2\/7  (b) 0  (c) -32  (d) 0.5  (e) -0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4781, -4718, -4673, -4652, -4661, -4706?\nAnswer: -4793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-46))\/((-7071)\/(-4714))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3187351 or -3187350?\nAnswer: -3187350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17598 + -17577. Solve c*n = -2*m + 17*n + 20, -4*n = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**2 - 7*l**2 + 3*l**2)*(2 + 3 + 2)*((-2 + 5 - 1)*(1 + 0 - 4) + 2 - 4 + 1).\nAnswer: 49*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 3*z = 42, -3*d = -132*z + 134*z + 44 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 713*y**2 + 1289*y**2 + 3141*y - 1570*y - 1571*y.\nAnswer: 2002*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10736 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.5 + 7. Put y, 2\/5, -5\/4 in decreasing order.\nAnswer: y, 2\/5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 - 3*s**2 - 5*s. Let u = 23 + -25. What are the prime factors of z(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 34 + -35. Let p be ((-32)\/20)\/(m + 48\/50). Suppose 0 = 39*y - p*y - 32900. Round y to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17744 is divided by 17455?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 2*h - 186 = -6*c, 5*c - 310 = 5*h. What is the common denominator of 9\/120*-1*c and -73\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 2. Let t be (0 - (-2 - -2))\/(-1). Suppose 3*z + t = -9. Which is the third biggest value?  (a) 1  (b) z  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (3\/18*-3)\/((-3)\/1590) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + 19 + 1 + -6 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1222 and 1092.\nAnswer: 51324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from clclllllcl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -52 + 167. Let r = -17 - -32. Let c = l - r. Does 25 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12\/((-8)\/2) + 0 - -3. Solve 2*j - 7*j - 10 = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 614486760 divided by -9036570?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 2*sqrt(112).\nAnswer: 5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1, 0, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 240*q**3 - 10*q + 10. Let o be t(1). Calculate the highest common factor of o and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -4*b + 18, 4*b + 2*c = 5*b. Solve 0 = -b*n - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-267)\/(-180) - (-170)\/136) + -3.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 - 57. Let t = v - -39.0688. Round t to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -1031048*m - 19589898. Determine t(-19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11922?  (a) -5  (b) 133  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -1 + 5 + (41 + -15 - 35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 71*j - 15. Give z(-4).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 PM and 4:33 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2 - 57819720*o - 208945001304900.\nAnswer: -4*(o + 7227465)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 49028071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 e when three letters picked without replacement from masjbjbmeeme?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5953259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.025 - -0.125. What is the nearest to 2 in t, 1, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -77109314 + 1?\nAnswer: -77109313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of c**3*y + 584*c**3 - 5*c**2*y - 3*c*y - 149*c + 2*y + 1 wrt c?\nAnswer: 6*c*y + 3504*c - 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-46)\/11 + (-14)\/(-77). Let s = 2 - 2. Let d = 0.5 + s. What is the closest to 1 in d, v, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 201289 and 3190.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -479, -504, -529?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 2081769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -22.326  (b) -5  (c) -2\/17  (d) 0.3  (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 - 679\nAnswer: -678.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Calculate the common denominator of 95\/574 and -173\/2478.\nAnswer: 101598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10202021 + -21200122?\nAnswer: -102102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -4856565 divided by 6?\nAnswer: -1618855\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37677, -75267, -112855, -150441, -188025?\nAnswer: -225607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 8*n**3 - 98*n**2 + 24*n - 11. Let z be i(12). Put 0, 67, z in increasing order.\nAnswer: z, 0, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-10) - 0)*(-10)\/(-4). Let n = 2 - 1. Let d = -0.27 + -0.13. Which is the closest to t?  (a) 0  (b) d  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14014)\/260 + (-36)\/(-40)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.14  (b) -306  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17281\/38 at most -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, j: 3, o: 1, v: 3}. Give prob of picking 1 s and 2 j.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1595ba (base 14) to base 6.\nAnswer: 24110452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 13625 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 3, 1, -112, 8, 10, 5.\nAnswer: -112, 1, 3, 5, 8, 10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*n**2 - 13*n**2 - 20 + 9*n**2 - 3*n + n**2 + 3*n + (-3*n + n + n)*(3 + 2*n - 3) + n**2 - 7*n**2 + 0*n**2.\nAnswer: -4*n**2 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*2*((sqrt(228) + 1*sqrt(228))*-2 + sqrt(228)))\/(((-2*sqrt(360) + sqrt(360))\/sqrt(10))\/(sqrt(33)\/sqrt(275))).\nAnswer: -18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13.5 - 13.4762. What is w rounded to 3 decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 66*l**3 - 2371*l**2 + 118528*l.\nAnswer: 396*l - 4742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1112 (base 3) to base 5\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 2 c, and 1 m when four letters picked without replacement from {s: 2, c: 2, m: 11, d: 1, g: 1, q: 1}?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 4:26 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83819506?\nAnswer: 2, 283, 148091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (26 - 40) + (0 - -1 - -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + -4133404?\nAnswer: -4133400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f - 7. Let s be j(6). Suppose -2*k = k - s*h - 35, k - 2*h = 10. Let i be ((-1)\/(-1))\/(5\/k). Sort i, 0, -3 in ascending order.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of 1\/255*q**5 + 0*q + 0*q**3 + 12*q**2 + 0 + 1\/1020*q**6 + 0*q**4. What is f in w(f) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a minute in seconds?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -37*m**4 - 275?\nAnswer: -148*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 981 = -10*j - 1. Solve -4*k - 74 = -j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1579350.\nAnswer: 2, 3, 5, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22.1009961308 - -22.101. What is w rounded to 7 decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a - 5*a - a + (-2*a - a + 5*a)*(1 + 1 - 1).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(3\/10)*d**(1\/23) assuming d is positive.\nAnswer: d**(79\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -24782 - -5?\nAnswer: -24778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 871623 is divided by 435810.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -174212 + 174204.9473. Let j = k - -0.0527. Put j, 0.5, 13 in decreasing order.\nAnswer: 13, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2484 - 7385\/3. What is the common denominator of 19\/18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132\/17 at least 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 3 - 11768*k + 11783*k)*(-2*k - 1 + 1) in the form n*k**2 + d + c*k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*y - 1 - y**3 + 17*y + 1 as j + i*y**2 + t*y + l*y**3 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v + 2. Suppose 4*a - 21 = 43. Suppose -2*y = 2*y - a. What is the remainder when r(4) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-16 + 27) - -3 - 38 - (0 + 11).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by ((-35)\/(-10))\/(259\/1628).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 75 + 55. Solve -v*m - 5 = -0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 114221334 (base 5) in base 10?\nAnswer: 538969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1328*h*x**2 + 24*h*x + 6*h wrt x.\nAnswer: -2656*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -123551*w**5 - 362521*w**2?\nAnswer: -7413060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*x - a = 6*x + 35, x - 5*a = 31 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 - -11c1?\nAnswer: 11bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.6415 rounded to one dp?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -418 + 418 + 2*l. Let t(n) = -3*n**2. Determine g(t(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 112 = 5*s, 0*s = -5*s + w + 124. Suppose 3*a - 4*a + s = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -36*y - 4. Let g(o) = 19*o + 2. Calculate -5*g(f) - 2*s(f).\nAnswer: -23*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 429*t**2\/4 + 214*t - 1.\nAnswer: (t + 2)*(429*t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -2  (c) 5.83  (d) 2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 5, -q + 2*g + 153 = -g. Let h = -70 + q. What is the remainder when h is divided by 1\/3 - 68\/(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 4*l + 1. Let i(j) = j + 1. Let y be i(l). Suppose y = -u + 3*u - 12. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-228*103\/60564)\/((-1)\/7)?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 230 and 40365.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23413171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*o - 8*o + 135 = 0. Put o, 2, 35 in descending order.\nAnswer: 35, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10.99999877 - 11. Round h to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*-1 - (-2)\/(126\/133)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -122391 and -0.04.\nAnswer: 4895.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 3*i - 28 = 0, 4*t - i - 52 + 16 = 0. Let r be (t\/4)\/(4\/(-8)). What is the nearest to -2\/5 in r, -0.6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g + 11. Let p be -1 + 9 + (1 - 0). Let l(j) = -3 - 2*j - 1 - 8 - p. Let i(s) = 11*b(s) + 6*l(s). Determine i(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 2*p - 4 + 2, d + 2*p + 6 = 0. Let l be (4 - (d - (-4 + 3)))*1. Which is smaller: -2\/29 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/3 and -87\/1888.\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -13\/2  (b) 1\/7  (c) 5\/4  (d) 590\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 11*q**2 - 3. Let w be o(-3). Let p = -45 + w. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22 - 10. What is the remainder when 22 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/6)\/(4\/(-36)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 - 1 - (-7 + (146 - 30) + -18).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 911139 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-20))**(-9)\/((h\/((h*h**38*h)\/h))\/((h\/(h**39\/h))\/h)))**(9\/8) assuming h is positive.\nAnswer: h**(-1701\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - 0.1. Let i = n - 1.9. Let a be (1\/(-4))\/((-21)\/(-14)). Sort i, 1\/4, a.\nAnswer: i, a, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (201\/(-18))\/(-1) + (1955\/(-102))\/(-23). Solve -93 = y*a - 21 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 3*n + 30, -11 - 14 = -5*n. Suppose -i*l + 161 = -12*l. Is 5 a factor of -3*(5 + l) + 3\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/5 and -79\/15536?\nAnswer: 77680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*i**3 + 8*i**3 - 6 + 3 + 0 + 4*i**3.\nAnswer: -4*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 79. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 245904.1 weeks?\nAnswer: 2478713328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -17*a**2 - 44*a - 44. Let t(d) = 6*d**2 + 15*d + 15. Let q(s) = 8*t(s) + 3*w(s). Find u such that q(u) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 + 1445173.\nAnswer: 1445174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 37893000 in -0.4, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2\/19 - 22808*o\/19 - 22810\/19.\nAnswer: 2*(o - 11405)*(o + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24416137 is divided by 3947?\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*s + s - 10. Let y(i) = -i**2 + 0 - 1 + i + i - 34000*i**3. Let d be y(s). What is d rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of u**3 + 2. Let i(a) be the first derivative of 0*a + 3\/2*a**2 - 4. Calculate y(i(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 4:30 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29\/2158 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + 52?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 43 + -41. Let v be 5 + x*(-15)\/(-10). Let k(f) = f**3 - 7*f**2 + 2*f - 1. Is k(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -8, 2*r - r + 13 = 3*v. Let q = -6619\/21 - -315. Is q at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 - 7*p**2 + 9*p + 12. Let z be l(-8). Suppose -5*s + 2*q + 278 + 76 = 0, 291 = z*s + q. Let h = s + -356\/5. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 3*r**4\/2 - 96*r**3 - 4068*r**2 - 15072*r - 14664 = 0.\nAnswer: -26, -2, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 + 47*w**2 - 251*w + 40. Let r be b(6). Factor 50 - r*g + 1\/2*g**2.\nAnswer: (g - 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (103 - 106) + (2 - 1) + 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - 3*m + 0*m)*(m**2 - 3*m**2 + 0*m**2) - 19 + 19 + m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = 5*x + w - 25, 2*x = 3*w - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + 10*n**2 - 12*n + 1. Calculate c(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -533311 - -1222?\nAnswer: -532045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -40316653.180045 - -40498623.88. Let u = b + -181972. Let n = 1.3 + u. What is n rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*k + 0*k**3 - 39*k**2 + 3*k**3 + 40*k**2 + 10*k**4 - 2*k to l*k + f*k**4 + n*k**2 + p*k**3 + w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146*h - 156*h + 298*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3000.94*0.4\nAnswer: -1200.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -99074 + 3217?\nAnswer: -95958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.2 times 6.999?\nAnswer: 50.3928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 1455*s + 55 - 31 - 24 + 5569*s in the form a*s + n and give a.\nAnswer: 7024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 247010317 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllllalacclc. Give prob of sequence ac.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 4*z**3 + 2095*z**2 + 3647*z - 4148. Determine d(-522).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 20*p + 964. Determine h(-47).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = -4*h - 45. Let q = h + 40. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.082163 * 4\nAnswer: -0.328652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 623326 is divided by 627.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5.84*-26\nAnswer: -151.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 704 = 109239\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 3*v. Suppose -4*b + 14 - 2 = v. Suppose -b*j = -35 - 1. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-9)\/6)\/1 + 75\/2. Suppose -4*a = -3*a - 12. Calculate the highest common factor of g and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-34)\/(-10) + 8\/(-20). Let v(s) = j*s - 5 - 2*s + 4. Let a(f) = 6*f - 5. Let z(u) = u**3 + u**2 - 2*u - 1. Let d be z(-2). Determine d*a(c) + 4*v(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.68615 litres in millilitres?\nAnswer: 6686.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 693 - 691. Sort -3, -4, -0.2, p in decreasing order.\nAnswer: p, -0.2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -171.8  (b) 0.8  (c) 0.3  (d) 1\/4  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13424 in 4, -2\/1063, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-27806)\/(-12)*-4)\/(-15 + 2712\/180). What is r rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -8*k. Let g(l) be the first derivative of -6*l**2 + 435. What is g(c(d))?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 215493570 to the power of 1\/2, to the nearest integer?\nAnswer: 14680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2214 + 141735?\nAnswer: 144151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -408 + 213. Let d be 5\/4*(-104)\/h. Is d at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -4*f + 10. Calculate h(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -20d51?\nAnswer: 20d51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/v**(1\/4)*v)**(6\/23)\/(v**24\/v*v**(-3)) assuming v is positive.\nAnswer: v**(-887\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-9)\/(-2))\/(-3))\/(9*-1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -494 + 504. Solve -12*x = -c*x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6668\/17 + -392. Let u = -43\/34 - z. Which is the smallest value?  (a) u  (b) 4\/5  (c) 2  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3202 + -132?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -3992440 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1952950 divided by -281.\nAnswer: -6950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3 - 413\/(21\/(-3)) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of -l**5\/12 - 7*l**4\/24 - 7*l**2. Find the second derivative of h(v) wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 18\/(-8)*(-76)\/57. Let h be (25\/10 + v)*2. Put h, 4, -3 in increasing order.\nAnswer: -3, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**3 + 790*x**2 - 9425*x.\nAnswer: -5*x*(x - 145)*(x - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1962, -7854, -17636, -31308, -48870, -70322?\n\"Answer: -1945*n**2 - 57*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + -8. Let u be 2\/(-3) - (66\/9)\/r. Suppose -l = u*l - 20, 0 = 3*k + 4*l - 3317. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 244483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -527167*h**2 - 155904*h**2 + 9*h - 25*h + 14*h - 3261*h**2.\nAnswer: -686332*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -11*x**3 - 2*x**3 + 6*x - 10 - 4*x**3 + 6. Let d(u) = -u + 1. Let a(b) = -4*d(b) - y(b). What is the second derivative of a(o) wrt o?\nAnswer: 102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 - -22. Let x(v) = 20 - v - t + 9. Let z be x(19). Solve -5 = z*b - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184647 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1236330 divided by 1236330\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 677730 divided by 7790?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -18*f + 4. Let h(s) = -383*s + 771*s - 1 - 379*s - 1. Give 11*h(a) + 6*k(a).\nAnswer: -9*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29682649*v - 7550 = -29682498*v for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7014 and 5630677878?\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27427970?\nAnswer: 2, 5, 17, 161341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 7 - (-4 + 1 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -14*c**2 - 7*c + 10. Let k be y(3). Let n = k - -65. Is 13*(n - -4)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1150 - -1148.19. Round s to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1184 or 2\/5?\nAnswer: 0.1184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**3 - 164209835*k**2 + 656839400*k - 656839420.\nAnswer: -5*(k - 2)**2*(k + 32841971)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1116372, 1116370, 1116368?\n\"Answer: -2*u + 1116374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28 + 8 - 89)*(1 - 3 + 3 + (4 + 0 - 5)*(2 - 4 + 0) + 5 - 1 - 3)*(97*j**3 - j**5 - 97*j**3).\nAnswer: 436*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*(-8)\/(-16))\/(12\/3)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s*s**(1\/3))**(-38))**(-16))**(-31))**(4\/17) assuming s is positive.\nAnswer: s**(-301568\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, u: 2, v: 3, q: 9}. What is prob of sequence uqv?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o + 27. Calculate the remainder when 32 is divided by g(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 111 and -53385.\nAnswer: -5925735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-1\/2)\/((g\/(g\/g**(-2\/61)))\/g) assuming g is positive.\nAnswer: g**(65\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 j, and 1 t when three letters picked without replacement from jjjjsjttjeskjjk?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -665 divided by -156.\nAnswer: 665\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-a - a + 0*a)*(2427 - 2427 + 495*a**2) + (a + 0*a + 0*a)*(a - a - a**2) - a**3 + 6*a**3 - 3*a**3 in the form y + t*a**2 + c*a**3 + k*a and give c.\nAnswer: -989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(605) + -4 + sqrt(605) + (sqrt(605)*5 - sqrt(605)))*-1)**2.\nAnswer: -528*sqrt(5) + 21795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3549763 is divided by 507100.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -18, 22, 110, 264, 502?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-153 - -526) + -127 + -105.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -125, -138, -175, -248, -369, -550, -803, -1140?\n\"Answer: -2*l**3 + l - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 42 - 65.6. Let h = 22.5 + r. Is -1 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7926 greater than -8104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 + -5. Let v be 5\/(10\/x) - 2. Let d be (-14)\/(-4) + (-1)\/v. Solve -d*i - 5 = l, -3*i + 3*l = i + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, q: 2, l: 3, f: 7, h: 3}. Give prob of sequence ihq.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 + 2*c + 7917. Determine y(90).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-195 + 116)*1*(0 - -1). Is y at least -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 3:09 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 362041 + -309183097\/854. Find the common denominator of s and -101\/42.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000012831 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 22 = -6. Suppose a*u - 11*u = -16. Suppose 9*r - u = 8*r. Solve -3*p - 5*g = 2*p + 20, 5*p + r*g + 21 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*o = -24*o + 50960. Calculate the greatest common divisor of o and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 415*o - 103. Suppose -13*w + 123 + 215 = 0. Is l(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1071)\/85)\/((-60)\/50)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2728 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 781, 1478, 2175, 2872, 3569, 4266?\n\"Answer: 697*w + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04*-3.107655.\nAnswer: -0.1243062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 - 2*m + 4. Let a be v(-3). Let j(q) = q - 5 + a + 2. What is j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 5*a + 9 + 5 = 0, 4*b + 3*a = 14. Let u(m) be the third derivative of -25*m**b + 0*m + 0 + 1\/8*m**4 - 5\/6*m**3. Give u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + 4*w**2 + 21*w + 18. Let o be m(-1). Which is the second biggest value?  (a) -3\/4  (b) -4\/5  (c) o  (d) -0.1  (e) 3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/7 + (-230736)\/(-1064). What is the greatest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 + 3*d - 2. Let b(k) = k**2 - 4*k + 2. Let l(r) = 4*b(r) + 5*j(r). Let n be l(2). Let z be 0\/n + 2 + 3. Solve 3*q = 2*q + z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**4\/11 + 372*q**3\/11 - 7114*q**2\/11 - 16872*q\/11 + 23616\/11 = 0 for q.\nAnswer: -3, 1, 24, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -94 + 138. What is the remainder when q is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 10*t**3 - 6*t**2 - 6*t - 6. Suppose -79 = 16*n + 17. Let x(g) = g**3 - g**2 - g - 1. Determine n*x(i) + d(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + -22 + 10 + (1 - 9) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -71, -3, 3, 2, -1, -4072 in decreasing order.\nAnswer: 3, 2, -1, -3, -71, -4072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-10 + 80 - 121) + -12\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -507 - 1188 = 84*q - 102*q - 579 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -11137, 2\/9, 0.1, 7, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 6 = -0, -a - 4*k = -10. What is the third derivative of 278*p**2 - 128*p**2 + 49*p**3 - 2*p**4 - 189*p**a wrt p?\nAnswer: -48*p + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 41*o**2 - 1. Let t = 83 + -31. Suppose t*f - 13 = 195. What is the smallest common multiple of i(-1) and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - 3*l + 3. Suppose 7*h - 6*h - 4 = 2*j, -4*j - 3*h - 18 = 0. Let b(w) = -w**2 + 2*w - 2. Give j*b(c) - 2*z(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -3*s**3 + 44*s**2 + 22*s - 114. Let b be u(15). Let w(g) = 6*g - 15. Let f(k) = k - 1. Calculate b*f(v) + w(v).\nAnswer: -3*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 65 - 265\/4. Let z = 1554 - 1552. Which is the nearest to f?  (a) -0.1  (b) 0.5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -45*v + 132. Let q be l(2). What is the second smallest value in -0.1, 0.4, 0, -0.2, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.24 - -0.2. Let i = -37.8712 - 0.0288. Let r = i + 38. Which is the nearest to r?  (a) y  (b) 4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 753748.7 micrometers in nanometers?\nAnswer: 753748700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00042074647 rounded to six decimal places?\nAnswer: -0.000421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4916085 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -2*m**2 + 0*m**2 - 2*m + 0*m - 3. Suppose 0 = 3*c - 8*c - 10. Give x(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(200) + -2 + -1)**2 - ((sqrt(200) + 1)*2 + 3).\nAnswer: -80*sqrt(2) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.5 + 2.8. Let n = 0.1 + o. Which is the biggest value?  (a) n  (b) 0.1  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*o + 2*o - 8, 0 = -3*y - 2*o - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 81698*b*v**2 + 9*b*v - v - 555 wrt v.\nAnswer: 163396*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 14841595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1011 is divided by 911?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together -19884183 and 22.\nAnswer: -19884161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 936 and -0.1.\nAnswer: -93.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**0*j)\/j)**(-18)*j*j**(-2\/11)\/j*(j\/(j\/((j*j**(-1)*j*j)\/j)))\/j)\/((j**(2\/3)\/j)**21*(j*j\/(j**(-1\/3)\/j)*j)\/j**(2\/7)) assuming j is positive.\nAnswer: j**(640\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*z**4 - 70580*z**3 - 24893562*z**2 + 9965896*z - 996872 = 0. What is z?\nAnswer: -706, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o**2 - 2*o + 1. Let a(u) = 3*u**2 + 3*u. Let l(v) = 3*a(v) + 4*p(v). Let x(i) = -i**3 - 4*i**2 - 3*i. Let k be x(-3). Calculate l(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dggggxxgpggggggh. Give prob of sequence pg.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, -2, 968 in ascending order.\nAnswer: -5, -3, -2, 968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s**2 - 42*s - 13. Let z be b(-22). Let y be (162\/(-108))\/(z\/(-4)). What is the nearest to 0.1 in y, -2, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*d + 43030 + 30760 = 62555 for d.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/35 and (-6)\/80*(9 - 147*(-387)\/(-5589))?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*f - f + 14. Sort f, -2\/3, 0.2 in descending order.\nAnswer: 0.2, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.97 - -4.2. Let w = k - 0.03. What is the third smallest value in -1, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 55*x**3 - 32315*x**2 + 17610*x.\nAnswer: 5*x*(x - 587)*(11*x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 172*g**2 + 43*g - 7396. What is v(172)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from cqccmqmqqqmqqqqqqqcq.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -12*f**2 - 68*f - 6. Let d(r) = 37*r**2 + 197*r + 16. Give 3*d(a) + 8*t(a).\nAnswer: 15*a**2 + 47*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 47, 51, 57, 65?\n\"Answer: w**2 + w + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/9 + 24 - (-204266)\/(-12753)?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 378173 and 245611?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -4*j**2 + 5*j. Let g(n) = n**2. Determine s(g(f)).\nAnswer: -4*f**4 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 - 22*h - 102. Suppose -5*p - 14 = 3*u, p - 5*u + 7 + 7 = 0. Let l be d(p). Solve -6\/5*q**3 + 0 + 6\/5*q**l + 2\/5*q**4 - 2\/5*q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nxnhnnhhxynhy. Give prob of sequence xy.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 380716529 to the power of 1\/3, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of p**6\/2160 - p**5\/120 + p**4\/16 - 2*p**3 + 34. Let v(t) be the third derivative of y(t). Factor v(n).\nAnswer: (n - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 8 = -5*z, 785*r + 32 = 787*r + 2*z for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 108743081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 54 and 33.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 1 = -4. Let j(m) = 7 - 15 - 21*m + 7. What is the units digit of j(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 345 is divided by 63.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*i - 2*i. What is the remainder when ((-4)\/i)\/(8\/(-156)) is divided by (-37)\/(-7) - 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7458*c + 27239*c + 83174*c.\nAnswer: 102955*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 4*f + 526 + 580, 0 = 3*f - 9. Let r = 8053 + i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1453.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 9:46 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 49\/22 - -8\/11. What is the common denominator of u and 47\/1412?\nAnswer: 15532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 14*s**3 + 2*s**2 - 11*s + 3. Suppose 0 = -1530*q + 1534*q - 4*m - 40, 2*m = -5*q + 8. Let b(i) = 5*i**3 + i**2 - 4*i + 1. Calculate q*v(t) - 11*b(t).\nAnswer: t**3 - 3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -542, -564, -588, -614, -642, -672?\n\"Answer: -k**2 - 19*k - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**3\/7 + 97900*k**2\/7 - 1197169664*k\/7 - 21580785216\/7.\nAnswer: -2*(k - 24484)**2*(k + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h - 4*h = 150. 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: -5 + 22 + -25 + (0 - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 176486479?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-40)\/(-6)*(-6)\/(-4). Suppose -2*q - r - 2*r = -16, 5*q - 5*r = -x. Suppose q - 7 = -v. Solve v*y = y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -211031 (base 11) to base 8.\nAnswer: -1224274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 a factor of 11618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 555*n + 13. Let g be d(2). Let u = -550 + g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 75\/(-63) - -1*1. Let s be 1 + 3*1\/(-3). Is k less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m = 3*m + 25. Suppose -4*b = m*r - 35, 21 = 2*r - b + 4*b. Suppose r*j - 396000 = -0*j. Round j to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7263\/2 in -1, -4, -1.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1011111000011 (base 2) to base 6\nAnswer: -44055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 115847885, 115847890, 115847897, 115847906, 115847917?\nAnswer: 115847930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.3547t in kilograms?\nAnswer: 12354.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -45.77 to 0 dps.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -121*q**3 + 5038*q**2 - 7416605*q wrt q?\nAnswer: -726*q + 10076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 879394.\nAnswer: 2, 439697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45234021, 180936074, 407106163, 723744288?\nAnswer: 1130850449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1469159*j + 466626*j - 1107162*j.\nAnswer: -2109695*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + 2. Let y = u - 3. Let k = y + -1. Is 3\/5 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 50 + -50. Suppose 7*t - 200 + 39 = j. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 142 - 33. Suppose 55 = 2*p - x, 5*x = -2*p - 24 + c. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.21 + -0.3. Let m = 0.59 + h. Let k be (2 + (-2)\/(-3))\/((-6)\/(-9)). Put k, -4, m in descending order.\nAnswer: k, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-84)\/315*2325\/(-124)*(-102)\/60.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (237*t - 56*t - 86*t)*(-3*t - 3*t - t**3 + 4*t).\nAnswer: -95*t**4 - 190*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 1 = 2*x, -2*i - i = 2*x - 5. Let f be x\/((-1)\/(-213)) - -3. What is the least common multiple of 2\/5 - f\/(-10) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (10\/(-40))\/(3\/(-564)). What is the highest common divisor of k and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 323029*a**2 + 84557 wrt a.\nAnswer: 646058*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21024 and 10.\nAnswer: 105120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 6*b + 4 - 2*b - 6*b. Let n be j(-5). Let p = 15 - n. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/904482 and -43\/2424.\nAnswer: 365410728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -10 - 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o - 4. Let c(l) = 1. Let j(f) = 4*c(f) + s(f). Let t be 2 - 52\/8*4. Let g = t + 19. Give j(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1890239 by -19487.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/(-4))\/((-45)\/40). Factor -2\/9 + 2\/9*c**5 + 4\/9*c**2 - 4\/9*c**3 + u*c - 2\/9*c**4.\nAnswer: 2*(c - 1)**3*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = -2*y + 9, 9 = 5*x + 5*y - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = 4*n - 16, 2*n - 3*w - 8 = -7*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7\/4*y + 2*y**3 + 1\/4 + 7\/2*y**2.\nAnswer: (y + 1)*(2*y + 1)*(4*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -686*m**4\/5 - 14602*m**3 - 1968204*m**2\/5 - 269656*m + 109520 = 0. What is m?\nAnswer: -370\/7, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4690169l to millilitres.\nAnswer: 469.0169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*u + 2. Let w(k) = 7*k - 2. What is the remainder when 0 + (1 - (-30 + -3)) is divided by w(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -5*k + 42, 8*f + 51 = 4*k + 3*f. Suppose 0 = k*g - 14*g + 1045. What are the prime factors of g?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122097038 a multiple of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 - 3*v + 3. Let y(p) = -p**2 + 2*p - 2. Let f(i) = 3*y(i) + 2*z(i). Let m(x) = -13*x. Calculate f(m(u)).\nAnswer: -169*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 88039\/2798 at most as big as 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3169487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-552)\/18*3\/(-2). Let u = 12 + d. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.32751 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 3*o - 35 = 0, v + 21 = 3*o + 1 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2735158702 to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 3:12 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 42765405 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -6, -4, 313, 253, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 18a57b - -1a?\nAnswer: 18a599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 14\/191035 and -8.\nAnswer: 191035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1305802 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 13*n - 18. Solve 4 - 10 = n*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7298667 and 1377?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - 2214232002?\nAnswer: -2214232005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -62166957.000065 - -62167095. Let h = -138 + t. What is h rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, w: 1, o: 1}. What is prob of picking 1 o and 2 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 12:19 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -17, 4, -5, -6, -1, 2011 in ascending order.\nAnswer: -17, -12, -6, -5, -1, 4, 2011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -132*q - 5136. What is t(-39)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 + 8*j + 5. Let v be k(-5). Let u be (v\/6)\/((-2)\/(-6)). Which is the third biggest value?  (a) -3  (b) u  (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of 5\/12*v**4 - 5*v + v**3 + 0 - 1\/20*v**5 - 3\/2*v**2. What is l(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 divided by 1782926\nAnswer: 10\/891463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -205, -255, -305, -355?\n\"Answer: -50*n - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 168604 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130 = -5*g + 200. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of v**3\/3 + 5*v**2\/2 + 26*v + 11. Let k be x(0). Suppose 0 = l - k + 4. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -36 + 36.27. Let w = g + 0.25. Let b = w + -0.5155. Round b to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 0.25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -501 - -1066. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(20 - 144\/(-54)*(-4 + 1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 4 - (-10 - (13 + -16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1328*f + 120*f - 56950 = 3866 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 + 6*c + 8. Suppose -4*t + 0*t - 40 = 0. What is the remainder when k(t) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/c**(-3\/11)*c*c)\/(c\/((c**(-9)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(-74\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -2*m. Suppose -2*o + 366 = -j, 0 = -3*o - 3*j + 397 + 161. Suppose -o = p - 187. Solve g = -m*g - p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 57594423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-72)*(-8)\/(-1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2311 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence il when two letters picked without replacement from {p: 7, l: 2, i: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -4\/5  (c) 34  (d) -0.6  (e) 5  (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 38 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(-3\/5)*s))\/s**(-1\/4)*(s**(4\/7)*s)\/(s*s**(-4\/5)))\/(s\/(s\/(s**5*s))*s\/(s\/s**(-3\/7)*s)*(s**0)**(1\/16)) assuming s is positive.\nAnswer: s**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**2 + 106672*h - 1705728.\nAnswer: -4*(h - 26652)*(h - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/6760 and -33\/3380.\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 0.04  (b) -1\/3  (c) 0.15  (d) -0.5  (e) -1\/4  (f) 10532\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*p + 16 = -75*p - 2*j, 2*p + 8*j + 64 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j**2. Let c(w) = w**2 - w + 3. Let q be c(0). Suppose -2*p + q = -3*p + 3*u, -4*u = -8. Let r(m) = -p*m + 1 - 1. Give r(v(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109743*r**3 - 71*r + 109750*r**3 - 219495*r**3.\nAnswer: -2*r**3 - 71*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40425 is divided by 4019.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.4  (b) -2\/5  (c) 0.3  (d) -5\/4  (e) 13\/80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -4. What is the units digit of 3\/i - (-1)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (69880\/(-41928))\/(-2 + 1106\/558)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-42)\/63)\/((-2)\/774). What is the highest common divisor of 172 and t?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*l + 14*l + 14*l = -56*l + 2835 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -39*d**3 - 36*d**2 + 6*d - 6. Let u be f(-13). Suppose 260432 = 11*y + u. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 5:49 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -0*x + 5*a + 8, -5*x = -3*a + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 365 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3 - 7 + 2*q + 4 - q wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/6 + -2 - -1. Let j(l) = l**3 + 13*l**2 - 11*l + 39. Let r be j(-14). Let g = 0.9 + -0.6. Put r, g, f in increasing order.\nAnswer: r, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*n + 1 - 1)*(-2 - 2 + 5)*(5 - 5 + 21) in the form r*n + x and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 245253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 2*i + i - 9, -i = 3*p - 13. Suppose -2*k + a - 2*a + 125 = 0, -3*k + 195 = p*a. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -181*o + 8643 = -1674 for o.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1012101122101112 - 1102?\nAnswer: -1012101122102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 300, 266, -382, -1926, -4648?\n\"Answer: -47*m**3 - 25*m**2 + 370*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.064 + 0.236. Which is the fourth smallest value?  (a) -5  (b) y  (c) -3  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -8*b**3 + 40*b**2 + 3*b + 20. Determine a(6).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 0*j + 4 = 0, -2*j - 11 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 1774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 2 + 5 + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5931091.\nAnswer: 61, 97231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -1 + 1 - (-535 + 390 + (13 - -56)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - y + 175, y + 3*y = -20. Let d be 3\/12 + ((-123)\/c - 1). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 PM and 11:15 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 120310096699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2603 is divided by 136.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 479846, 479574, 479118, 478478, 477654, 476646, 475454?\n\"Answer: -92*v**2 + 4*v + 479934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 3224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the third derivative of t**6\/120 + t**5\/10 - t**4\/24 - 5*t**3\/6 + 24*t**2. Give s(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -9*y - 76. Let m be r(-10). Suppose -m*k - 9 = -17*k. Solve -k*f + 10 = -2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 - 95*h**2 - 285*h - 861. What is t(-92)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.07  (b) 0.4  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -156546550 - 5?\nAnswer: -156546555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -61*t**2 - 7*t + 5. Let f(r) = -61*r**2 - 6*r + 4. Calculate -5*f(p) + 4*k(p).\nAnswer: 61*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**2 - 30*o - 36. Let n be k(-14). Is (-424)\/n + 0\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.05100645375+-5270\nAnswer: -5267.94899354625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19112?\nAnswer: 2, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of -f**4\/8 - f**3\/3 - 4*f**2. Determine b(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20300414 - -22?\nAnswer: 20300441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -13, 3, -3, 2, -162.\nAnswer: -162, -13, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*k + 4*g, 10 = 3*k + 4*g - 2. Suppose 4 = -2*c - 4*l - 8, 5 = 5*c + 3*l. Suppose 2*y = 2*b - c*b + 158, -k*b + 67 = y. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 + -4. Suppose 5*w - 15 = -0. Sort -3, w, c in decreasing order.\nAnswer: c, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 304554054 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*b**5 - 20*b**4 - 15*b**3 + 50*b**2 + 40*b = 0. What is b?\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 187 and 850.\nAnswer: 9350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of m**4\/2 + m**3\/6 - 3*m**2 + 46*m. What are the prime factors of x(-5)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(108))**2 + sqrt(108) - (-2 + sqrt(243))**2.\nAnswer: -130 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 268\/28 - 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 119 + -117. Suppose -3*y + 5*a = -7, y - v*a + a - 3 = 0. Suppose y*d = -5*d - 4194000. Round d to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23403 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = 2*v + 71. Find the common denominator of (-3 - 0) + (-507)\/v and -83\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 + 5*k - 7. Determine p(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-7)*c*c*c**(-4))\/(c\/c**(-1))**(-3\/13))**(1\/74) assuming c is positive.\nAnswer: c**(-3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 + 17*g - 3. Let d(v) = 2*v**2 - 18*v + 2. Let t be ((-7)\/14)\/(1\/(-6)). Let b(m) = t*d(m) + 2*l(m). Suppose b(z) = 0. Calculate z.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/7)\/w)\/w*(w\/(w*(w**0\/w*w)\/w))\/w*w\/w**(2\/13)*w**1)\/(w\/w**(-1)*w*w*w\/(w*w**(-1)))**(-2\/17) assuming w is positive.\nAnswer: w**(230\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-13\/4)\/g)\/g)**(-13) assuming g is positive.\nAnswer: g**(221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 309788 + 3\nAnswer: 309791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2a98 + 5?\nAnswer: 2aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6259 a factor of 438965883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, v: 3, x: 6, z: 1, f: 1}. What is prob of sequence zx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -357 = x - 4*x. What are the prime factors of x?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.34265759 - -0.09736051. Let h = c + -4.44. What is h rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*r**2 + 146920 - 73459 - 73459 + 17*r**4 + 2*r**3 to the form s + c*r + j*r**3 + y*r**4 + i*r**2 and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + 10448103?\nAnswer: 10448100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**2 - 74573640*j - 223720875.\nAnswer: -5*(j + 3)*(j + 14914725)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*n**2 + 45724*n - 2391488.\nAnswer: -2*(n - 7568)*(3*n - 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 299 - 285. Suppose -19 = c*z - 19. Solve v + z*v + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 3927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -18631*120\nAnswer: -2235720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 112848, 112847, 112846, 112845, 112844, 112843?\nAnswer: 112842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z + 3*z - 2*z)*(5 + 2 - 3)*(-3*z**2 + z**2 + 4*z**2 + (0*z + z + z)*(-2 + 2 + 2*z)).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1245683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 + 216088*h + 1080472. What is l(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82557?\nAnswer: 3, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/8  (b) -0.07  (c) -2  (d) 0.06  (e) -0.4  (f) -23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from {g: 2, p: 7, z: 2}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/2 + (-10)\/10. Put 0, -5, g in ascending order.\nAnswer: -5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -10*n**2 + n - 3. Let a(g) = -20*g**2 + g - 6. Determine 3*a(l) - 5*b(l).\nAnswer: -10*l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -9. Let g be -3 + 8 - i\/2. Solve g*n + 24 = o - n, -5*n = -o + 29 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 269, 251, 227, 203, 185, 179?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -t + 7, 3*t + 5*c - 11 = 10. Let j be (12\/t)\/(5\/((-3395)\/2)). Let b be 12\/(-32) + j\/(-16). Calculate the greatest common factor of b and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*k + k**2 + 6*k**2 + 4*k**2 + 2*k wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -215645 or -215640?\nAnswer: -215640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**2 + 5*c - 1. Give q(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 18579 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: Convert 12 (base 7) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y**2. Let j = 200 - 140. Let x(p) = -8*p + 24 - j + 36. Determine x(a(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/9 - (-60)\/135?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -3*v**2 - 29*v + 12. Let m be y(-10). Let a be (10 - 2)*2\/4. Solve j - 10 = -3*q, 0 = -m*q + a*j - 8*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 27\/4 of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -1\/3, -2\/3, -0.434 in increasing order.\nAnswer: -2\/3, -0.434, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 28 + 4 = 0. Let o be 1 + 8 + l\/4. Let g(m) = m**2 - 6*m + 7. What is g(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1161751 (base 10) to base 7.\nAnswer: -12606013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that y**4 - 6192*y**3 - 93033*y**2 - 446792*y - 695184 = 0.\nAnswer: -7, -4, 6207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5346777?\nAnswer: 3, 83, 109, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14.12 + 13.8. Let c = 28.32 + -24. Let v = x + c. What is the biggest value in 1, v, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/10*(22 - 0). Let l = b + -35\/3. Is 0.3 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.0494061 or 4?\nAnswer: -0.0494061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29439839?\nAnswer: 11, 13, 23, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4781788027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 88 = 5*p + 5*k, 3*p = 3*k + 69. Let q(d) = 9*d + 3. Let x be q(8). Suppose 0 = -j - 25 + x. Calculate the greatest common factor of j and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*m - 88*m + 5 = -4*z, 5*z + 10 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r - 4*r - 3*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44 = -4*l - 15*n, -227*n + 229*n = 3*l - 86 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*j - j**3 + 5*j - 2*j**3 + 2*j**3 + 2*j**3 + (2*j + 1 - 1)*(2*j**2 + j**2 - j**2) + 3 - j**3 - 79753*j**2 + 79753*j**2 + 7*j.\nAnswer: 4*j**3 + 7*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 + 8*z**2 + 39*z + 10. What is c(12)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5568109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 8, j: 1, a: 3, r: 6}. What is prob of picking 3 a and 1 j?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 49.4 * -2955112.\nAnswer: -145982532.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.39 and 294763?\nAnswer: -114957.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 50 and 137850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 828\/76 + 28\/266. Suppose -7*u + h*u = -2*x + 3438000, 5*x - 8595000 = 4*u. What is x rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/5 in -269004, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s**2 + 5*s + 1. Let r be 153\/45 + 4\/(-10). Let z be i(r). Let l(v) = 73*v**2 + v. Is 20 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181890 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 480 divided by -1.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7489892 to three decimal places.\nAnswer: 0.749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 669416 and 5.\nAnswer: 3347080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 AM and 1:50 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 46 and 74014?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + -3. Suppose v + 0*v + 3*f = -9, -r*f = -v + 11. Calculate the least common multiple of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - 4.02. Let f = q - -0.02. Let g = -0.13 - -4.13. Which is the closest to f?  (a) -3  (b) -2\/7  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2948.853 - -4110?\nAnswer: 1161.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 50 + 3*a**2 - 4*a**2 - 37 - 11*a. Let k be g(-13). Do k and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*m*o**6 + 75*m*o**3 + 216*m*o**2 + 5*m*o wrt o?\nAnswer: 600*m*o**3 + 450*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 28\/(-810)*(-150)\/(-15). Let s = 1\/81 + w. Which is the nearest to 1?  (a) -4  (b) 0.3  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 2*a - 1, -4*a = -0*a + 20. Calculate the remainder when 48 is divided by ((-124)\/44 - s) + 568\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 249*p**4 + 240*p**4 - 518*p**4 + (2 - 2 + 3*p**2)*(5*p + 2*p**2 - 5*p) + (-2*p - 2*p**2 + 2*p)*(-p**2 + 3*p**2 + 0*p**2) - 2*p**4 - 6 + 6.\nAnswer: -29*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.159 - -0.141. What is the fourth biggest value in 0.4, n, -2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of 0*r**2 + 0*r**5 + 0*r**7 + 0*r**3 + 9*r + 1\/7*r**8 + 0*r**6 + 0 + 1\/2*r**4. What is the third derivative of s(f) wrt f?\nAnswer: 960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0007226502829 to five dps.\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*t + 28042 = -2*t, -18694 = -2*a + 3*t. Suppose 4370 + a = 10*z. Suppose -10*x + z = 472. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 430*s**5*v**2 - 27*s**2*v**2 - 3*v wrt s?\nAnswer: 25800*s**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/5)\/((156\/10)\/6 + 1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - 2012?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 3*m - 213, 0 = 3*f - 6*f + m + 213. Let v be (0 + 1 + -4)*-15. Let t = f - v. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-5)\/(-2))\/((-1)\/(-2)). Let b be -1 + y + -1 + -1. What is the biggest value in 1\/8, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 4010, 15732, 35270, 62624, 97794?\n\"Answer: 3908*c**2 - 2*c + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99 = -34542*k + 34551*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + w = 48. Suppose -3*p = -4*s + 6, 0 = -5*p + p - 5*s - w. Is (-4884)\/(-6)*p\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10001011010010 (base 2) in base 16?\nAnswer: -22d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 16520000 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.08, 0.1, 3, 5, -62, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 878 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -6*u - 22. Let m be t(-4). Solve m*i + 3 = -i + 3*q, 4*q - 4 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, 0.6, -18, -0.5, -1\/7 in decreasing order.\nAnswer: 0.6, -1\/7, -2\/5, -0.5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3332*u = -3293*u. Put -4, 1, 161, u in decreasing order.\nAnswer: 161, 1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48603235.\nAnswer: 5, 19, 26927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 421014034 (base 5) to base 14.\nAnswer: 332699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -74 - -124. Let f = -112 + t. Let q = f - -61.99999991. Round q to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p + 7. Let l(r) = -1. What is 2*l(a) - u(a)?\nAnswer: 2*a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 760 by 760.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117*w - 194*w + 516882 = 0. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1137 + 1137. Suppose 3*t = -y + 70, 2*y + 2*t = 4 + 116. Sort y, q, -4, 4 in decreasing order.\nAnswer: y, 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -34*w - 19. Is r(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/10 and -85\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -311*a - 18 = -314*a - m, 4*a - 58*m = -510 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 26780115 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 m(j) = j**2 - 158. Let t(p) = -p. Calculate t(m(d)).\nAnswer: -d**2 + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-21)*-3*(11 - 12). Let o be 1 - -3*7\/(147\/14). Factor 1\/7*a**4 + 2\/7*a**2 - q*a**o + 4\/7*a - 3\/7.\nAnswer: (a - 3)*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 6:57 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 1 + 2 = 0, -4 = -s + 3*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 AM and 5:33 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n - 7. Let d be i(-8). Let m be (6\/10)\/((-3)\/d). Let u(o) = -o - 5. Let b = 3 + -10. Let j(g) = -2*g - 11. Calculate b*u(t) + m*j(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 + 77*q + 1131. What is d(-27)?\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 f when four letters picked without replacement from pffffffffffpffffffff?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 3)*(0*y - 7*y + 4*y) - 11076*y + 25172*y + 5 - 12661*y.\nAnswer: 1441*y + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**2 + 5*n + 23. What is the remainder when 83 is divided by b(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -293 in 4, 26, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 1 - 3*y + 3*y - 4 - 5*y**3. Let n(j) = 11*j**3 + 7. Let z(i) = -14*k(i) - 6*n(i). Calculate z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 51, -0.095, 118 in increasing order.\nAnswer: -0.095, 51, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/2774655 and 19\/59670.\nAnswer: 5549310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 528 and 30?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -91 - -93. Let d(r) = 37*r**2 + 3*r - 1. What is the units digit of d(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -0.3  (b) -3  (c) 14  (d) -157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 + 2*b**2 - b. Let y be d(1). Let u = y - 0. Suppose 0 = -o, u*r + 12 = 3*r + 2*o. Sort 0, -3, r in descending order.\nAnswer: r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j + 293 - 293. Let p(y) = -4126*y + 4106*y - 3*y**2 + y**2. Calculate r(p(h)).\nAnswer: 4*h**2 + 40*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {w: 3, y: 7, d: 2}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2482 and 1904?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/18*(-3)\/4. Let o = -121579 + 7416320\/61. What is the third smallest value in n, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.66 - -0.34. Let u = -37139\/5 + 7394. Let x = u - -34. Which is the second smallest value?  (a) x  (b) i  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 5 = 2*c - 5*v, 5*c - 4*v - 6 = 0. Let j = -8 - -12. Which is greater: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + a + 2. Let u be c(-2). Let m(y) = -2*y**3 + 3*y**2 - 8*y + 20. Let q = -544 + 546. Let d be m(q). Solve d = 3*f + 1 + u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 13556866.2 and 0.1008.\nAnswer: 13556866.3008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 839 by 6.\nAnswer: 839\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 81245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 371 - 263. Suppose -14*f - 22*f = -s. Factor 16\/5*x**2 + 2\/5 - 2*x - 8\/5*x**f.\nAnswer: -2*(x - 1)*(2*x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pdd when three letters picked without replacement from pdpddrppprdrparpdd.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of m**4\/24 + 7*m**3\/6 - 5*m**2\/2 - 1. Let c(d) be the second derivative of u(d). What is the units digit of c(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44194, -88417, -132674, -176971, -221314, -265709, -310162?\nAnswer: -354679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, -1894, 129, 1?\nAnswer: -1894","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**4 + 65*y**3 - 1024*y**2 - 260*y.\nAnswer: y*(y - 10)*(y + 26)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 217*j + 14*j**2 + 1 + 218*j to the form v*j + i*j**2 + y and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -5.7.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f**2 + 4*f**2 + 3*f**2 + (2*f - 4*f - 5*f)*(-168*f + 159*f + 121*f) in the form b + k*f**2 + l*f and give k.\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 7*t**2 - 54*t + 544. What are the prime factors of a(52)?\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 7*c = -3*c + 16, -c + 47 = 4*v. Let l = 0.1 + -0.3. What is the nearest to 1\/4 in 0.1, l, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -501, -1142, -1889, -2730, -3653, -4646?\n\"Answer: 2*o**3 - 65*o**2 - 460*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 8 - -1) + -130 + 135.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-6)\/12*0 + (-106)\/16 and 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 7728050, 15456102, 23184156, 30912212, 38640270, 46368330?\n\"Answer: l**2 + 7728049*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-5)\/25)\/(8\/10). Which is the closest to w?  (a) 5  (b) 2  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.51 + 1.6.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2100121 + -11?\nAnswer: -2100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -388*r**2 + 388*r**2 + 24*r**5 + (3*r - 3*r - 2*r**2)*(-5*r**3 + 2*r**3 + r**3) + (-4*r**2 + 85 - 85)*(-r**3 - r**3 + r**3).\nAnswer: 32*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that z**2 - 62*z + 961 = 0.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -364*x**3 - 46167*x**2 wrt x?\nAnswer: -2184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1904746.87 - 1945233.7192. Let t = a + 40420.8. Let u = t + 0.1492. What is u rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100000011001111 (base 2) to base 11\nAnswer: -11513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 22\/(-1) - (2 + -3). Let w be 3\/q - (-44)\/14. Suppose -2*z = w*k - 5, -k + 3*z = -0*z - 9. Solve 2*n - i + 10 = 0, k + 5 = 2*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d25 - 23?\nAnswer: -d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -57*k + 104*k - 17 - 57*k to c*k + b and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -89*z**3 + 47*z**3 - 59*z + 44*z**3 + 26*z**4 wrt z?\nAnswer: 312*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from twdttdwtttttt. What is prob of sequence wtd?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (88\/(-63))\/(-4) - (-12)\/(-21).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21105 - -21081.67. Round d to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 40*a. Let t(h) = -441*h. Calculate 5*t(f) + 56*u(f).\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 1823 = 1820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f**2 - 2526*f - 54704 = 0. What is f?\nAnswer: -104\/5, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 996426 + -1743426. Round n to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3615 divided by -1\nAnswer: 3615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f + 2*f - 3*f + 0*f - f + 3*f + 3*f + 0*f - 2*f + (-1 - 1 + 4)*(2*f - 1 + 1) + 2*f + 0 + 0 + 28 - 6*f - 10*f + 18*f to c + y*f and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1222814565?\nAnswer: 3, 5, 7, 3881951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 11*k - 5. What is q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -369.\nAnswer: 1\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 707743 (base 8) to base 5.\nAnswer: 24432233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41586.\nAnswer: 2, 3, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != 20069442.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -141 - 462. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 u, and 1 f when three letters picked without replacement from rkkkukkfkkkpjpk.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 3:58 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1667, -3056, -4445, -5834, -7223?\n\"Answer: -1389*y - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*d - 197 = 491. Calculate the least common multiple of 1536 and d.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.04 + 1.96. Let f = -1.638 - 0.362. What is the closest to t in f, 2\/15, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/15205599 and -71\/227970.\nAnswer: 152055990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*w + 2*v + 5, -4*v = -5*w + 11. Put -1, 49, 0, w in descending order.\nAnswer: 49, w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 15*l**5\/8 - l**4\/4 - 15*l**3\/4 + l**2\/2 + 15*l\/8 - 1\/4 = 0.\nAnswer: -1, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c. Let x(p) = 16*p - 6*p - 7*p. What is x(q(u))?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5688292 to the nearest integer?\nAnswer: 2385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 747946.\nAnswer: 2, 367, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 45442402 to the power of 1\/3, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y + 3*y + 0*y + (-1 - 2 + 1)*(0 + y + 0) - 1 + 1 - 3*y + 0 - 6*y + 8*y - 1.\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 2*q + 61860, -q = 11*y - 7*y + 30941. What is the hundreds digit of q\/18*8\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.4  (b) 3\/5  (c) 6\/11  (d) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-25)\/60)\/((-5)\/15)*8\/8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 420ab0 (base 13) to base 15.\nAnswer: 2077bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 4*f**3 - 1364*f**2 - 4*f + 1364 = 0.\nAnswer: -1, 1, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 16) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**2 + 541 + i**2 - 505)*(9*i + 14*i - 8*i)*(3 + 3 - 4).\nAnswer: 30*i**3 + 1080*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 - 12*x**2 + 6. Give o(-7).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 366489 to the power of 1\/2, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 68127 and 1623.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 16*r**3 + 47*r**2 + 10*r - 4794. Let t(c) = 3*c**3 + 3*c**2 + 1. Let j(o) = -g(o) + 6*t(o). Find the first derivative of j(y) wrt y.\nAnswer: 6*y**2 - 58*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -27*n + 6. Suppose -4*a - 5*l = 0, 5*l - 8*l - 27 = -3*a. Let i be y(a). Is -128 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*k + 4*k**3 + 22*k + (2*k**2 + 5*k**2 - 4*k**2)*(-2 + 2 + 5 - 2*k) to s*k + l + j*k**2 + r*k**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 525\/2 + -3671\/14. Suppose -21 = 2*k - 5*t, 0*k + 5*k - t - 5 = 0. Which is the nearest to 1\/4?  (a) 0.4  (b) k  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-168)\/92*23 - (-28)\/(-12)*(3 + 0)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -3*f + 3*f + f**2. Let u(b) be the second derivative of 0*b**2 + 0*b**3 + 1\/12*b**4 + 10*b + 0. What is u(d(i))?\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 121373 - 121373 - 17*t to a*t + g and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 11 = -r, -5*b - 1 = -4*r - 48. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3\/3 + 43616*s**2\/3 - 1255256*s.\nAnswer: 2*s*(s - 86)*(s + 21894)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -272\/91 - -22\/7. Let g(m) = -m - 26. Let o be g(-21). Let w be (o - (-7 - 1))*2\/15. Which is the smallest value?  (a) z  (b) 0  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16946 - -97401794.\nAnswer: 97384848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-347 - 1289*u - 217 + 564)*(-3 + 0 + 5) to the form o + n*u and give n.\nAnswer: -2578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 603000 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) -2\/7  (c) 0.06  (d) -16\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 592, 1184, 1776, 2368?\n\"Answer: 592*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 55896, 55930, 55986, 56064, 56164, 56286, 56430?\n\"Answer: 11*f**2 + f + 55884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = 203*u - 536 - 61 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 478649 divided by 241.\nAnswer: 478649\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7564 - -33430?\nAnswer: 26977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 54, 196, 426, 738, 1126?\nAnswer: 1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - m - 2 = 0, 13 = -4*y + m + 1. Let r be ((-5)\/y)\/(2\/4). Let t = -5 + r. Solve 3*q + 5*s = 21, t*q + s - 9 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g**2 + 5*g**4 + 2*g**3 - 4*g**2 - 7*g**4)*(4*g + 0*g - 3*g).\nAnswer: -2*g**5 + 2*g**4 - 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*c**2 + 52240*c - 5805.\nAnswer: 5*(c + 1161)*(9*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2276745 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + 3 - 3)*(9 + 4 - 8) + (1 - 1 - 3)*(-a + 3*a - 4*a).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -71392, -142783, -214174, -285565?\n\"Answer: -71391*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 517996?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2723 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -aa15 (base 14) in base 5?\nAnswer: -1420134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -386761428.9000053 + 386761452. Let w = g + -23.1. Round w to seven decimal places.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21690\/(-1440) + 32\/512?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13*b**2*f**4 + 2000*b**2*f**3 - 315309*b**2 wrt f.\nAnswer: -52*b**2*f**3 + 6000*b**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**3 - 1209*x**2 - 23280*x - 114900.\nAnswer: -3*(x + 10)**2*(x + 383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 45, -3 in descending order.\nAnswer: 45, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**3 - 740*b**2 - 735*b.\nAnswer: -5*b*(b + 1)*(b + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*l**2 + 962996*l - 962996*l.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (22 - (23 - 12)) + (-2 - -12) + (-50 - 2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 26 + (-44 - (-44 - -4)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -5*v - 4. Let k(c) = -23*c - 18. Let x(i) = -27*i - 21. Let z(y) = 4*k(y) - 3*x(y). Determine -7*s(p) + 3*z(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 37654 and 891613.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 120.28395ms?\nAnswer: 0.0020047325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -3, 0.08, 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/8 - (-3129)\/84. Let l = 654 - 321. Calculate the highest common factor of l and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 29 + (-4)\/(-8)*-2. Suppose 2*a = 3*q + 3, -2*a + q + 0 = -1. Suppose -5*h + 2*i + o = -86, -h - 5*i + 12 = a. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21696804817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -78\/7 + 82\/7. Let o(t) = -4*t + 4. Let c be o(-2). Let n be 1\/c - (-1)\/(-4). What is the biggest value in n, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 439*i**4*v + 3*i**2*v + 6*i**2 + 2*i*v wrt i?\nAnswer: 10536*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u**3 + u**2 - 2. Let y = 27544 + -27540. Let r(p) = -3*p**3 - p**2 + 1. Calculate y*r(d) + 3*f(d).\nAnswer: -6*d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 270666927?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10809 is divided by (-8)\/12 + (-5 - 930\/(-18))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 + o + 1. Let r(i) = 6*i**2 - 4*i - 11. Let j(w) = 492*w - 2465. Let x be j(5). Determine x*d(v) - r(v).\nAnswer: -v**2 - v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -4*h**2 - 1324*h + 1328 = 0.\nAnswer: -332, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73491, -73481, -73471?\nAnswer: -73461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 74 + -77. Let h(r) = 3*r + 4. Let f(m) = -3*m - 3. Let x(w) = n*h(w) - 4*f(w). Let g(z) = 6*z**2 + 6*z - 6*z. What is g(x(u))?\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/22 and 52\/(-16)*(-3 - (-115)\/35).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60057.\nAnswer: 3, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -17, 21, 5 in ascending order.\nAnswer: -17, -5, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6839 + -6837. Let m(c) = -c**2 + c + 3. Let d(l) = 2*l**2 - l - 5. Let s(p) = 3*d(p) + 5*m(p). Let w(f) = -f. Give o*w(i) + s(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 12422 (base 6) to base 8\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 1 - 1)*(-65*n - 578*n - 830*n) in the form l*n + g and give l.\nAnswer: -2946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 82*b**2. Let o(x) = -105867*x. What is j(o(i))?\nAnswer: 919041378498*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -20 and -68?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 1427 divide 2928204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -41*w - 19. Let y be p(-6). Suppose 3*h + 284 = f, -y - 58 = -f + 2*h. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1948*z = 1998*z + 400 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 9:53 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3141023 (base 5) in base 9?\nAnswer: 80176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1595 is divided by 70.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2 - 5952*x - 82740.\nAnswer: -3*(x + 14)*(x + 1970)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 - -9. Sort 1, 4, d in ascending order.\nAnswer: 1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 1, 819 in descending order.\nAnswer: 819, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y**2 - y**2 + 25*y**2 - 2*y**2 + 0*y + 0*y + (-3 + 2 + 2)*(-3*y**2 + 3*y**2 - 2*y**2).\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1150\/9 + -128. Let q = 68.5 - 59. Let b = q + -10. What is the second smallest value in r, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 183\/122 + 162\/12 - 26\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 319 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-15))\/(168\/60).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52601156 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123684239212 + 123684239212 + 4*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.106164 + -15032062?\nAnswer: -15032062.106164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 63 + -34. Suppose -5*k + 4 = -a + w, 4*a - 36 = 4*k. Suppose a*m - 76 - 99 = 0. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.2822 + 1.2822. Let w = 0.6 + 0.4. Which is the closest to x?  (a) -3\/7  (b) -4  (c) 1.2  (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + m + 3, -l - 12 = -5*l + 4*m. Suppose l = -5*o + 3635 + 6380. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.35, 2, 0.3 in descending order.\nAnswer: 2, 0.35, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 69128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1550238, -3100304, -4650370, -6200436, -7750502?\n\"Answer: -1550066*g - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.899 times 0.7?\nAnswer: -9.0293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21963 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - 2)*(-3 - -2). Let p(v) = -v**3 - 4*v**2. Let z(u) = 3*u**2. Give m*z(a) + 2*p(a).\nAnswer: -2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that q**5 + 411*q**4 + 8579*q**3 + 8169*q**2 = 0.\nAnswer: -389, -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1457*181485\nAnswer: -264423645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*d - 379 - 1 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j*j*j**(-1)*j)**(-2\/13))**(-1\/20))**37)**(2\/5) assuming j is positive.\nAnswer: j**(74\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 2*s + 3. Let m be z(5). Let c(n) = -n**3 - 12*n**2 - 2*n - 10. Let o be c(m). Suppose -3 = -4*v + 5*y, o*v - 4*y + 2 = 13*v. Sort 0, v, -1.\nAnswer: -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + 5 + -6 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*z - 2)*(2*z - 4*z - z) + (z - 3*z + 4*z)*(-z - z + 0*z) + 5*z**2 - z**2 - 3*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1662  (b) -1\/4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of n**7\/399 - 16*n**6\/285 + 63*n**5\/190 - 10*n**4\/57 - 100*n**3\/57 + 3926*n - 2. Find p such that i(p) = 0.\nAnswer: -1, 0, 2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeeeweeeeewe.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -0.3, 1, 5, -1\/5 in descending order.\nAnswer: 5, 1, -1\/5, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.16 or 0.071?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1798997.2227 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 6*i - 5. Let p be 3\/(-12) + (-33)\/36 + i. Let c = 0.2 + -0.4. What is the closest to c in 2, p, 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12481140 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 3*c - 4*s, c - 1 = -3*s + 2*s. Suppose -r = -5*x + 26, -r + 6*x - c*x = 10. Let k(w) = -2*w**2 - 11*w + 7. Let p be k(r). Solve -l - 5 = -p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c + 3. Calculate n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.249966712 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1126 - 801. Suppose 0 = -2*x + 949 + z. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*s - 28*s = -22012 - 51938. Is 29 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*d**3*n**3 - 4*d**3*n + 26*d**2*n**3 + d**2 + 2*n**3 wrt d.\nAnswer: 24*n**3 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -527bfe (base 16) in base 7?\nAnswer: -63643020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m**2 - 10*m**3 + 15*m**3 - 7*m**3 - m**2 to the form q*m**3 + s*m + k*m**2 + y and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4300 greater than 20100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 14\/(-3)*108\/(-21). Let n be ((-9)\/g)\/((-1)\/(-4)). Which is the nearest to -1\/3?  (a) 1  (b) n  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 502417 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((18675\/(-15))\/(-15))\/(1*((-48)\/(-6))\/(-8))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*v - 5*r, 2*r = 2*v - r - 45. Let z = -15 + v. Solve z*n + 3*n - 24 = -3*d, -5*d + 25 = 2*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 - 100850391\nAnswer: -100850391.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 20 = 2*f, 5*f - 35 = 5*l - 25 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 - 7*f - 9. Let v be w(8). Let c be (-337)\/6 - 33\/(-22). Let g = c + 55. Sort g, 2\/5, v in ascending order.\nAnswer: v, g, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate l**3 + 0*l + l - 4 - l wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m**(-8)\/m))\/(m**(-3)\/m)*(m*(m\/m**10)\/m)\/m**21)**(15\/4) assuming m is positive.\nAnswer: m**(-255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((5 + -2*2*(sqrt(468) + -2))*6 + -2 + -1)*-4)**2.\nAnswer: -345600*sqrt(13) + 4403088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of p**2\/2 - 40. Let b(r) = -16*r - 545. Let c(x) = 43*x + 1636. Let w(k) = 8*b(k) + 3*c(k). What is w(d(u))?\nAnswer: u + 548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -271*u + 19874 = 19603 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1369651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -88*c - 9. Let z be p(-8). Calculate the common denominator of (-6 - 358\/(-60))*z\/(-2) and 157\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*c**5 + 62*c**4 - 13*c**3 + 504411*c**2 - c + 1.\nAnswer: -660*c**2 + 1488*c - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -72*f**5 - 22128*f**4 - 304442*f**3 - 605942*f**2 - 177020*f - 14064 = 0.\nAnswer: -293, -12, -2, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 77633.20541 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*o = 29 + 11, -o - 145 = -5*h. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1830869653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*o**2 + 5*o - 3*o + 2*o - 2*o in the form h + m*o**2 + v*o and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 248683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, a: 2, c: 5}. What is prob of picking 1 c, 1 l, and 2 a?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from suusss. Give prob of picking 1 u and 3 s.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -306 + -5?\nAnswer: -30b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of 3 + 0*v**2 + 0*v + 13\/3*v**3. Let o(h) = -h. Determine w(o(i)).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 3 = 4*y. Do y and -9\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 22 + -224123?\nAnswer: -224101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2653*s**2 + 3736?\nAnswer: 5306*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - 839*x**2 + 4997*x + 11. Calculate r(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 2:56 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49 + 47. Let b = -167 + 1067\/6. Find the common denominator of -3 - (-306)\/(-48) - 6\/j and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46440584766956 less than 0.5?\nAnswer: -46440584766955.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = 2*o - 5*z, -3*z - 6 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2085050269 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-63)\/14*(-4)\/30\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = -2*h + 5*h - 12, 2*h - 8 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 29757972467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 AM and 8:12 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -394 - -331. Let v = 129 - c. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a. Let h(j) = -59*j + 2531. Determine h(m(l)).\nAnswer: -118*l + 2531","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.017  (b) -1  (c) 4  (d) 12  (e) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 + 6*r + 1. Let x be u(-6). Let k = 5 - x. Let i = 57 - 54. Which is the third smallest value?  (a) i  (b) -0.2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r - 96 - 89 - 105 + 396 - 106.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -7, -13, -19, -25, -31?\n\"Answer: -6*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - 4*y + 2*y)*(2 + y - 2) + 84 - 176 + 5*y**2 + 17*y + 91.\nAnswer: 6*y**2 + 17*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 79*z + 69. Let k(y) = -39*y - 35. Let h(c) = 13*k(c) + 6*m(c). Is h(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -33?  (a) -6\/7  (b) -0.0208  (c) 3\/5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -8. Suppose a - w = -1. Solve -1\/4 - 1\/4*r**a - 1\/2*r = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -2*k**3 + 8*k**2 - 5*k + 2. Let u be m(3). Suppose d + d - 20 = u*a, 7 = d - a. Suppose 3*q - 11 = 1. Solve 4*y - d*i = 25, q*i = -y - y + 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 665, 1346, 2013, 2660, 3281, 3870?\nAnswer: 4421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 64\/(-12) + 4\/(-6). What are the prime factors of ((-4448)\/g)\/((-60)\/(-90))?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 10*z - 4*z. Suppose 3*c + 3*d - 59 = 4*d, -z*d = 5*c - 117. What is the remainder when 314 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the third derivative of -11*g**5\/50 - 167*g**4\/60 - 2*g**3\/3 + 429*g**2 + 1. Factor a(o).\nAnswer: -2*(o + 5)*(33*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-2)\/(-6)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24 + -21. Suppose -2*r + d*r - 54 = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5148, 1, -5, 4\/9, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 11 + -3 - 126\/(-7). Suppose 11*k + 5*b - 100 = 6*k, -2*b + 10 = 0. Let j = k - 5. Solve j = -5*u + 5*r, -2*u - 2*r + y = 2*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 6528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = -i - 17, -2*n = -4*n - 3*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 + 3*c + 3. Let v be t(3). Suppose -4*a - 44 = 3*w, w = 2*a - 4*w - 4. Let h be (2 - 4)\/(2\/a). Solve j = o - 8, -4*o + v*o = 3*j + h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 12:43 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-five quarters of a hour?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 170627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.06 and 410.4347.\nAnswer: 24.626082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -23, 24, -2.\nAnswer: -23, -2, -1\/5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 785672098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -95 minus 1380026.66?\nAnswer: -1380121.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 83 - 84. Let l be ((-2)\/(-3))\/(4\/30). Let g = 926 - 924. What is the closest to r in g, -5, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -541*k**2 - 82 + 44 + 38 - 18*k**2 - 8*k to g + n*k**2 + c*k and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o + 8*o + 9 = -2*p, 5*o = 4*p + 3. What is the units digit of p - -6*(-17)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2761997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1348\/20 - 8\/20 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8*(-22)\/528)\/(567\/(-42))?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 2, 0 = o - 2*c - c. Let v(p) = -2 + 5*p + 2*p**3 - 3*p**2 - o*p**3 + 0*p**3 - p. Determine v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 17 - ((-6)\/48*0 - 7). Solve -s + a = 5*v, 0 = -v + 5*s + 9 + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oooooodo. Give prob of sequence oooo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 19*z**2 - 4*z - 31. Let g be m(-20). What is g rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 525 a factor of 204225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w**5 + 40*w**4 - 1412*w**3 - 4616*w**2 + 8608*w + 11776 = 0 for w.\nAnswer: -23, -4, -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -86*n + 79*n + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (868206813\/15 + (-2)\/10)\/(-2). Let v = 42573278 - s. Let r = v - 40813505. Round r to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-7 + -2 - (30 + -27 + -20)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3784, -2329, 94, 3485, 7844?\n\"Answer: 484*a**2 + 3*a - 4271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 351*f. Let w(s) = 30*s**2. Give w(c(x)).\nAnswer: 3696030*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1435 - 10043\/7. Suppose -1 - 11 = -q - j, -2*q + j = -27. Let n be (-5)\/(-3) + -15 + q. Which is the nearest to u?  (a) 1  (b) n  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3220012151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-14)\/42)\/(1\/15). Let h = t + 1. Let c be 30\/h - 51\/(-34). Is 0.6 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12 + 25 - y - 15 - 9*y**2)*(-6*y - 3*y - 12*y) in the form l + w*y + m*y**3 + j*y**2 and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.7 + 2.3. Let c = 49 + -52. What is the second biggest value in c, -3\/5, a?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -124, -695, -1648, -2983, -4700?\nAnswer: -6799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20 - 22. Which is the third biggest value?  (a) 1\/11  (b) -4\/7  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 315*c - 12. Let i(v) = 1035*v - 5. What is o(i(r))?\nAnswer: 326025*r - 1587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 426468921 and 4191.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73914 divided by 127.\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002215 to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 38716728*t**3*y**2 - 4*t**2*y - 14*t*y**2 + 13*y**2 - 12535*y wrt t?\nAnswer: 232300368*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of -n**5\/60 + 29*n**4\/12 + 124*n**3\/3 - 2*n**2 - 565*n. Find f such that x(f) = 0.\nAnswer: -4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002408395 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -121*j**3 + 11*j + 11. Let a(p) = 40*p**3 - 4*p - 4. Determine -11*a(b) - 4*x(b).\nAnswer: 44*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 347, 4, 12142, -5 in descending order.\nAnswer: 12142, 347, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/(-50)*15\/(-78)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 94, 4\/7, 5.\nAnswer: 4\/7, 5, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 32151120223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 6*o**2 + 3. Let n be l(-6). Suppose 2*a = a + n. Factor -8*w**2 - a + 2*w**3 - w**2 + 9*w + w**3.\nAnswer: 3*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*o - 16*o + 6*o)*(-3*o**2 + 0*o**2 + o**2) + 2*o**2 + o**3 - 2*o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*n + 168 + 24*n - 6*n - 15*n + 180 to the form z*n + t and give t.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 at least 1542\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 983, -8 in ascending order.\nAnswer: -8, -3, 983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9341.773ml to litres.\nAnswer: 9.341773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/16)\/((-22)\/22)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2542)\/(-10) - 8\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*5\/(-40)*4)\/((-7)\/7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -9*x**2 + 11*x + 36. Let f(i) = -3*i**2 + 4*i + 12. Let n(w) = 11*f(w) - 4*l(w). Determine p, given that n(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of 1\/8*w**4 + 0 - 4*w**2 - 9*w + 1\/6*w**3. Let r(j) be the first derivative of a(j). What is r(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - -15. Suppose -17*c + 63 = -u, 35 = 5*c + 137*u - 134*u. What is the remainder when 1\/(2*1\/x) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 654 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**5 + 2*q**5 + q**5 + (1 - 1 + 2*q)*(2*q**4 - 3*q**4 + 2*q**4) - q**5 + q**4 - q**4 + q**5 - 10*q**5 - 5*q**5.\nAnswer: -11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 11*m - 3. Let w(n) = n**2 + 12*n - 3. Let v(b) = -6*w(b) + 7*z(b). Give v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35994535671 less than 0.9?\nAnswer: -35994535670.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5582268 and 12?\nAnswer: 5582268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -46*j + 52 + 90 + 134 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.019 - 0.199. Let r = 0.18 + t. What is the nearest to -0.1 in 0.1, r, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -88.795 - 0.205. Let o = 88.59 - -0.01. Let p = q + o. Which is the second smallest value?  (a) 0.2  (b) -2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2*a - 1. Let s be o(4). Let t(b) = 3*b + 1 - s*b + 7*b. Give t(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/22 and 38\/35471.\nAnswer: 780362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-56)\/32)\/((-57)\/(-912))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1007 by 44131.\nAnswer: 1007\/44131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/54)\/((-1175)\/(-141) - (3 - (-3 + 1)))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 458497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/828*-18*(33\/18 + -2)?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggsgfgfssgfgsf. What is prob of sequence ss?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 0, 5, 42142, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (13\/2 - -1)*(30\/(-35))\/(2826\/24178)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((42\/30)\/(-7))\/(3\/45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h**2 + h. Let y(q) = -12*q**2 + 2*q - 1. Let n(k) = 8*t(k) - 3*y(k). Let x = -1 - 2. Is n(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -85d (base 16) to base 8\nAnswer: -4135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/16)\/((-93)\/(-24) + 1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3 + (0 + ((4*-2*sqrt(27) - sqrt(27) - sqrt(27)) + sqrt(27) - sqrt(27)))*6)*3.\nAnswer: -1080*sqrt(3) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/196*-8 - 9\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -56 - -59. Solve -4*p - 9 = q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*g**5 - 4028*g**4 + 28052*g**3 - 51988*g**2 - 12072*g + 72000 = 0. What is g?\nAnswer: -1, 2, 3, 1000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(847)*-2*5.\nAnswer: -110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -938 not equal to -901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*t = -191 + 113 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/203 and -24\/493.\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 - 6*w + 4. Let c be s(-6). Let f = 1.406 - 1.806. Let j = -0.1 + -0.1. What is the biggest value in j, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -66773.81443 - -67661.823. Let t = n - 888. Round t to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(50)\/sqrt(5) - (sqrt(480)\/sqrt(3) + sqrt(10)))\/(sqrt(1458)*3*4).\nAnswer: -sqrt(5)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*t**2\/5 - t\/10.\nAnswer: -t*(32*t + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -93\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of 2*d**6\/15 - 3*d**5\/5 - 11*d. Factor g(m).\nAnswer: 4*m**3*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 88432950 and -1093.87?\nAnswer: 88434043.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-5)*500\/75.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the first derivative of 4 - h**2 - 2\/3*h**3 + 0*h. Factor z(a).\nAnswer: -2*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 434.994551 rounded to two dps?\nAnswer: 434.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 11*w**2 - 9*w. Let i be z(2). What is the greatest common divisor of 650 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-33)\/(-6) + -6)*2*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -19 + (3 - 1 - 22).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000265626 to 6 dps.\nAnswer: -0.000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 PM and 4:18 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -181a921 + 5?\nAnswer: -181a917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*l*n**2 - 17*l - n**2 + 99*n - 94 wrt n?\nAnswer: -18*l*n - 2*n + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 993767 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 15*c - 360 = 0. Calculate the remainder when c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of -3 + 332\/4 - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 + 4*z**2 + 4*z + 1. Let l be f(5). Let u(b) = -b + 3. Let c be u(l). Is (-2)\/c + 1304\/56 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1134 and 7452?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 143433220212 + -3?\nAnswer: 143433220204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43890 - 438793\/10. Let o = -29337929\/8 + 3661251. Let c = o - -6000. Find the common denominator of y and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 23 = -4*o - 0*c, -4*o - 3*c - 7 = 0. Suppose 0 = o*w + 2*w - 8. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 5, m: 11, o: 3, i: 1}. Give prob of sequence oo.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 763, 0.05, 9.39?\nAnswer: 763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-9)*t\/t**(1\/5))\/((t*t*t*t\/(t*t**(-2\/29)\/t))\/(t\/t**(2\/69))) assuming t is positive.\nAnswer: t**(77059\/10005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 736442133.\nAnswer: 3, 7, 35068673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/7662 and -51\/10162366?\nAnswer: 30487098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - 3. What are the prime factors of -2 + 9*h*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(18)*5 - (sqrt(2) + (sqrt(50) - sqrt(450))**2 + sqrt(2)) - (sqrt(4)\/sqrt(2)*-6 - 2*sqrt(50))).\nAnswer: -29*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d\/(d*d*d**(-1)))\/d)\/(d*d**(-3)))**(7\/3)*((d*d**(1\/3))**(2\/93))**(-7) assuming d is positive.\nAnswer: d**(1246\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.9717 - 0.0283. Let v = -37 + 36. Which is the third biggest value?  (a) -0.01  (b) n  (c) -4  (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 96*y**4 - 2327*y**3 - 2*y**2 - 21559343 wrt y?\nAnswer: 2304*y - 13962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 44120244?\nAnswer: 44120250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 74 + 15462c9?\nAnswer: 154635d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1143856 and 120.\nAnswer: 17157840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 0, 7 in descending order.\nAnswer: 7, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/18*363\/(-242)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-12)\/(1 + -7))\/((-1)\/(-2)). Suppose 5*d = 9 + 6. Suppose -3*m = -2*o + 119, o - d*m - 67 = -a*m. What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84522620 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 84.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/14)\/((-22)\/(-77)). Suppose -3 - 5 = -v*j. Is (2\/j)\/(2\/1068 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17686, -70812, -159354, -283312, -442686?\nAnswer: -637476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 543517?\nAnswer: 13, 41809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(700)*-2 - -5*-1*sqrt(700) - ((sqrt(700) + -3)*-1 + 0)**2) + 3.\nAnswer: -706 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + n - 1. Let h(j) = -4*j**2 + 5*j - 3. Let d(i) = h(i) + 2*p(i). What is d(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 50 and 3030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 45710608 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 2 - 1)*(-2*p + 3*p - 3*p) - p - p + 3*p + 3*p - 5*p + p - 5*p + 2*p + p + (0 - 4 - 4)*(p - 4*p + p) - 5*p + 6*p - 2*p as a*p + h and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 5763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*m + 5*q, -4*m + 75 = -m - 3*q. Calculate the remainder when (-969)\/(-12) + 5\/m is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(143)*1 + sqrt(143)) + sqrt(143) + (sqrt(143) + sqrt(143)*2)*5 + sqrt(143))\/((3*sqrt(11)*-2 + 1*sqrt(1331))*2).\nAnswer: 7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 33\/198*(-195)\/1430\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 + 14*m**2 - 16*m - 25. What is i(-15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/(-6)*-42*28\/(-392)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) 3  (b) -3.53  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18394 - -18394.4. What is the smallest value in -2\/27, -3, -0.3, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the third derivative of -b**6\/24 + 23*b**5\/6 - 1015*b**4\/8 + 1470*b**3 + 512*b**2. Factor i(n).\nAnswer: -5*(n - 21)**2*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 121928?\nAnswer: 2, 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.0695 * 67.813\nAnswer: 4.7130035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -8630.26727 rounded to the nearest integer?\nAnswer: -8630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11123323 (base 8) in base 16?\nAnswer: 24a6d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 - 2*w**2 - 4*w + 12. Let m be x(-6). What is the units digit of ((-843)\/(-15) + 3)\/(24\/m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 c when four letters picked without replacement from {c: 12, f: 1}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -46 + -35 + 142 - 129\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13624471.\nAnswer: 7, 1063, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 4 + 14 = 0. Let q(k) = 4*k + 1. Let g(z) = -7*z - 1. Let u(m) = 3*g(m) + 5*q(m). Determine u(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.274044 to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 709.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**3 - 7*n**2 + 90*n - 857. Give v(8).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 9. What is the smallest value in 1\/6, f, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.05?  (a) -2  (b) 5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 46 in 3, 1, -2\/9, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 60223, 241037, 542383, 964255, 1506647, 2169553, 2952967?\n\"Answer: -r**3 + 60272*r**2 + 5*r - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7114*d - 91 - 76 + 169.\nAnswer: -7114*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -442 + -1461?\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 + 2*r**2 - 5*r - 26. What are the prime factors of a(10)?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1809)\/15)\/(9 - 92\/10). Calculate the greatest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 39*q**2 + q - 1. Let y be x(1). Suppose -3*s = f - 5*f - 136, -124 = -3*s + f. Suppose y = i - s. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eight thirds of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001023626 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - 5155?\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 226*c - 4 - 939*c - 211*c + 258*c.\nAnswer: -666*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -166*z = -169*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1537, -6354, -14383, -25624, -40077, -57742, -78619?\nAnswer: -102708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 2*l + 772 = 0, -3*l = 5*g - 1145 - 143. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 - 7*v. Let s(p) = p + 12. Let t be s(-18). Calculate q(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, e: 2, q: 4}. Give prob of picking 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14723*i**2 - 12301 with respect to i.\nAnswer: -29446*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -232.49 - -233. Let h = j + -0.01. Sort -1, -4, 6, h in increasing order.\nAnswer: -4, -1, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**5 + d**5 - d**5 + (-4 + 2 + 4)*(-d**5 - d**5 + 0*d**5) - d**5 - 6*d**5 + 5*d**5 + 3*d**5 + 3*d**4 - 3*d**4.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-2733)\/(-2))\/((-45)\/(-30)).\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 114\/(-76)*3\/9. Which is the closest to 0?  (a) 11  (b) 0.3  (c) p  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146*p - 339 - 271 = 120 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y + 9. Let z be n(8). Let i be (z - 1)\/(-1) - 9. Put 0.1, i, -2 in decreasing order.\nAnswer: 0.1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 7*s + 62. Let o be w(10). Which is smaller: 131 or o?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7705 divided by 2?\nAnswer: -7705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 322699518 by -747.\nAnswer: -431994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1680 divided by -336?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/10)\/(936\/5460).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42a (base 15) to base 16.\nAnswer: -3ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and (-13 + 7)*10\/(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 0, -12, 4, 5, 20 in descending order.\nAnswer: 20, 5, 4, 0, -12, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q**4 + 53*q - 11*q - 2*q**3 - 19*q + (2*q + 2*q**3 - 2*q)*(-q - 2*q + 5*q) to the form w*q + n*q**3 + z + x*q**2 + u*q**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(3\/8)*f*f**(-34) assuming f is positive.\nAnswer: f**(-261\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3\/2, 4, -20, -7\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -8, -53, -8236, -4 in decreasing order.\nAnswer: -2, -4, -8, -53, -8236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 5  (b) -3.04  (c) 1  (d) 0.4  (e) -8\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 1192640 = -407360. Round v to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 185\/(8140\/2408) - 54?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 145 * -43.\nAnswer: -6235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48606.\nAnswer: 2, 3, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 - 2)*(-3 + 3 + 2)*(-2*w + 4*w - w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 264398000 rounded to the nearest 1000000?\nAnswer: 264000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 753548.\nAnswer: 2, 31, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4331, -4329, -4327, -4325?\n\"Answer: 2*g - 4333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1145167 is divided by 1145164.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 AM and 10:21 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 AM and 4:04 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 6*n - 15. Suppose q - 30 = 2*w, n*q - 8*q - w + 139 = 0. Let d(i) = -i**2 + 6*i + 2. What is the remainder when q is divided by d(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1444, -1445, -1446, -1447, -1448?\nAnswer: -1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-2)\/12)\/(34 + 381360\/(-9990)) and -83\/3336?\nAnswer: 16680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3336871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together -131 and -0.026632.\nAnswer: -131.026632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 74*m + 109. What is the hundreds digit of h(-50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -10*g**2 + 171*g + 9. Let u(z) = -2*z**2 + 38*z + 2. Let a(b) = 2*m(b) - 9*u(b). Let w(k) = 471*k + 6. Determine w(a(o)).\nAnswer: -942*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*w + 6 = 195*m - 201*m, -2*m = -2*m - w + 2 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 4 = r. Differentiate -1 - 2 - 6 - r - 11*t with respect to t.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -6  (c) -2  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 1:44 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3657314 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 2 i when four letters picked without replacement from ijpzjpiy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 1 = -2*w. Let c be (1 + 2)*(7 - (-52)\/(-12)). Calculate the highest common divisor of w and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (125*(-73)\/(-7300) - (-4)\/(32\/(-18))) + -32?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*i - 541 - 739 = 403. Calculate the remainder when i is divided by 50.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26 + 8. Let u be (-10)\/(-4)*w\/(-5). Let f be (-2)\/5 + 4\/10. Solve v + u + f = -4*h, h = -4*v + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -160 (base 7) to base 10.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -73*g**2 - 5799*g**6 + 5860*g**6 - 20*g**3 + 46*g - 68*g wrt g.\nAnswer: 7320*g**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.3 + 0.2. Let j be -1 - ((4 - 2) + 0). Let h be (5\/3)\/((-1)\/j). Put 0, c, h in ascending order.\nAnswer: c, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 607\/168 - -11\/42. Find the common denominator of d and 91\/5136.\nAnswer: 5136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1346463.\nAnswer: 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -92*l + 120. List the prime factors of c(-7).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 445716571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 9*n + 1. Let o(b) = b + 1. Let w(z) = a(z) - 4*o(z). Let t(f) = -f**3 + 9*f**2 - 15*f - 5. Let r be t(3). What are the prime factors of w(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0\/(-1) - -386) + -60 + -62 + 130. Which is bigger: m or 382?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -41 - -45. Put 0.03, -5, p in descending order.\nAnswer: p, 0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16931 + -16931.024504. What is v rounded to 4 decimal places?\nAnswer: -0.0245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28389 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -6 - 3. Let z be b\/(2 + 14\/(-4)). Let v(m) = 6*m**2 + 11*m**3 - m**2 + z*m**2 + 7. Let r(l) = -6*l**3 - 4*l**2 - 4. What is 7*r(y) + 4*v(y)?\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c + 3*c - c. Let i = 89 + -87. Let j(z) = -14*z**2 - 23*z**i - 15*z**2 + 43*z**2. Give h(j(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122146.\nAnswer: 2, 157, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 - 7*t**2 - 8*t - 2. Let a be s(8). Let g(q) = -2*q - 1. Let j(z) be the first derivative of 2*z**2 + 3*z - 2964. Give a*j(x) - 5*g(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -72*f + 88*f - 176. Suppose -9*z + j - 86 = -f*z, 5*z + 3*j = 215. What is the remainder when z is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 90*(3 - (-21)\/(-9)). Suppose 5*l - s = -5*m, 0 = 2*l - 0*l - m - 18. Solve 0 = 4*z - 2*u + 7*u - 10, 5*u + l = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t - 175009 + 5853 = 41960. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 750.294 - -0.08.\nAnswer: 750.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*g**3*i*j**2 + 3*g**3*j**3 - 5*g**3*k**2 - 2*g**2*i - g*i*j**3 + 2*g*i*j**2*k**2 - 13*i*j**3*k**2 wrt g.\nAnswer: -12*i*j**2 + 18*j**3 - 30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -14601 divided by -811\nAnswer: 14601\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 6, z: 2, f: 3, d: 2, i: 4, y: 1}. Give prob of sequence dzd.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5.02927 - -0.02927. Let z be 0\/(1 + 0 + 0). Which is the biggest value?  (a) q  (b) 2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 3*p - 5. Let o = 8 - p. Let q = 22 + o. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1675 is divided by 332?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 28 = 5*u + 4*x, 2*x = 3*u - 14. Let a be -2*(-8)\/(-288)*3. Put a, u, 3 in decreasing order.\nAnswer: u, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 15247774 + -1?\nAnswer: 15247773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14317 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2563 and -0.3.\nAnswer: 2562.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (1*sqrt(2))**2)*-3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -94 - -186. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -2  (b) -14  (c) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 220580572?\nAnswer: 2, 719, 76697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 16491 + 1524*q**2 + 617*q**2 - 16488. Let w(i) = -i. What is w(j(f))?\nAnswer: -2141*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1124745355?\nAnswer: 5, 224949071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 5*f + 1. Let g be y(1). Suppose 0 = -4*d + 2*d - g. Calculate the remainder when 29 is divided by (1\/(-3))\/(d\/54).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 - 27 - i + 0*i.\nAnswer: -i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/563  (b) 0.4  (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11\/((-220)\/(-1608)) - 1. Let s = -79 + j. Is 0.4 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -0.03, 18, 1, 7\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s**3 - 65926*s**2 - 20 + 65926*s**2 + (-6 + 4 + 4)*(s**3 + s**2 - s**2) - 2*s + s**3 + 2*s to g + z*s**3 + r*s + j*s**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -283*y + 292*y = 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1602802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27020 and 216353.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -i + 4*d, -6705*i - 10 = -6708*i - d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 264?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -45*m + 1314. Determine i(30).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 19 = -17. Suppose 6 + j = -3*t. Let s be 0 - t - (3 - 5). Calculate the greatest common divisor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (a - 3*a + a)*(6*a + 0*a - 4*a) + 10*a - a**2 - 10*a + (-1 - 4 - 6)*(0*a**2 - 5*a**2 + 3*a**2) in the form c*a**2 + y + f*a and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7.8 - -7.9. What is the closest to -2\/5 in -1\/6, z, 1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(1275) + -2*sqrt(1275)*1 + (sqrt(1275) - 5*(sqrt(1275)*-1 + sqrt(1275)))))\/(sqrt(192)\/sqrt(4)*-3 + -4*2*sqrt(75)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -n - 5 - 0, -3*n - 15 = g. Suppose 4*h - 2 - 2 = g. What is the remainder when h is divided by ((-1)\/2)\/((-2)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 - 3*d**2 + 17*d + 40. What is y(-3)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 388619?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2450 = 5*j - 14520. List the prime factors of j.\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjy when three letters picked without replacement from {y: 4, j: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (30613\/99)\/23 + (2 - 15)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2297683793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 - b - 1. Let h be v(2). Differentiate -3*u - u + 3*u**4 + 4*u + h wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 3*s**2 + 39884. Let p(d) = -11*d**2. What is x(p(g))?\nAnswer: 363*g**4 + 39884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4197077 - -0.2?\nAnswer: 4197077.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18745 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -42 + 52. What is the lowest common multiple of 9 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.01794439 rounded to 2 dps?\nAnswer: 8.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5673.\nAnswer: 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -3*s**2 - s - 2. Let p(w) = 7*w**2 + 2*w + 4. Calculate -13*m(v) - 6*p(v).\nAnswer: -3*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7514 and -608.\nAnswer: -4568512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 PM and 5:51 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4 - 1)*16\/6. Suppose 0*w = -2*w + n. What is the third derivative of 2*r**w + 3*r**2 - 4*r**2 - 2*r**2 - 4*r**4 wrt r?\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 665558 is divided by 188?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28)*3*-4)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - s = -5, -4*b = -2*b - 5*s - 19. Suppose 5*h - 3*q = 2*q - 65, -2*q = b*h + 18. Let o = 18 + h. Solve -4*w + 19 - o = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from excdxeczccsx. Give prob of picking 1 s, 1 z, 1 x, and 1 e.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 851545.\nAnswer: 5, 73, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-304)\/114570*3099 - (1 + 51\/(-45)) - -8.\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 114*a**6 - 4*a**4 - 2332*a**3 - 92781221*a**2.\nAnswer: 13680*a**3 - 96*a - 13992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1023404 - 114?\nAnswer: 1023240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.141 + -6.141. Which is bigger: -11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34 (base 6) to base 3\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of -3*y**4\/8 - y**2. Let d(s) = s - 1. Let r(w) = -w**2 + 2*w - 2. Let i(h) = 2*d(h) - r(h). Determine i(q(o)).\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1 + sqrt(539))*4.\nAnswer: -24 + 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - -13. Let c be 5\/((-15)\/f) + 5. Sort c, -1, 2 in ascending order.\nAnswer: -1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(405) + -1) + -3)**2.\nAnswer: -972*sqrt(5) + 14661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32810?\nAnswer: 2, 5, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*r**3 + 0)*(-4*r + 3*r - r) + 9*r**3 + 22*r**4 - 9*r**3 + r**3 - r**4 - r**3 - r**4 - 3*r + 0*r**4 + r.\nAnswer: 16*r**4 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -172 + 689\/4. Solve v + 1 + w*v**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 27.47?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.507648 and -0.05.\nAnswer: -0.557648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 41.72 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 927 - 798. Suppose -16137 = -138*m + h*m. List the prime factors of m.\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 11 + -1 + -37 + 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(300) + -3))**2 + -3.\nAnswer: -1500*sqrt(3) + 7722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + l = -4 - 7, 3*t - 73 = -5*l. Let i(p) = 12*p - 40. What are the prime factors of i(t)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8 - -16 - (0 + 6). Suppose -5*w = 5*l + 80, 0 = 2*w - w - 4*l + 1. Let i = k + w. What is the remainder when 24 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 7*f = -16, -2*d + 531921*f - 531915*f + 18 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-372)\/9)\/(((-1334)\/261)\/23*9)?\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52069.9 weeks to nanoseconds.\nAnswer: 31491875520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 472.769g?\nAnswer: 472769000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 544?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z - 4. Let v be n(-2). Suppose -10 = f + 3*f + x, v = -f + x. Do f and -4\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -8*x**2 + 54*x + 69. Determine h(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 2*d - 16 = 0. What is the smallest common multiple of 6 and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 3)*(-7*b**3 - 15*b**3 + 0*b**3)*(b + 3*b + 4*b).\nAnswer: 176*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/6)\/(-4*(-13)\/(-624))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3885 divided by 2961\nAnswer: 185\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 = 17*v + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*(2 - (-45)\/(-10)). Let c(f) = 4*f - b*f - 1 + 2*f**2 + 2*f. What is the units digit of c(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/11)*w)\/w)\/w*(w\/(w\/(((w\/(w*w**(3\/17)))\/w)\/w)*w))\/w*w assuming w is positive.\nAnswer: w**(-815\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add -2255.7019 and -575.36.\nAnswer: -2831.0619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 3*o - 7. Let r be t(-5). Let j(l) = -2*l**2 + 3 - r. Let q(b) = -3*b**2 - 6. Let d(x) = 2*x**2 + 5. Let s(m) = -6*d(m) - 5*q(m). Give s(j(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 2*c + 0 - 8 = 0, 5*c - 26 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 + 219. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g**2 - 3*g + 3. Suppose 0 = -i - 2 - 2. Let f be (i\/6)\/((-4)\/(-18)) + 1. Let x(b) = -b**2 - b + 1. Let l(d) = f*z(d) + 6*x(d). Factor l(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2*q - 368 = -5*q, 0 = 2*c - 2*q - 752. What is the highest common divisor of 22 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 195738 is divided by 65223.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/6 - (-2 + (-84)\/8). Factor 18 - 2 + f*v - 5*v**2 + 13*v**2 - 6*v**2.\nAnswer: 2*(v + 2)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38403, -76800, -115193, -153582?\nAnswer: -191967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*y**3 - y**3 - 11*y**3 + 3*y**3 - 2*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1660292, -3320623, -4980954, -6641285?\n\"Answer: -1660331*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -71 + 192. Let x be ((-3)\/(-9))\/((-23)\/(-5658)). Let i = c + x. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8724098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 + 15*t**2 - 11*t + 42. Give v(13).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -24*m - 5 + 6 + 0. Let i(f) = f + 2. Let t be i(-3). Is x(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 48306*z**6 + 262*z**5 + 323973757*z**2?\nAnswer: 5796720*z**3 + 15720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 5*i = -i - 2, -d + 5*i = 4. Let a(o) = o**2 - o - 1. Let j(u) = -4*u**2 + 2*u + 6. Let g(q) = 5*a(q) + j(q). Determine g(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -38 + 24 + 2*u - 4*u**2 + 16. Let h(y) = 3*y**2 - 2*y - 1. Give 3*h(k) + 2*j(k).\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1860, -2817, -3774?\nAnswer: -4731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3023965568?\nAnswer: 2, 13, 163, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + 22. Let x = s - 29. Suppose 3*n = -2 - 1. Put n, x, 3 in decreasing order.\nAnswer: x, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166728226.\nAnswer: 2, 7, 11909159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 + 43*n**2 + 92*n - 87. Let t be h(45). Suppose k = -0*k + 2. Solve k*b + t = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 74866.7 litres?\nAnswer: 74866700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 10\/59  (b) -0.3  (c) 0.2  (d) -0.1  (e) -0.5  (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/14 and ((-417)\/(-54))\/(299\/(-39)).\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 284605\/16 + -17794. Let f = 148 + -245. Find the common denominator of f\/(-18) - 1\/3 and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*i**3*p**3 + i**3*p + 918*i**3 - 5*p**3 wrt p?\nAnswer: 12*i**3*p**2 + i**3 - 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-3) + (0 - -10 - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -64, -156, -294, -484?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 520 + -37095750946.\nAnswer: -37095750426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 203965 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -10 - ((-9 - (-8 - 4)) + 8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141775664?\nAnswer: 2, 29, 305551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of 7*r**5\/12 + 25*r**4\/2 + 320*r**3\/3 - 2*r**2 - 1970. Let n(d) = 0. What is d?\nAnswer: -32\/7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*f + 16*f - 8*q = -80, 8*q - 3*q - 380 = -2*f - 33*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3117*n + 1528*n = -1527*n + 2232 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 137 divide 81378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1005360394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1175 in -0.002, -0.06, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-68)\/(-12) - (2 + 1))*(5343\/(-442) + 12).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence auus when four letters picked without replacement from ooasaouuosoouau.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(3 - -12 - 0). Let w = r + 5. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 184*y - 390. Let f be b(5). Is f < 529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 73608 and 27?\nAnswer: 662472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + 3*b = 3*r - 8, b - 2 = 4*r. Suppose b*q + q = 72. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 12*w**2 - 30*w - 217. What are the prime factors of l(-13)?\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -349  (b) -964  (c) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 3:50 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 253 and 0.03.\nAnswer: 7.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.6 - 0. Let g = -0.1 - c. Let f = 2\/61 + -258\/427. Sort f, 0, g.\nAnswer: f, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2022 by 1011.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 157\/2 - (-1)\/(-2). Suppose -118 = -7*o + m. Find the common denominator of o and -67\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 - 94. Let n = 115 + t. Suppose 0 = -0*c + 4*c + 4*i - 12, 0 = -4*c + 5*i + n. Solve -13 = 5*q + v, -q + 1 = c*v - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -6*w. Let p(g) = g**3 - 7*g**2 + 6*g + 13. Let n be p(6). Let a = n - 14. Is 6 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 62 + -62. Let g = m - 0.1. What is the closest to 4 in 5, g, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of -o**6\/50 + 3*o**5\/50 + o**4\/20 - o**3\/5 + 63*o. What is p in u(p) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 144860.\nAnswer: 2, 5, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 344943122.\nAnswer: 2, 113, 1526297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -272*((-2)\/(-8))\/((-1)\/(-3)). Suppose 2*x - 84 = -0*x. What are the prime factors of x\/12*k\/(-21)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 147*h**3 + 150. Let a(i) = 49*i**3 + 50. Let g(j) = 17*a(j) - 6*l(j). Find the first derivative of g(o) wrt o.\nAnswer: -147*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/26227, -5, 1 in decreasing order.\nAnswer: 1, -3\/26227, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-11781605)\/(-80) + (-124)\/(-64) + (0 - 2). What is k rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x**3 - 3*x**2 + 3*x**2)*(-6 + 6 - 2*x).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -470677.9896+0.006\nAnswer: -470677.9836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-3\/2)*r)\/r*r*r**(3\/7))\/(r**(1\/2))**(-1\/2))\/(r**2\/r*r**(-7))**25 assuming r is positive.\nAnswer: r**(4205\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 - 11*r + 28. Let d be b(7). Let n(u) be the second derivative of -u**3\/6 + 9*u**2 - 7*u. What is n(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 6 = -4*w, -5*x - 8 + 1 = w. Sort -5, w, 22 in descending order.\nAnswer: 22, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 150*f - 94*f - 56*f + 328*f**2.\nAnswer: 328*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45 - -45. Let u be l\/(3\/(3\/(-4))). Suppose -5*f + 0*z + 113 = -z, u = -4*f - 3*z + 79. Solve 0 = 4*o - y + f, 4*o - 2*y = -o - 29 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**0*i**(2\/9))**35*(i**(-1)*i)**(-16\/7)*((i**5*i)\/i)\/i**(-1) assuming i is positive.\nAnswer: i**(124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1569, 12550, 42337, 100332, 195937, 338554?\nAnswer: 537585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from ztteezeeeeee.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 255295939 to the nearest integer?\nAnswer: 15978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 531 divided by 4?\nAnswer: 531\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -16, -11, -6, -1?\n\"Answer: 5*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - ((14 - 62 - -27) + (-92 - 2))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 2698*x**4\/9 + 2053172*x**3\/9 + 6136082*x**2\/9 + 4076512*x\/9 - 3032\/3 = 0. What is x?\nAnswer: -758, -2, -1, 3\/1349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-14)\/4 - (-12)\/(-24) - 0. Which is the fourth smallest value?  (a) f  (b) -2  (c) -2\/13  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -426, 34 in descending order.\nAnswer: 34, -0.3, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 132 + 2033123000?\nAnswer: 2033123132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 14*v**2 + 9*v + 15. Give u(3).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 0.4, 12, 1, -21 in descending order.\nAnswer: 12, 1, 0.4, -0.2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 593 = 3*m + 2*q, -4*m + 3*q + 906 = 87. Put -3, -1, m in decreasing order.\nAnswer: m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 2 - 6. Suppose -5*j = -37 + c. Solve -3*g = -8 - j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r + r + 0*r + (0 - 1 + 3)*(-3 + 9*r + 3) + 0*r + 5*r - r in the form b + s*r and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 167 and 16032.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r + 10. Let g be c(-7). Solve -13*u**2 - 9*u**2 + 20*u**2 - 22 - g*u = 0 for u.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-6)\/b**(4\/11))**20 assuming b is positive.\nAnswer: b**(-1400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 + 7*m**2 + 3*m - 5. Let o be l(-6). Suppose -6*r + 173 = 17. What is the greatest common divisor of r and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*c = 14*c + 366. Solve 0 = 6*u + 49 - c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from {e: 5, f: 2, l: 2, h: 5, z: 1, t: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 411, 963, 1513, 2061, 2607?\nAnswer: 3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36 and 1114569.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -51*c**3 - 24*c**3 + 2 + 2*c - 24*c**3 + 83*c**3 to the form l*c**2 + h*c + o*c**3 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhtthtnhtthttnhhth.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -448.06273 to 1 decimal place.\nAnswer: -448.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2671.\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 285 = 65. Let q = -221\/4 - z. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w = -7*w - 183. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(133)\/sqrt(7) + 1 + (1 + -1 + sqrt(19) - sqrt(19)).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + -6 - (13 + -16 - 20)) + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + k**2 - 24*k - 21*k.\nAnswer: k**2 - 45*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9342 or 102746\/11?\nAnswer: 102746\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -404\/65, -54.5, 3\/8 in ascending order.\nAnswer: -54.5, -404\/65, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1784\/2079 + 31\/27. What is the common denominator of 163\/42 and j?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -259 + 0?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 999719 + -550266. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7582327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*i - 2*j - 4, 2*i = 2*j + 10. Suppose -2*q - 10 = 0, -i - 4 = 2*d - q. What is the nearest to 1\/4 in 2\/7, -1, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.1286 and -3.\nAnswer: -3.1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.1 and -41.\nAnswer: -39.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hghzzhznhzhz. What is prob of picking 1 h and 1 n?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/5*y**2 - 12\/5 + 9\/5*y.\nAnswer: 3*(y - 1)*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 298 a factor of 537564882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 39 - -52. Suppose -56*j = -49*j + k. Let a(w) = w**3 + 12*w**2 - 30*w - 15. What are the prime factors of a(j)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102) - (sqrt(102) - (sqrt(102) - sqrt(102)*-1))*3)\/(sqrt(42)\/(sqrt(14)\/sqrt(2))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -183, -705, -1575, -2793, -4359, -6273?\nAnswer: -8535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/(-1)*(-9)\/(-12)*(-3216)\/2412?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1592593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of 181*i**4\/12 - i**3\/3 - 161*i**2\/2 + 245*i. What is the second derivative of a(t) wrt t?\nAnswer: 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24342, -48690, -73038, -97386?\nAnswer: -121734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2*r - 47. Let t be y(-22). Let q(p) = 2*p**2 + 5*p + 1. Let x(g) = -g**2 - 3*g. Let n = -9 - -4. Give n*x(l) + t*q(l).\nAnswer: -l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of c**3\/3 - 84. Let i(h) = -3*h - h + 0*h. Calculate i(w(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -1\/35  (c) 0.2  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -4*s**2 + 2. Let x(l) = 1 + 1 - 2*l**2 - 1. Let g(o) = o - 11. Let u be g(16). Suppose u*b = 22 + 8. Give b*v(j) - 11*x(j).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add -85163 and 63.13.\nAnswer: -85099.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -107, -1071, -3691, -8795, -17211, -29767, -47291?\nAnswer: -70611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/6 and -127\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (-17 + -37 + 27) - 98?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 PM and 2:46 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - (-2)\/(-8)) + 18\/8. Let m = 59\/4 - 421\/28. Sort m, 0.4, s in descending order.\nAnswer: s, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 4. Let g be 2\/((-1)\/(58\/(-4))). Calculate the lowest common multiple of (-4)\/(-12)*(g + u) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + (-18 - -11) - 12) + -10.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 + 6*m**2 - 6*m + 6. Let s(u) = -5*u**2 + 5*u - 5. Let o = 469 - 174. Let g = o + -290. Calculate g*c(a) + 6*s(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of -3*w**3 + 11*w**2\/2 - 2*w + 570. Let c(p) = -6*p + 4. What is 8*c(i) - 3*r(i)?\nAnswer: 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -63 (base 15) to base 12.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-115)\/(-69)*36\/(-10)*-2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (148\/4)\/(441\/(-441)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/9  (b) 1\/4  (c) 0.1  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 58 and -35.6?\nAnswer: 93.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 19717918261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1309712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10966 + -10203. What is the remainder when 2303 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.63 + 0.6. Let d = o - 0.27. Let q = -1.1 + 0.6. Which is the second smallest value?  (a) q  (b) 1\/9  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 131 and 135 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -28*j - 224. What is p(-10)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 39 - 346. Calculate the remainder when d is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 70 from -0.5.\nAnswer: -70.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-140)\/(-42))\/(-10)*(-3)\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 6*t - 1746 = 0. Let f be 15*7\/(126\/2868). Let b = t + f. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55662 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -1 + 2*sqrt(2448))**2 - (-4 + sqrt(272) + -2 + sqrt(2057)).\nAnswer: -63*sqrt(17) + 9799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7564 - 968?\nAnswer: 6596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2.3993 and -209000731.\nAnswer: -209000733.3993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, b: 7, o: 1, j: 2}. What is prob of picking 1 j and 1 a?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - (2 - 3) - 1. Suppose g*q + 152 = -3*b, 5*b - 3*q + 111 = -174. Let r = 137 + b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 41 - -29932?\nAnswer: 29973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06337 - 493079.\nAnswer: -493079.06337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 509, -1, 0 in ascending order.\nAnswer: -1, 0, 8, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 18 and 15.4?\nAnswer: 277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 - -24. Factor 16*w - 28*w**4 + 37*w**2 + q*w**2 - 24*w**2 + 20*w**3.\nAnswer: -4*w*(w - 2)*(w + 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - v + 3*v)*(-v - 2*v + 0*v) - 249 + 105 + 119 + 3*v**2.\nAnswer: -3*v**2 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -16*s**3 - 2*s**2 - 3*s - 8. Let r be x(-6). Let j = r - 1177. Suppose -28*f + 25*f = -j. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n, 1 s, and 1 j when four letters picked without replacement from {s: 8, y: 1, j: 6, n: 3}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3038 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 - 40*v**2 - 60*v - 5096. Give b(44).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 4 + 3)*(-4*c**2 + 5*c**2 - 3*c**2 + (c - 3*c - 5*c)*(-33*c - 38 + 38)) to u*c**2 + x + t*c and give u.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -3 - (23 - ((-24 - -129) + 10))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + (-432)\/(-44) - 2\/(-11). Suppose 0 = -9*w + d*w + 9. Let v(l) = l**3 + 5*l**2 + 4*l + 2. What is v(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4735757 days to seconds.\nAnswer: 40916.94048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 121\/36 - ((-949)\/(-292) + (2 - 5))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.96 - -0.06. Let l = k + 1.9. Let d = l + -1.3. Which is the nearest to 1?  (a) 2\/3  (b) 3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 21*o**3 - 82*o**2 - 163*o. Give n(-2).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 6132?\nAnswer: 12264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Total of -61.19 and -0.849.\nAnswer: -62.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*m**3 + 41*m**2 - 137*m**2 - 94*m**2 - 34*m**2.\nAnswer: -30*m**3 - 224*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 7 = -5*v, -4*v - 2 = -2*v - 4*i. Solve 2*k = 0, f - k = 2*k - v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -309*l - 524*l - 1671*l.\nAnswer: -2504*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -7, -5, -2, 1\/4.\nAnswer: -7, -5, -2, -0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4\/775 + -1522\/5425. Which is the nearest to 2\/15?  (a) v  (b) -0.5  (c) 3\/4  (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124034 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1190 from -3110.8.\nAnswer: -4300.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 786 divided by 6?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2 = g, 5*a = -14*g + 10*g - 6. What is the second smallest value in g, -1\/4, 0.061?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -30, -2, -96, 9 in increasing order.\nAnswer: -96, -30, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h + 335 = 377 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 - 4*h + 13. Let u(f) = 2*f - 7. Calculate 6*b(a) + 11*u(a).\nAnswer: 6*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-765)\/(-170)*(29\/12)\/((408\/(-128))\/(-17)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1193 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 209*d + 420. Let w be n(-2). Solve -2*m = w, 28*b + 2*m = 23*b - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 5*v - o - 196159769, 0 = 4*v + 4*o - 156927796. Suppose 5*c + v - 231953 = 0. Round c to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36908374409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 12604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-10))\/((-7)\/(-7)). Suppose -k = -2*u - 12 - 0, -45 = -4*k + 5*u. Let x be (38\/(-30) - -1)\/(4\/k). What is the smallest value in -2, r, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27 times -10885\nAnswer: -293895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 5 - 4)*(11*y**4 + y**4 + 2*y**4) + 3*y**4 - 5*y**4 + 0*y**4 as b*y**2 + k*y**3 + f*y**4 + l + u*y and give f.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2*d**2 - 2*d - 2. Let c be m(2). Let n = 0 + c. What is the third derivative of 2*h**2 + 4*h**4 - 3*h**n + 0*h**2 + 5*h**2 wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p**3 + 13860748*p**2 + 13860746*p = 0 for p.\nAnswer: -6930373, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - o + 454 = 2094, 2*j - 838 = -4*o. Suppose 81 = -10*r + j. What is the highest common divisor of 198 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-12)\/3*91\/(-280) and ((-1443)\/(-819))\/(-1 - 2\/(-3)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/23?  (a) 5\/3  (b) 6  (c) 0.1  (d) 3  (e) -1\/10  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 2\/7, -2\/15, 12, 2\/37?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2177*i**2 + 2507*i**2 + 10 + 2319*i**2 - 6224*i**2 in the form t + y*i**2 + s*i and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -7253, -7233, -7225, -7229?\n\"Answer: -6*i**2 + 38*i - 7285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-288 - 65 + 96)*(-65*l + 67*l - 45 + 17) to d + o*l and give d.\nAnswer: 7196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 5)*(-2*t**5 + 2*t**2 - 4*t**3 + 6*t**3 + t**2).\nAnswer: -2*t**5 + 2*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.4, 1\/5, 0.01, -5477, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -162446*j**6 - j**4 + 3*j**3 - 58*j**2 - 239*j - 3200?\nAnswer: -19493520*j**3 - 24*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -3, 1\/2, 5\/18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + 16*q + 28. Suppose -p - 2*t + 24 = 0, 0 = -2*p + 10*t - 5*t + 3. Suppose c + 7 + 1 = o, o = -c + p. Is g(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g + 2. Let v(k) = -8*k + 12. Let t(c) = 4*c - 6. Let w(x) = -13*t(x) - 6*v(x). What is -7*n(q) + 2*w(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8650361?\nAnswer: 8650361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3 + 552*w**2 - 558*w - 1108.\nAnswer: 2*(w - 2)*(w + 1)*(w + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 6:56 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1298 + -16898\/13. Let o = -491\/104 - p. Let u = 512\/33 + -11527\/660. Find the common denominator of u and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q + 2. Let i be z(5). Put i, 0, 3 in ascending order.\nAnswer: i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 4) + -21*(-2)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 510 divided by -5055.\nAnswer: -34\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)*-1 - sqrt(33))\/sqrt(11) + (sqrt(36)\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: -2*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 490a79 (base 14) to base 8.\nAnswer: 11421043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -1) + (-11 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 PM and 10:27 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k - 4. Suppose 0 = 2*r + 2*i + 12, -2*r = -5*r + 5*i - 18. Let a be b(r). Suppose -2*x + 2 + a = 0. Is 4\/7 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -8*w**3 + 2. Let o(h) = -16*h**3 + 4. Let v be (-33)\/44 - (-9)\/4*-1. Calculate v*o(k) + 5*d(k).\nAnswer: 8*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = i - 4*n + 2, 4*i - 3*n + 4 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -9. What is the third derivative of -q**4 + 0*q**4 + n*q**2 + 0*q**4 wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 3*g - 29092 = v, -3*g + 2*v = -21814. Suppose -11*r + 3363 = -g. Suppose -4*x = -j - 355 - 412, 5*x - r = 4*j. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*c - 1078 + 4786. Let p be 16\/6*8961\/c. Solve 3*v = 70 - p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 4*u = -5*t + 120, -5*u = 2*t - 48. What is the highest common factor of 108 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3853\/(-2640) - -6*(-22)\/(-110) and 7\/660?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 275041 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37 and 26973.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 3*j - 6 = 0, -3*j + 7*j = g + 27. Let o = 3 - g. Differentiate o*m**3 - 5*m**3 + 0 - 4 + 1 wrt m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3053 - 0.1?\nAnswer: 3052.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 + 14*o + 1. Let u be x(11). Let m = 340 - 170. What is the greatest common factor of u and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25.675 - -26. What is c rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9083 + 9089. Let j(u) = 2091*u - 221. Let w(h) = -19*h + 2. Give z*j(o) + 663*w(o).\nAnswer: -51*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 317 a factor of 5253294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4381064 a multiple of 838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -661 divided by -661.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 97287?\nAnswer: 97287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + 10*c**2 + 11*c - 21. Let l be h(-8). Let j(r) = -l*r - 16*r - 3 + 42*r + 11 - 9*r. What is j(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/9*(-54)\/(-504)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 11 + 2 + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/9452 and 59\/2780.\nAnswer: 47260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 95*l**2 + 97*l**2 - 187*l**2. Let h(v) be the first derivative of -v**2 - 1. Give h(a(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - x + 0*x)*(15598*x + 3175*x + 17723*x).\nAnswer: -72992*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 2*d - 22020, 11*p - 13228 = 8*p + 2*d. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + n - 1. Let a(u) = -7*u**2 - 5*u - 11. Let j(k) = a(k) + q(k). Suppose 3*m = t + 23, 8 - 32 = -4*m + 3*t. What is the tens digit of j(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-28 + 14 + -11 - -9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**2 + 4*w. Suppose -3*x = -6*x. Suppose 3*k + 12 = x, -3*z - k - 1 = 9. Let u be ((-1 - -2)*6)\/z. Calculate d(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197143?\nAnswer: 137, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5710?\nAnswer: 2, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3237337*-0.3\nAnswer: -971201.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2098559 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -20, c + 13 = -69*l + 66*l - 15 - 4 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -604150, -604149, -604148, -604147?\nAnswer: -604146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6531196 and 699771?\nAnswer: 19593588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1389556, 1389521, 1389436, 1389277, 1389020, 1388641?\nAnswer: 1388116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1287068 is divided by 1968.\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 AM and 11:18 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 920 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 - -15. Let s(t) = t**2 - 13*t - 3822. Let r be s(-57). Calculate the greatest common factor of w and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7\/(-1*(-1)\/(-4)). Let w = 111 + -173. Let r = t - w. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 258389 is divided by 13085?\nAnswer: 9774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 76 and 15599.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 327 + 9b?\nAnswer: 3c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of w**3\/3 + 9417. Let k(b) = 255*b**2 + 5. Calculate k(n(z)).\nAnswer: 255*z**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of -1\/6*m**4 - 1\/15*m**5 + 9*m**2 + 0 + 1\/72*m**6 + 0*m - 5\/6*m**3. Let t(i) be the first derivative of w(i). Factor t(s).\nAnswer: (s - 2)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3790?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from sjjpppwjpvjjjpjjjpj?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 + 3*u**2 + 27 - 51 + 68.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18*((-4)\/(-22) - 357\/3234).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m**3 + m**2 + 4*m - 5. Let i be p(-5). Suppose 4*s = -5*l + 380, 5*l = s - 4*s + i. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 PM and 12:44 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - 0) + 74 + 5 + -81.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28 + -26. Let p(z) = z**2 - 10*z + 13. Let u be p(9). Solve 3*i + 4*l - u = 0, -6*i + 3*i + x*l = 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2366 - -1061. Is 54 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25572 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12\/7 + -125\/77. Let h(a) = 6*a**3 + a**2 - a - 1. Let v be h(-1). Let i = -374369 + 374368. What is the closest to i in b, v, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**3 + 148*y**2 - 678*y - 828 = 0. Calculate y.\nAnswer: -1, 6, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.127 - 79.127. Let r = -65 - y. Let w = -15 + r. What is the nearest to 0 in -3\/2, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 574*y**2 - y + 6. Let g be b(-4). Suppose 0*t + t + 2*x = -4594, 2*x = -2*t - g. Let v = t + -17300. What is v rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15\/28 + 1\/4. Let s be -4*2*3\/(-6). Let v(u) = -u**3 + 3*u**2 + 3*u + 3. Let x be v(s). Which is greater: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5761 and 33710903?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 276819809 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26 or -2\/15?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 316 - 86 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 87, -4, 4\/7, -0.6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -860 + 398 - 20*m - 3*m - 9*m + 370 to s + w*m and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-27 - 27 + 65)*(-6 + 3 + 1)*(0*l + l + 3*l)*(1 + 2 - 2) as g*l + m and give g.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7.34 - 4.34. Sort 4\/5, c, -13.\nAnswer: -13, 4\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v**2 - 45*v + 48. Let m be d(1). Let y be 3\/(-12) + (-76)\/16. Let u(k) = 7*k**2 - k + 4. Let p(t) = 8*t**2 - t + 5. Calculate m*u(c) + y*p(c).\nAnswer: 2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 5*i**2 + 2. Let y be (0 - 0)\/(-1 + 3). Suppose 0 = -5*q - 3*o - 25, -4*q - 3*o + 2 - 25 = y. Does 11 divide f(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*s**2 - 4 + 1 + 7*s**2)*(-3 - 1 + 2)*(-2*s + 4*s - 3*s).\nAnswer: -2*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + 8*v + 7. Let n be u(-6). Let d = 318 - 317. Which is the smallest value?  (a) n  (b) d  (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + 3*s - 2*s)*(-4*s**4 - s**4 + 6*s**4 + (2*s + s - 9*s)*(7*s**3 - 7*s**2 + 7*s**2) + 2*s**4 - 4 + 4) + (-2*s**2 + 3*s - 3*s)*(0*s**2 - s**3 + 0*s**2).\nAnswer: -76*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 + 5*j**2 + j - 4. Let p be y(-4). Suppose p = -3*d + 2*m, m = -3*d - m - 4. Sort d, 4, 0.\nAnswer: d, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109 = 3*p - 32. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16799445*x**3\/4 + 97176495*x**2\/4 + 19835420*x - 48329405.\nAnswer: 5*(x - 1)*(1833*x + 6218)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43 + -43.1. Suppose -3*m = -m - 10. Is i at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20340 divided by -226?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*g, 2*x - g - 48 = -3*x. What is the remainder when 14 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2371704 is divided by 91219?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5.1 or -175\/8?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(1900) + 1 + sqrt(1900))*-5.\nAnswer: -100*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 32*c = -31*c, 11*g - 4*g = 10*g + 2*c - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {h: 2, e: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*c + 1 - 24*c - 12*c)*(-c**2 - 3*c**2 + 13*c**2).\nAnswer: -90*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26830*u - 7 + 2 - 45245*u + 5.\nAnswer: -72075*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 2*f**5\/9 + 904*f**4\/9 - 10166*f**3\/9 + 9260*f**2\/9 = 0.\nAnswer: -463, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1739444?\nAnswer: 2, 7, 23, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 254401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 208.4 and -4.\nAnswer: 204.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1058387296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o + 15. Let c be u(19). Let r(y) = 5*y**2 + 6*y - 7. Let f(l) = 14*l**2 + 18*l - 20. Let q(p) = c*f(p) + 11*r(p). Give q(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + b - 17 = -3*n, -4*b + 13 = -n. Suppose 0 = t + 3*t + 4. Let u = 5 + t. Does b = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -76 or -79?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of 1\/2*v**4 - 1\/20*v**5 - 2*v - 2*v**2 + 0 - 5\/6*v**3. Let s = 18 + -13. Determine r(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1161*r + 0*r**2 + 1161*r + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.07 - 0.03. Let z = 22.9 + -26.9. What is the nearest to 1 in o, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2*-3*1\/6. Let q = p + 4. Suppose 11 + 4 = q*i. Let d(r) = r**3 - r**2 - 3*r - 4. Determine d(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 11\/4)*8. Suppose 26*v - 22*v = 120. Let b = v - i. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 1 + 9 = 0. Find z, given that 20*z**g + 2*z - 27*z - z**3 + 10 - 4*z**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -36633225 + 11?\nAnswer: -36633214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**2\/3 - 2692*j - 2717574 = 0. Calculate j.\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(2299) - (-3 + sqrt(2299))*-6)**2.\nAnswer: -2772*sqrt(19) + 112976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22569 + 100408. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 4)*(4*o + 4*o - 5*o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -63, -3.\nAnswer: -63, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 512, 1251, 2482, 4205?\n\"Answer: 246*v**2 + v + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 PM and 12:36 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*2*sqrt(99) + sqrt(99))\/(sqrt(9) - (sqrt(9) - sqrt(9)*-2*1)))**2 - ((4 + (sqrt(11) - (sqrt(1331) + 5 + sqrt(1331))))**2 + 5).\nAnswer: -18537\/4 - 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53375*o**3 - 53383*o**3 - 53407*o**3 + 160118*o**3.\nAnswer: -47*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 20617127021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -694 + 686. Let p = b + 1082. Round p to the nearest ten.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4572, 9137, 13698, 18255, 22808, 27357?\nAnswer: 31902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 7, l: 6}. Give prob of picking 4 l.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 626782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 + 22. Solve 3*x = i*x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.05 + 0.07. Let d = -0.020032 + u. What is d rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**2. Let k(y) = 2*y + 39. Calculate n(k(z)).\nAnswer: 4*z**2 + 156*z + 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5686 in -2\/15, 0.034, 3, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -1451*m + 15193. Let b(d) = 645*d - 7597. Let o(u) = 9*b(u) + 4*g(u). Let i(s) = -2*s**2. Determine o(i(x)).\nAnswer: -2*x**2 - 7601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -7*d + 2*d. Calculate the highest common divisor of d and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 6:25 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8601598 centimeters to nanometers.\nAnswer: 8601598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2*y**2 - 10*y + 3. Let f be l(7). Let m = -22 + f. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*2\/((-6)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 6 = 5*l + 2*d, -2*l - 4*d - 14 = 0. Suppose l*a - 2*v = 1284, 864 = 2*a - v - 3*v. Let i = a - 776. Round i to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/3)\/((-10)\/(-15)). Suppose 0 = 3*g - y - 11. Solve -3*s + g = -8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4452 and 13104.\nAnswer: 694512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (4*4)\/(((-15)\/(-30))\/((-165)\/66))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 182*c**2 + 40*c.\nAnswer: 2*c*(91*c + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80048681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Is 358152899 a multiple of 793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.7 - -350243.45854.\nAnswer: 350247.15854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 10) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5440 and 784.\nAnswer: 266560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 k, and 1 m when four letters picked without replacement from {p: 3, t: 4, m: 1, k: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 659*a - 153 - 1023*a + 146 to s*a + j and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1)\/(w**0*w*w)*(w*(w*w*w\/(w\/(w**4\/w))*w)\/w)\/(w*w**(-2\/7)*w) assuming w is positive.\nAnswer: w**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.12 in 179, 19, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 - 16*u**2 - 68*u + 6. Let h be j(28). Suppose 5*o + 10115 = 3*k, 3*k = 4*o + h + 2601. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -4 + 52. Suppose l = -3*l, -4*i + 5*l = -y. Suppose -3*x + 25 = -5*v, i*x + 5*v = x - 25. Which is greater: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 4 + 6. Let k(v) = v**3 + 4*v**2 + v - 1. Let r be k(-3). Suppose -j - r*u = 2*j, 4*j + 4*u = -8. Sort j, 3, i in increasing order.\nAnswer: j, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from buiiisbii. What is prob of sequence isi?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17468123 divided by -23831.\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16361*g*z - 4*g - 172698*z wrt g.\nAnswer: 16361*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 10:31 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 divided by 831?\nAnswer: 18\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n - 48. Let j be w(18). Let g(m) = j - 3 + 306*m - 304*m. Suppose -5*t + 4 - 19 = 4*o, 4*o = 0. Determine g(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -23, 0, 57, 142, 249, 372, 505?\n\"Answer: -p**3 + 23*p**2 - 39*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + z = -6*z. Let w(s) = -s**3 + 17*s**2 - s + 16. Let a be w(17). Let n = 227 + -236. Sort z, n, a in decreasing order.\nAnswer: z, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from frrfzrfviff. What is prob of picking 2 f and 1 z?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 105340 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(133)*1 + sqrt(133)) + sqrt(133) + (sqrt(133) + 3*-1*sqrt(133) - sqrt(133)))\/((sqrt(847)*3 + sqrt(847))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(4 + sqrt(567))*3)**2.\nAnswer: 16200*sqrt(7) + 131175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 493.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/8*(-1)\/(2\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -21086, -42178, -63270, -84362, -105454, -126546?\n\"Answer: -21092*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -50157304 (base 8) to base 14.\nAnswer: -15861a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 30*i - 14. Suppose 2*c + 21 = -7. Let o(t) = 10*t - 5. Let f(s) = c*o(s) + 5*y(s). Give f(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0010704661 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6428 or 6425?\nAnswer: 6425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 + -22. Let n(r) = -r - 2*r + t*r. Let a(d) = -d. Let s(k) = 6*k. Let p(w) = 3*a(w) + s(w). What is n(p(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 (base 14) in base 3?\nAnswer: 101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/1 - (2 + 0). Suppose l - 42 = -2*c. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/1*((-92)\/12)\/(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*106\/1007*19\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 + -30. Let v = -84.08 + 0.08. Let q = v - -83. What is the biggest value in x, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3ea5 (base 15) to base 7\nAnswer: 54104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12175 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4552 is divided by 273.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i + 0 = 7. Suppose -2*d + i + 15 = 0. Solve -2*y + d = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2013 < 2013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 5*d - 1301 = 0, -108*o = -103*o - 5*d - 3235. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 90 = -6*i. Suppose -5*k = -i, -277 = -2*n - k - 4*k. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-39 + 14 + 20)*(d + 0*d + 4*d + (-2 + 0 + 0)*(-d + 3*d - d)) to the form w*d + s and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 1232*w. Let r(s) be the second derivative of s**4\/12 - 3*s - 550. What is r(z(l))?\nAnswer: 1517824*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, l: 1, z: 1, a: 2}. What is prob of picking 1 t, 1 l, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 153155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1496043517?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 63*p**2 - 189*p. Let i(b) = -b. Let y(m) = h(m) - 189*i(m). Suppose s + 5*n = 1556, -n + 2*n = 1. Let f(j) = 1549*j - 2 - s*j + 2. Determine y(f(l)).\nAnswer: 252*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m. Let q be g(-2). Find the second derivative of -q*p**2 + 0*p**2 + 0*p - 3*p - p**2 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xy when two letters picked without replacement from xyxxyx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(56)*-4)\/(sqrt(72) - sqrt(72)*-2).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-292 + 955 + 2279 + 459)*(p + 0*p + 2*p).\nAnswer: 10203*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 + i**2 - 2*i + 5. Determine m(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 269771.\nAnswer: 101, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2202, -60, 5, -0.3, -7, 0.3.\nAnswer: -60, -7, -0.3, 0.3, 5, 2202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*t**2 - 1437 + 9*t**2 + 1437.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 5*h**2. Let l(c) be the second derivative of -857*c**3\/6 - 7*c + 16. Calculate l(w(v)).\nAnswer: -4285*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 220021310 (base 4) to base 9.\nAnswer: 270542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 20904197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l - 2*l + 417*l**3 - 436*l**3.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1111010 (base 2) to base 5\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 301133509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 248\/7*s**2 + 4\/7*s**3 + 0 + 480\/7*s = 0.\nAnswer: -60, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/(-234)*((-45)\/(-20))\/(6\/4).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2252.0665?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 30\/(-12)*932\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3 - 2.3. Which is the closest to 1?  (a) y  (b) -0.1  (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5.948 + 0.052. Let m = 3 - c. Suppose -4*q + 4 = -4. What is the closest to m in 2\/11, 0.2, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -4*q + 6060. Suppose -2*x + 5*x - q = 0. What is the tens digit of x\/25 - 4\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 2*q + 1 = 0, 5*r + 607 - 584 = 2*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/15, -0.3, -1132, -1\/732 in ascending order.\nAnswer: -1132, -0.3, -1\/732, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 269*c - 749*c + 1531 = 274*c + 31691 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10b7 (base 13) in base 12?\nAnswer: -1437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112695?\nAnswer: 3, 5, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*m - 3*m + 4*m**2 + 5 - 9 - 1 to j*m + y + c*m**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7\/6 in -26, 5, -0.4, 1\/5, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -117199?  (a) 1\/3  (b) -14  (c) 0.1  (d) 1\/2  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -46 + 30. What is the closest to -1 in 5, -3, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 384*o + 68 = 386*o. Let u = 6 + o. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d**3 - 28359*d**2 - 1831218*d - 5238504 = 0 for d.\nAnswer: -9388, -62, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2805816 a multiple of 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 - 8*u + 23. Let k be n(6). Put 0.2, 2, -4, k in decreasing order.\nAnswer: k, 2, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*g**2*h - 2*g**2*i - 3*g*h**2*i - 2*g*i - 909*g - 166*h**2 + i wrt h?\nAnswer: -3*g**2 - 6*g*h*i - 332*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, m: 9, i: 1, u: 7}. Give prob of picking 1 u, 1 i, and 1 v.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152*h - 40*h - 1005 - 1958 - 2989 = 0 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*a + 202 + 254 = 0 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 301 and 56?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (8 - -2) - (-8 + 11) - 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -1380*f + 315. Let a(o) = 81*o - 18. Let l(q) = -35*a(q) - 2*k(q). Let y(c) = 5*c - 1. Determine y(l(m)).\nAnswer: -375*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 3*k**2 - 89*k - 84. Let y be v(44). Let g = y - 1089. What is the remainder when g is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.725418046815 and -37.\nAnswer: -37.725418046815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -939527 * -5\nAnswer: 4697635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6844038522?\nAnswer: 2, 3, 691, 1650757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 51625621 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4138, -7959, -11792, -15643, -19518, -23423, -27364, -31347?\nAnswer: -35378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 14  (b) -1\/8  (c) -0.5  (d) 3  (e) 12  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-11)\/55)\/(4\/(-395)). Let y = m + -391\/20. Factor -3\/5*v**2 + 2\/5*v + 0 + y*v**3.\nAnswer: v*(v - 2)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-42)\/30 - -1)*-15. Suppose 3*i - q*j + j = 95, -2*j = -3*i + 92. Calculate the lowest common multiple of i and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11 by 104126.\nAnswer: -1\/9466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -62*c + 57*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 691 by -1285.\nAnswer: -691\/1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 120836 is divided by 152.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001010000 + 100?\nAnswer: -10001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72176251?\nAnswer: 7, 467, 22079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 10 + 0 + (14 - 22) + -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 3*j - 9 = 0, 0 = -0*r + 3*r + 3*j - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -15.\nAnswer: -15, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 97 + 11. Let r = 40 - h. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9 - -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(1584) - sqrt(1584))*-5)**2 + -3*sqrt(110)\/(sqrt(10) + sqrt(40)\/sqrt(4) + sqrt(10) - sqrt(10)).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 0.12  (c) -0.3  (d) -1  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 7:24 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**2 - 3*m + 2. Suppose 0 = -3*v - f - 10, -4*v + 8 = 5*f + 25. What is j(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 323375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + -7 - (-5 + (4 - 6)). Let w be 2\/(-4) + (-210)\/(-20). Let h(m) = w - 1 - b*m**2 - 9. Let k(f) = -2*f. Give k(h(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06335427 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32 - -24) + (-1 - 4) + 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 141*m**2 + 46*m**3 - 343*m**2 + 0 + 0 + 202*m**2.\nAnswer: 46*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from {o: 3, c: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -274209 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.03 - -80.03. Let q = h - 48. Do 1\/2 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - n = 3, -8*u - 10 = -10*u - 2*n. Let k(w) be the first derivative of -w**4\/4 + 5*w**3\/3 - w**2\/2 - 3*w + 1. Calculate k(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwua when four letters picked without replacement from {y: 1, a: 4, w: 3, u: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 5*i, 0*i = 4*j - i - 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 19 and -0.6.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 + c + 2. Let y be s(2). Let x = 1 - y. What is the third derivative of -q**5 + 5*q + 7*q - x*q**2 - 12*q wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 10, -11, -69 in decreasing order.\nAnswer: 10, 3, -3, -11, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*n - 67 = -567. Calculate the lowest common multiple of n and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/4 - (-3)\/(-18). Let b be 6\/4*(2 + -4). Let q be 1\/b*21\/4. Which is bigger: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18925 and 37775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 180 and 76551390?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 172832963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 11*t**2 + 18*t. Let m be s(-9). Find the first derivative of 79 - 23*a + m*a - 2*a wrt a.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 70\/(-5) + (-24 - (-54)\/3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1047587059 - 210.\nAnswer: -1047587269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 3*c + 23. Let r(x) = 16*x + 115. Let a(z) = 11*j(z) - 2*r(z). What is the tens digit of a(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3*w**2 + 14*w + 5. Let a(g) = g**2 - g - 1. Determine -10*a(c) - 2*r(c).\nAnswer: -4*c**2 - 18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 136126*c**2 - 68247 wrt c?\nAnswer: 272252*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*f - 28*f**3 - 8*f**3 + 26*f**3 + 5*f.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 3*x - 2418, -z - 15*x + 815 = -19*x. What are the prime factors of z?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31984+-530157\nAnswer: -498173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 2, -3, -36\/17, 0.\nAnswer: -3, -36\/17, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*y + 25 = -8*y. Which is the second smallest value?  (a) 2\/3  (b) y  (c) 1  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/45)\/((-4)\/(-18)). Which is the closest to k?  (a) 1  (b) -2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t**2 - 9*t**3 + t + 2*t**4 + 6*t**3 - t**2 + t to the form y*t + p*t**4 + f*t**2 + h*t**3 + r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**6)\/(g\/(g\/(g\/(g*g**(-2\/5)*g)))*g))**(-2\/29) assuming g is positive.\nAnswer: g**(54\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/5, -2\/9, -2, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 98.0064 - 98. Round w to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130*y - 692 = -134*y. Let d = y + -147. Solve 0 = 4*l + 10 - d, -4*l + 19 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 7*c**2 + 4*c + 7. Let r be 2\/((-4)\/6 - -1). Let z be o(r). Let w = -3 - z. Solve -5 - 3 = -w*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*s - 3*r - 69, -2*s + 3*s = 12*r + 179 - 128 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 3*w**3 + 5*w**2 - 2*w. Let k(p) = -10*p**3 - 16*p**2 + 6*p. Give -7*d(o) - 2*k(o).\nAnswer: -o**3 - 3*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11414 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p - 1009505*p**3 + 1009506*p**3 + 2*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zfzjjzfqxxqtxjz. What is prob of picking 1 q and 3 x?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*f**3*j + 884*f**3 + 2*f**2*j + 13*f**2 - 186*f*j + 4*f + 3*j wrt f.\nAnswer: -48*j + 5304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6680679, -13361352, -20042027, -26722704, -33403383, -40084064, -46764747?\nAnswer: -53445432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54952.\nAnswer: 2, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 1.046.\nAnswer: -1.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*z - 64 = 0, -4*s - 16*s - 2*z + 161 = 8*s - 4*z + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.6 + -2. Let a = -40 - -40. Put 1\/2, a, q in decreasing order.\nAnswer: 1\/2, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 106 - 95. Put 4, -11, l in increasing order.\nAnswer: -11, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2)*-4 + -5 - sqrt(162)\/sqrt(9) - (1 + -3 + (-2*sqrt(128) - sqrt(128))))**2.\nAnswer: -102*sqrt(2) + 587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/29?  (a) 6\/25  (b) 3  (c) 0.2  (d) -1\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*p - 5*p + 4*h + 29, p + 5*h = -22 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 + 139*q**2 + 1986*q - 1516. Calculate w(152).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 742.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-79 - 0 - 10) - (-5 - (0 - -3))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1026950*v**3 - 391956*v?\nAnswer: 6161700*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 + g - 1. Let t(l) = 45*l**2 + 60*l - 60. What is -t(j) + 60*w(j)?\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(5 + (-207)\/42). Let a be (-6)\/14 - (-9 + (-226)\/p). Which is smaller: 74 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3187 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 3246195?\nAnswer: 1\/1082065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 5*c = 6, 2*c = -f + c. Find the third derivative of -u**6 - 2*u**6 + 0*u**6 + u**f + 2*u**2 wrt u.\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -l - 1, -4*q + 19 = -2*q + 5*l. Solve -8 = 2*b - 2*z - q, 4*z = -2*b - 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 93 + -13 + -22 - 51.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5.2 - 6.2. Sort 4, 2\/41, a in increasing order.\nAnswer: a, 2\/41, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence unbu when four letters picked without replacement from bbwbbuwbbbwbbnubbbb.\nAnswer: 13\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-18)\/(-8))\/(-3 - (-42)\/16). Let f be i\/(-4)*((-28)\/(-36) - 1). What is the closest to 1 in -0.5, f, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 197815?\nAnswer: 395630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1)\/d)\/(d\/(d*(d\/d**(-4))\/d))*d**0*d*d*(d*d\/d**(1\/4))\/d assuming d is positive.\nAnswer: d**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 7*i - 2019 + 2019. Let w(c) = -c + c - c**2. Determine w(g(f)).\nAnswer: -49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 - 13*i**2 + 9*i - 8. Let j be r(12). Let v = j - -58. Calculate the highest common factor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158*c = -8823 + 6453 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -92*g**3 + 4417*g**4 - 91*g**3 + 11268*g**4 + 183*g**3 - 1975*g**4 + (0*g**3 - 2*g**3 + 0*g**3)*(-3*g - 2*g + 3*g).\nAnswer: 13714*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*f = -2*x + 15*f - 14, 27*f = -2*x + 24*f - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 110 in increasing order.\nAnswer: -4, 5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -10*j**2 - 75. Let f(v) = -5*v**2 - 38. Determine 9*f(s) - 4*z(s).\nAnswer: -5*s**2 - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 1. Let d(r) = -38*r - 2. Let a(g) = 88*g + 3. Let s(c) = 3*a(c) + 7*d(c). Give -3*n(w) - s(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17600 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3174.058 weeks to minutes.\nAnswer: 31994504.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*m, -3*i = 2*m - 32 - 0. Let s(r) = i*r - 3*r**3 - 5 + 6 + 8 + 8. Let j(a) = a**3 - 5*a - 6. Let t be 4\/14 + 30\/(-7). What is t*s(h) - 11*j(h)?\nAnswer: h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9325432277\/1949574 + 22\/88617. Let o = k - 4785. What is the common denominator of -145\/18 and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3650 a factor of 386381700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 6 = 0, -y - 5*i + 7*i + 511 = 0. Suppose -7*v - 53 + y = 0. Does 63 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44290 and 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.105 + 0.075. Let a = -0.1823 + 0.0057. Let w = u + a. Round w to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a. Let c be u(-8). Suppose -2 = -5*k + c. Determine q so that -2\/9*q + 2\/3*q**k + 0 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22083 is divided by 2975?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 + (-2)\/6)\/((-41)\/207993). Calculate the greatest common divisor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15*-7.1.\nAnswer: 106.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 - 7*g - 5. Let z(u) = -4 + u + 1 + 4. Let v(r) = y(r) + 6*z(r). What is the units digit of v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7623 + -5872. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of 9*f**5\/20 - f**4\/2 - f. Let a(p) = -p**3 + p**2. Let w(o) = -o**2 + 78*o - 491. Let l be w(71). Determine l*a(b) + v(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.6 + 0.8. Let r = p - 0.4. Let a = 2\/11 - -5\/33. What is the second smallest value in a, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 9:32 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -15, 89, -2\/3, 14860?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 8*u - 145. Give z(16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52552 is divided by 584?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*y - 605 - 781 = 36*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2105674726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 937 divide 4461994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1485 and 25905?\nAnswer: 233145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8*(-3 - -2) - (-248)\/(-28)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*h - 444 - 3397 = 3119 for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 + -36 + 34 + -32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2249*x - 2357*x + 82705 = 958*x - 23011 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x**2 - 934*x + 54279. What is i(52)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 215, 1073, 2553, 4649, 7355?\n\"Answer: -a**3 + 317*a**2 - 86*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -3*j. Let f = 8 - 0. Let o(v) = -7*v + 32*v - f*v - 16*v - 6. Calculate o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 811549813?\nAnswer: 811549813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1\/2, -0.01, 55, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -36\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 1 = 3, 2*j - 6 = 3*s. Suppose -5*q + 127 = -2*n, j = -q + 5*n + 3 + 4. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 168, 572, 1242, 2178?\nAnswer: 3380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -3*a. Let w be i(0). Solve -10 = -5*g, w*g - 3 = 5*z + g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 12 = -x, x - 2 = -12*w + 13*w. Solve -1 = w*j - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38.71458 meters to nanometers.\nAnswer: 38714580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13a2d (base 15) to base 10.\nAnswer: -63043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -451 - -461. Calculate the remainder when 105 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 4*w + 4 = 0, 0 = -5*v - 91*w + 95*w - 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 674194583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-6)*2790\/(-496))\/((-6)\/(-24)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + m**2 - 4*m - 4. Does 22 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 208 and -450198852590.\nAnswer: -450198852382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.5 + 1.5. Let h = -4 + x. What is the third smallest value in -0.1, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33 - -53. Let t(r) = -2*r**3 - 8*r**2 - 2*r + 4. Let d be t(-1). Suppose 0*w - l - c = 3*w, -4*w + 4*l = d. Sort -3, 0, w in ascending order.\nAnswer: w, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, v: 8, p: 4, j: 4}. Give prob of sequence paa.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 - (-2 - 0))\/1. Let m be -3 + r - (-10)\/5. Suppose 2*l = 4*n + 16, -4*l + 0*l + 2*n = -2. Which is bigger: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 233*n - 12067. Determine f(52).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-4*(-4 + 2*sqrt(300) + -2 + -3)*4)**2.\nAnswer: -92160*sqrt(3) + 327932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.24  (b) -0.09  (c) 2\/7  (d) 0  (e) 2\/29  (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59667577.\nAnswer: 61, 978157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2595087 divided by 2595087.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -2*o + 103, -o = 5*x - 0*o - 99. Let i(w) = 3*w - 24. Let s be i(9). Suppose g - x - 2 = -4*v, 0 = 3*g - s*v - 18. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(3) + -1*(sqrt(3) - (sqrt(3) + 3*sqrt(3))) + -1*sqrt(432))**2*1.\nAnswer: 32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(77) - 2*sqrt(77)) + sqrt(77))*-2)\/(sqrt(132)\/sqrt(108) + -2*sqrt(1100)).\nAnswer: 30*sqrt(7)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002618 rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 8*y + 16 + 8*y - 12*y**2 to z*y**2 + o + c*y and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1967*q - 2005*q = -57 + 209, -q + 10 = 2*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -177 - -185. Find the third derivative of 7*d**2 - 3*d**2 - 101*d**4 - b*d**2 wrt d.\nAnswer: -2424*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6.7, -5, -167 in decreasing order.\nAnswer: 6.7, -5, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s**2. Let a be p(1). Let v(g) = -4*g + 3 + 2*g**3 - 1 - g**2 - g**3. List the prime factors of v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*d**2 - 7*d**2 + 0*d**2)*(d + 3 - 3) - 134*d**3 - 72*d**3 - 108*d**3 + 417*d**3 to the form f*d + r + c*d**3 + s*d**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 286*j**2 - j + 3. Let s be a(-2). Suppose 0 = -b + 625 + s. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g - 1. Let j(c) = -3*c - 2. Let k(b) = -6*b - 4. Let x(t) = -5*j(t) + 2*k(t). Let q(p) = 17*d(p) + 6*x(p). What is the units digit of q(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 785679416 to the nearest integer?\nAnswer: 28030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 57 + -51. Suppose 0 = 2*o - x - 0. Solve -4*b = -o*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/11, 2\/13, -0.002, 4\/7?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -36970, -36942, -36896, -36832, -36750, -36650?\n\"Answer: 9*p**2 + p - 36980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fbbfffbf. Give prob of sequence fb.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11035400 is divided by 1103540.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11809 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 27*c + 79. Calculate the remainder when q(45) is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4563 and 2704?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -118, -738, -1862, -3490, -5622, -8258?\nAnswer: -11398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2 + 187*f**2 - 5*f**4 + 16*f**3 - 6*f**3 + 5*f**3 + 84*f**2.\nAnswer: -5*f**2*(f - 9)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 765 (base 15) to base 2.\nAnswer: 11010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2228 is divided by 474.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2011518*g**3 + 23*g**2 - 169*g + 20. Let u be q(5). Round u to the nearest one million.\nAnswer: -251000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 + 1)\/(2\/(-10)). Let p(o) = 4*o**2 - 11*o. Let x be p(b). Let w = -10 + 19. Calculate the highest common divisor of x and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 6*f = 5*h + 4598, -9 = 3*h. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21504 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -6\/11  (b) -0.2  (c) 715  (d) 4  (e) -1  (f) 2  (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 3 = v, 2*n = 7*n + 10. Solve -3 - v = -3*q - g, 5*g + 8 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65)*-1*-4)\/(sqrt(5) + sqrt(245)*-4) + -1 + 0.\nAnswer: -1 - 4*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1204144 (base 5) in base 3?\nAnswer: 1010202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 498570?\nAnswer: 2, 3, 5, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 705356\/79 or 8928?\nAnswer: 8928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38157 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 3*k**2\/7 + 720*k\/7 - 723\/7 = 0.\nAnswer: -241, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-49)\/490*(-2 + 5)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183 is divided by 66.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -6542*x + 39258. Give b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a - 8. Let p(t) = -28*t - 37. Give -5*o(v) + p(v).\nAnswer: -23*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -297544\/3 + 99181. Let b = -2 + 1. What is the nearest to b in -0.3, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z**2 - 23*z. Let k be a(-10). Let v = k - 22. Suppose 2 - 6 = -2*r. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5959850 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (14*40\/165270)\/((-4)\/(-12)). Which is bigger: k or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/28)*f**11)\/(f**(-17)\/((f\/(f*f\/((f*f*f**18\/f)\/f)))\/f*f)) assuming f is positive.\nAnswer: f**(1261\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(50)\/(-4*sqrt(20)\/sqrt(2)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -16577, -4 in increasing order.\nAnswer: -16577, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -7*k**5\/360 + k**4\/9 - k**3\/9 + 3*k**2 - 35*k. Factor u(p).\nAnswer: -(p - 2)*(7*p - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of -3*v**4\/4 - 17*v**3\/6 + 17*v**2\/2 + 2*v. Let m = -21 - -15. Let l(a) = -2*a**2 - 4*a + 4. What is m*u(i) + 26*l(i)?\nAnswer: 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-18)\/(-6))\/((1\/(-1))\/5). Let g(c) = -c**2 + c. Let t be g(2). What are the prime factors of -6 + (2 - -1) + (t - j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i + 123 = 67 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 6*v + 2. Let d(f) = -f + 1. Let n(g) = 2*d(g) - t(g). Let k(y) = 11*y**2. Give k(n(s)).\nAnswer: 704*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by 520716.\nAnswer: 1\/86786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1152 - 6.8848. What is the biggest value in q, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 + v - 2. Let l be x(0). Let z be 6\/(-7)*(l - 5). Let s be (-40)\/(-25) + 2\/5. Solve 4*b + z = 5*c - 4*c, s*c + 10 = -3*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence phhh when four letters picked without replacement from {h: 4, p: 16}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 0.5  (b) -157  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/36 - 84\/(-99)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 558996075.\nAnswer: 3, 5, 11, 67, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1882221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r + r - 3*r)*(-246 + 21*r**2 - 2*r**3 - 291 + 577) to h*r**2 + k + t*r**4 + z*r**3 + d*r and give d.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/13836 and -99\/66043840.\nAnswer: 198131520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 54 = -6*f. Solve 15 = -f*h + h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 - 380*s + 14792. Calculate v(44).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31926931?\nAnswer: 31, 997, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 52 - 3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 1103*c**2 - 217*c + 429. What is the tens digit of a(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 24*h + 28. Let g(u) = -u - 1. Let q(d) = -44*g(d) - 2*x(d). Let p be q(-8). Solve -3*c = -2*a + 12, -p = -3*a + 4*c + c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 > 5426372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 82 + -79. Let v(t) be the second derivative of -1\/3*t**d + 0 - t - t**2. Differentiate v(a) with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.328 and 123628021?\nAnswer: 123628020.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -4*w + 52, -34 = -2*w + 2652*h - 2650*h - 8 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14128805*v**4 - 1378420*v**3 + 50430*v**2 - 820*v + 5.\nAnswer: 5*(41*v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m - 9. Let a be i(6). Suppose a*k = -k. Suppose 0 = -4*c - k*c + 48. What is the remainder when 35 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -763 + -76?\nAnswer: -1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3684 divided by -1\nAnswer: 3684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + r - 2 = -4*r, 0 = -3*s + r - 4. Let b(z) = z + 2. Let h be b(-5). Let y be h*(s + -2) + -3. Solve -2*p + 7 + 1 = 2*c, -2*p + 5*c = y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5594708562?\nAnswer: 2, 3, 1087, 857821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9120 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3\/2 + -17\/14. What is the third biggest value in -2, 26, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4\/9  (b) -0.9  (c) 2\/15  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/24)\/((-1)\/4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.333  (b) 0.1  (c) 0  (d) -2\/15  (e) 2  (f) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -24*s**3 + s. Calculate u(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most -146020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 - 4*h - 2. Let b be z(-2). Suppose -4*o - 2*v + 20 = v, o = -b*v. Solve -3*i + i = o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-1 + (-4 - -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 2. Let q = 24.4 - 3.4. Let z = q - 21.5. What is the closest to s in 5, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 40 + 11e?\nAnswer: 15e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*i**5\/9 + 87776*i**4\/9 + 6753878*i**3\/9 + 23299624*i**2\/9 + 989768*i - 858400 = 0. What is i?\nAnswer: -8700, -74, -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 6. Let o be ((-4)\/(-6))\/(l\/(-9)). Solve 5*q - 8 = 4*q - 2*v, o*v - 9 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2562182?\nAnswer: 2, 7, 197, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -8*b + 3 + 16417*b**2 - b - 8206*b**2 - 8210*b**2. Give z(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 54 = -9*t. Solve -t = -3*h + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 869232 plus 2.9?\nAnswer: 869234.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55482 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnk when three letters picked without replacement from {e: 1, k: 3, n: 13}.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6 - -1)\/(-3 + 2). Suppose -41 = -2*f - i. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m - 36. Give s(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 8 = -v. Let z(d) = 4*d + 91. Calculate the remainder when z(-9) is divided by ((-64)\/40)\/(v\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9900.698 milliseconds in nanoseconds?\nAnswer: 9900698000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of g**4\/12 - g**3\/2 - g**2 - 17*g. Suppose -k - 1 = 4*p, 2*p - 10 = -3*p - 5*k. Let v be t(p). Solve -v*y + y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 5*y - 4 - 3 = 0, 4*y + 2 = -2*t. Suppose t*j = -j + 104. Suppose 0 = i - 0 - j. Calculate the smallest common multiple of 16 and i.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-46)\/5*-309*80\/96 and 6?\nAnswer: 14214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m - 5 = -o, 0 = -9*m + 6*m - 4*o + 25 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 7*j**3 - j**2 + 3*j - 3. Determine c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*c - 5*c + 53 - 51)*(-3*c + 2*c - 3*c + (1 + 2 - 4)*(-2*c + 2*c + c) - 6*c + 2*c + 3*c + c - 1 + 1 - 2*c + 2*c - c + 2 - 2*c - 2).\nAnswer: -104*c**2 - 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 905414704 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -a - 8. Let g(x) = -x**3 - 7*x**2 - x - 9. Let u(p) = -5*p**3 - 35*p**2 - 5*p - 46. Let w(d) = a*u(d) - 11*g(d). Is w(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.54 - 0.16. Let s = 116.365 - 117.745075. Let b = q + s. What is b rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 120 - 122. Let p(z) = z + 2. Let m(s) = -23*s - 31 + 8*s - 2. Let b(t) = 2*m(t) + 33*p(t). Give b(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26 + -27. Sort w, 5, -1\/3 in decreasing order.\nAnswer: 5, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -56*q**2 - 6*q + 2. Let m(k) = 37*k**2 + 4*k - 1. What is 5*c(t) + 8*m(t)?\nAnswer: 16*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -10664, -21330, -31996, -42662, -53328?\n\"Answer: -10666*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (115\/25)\/(123\/(-615))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 197228248*p**3*y**2 - 86331456*p**2*y**2 wrt p?\nAnswer: 1183369488*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.32 + 0.62. Let y = 0.7 + z. Let l = y - -3. What is the nearest to l in 0.5, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-37 - (-16 - 38)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -44 - -322?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 100\/59 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -17 + 10320?\nAnswer: 10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -275785 divided by -3?\nAnswer: 275785\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of -1\/6*j**3 + 0 - 2*j - 1\/2*j**2. Let w be (-2 + (-2)\/(-2) - (-42)\/(-7)) + 9. Let a(g) = 4*g + 2. What is w*m(c) + a(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -10503403*n. Let w(t) = -7*t**2. Determine y(w(o)).\nAnswer: 73523821*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of 0 + 1\/50*m**6 + 0*m**2 + 1\/4*m**4 + 23*m - 3\/25*m**5 - 1\/5*m**3. Factor z(j).\nAnswer: 3*j*(j - 2)*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + 3. Let d = -1 + o. Suppose l - 5 = -g, 5*l - d*g = -2 - 9. Is l less than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b - 33 = -3. Suppose 0 = -3*i + 2*j + 706, b*j + j = 5*i - 1178. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2337721, -4675439, -7013155, -9350869, -11688581?\n\"Answer: g**2 - 2337721*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -8\/25, -1\/24 in decreasing order.\nAnswer: -1\/24, -8\/25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1261, 1263, 1265, 1267, 1269, 1271?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (22 + -33 + 7)) + (46 - -2)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -152*p**3 - 5*p**2 + 17*p + 63. Give n(-2).\nAnswer: 1225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tkktttttktktkkkt. What is prob of sequence tkt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 4*d = -50, -65 = -o - 3*o - d. Is 213*5\/o - 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of 2*m**7\/35 - m**6\/8 - 79*m**5\/20 + 5*m**4\/2 + 1188*m**2. Factor c(i).\nAnswer: 3*i*(i - 5)*(i + 4)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2447?\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 3*w**3 - 14*w**2 + 10*w - 9. Let z(m) = 2*m**3 - 13*m**2 + 9*m - 9. Let j(r) = -3*s(r) + 4*z(r). Suppose -b = -7*b - 66. Is j(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(0 + (-2)\/(-4)). Let b(n) = n**3 + 5*n**2 - 2*n - 7. Let a be b(-5). Let f = s + a. Is f at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkpjjjkpkjjpkkkmkkkp. Give prob of sequence pmj.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -34 + 34 - 25*z - 3*z + 3*z - z + (-z + z + 2*z)*(0 + 3 - 2) + (5*z + 3*z - 5*z)*(-5 + 1 + 3)*(-3 + 5 - 4).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 AM and 12:32 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 16*g**2 + 7*g + 2. Let s(t) = 5*t**2 + 2*t + 1. Let b(y) = -8*y - 103. Let j = -757 + 745. Let x be b(j). Calculate x*s(v) + 2*i(v).\nAnswer: -3*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27975 is divided by 8861.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 1. Suppose 5*x = -u*x + 35. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23826368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-84)\/20 - (-3 - 1))\/(79422\/(-1470) - -54).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 9*u - 17. Let n = -545 - -548. Give d(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*q**3 - 1615*q + 1615*q.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 - -22. Suppose 2*h = -3*c + 67, p*h = -c - 2*h + 21. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = 3*h - 2 - 4, 5*b = -4*h + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 330369 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes before 8:48 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 30*6\/(-18) - -9. Let i(l) = -32*l**3 - 5*l**2 - 5*l - 5. Let u(z) = -z**3 + z**2 + z + 1. What is n*i(k) - 5*u(k)?\nAnswer: 37*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 298 by -4718.\nAnswer: -149\/2359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-10)*(3 + 7\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2072)\/(-2849) + (-2970)\/3751?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + (sqrt(1300)*-2 - sqrt(1300)) + -4)*4)**2.\nAnswer: 5760*sqrt(13) + 187776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 19\/4 + 2\/8. Suppose 3*l - 200 = a*c, -2*c - l - 80 = -4*l. Let d = c - -127. What is the remainder when d is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*(3 + 0 - 9). Is ((-2)\/c)\/(1\/192) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aiba when four letters picked without replacement from {a: 11, b: 1, i: 2}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 734 - 2*v**2 - 900*v**3 + 263*v**3 + 293*v**3 + 294*v**3 wrt v.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (15 + -12)\/(-2 - -3). Solve -d*a + 2 = 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -14*l**2 - 4*l + 4. Let r(x) = -46*x + 2072. Let t be r(45). Determine g(t).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/(-12))\/(3 + 38\/(-12)). Solve 2 + 0 = 3*j + 2*n, 5*j - a*n - 18 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/39 + (-58)\/130. What is the closest to -1 in -2, a, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-14875)\/465)\/(-5) - 14\/217\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(-2*sqrt(9)) - (sqrt(242)*-1)**2.\nAnswer: -242 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2588 or -2587?\nAnswer: -2587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 2:20 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, g: 1, m: 2}. Give prob of sequence gmbm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -478123, -956313, -1434565, -1912873, -2391231, -2869633?\n\"Answer: z**3 - 37*z**2 - 478086*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 1 + 4 + (-197 - -715) + -534.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8b - -36b6?\nAnswer: 3774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9a4 (base 12) to base 11.\nAnswer: -1081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -164\/3*a - 18 - 2*a**2.\nAnswer: -2*(a + 27)*(3*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -82, -313, -684, -1195, -1846, -2637, -3568?\n\"Answer: -70*l**2 - 21*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5798 * -24.\nAnswer: 139152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152270 is divided by 16917?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 736509121.\nAnswer: 736509121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**3 + 18*u**2 - 70*u + 79. What is h(5)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100 (base 2) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-17)\/(-34))\/(1\/7814) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2. Let i(j) = -3*j**2 - 33*j. Determine l(i(d)).\nAnswer: 9*d**4 + 198*d**3 + 1089*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (2 - 3) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 + 10*u**2 + 4*u - 4. Let x(v) = 0*v - 11*v - 9*v**2 - 20*v**2 + 3*v**3 + 11. Let f(y) = 6*x(y) + 17*z(y). What are the prime factors of f(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/22 and -93\/104716.\nAnswer: 1151876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 + 7*j + 417. Determine q(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12469 is divided by 1262?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 9:36 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 70726 at least as big as 70726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of 109*k**6\/6 + 3*k**4\/4 + 2*k**3\/3 - 3*k - 43. Find the third derivative of o(j) wrt j.\nAnswer: 6540*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4204 and 141960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z and 1 y when four letters picked without replacement from zyzyyzy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -630, -620, -594, -546, -470, -360?\n\"Answer: l**3 + 2*l**2 - 3*l - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -108375\/3584168 - -1\/15449. Find the common denominator of 29\/3 and h.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 417827 and 614?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/83  (b) -2\/11  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -4*((-1*sqrt(847) + sqrt(847) + sqrt(847))*6 + (-4 + -1 + sqrt(847))**2) + 1.\nAnswer: -3482 + 176*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2430 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 73*a*o**4*t**3 - 2*a*o**2*t**2 - 2*a*t**3 - 14*o**4*t**3 + 535*o**2*t**3 wrt o.\nAnswer: 1752*a*o*t**3 - 336*o*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -5315*q**2 - 5242*q**2 + 10648*q**2 as m*q**2 + j*q + w and give m.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -3*b + 2. Let r(l) = -1 - l - 1 + 0*l + 3. Let t(m) = g(m) - 2*r(m). Let p(w) be the first derivative of 34*w**3\/3 + 969. What is p(t(q))?\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -25\/3 in -0.6, -0.4, 0.3, 0.2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 7. Let d = -25 + 24.7. Which is the nearest to 2?  (a) n  (b) d  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 793384*x**3 - 111766*x?\nAnswer: 4760304*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -742*(1 + (-75)\/21). Let m be u\/14 - (-18)\/(-63). Calculate the greatest common divisor of 17 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 700747?\nAnswer: 149, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 352756679 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 4*m + 14873, -35*m = -36*m + 2. List the prime factors of n.\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 + -24. Which is smaller: q or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-61 - -60) + -53 + 3 + 2 + 0 + 1?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 10 - (6 + 86352\/(-6174))\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1238.12 to the nearest 10.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of -v**6\/120 - 19*v**5\/30 - 425*v**4\/24 - 578*v**3\/3 + 48*v**2 + 3. Factor d(s).\nAnswer: -(s + 4)*(s + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 776228 and -112.\nAnswer: 776116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -211*l + 213*l + 37*l**2 - 294*l**2.\nAnswer: -257*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 12 = -0*j + 3*a, j + 8 = 4*a. Suppose 0 = 4*n + 5*g + 44, n - 5*g = -j + 22. Let d = -4 - n. Solve -d = q - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10*3\/6*(-12)\/20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1232 and 1408?\nAnswer: 9856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dvmdcmmmc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from orlurluuollowowou. Give prob of picking 2 w and 1 o.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -106*3\/(-27) - (-4)\/18. Solve 4*b - b - x = -r, 4*b + 21 = 3*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/210 and 35\/2?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 - 20*r - 4. Let v be p(-18). Suppose 26*w - 36 = v*w. Let g = -9 - w. Let c(i) = -i + 1. What is c(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -0 + 3. Let x(v) = 0*v - 1 + y + 4*v. Let z(i) = -i**2. Determine x(z(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6244688 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.2, -17, -2, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16.525 - 0.025. Let i = r - 16. Put i, -1\/2, 0 in decreasing order.\nAnswer: i, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*s + 4 = 36*s. Suppose s*c - 41 = -a, 0 = -3*c + 4*c - a - 14. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.8 and -0.578.\nAnswer: -0.4624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/23 or 36?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/((-3)\/4))\/((-192)\/96)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of -v**2\/2 + v + 1. Let g(r) = -2. Suppose -3*c + 0 - 15 = -3*b, 7 = -3*c + b. Determine c*s(f) - g(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 - -19. Let v = -18 - -19. Sort v, -2, i in descending order.\nAnswer: i, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9172 - -183353\/20. Are d and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 3*r = 14, -6 = r + 2*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 11*r**3 + r - 1. Let i(z) = 2*z**2 - 2*z + 1. Let k be i(1). Determine n(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -9538, -9544, -9546, -9538, -9514?\n\"Answer: m**3 - 4*m**2 - m - 9534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(15\/4)*-1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 255, 260, 269, 282, 299?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 53849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/3 + 38*w\/3 - 160.\nAnswer: (w - 10)*(w + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 9, h: 10}. Give prob of sequence hc.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*r**2 - 6 + 0*r**2 + 7 in the form x*r**2 + s + b*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -192, -422, -652, -882?\n\"Answer: -230*a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + x = -6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, 4, 5, 30, 2 in decreasing order.\nAnswer: 30, 5, 4, 2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7.44 - 0.06. Let s = 39.5 + a. Let i = 32 - s. What is the second smallest value in -0.3, -5, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*t**2 - 3*t**2 + t**2 + t - t + 3*t**2 + (0 + 0 + 1)*(-6*t**2 + 3*t**2 - 2*t**2).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1045 (base 7) to base 3\nAnswer: -111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 51 + -55. Which is the closest to 0?  (a) t  (b) 3\/7  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 63730.95ng?\nAnswer: 0.00006373095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*-2*sqrt(85) + sqrt(85) - sqrt(85) - sqrt(85))*1)\/((sqrt(20) + (sqrt(180) + sqrt(180)*4 + sqrt(180) - sqrt(180)) + sqrt(20) + sqrt(20))\/sqrt(4)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16 or -104?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -5*j**3 + 15*j**2 - 85*j + 5. Let o(k) = 3*k**3 - 11*k**2 + 86*k - 5. Give 2*c(d) + 3*o(d).\nAnswer: -d**3 - 3*d**2 + 88*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 6*j + 1. Suppose 0*b = 2*b + 6. Let a be 1*3\/b*1. Calculate p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 2*v + 4)*(v**2 + 5*v**2 - 3*v**2) + (-14*v + 7*v + 8*v)*(-49*v**2 - 12*v**2 - v**2) as h + d*v + k*v**3 + w*v**2 and give k.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 - (-6614)\/4)*32\/(-24). Let y = s + 3734. What are the prime factors of y?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -55 - 1658*l**2 - 638*l**2 + 55 - 3876*l**2 to the form a*l**2 + z*l + n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 120*k**2 - 2141*k - 341. Give m(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28 + s - 6*s**2 + 22 - s to j + b*s**2 + w*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 + -40. Let s = 75 + z. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-82) + 4118\/13079?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y - 163. Let p(w) = -2*w. Give u(p(k)).\nAnswer: 2*k - 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 82691362 a multiple of 698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 6:28 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + 1 - 6. Let c(z) = 2*z - 4*z + d + 3. Let p(v) be the second derivative of v**3\/3 - 5*v**2\/2 - 2*v. Determine -4*c(m) - 3*p(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*y - 175 = -57*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -5, 15618, 3 in decreasing order.\nAnswer: 15618, 8, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 2434438 and -33.6237.\nAnswer: 2434404.3763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 109 = -5*t + 366, 3*w - 205 = -2*t. Calculate the greatest common factor of 294 and t.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 + 4*i**2 + 5*i + 3. Let w be l(-3). What is the tens digit of ((-20)\/(-3))\/((-1)\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3 + sqrt(304)*-1 + 1 + 1*(2*sqrt(304))**2 + -3)*4.\nAnswer: -64*sqrt(19) + 19376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of -2*p**5\/35 + 3*p**4\/28 + p**3\/21 - 3*p**2\/14 + p\/7 - 106. Let f(m) = 0. Calculate m.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(2) + -1)*4 + -4)**2 + 3*(0 + sqrt(72))**2*2.\nAnswer: -32*sqrt(2) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 PM and 10:28 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 21363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -1. Let z(x) = -25*x + 15. Let v(i) = 9*i - 5. Let y(w) = 11*v(w) + 4*z(w). Calculate -6*j(t) - 2*y(t).\nAnswer: 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1.484 - 693.8\nAnswer: -695.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*c + 42 - 112 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7.115315 kilograms?\nAnswer: 7115315000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 62*z - 387. Calculate c(8).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -18831, -40986, -63143, -85302?\n\"Answer: -c**2 - 22152*c + 3322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*h**3*p**3 + 4*h**3 + h**2 - 9*p**3 wrt h?\nAnswer: -24*p**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of (0 - 270\/20)*(0 + -20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(7\/8))**(2\/3)\/((b**(-4\/13)*b*b)\/b**(-1\/20)) assuming b is positive.\nAnswer: b**(-647\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - -b838?\nAnswer: b83c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((-4)\/6*54\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3160158533449.4+2\nAnswer: -3160158533447.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/104 and 2436931\/(-343434) + (-7)\/(-1) + 0?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -721642119 divided by -87.\nAnswer: 8294737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 119483212 + 4\nAnswer: 119483216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58*-31.\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 3*j. Let c(x) = 17*x**2 - 37*x**2 + 16*x**2. What is c(u(k))?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f - 116 - 643 = 0. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 38*c**2 + 4. Let s(h) = 249587*h**2. Calculate j(s(o)).\nAnswer: 2367159481622*o**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 AM and 4:26 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3979\/8 - -503. What is the common denominator of -19\/20 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 + 4*r**2 + 2*r. Suppose 15 = -5*h - 0. Let k be y(h). Suppose -41 = -4*i + 67. Calculate the greatest common factor of k and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40 and 851320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 1)*(6*a - a + a)*(-109*a + 230*a - 116*a).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*z**5 - z**4 + z**4 + (2*z**3 + 0*z**2 + 3*z**2 - 4*z**2)*(51 - 51 + 42*z**2 + (-z - 3*z + 2*z)*(-4*z + 2*z + 0*z)).\nAnswer: 98*z**5 - 46*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5977 - -15839. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14.1000169 - 14.1. What is j rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*y - 3*a + 4*a = 6*a - 518, 0 = -8*y + 3*y + 31*a - 3110 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -61496.18677 plus 0.3?\nAnswer: -61495.88677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 49.6 - 2.6. Let d = n + -50. What is the nearest to 0 in d, 11\/3, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(243) + -4 - 5*sqrt(18)\/sqrt(6).\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.3 - -0.5. Let n = 9277\/210 - 638\/15. Let g = 22\/7 - n. Which is the closest to t?  (a) -1\/2  (b) 1  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 2*z + 12 = 2*w, -4*w + 3*z + 45 = 0. Suppose 0 = 6*i - 7*i + w. Find the second derivative of -i*b**4 - b**4 - b + 7*b wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -8 - 2. Suppose -t + 8 = -0*t - 3*n, 5*t - 3*n = 28. Suppose -k - 15 = -t*y. Solve y*r - m + 11 = 2*r, 2*r - 3*m = -13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 2 + 3)*(-5 + 2*a + 5) - 4*a + 0*a + 0*a)*(0*a**3 + 2*a**3 - 4*a**3).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2047 is divided by 509.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + b + 1. Let l(h) = -7*h**2 + 17*h + 8. Let z(n) = -3*n**2 + 8*n + 4. Let r(v) = 6*l(v) - 13*z(v). Give -2*c(y) - r(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 - 10*v**2 - 12*v + 13. Let f be p(11). Suppose 2*s = q - f*s + 18, 0 = 3*s - 15. Which is the closest to q?  (a) -4  (b) 0.5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11378*y = -5695*y - 5704*y + 42 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*y - 21*y = -115. Let s(n) = 21*n**2 - 2 - y*n**2 + 2. Let u(k) = -3*k. Give u(s(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 j when three letters picked without replacement from {w: 15, j: 5}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114*b**3 + 52*b**3 + 60*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1542)\/(-4) + -1)\/220. Let h = 1\/440 + r. Determine m so that -h*m - 5\/4*m**2 - 1\/2 = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -155432 or -155419?\nAnswer: -155432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) 120403  (c) 1\/7  (d) -4  (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -588*o + 15113 + 14287 = 0 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 196124167.\nAnswer: 196124167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = 5*t - 2*x, 3*x + 1 = -t + 4. Let c be ((-1)\/2)\/((-1)\/(-28)). Let b = c - t. Let j(v) = 2*v + 3. Give j(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (35\/15)\/(1\/21) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -7640, -4, -2, -3 in descending order.\nAnswer: 5, -2, -3, -4, -7640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.1 - 0.7. Let r = y + 5.3. Which is the closest to 2?  (a) -3  (b) 4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9680\/(-528) - (4\/2)\/(-2). What is the third smallest value in 0.4, y, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2104 divided by -754.\nAnswer: -1052\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 take away 773208850?\nAnswer: -773208867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*l - 16619 = -95*l + 3*p, -5*l - p + 41522 = 0. What is the highest common divisor of 165 and l?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 PM and 4:17 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.109*-0.14.\nAnswer: 0.01526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - ((-8 - -16) + -29 + 1 + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 5:08 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -167 divided by -7?\nAnswer: 167\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/((h\/((h\/h**(1\/3)*h*h*h)\/h))\/h))\/((h\/h**(-9))\/h)*(h\/(h\/(h**(-1\/7)*h)))\/(h*h\/h**(-2\/19)*h*h))**(-7) assuming h is positive.\nAnswer: h**(3424\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/13)\/v**(2\/17))**(-2\/109) assuming v is positive.\nAnswer: v**(120\/24089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of 7*b**6\/120 + b**5\/20 + 7*b**3\/3 + 13. Let t(h) be the third derivative of x(h). Factor t(n).\nAnswer: 3*n*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -631, -629, -627, -625, -623, -621?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -o**6\/180 - o**5\/40 + o**4\/24 + 6*o**2. Let f(l) be the second derivative of d(l). What is f(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/(-4))\/(2632\/5593)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**0*j))**(-2\/33)*(j*j**1*j)**44)\/((j\/j**1)**(-4\/15)*((j*j*j\/((j*j*j**(-3))\/j))\/j)\/j*j**3) assuming j is positive.\nAnswer: j**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1811443111 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1053*m + 553*m - 835*m - 503*m)*(3 + 1 - 3).\nAnswer: -1838*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 2 = 3*h, j - h = 2*j + 2. Let n(v) be the third derivative of -v**4\/24 - 5*v**2. Determine n(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 66*k + 1927. Let d be b(-29). Solve d*g = -347 + 308 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2429783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(-836*g**4 + 1709*g**4 - 205*g**4).\nAnswer: -1336*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.04 + 0.04. Let z = 14 + -13. Let y be 18\/(-14) + z + 483\/147. Which is the closest to p?  (a) -3  (b) y  (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4119 - -7678. What are the prime factors of a?\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 498*q**3 - 338*q?\nAnswer: 2988*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/5*(-10)\/8)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11111000011110 (base 2) in base 5?\nAnswer: 1002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5649 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -2*p + 5*g, 3*g + 6 = 5*p - 11. Let d = -181 - -178. Let c be (d + (3 - 1) - -2) + 2. Put p, c, -4 in decreasing order.\nAnswer: c, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200)*2 + sqrt(200))*-1 - sqrt(200)*2*2.\nAnswer: -70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 4*d - 12, r - 6*r = -d + 21. Let i be r\/18 + 8\/36. Is 2\/45 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -483*l + 459 = -480*l. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -6*d + 5. Let h(q) = q**3 - 6*q**2 + 7*q - 6. Determine h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(152) - -2*sqrt(152) - sqrt(152)))\/sqrt(8)*-1*4)**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -15223 (base 7) in base 14?\nAnswer: -1783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4873424 + 188878.5\nAnswer: -4684545.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4502 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 790\/2583 - 52\/2583. Find t such that -184\/7*t + y*t**2 + 4232\/7 = 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of 212*p**4 - 152*p**2 + 1477. Find the second derivative of g(q) wrt q.\nAnswer: 5088*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*u - 33 = 56*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -2.7. Let d be 1\/((-28)\/92) - (-12)\/4. Which is the smallest value?  (a) 1\/2  (b) w  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 - 26. Which is the closest to 2\/3?  (a) 2  (b) h  (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61929899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 2*x = -0*v + 122, 5*v + x = 199. Suppose 4*m + m - v = 0. Suppose -3*c = -m*c + 30. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 356599642?\nAnswer: 2, 7, 199, 127997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 5*q = 18. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3\/20 + -49\/60. Let y = 295.6 + -296. Let w = -0.1 + 0. Sort m, y, w in descending order.\nAnswer: w, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 9:47 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 6*z + 4 = 0. Let l be ((-1)\/z)\/(2\/(-16)). Does -3 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 366045987 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 5*p - 9. Suppose -2*f - 106 = 7*z - 2*z, 5*z - 4*f = -88. Let d = -6 - z. Let m(r) = -r**2 + 15*r - 8. Let j be m(d). What is v(j)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 5, l: 4, s: 2, n: 2, p: 4}. Give prob of sequence snpp.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h\/h**(-1))\/(h*h**(-2)*h*h))**(2\/11))**(-1\/12))**13 assuming h is positive.\nAnswer: h**(-13\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 332459136 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 85402 bigger than 10846179\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 0*d + 2 + d - 7*d**2 + 7*d**2 - 2*d**3 - d**2. Suppose 2*p = -4*z - 0 + 8, 0 = -5*z + 15. What is the remainder when b(p) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-14)\/1)\/(-7))\/(5\/1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 1 - 16. Let r be ((-4)\/10)\/(z\/15). Suppose -4 = u - 224*c + 227*c, -4*u + c = -23. Solve r*k - 19 = -3*y + k, u*y + k = 29 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -11*q**3 + 12*q**2 + 12*q - 5. Let t(h) = -13*h**3 + 14*h**2 + 14*h - 5. What is -6*r(v) + 5*t(v)?\nAnswer: v**3 - 2*v**2 - 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 14 = -2*s, -22*z + 25*z - 15 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**4 - 4*h**3 - 2*h**2 + 2*h - 1. Let q(m) be the first derivative of m**5\/5 - m**4\/4 - m**3\/3 - m + 1. Let d(z) = -2*q(z) + y(z). Factor d(b).\nAnswer: -(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = -184*z + 167*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10078 + 4*z**3 - 5*z**3 - z + 3*z**3.\nAnswer: 2*z**3 - z + 10078","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2053*f**3 - 56*f**2 - 53*f. Let n(g) = 1369*g**3 - 40*g**2 - 35*g. Let t(a) = 5*d(a) - 7*n(a). What is the second derivative of t(l) wrt l?\nAnswer: 4092*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -111 + 31 + 30*v + 14 + (v - v + 2*v)*(-1 - 1 + 0).\nAnswer: 26*v - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 241715 divided by 5.\nAnswer: 48343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 2709693504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + (3 - -24) - -3. Suppose 0 = -0*h - 2*h + p. What is the greatest common divisor of h and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 7 = -27. Let x(r) = 5*r + r - w*r. Let t(s) = -6*s. Determine x(t(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) -5\/6  (c) 3\/118  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 16, x: 2}. Give prob of picking 2 o.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 13 + 16 = 0. Suppose a - 6 = k. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118713 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108*b**4 - 860*b**3 + 31244*b**2 + 163004*b - 6080 = 0. Calculate b.\nAnswer: -19, -5, 1\/27, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -114 - t**3 - 123 + 237 + 2*t + 3*t**2. Let g(y) = -y**2. Let u be -4 + 0 + (19 - 10). Suppose 15 = u*i, o - 2*i = -4 - 1. What is o*n(l) + 2*g(l)?\nAnswer: -l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3*i = 3*i. Let t be (5 - 5 - -753) + i. Suppose -t = -6*k + 177. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -4*h - 90. Let m be (4 + h\/(-10))*(2 + -3). Which is the smallest value?  (a) m  (b) 1  (c) -5  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (((-1*sqrt(18))\/sqrt(9))**2 - (1 + sqrt(2))*2))*2.\nAnswer: -8 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 83bb5 (base 12) in base 10?\nAnswer: 172793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*t + 22*t + 28. Let n be 7\/1 + 20\/t. Let y(j) = j**3 - 2*j**2 + j + 1. Let v be y(3). Solve -5*g - n - 3 = 5*f, 2*g = f + v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 88\/14 + 2\/(-7). Suppose 3 = 7*h - q*h. Suppose -h*u + 14 + 55 = 0. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + -52*6\/(-16)*2. Suppose -p = -40*q + 36*q. Solve -q*h - 10 = -7*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18871*u**3 - u**4 + 2 + 25*u + 2*u**2 - 23*u + 18971*u**3 in the form d + b*u**4 + x*u + k*u**3 + l*u**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/383586 and 19\/19727280.\nAnswer: 138090960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(4\/5)*c*c)\/(c**1\/c))\/((c\/(c\/c**(-2\/7)))\/c*c\/(c**(-7)*c))*(c*(c\/c**0)\/c)\/c*c**(-6)\/c*c**(-5)\/((c*c\/(c**(1\/2)\/c))\/c) assuming c is positive.\nAnswer: c**(-1079\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2055869.\nAnswer: 199, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -23. Calculate the highest common factor of 108 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 + 2*q**2 - q. Let k be i(1). Suppose u + k*u - 30 = 0. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, l: 4, v: 1, j: 2}. What is prob of picking 1 v and 2 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 3*d + 0*d + 173 - 175. Determine n(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n + 35. Let v(l) = -115*l + 78. Give -2*u(z) + v(z).\nAnswer: -113*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*m - 95*m - 426 = 41*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.04143 + 49.04143. Which is the second biggest value?  (a) 5  (b) 3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -8, -22, -42, -68?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 22*m + 7*m)*(-m + m - m) + (-1 + 2*m + 1)*(m + 3*m - 2*m) - 3*m**2 + 4*m**2 + 0*m**2.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -381236*q**2*x**2 + 4*q**2*x + 30*q**2 - 308424*q - 658*x**2 wrt q?\nAnswer: -762472*x**2 + 8*x + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 460348300.\nAnswer: 2, 5, 4603483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -175.31 from -100482.81.\nAnswer: -100307.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Is 1184 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -2*p**5 + 4046*p**4 - 2060364*p**3 + 14249088*p**2 - 12192768*p = 0?\nAnswer: 0, 1, 6, 1008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.12 + 0.1200805. Round h to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ljljjljljlljjjhjjjjl. What is prob of sequence jj?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x - 7 = 23. Let b(r) = -2*r**2 + r - 1. Give b(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*g + 3 + 106*g - 6 - 6.\nAnswer: 82*g - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0\/(-1))\/(9\/(-3)). Suppose j = n - 2 - 0, -5*n - j + 22 = u. Solve -n*v = -9 - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mhhhhhhhll. Give prob of sequence hhm.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 3*t + 2*t = 59, 3*t = 4*g - 40. Suppose 4*s - 25 = -g. What is the second derivative of 0*k**3 - 7*k**s + 7*k**3 - 7*k + 4*k**3 wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6\/1825 in -2.7, 23, 4?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((0 + sqrt(63))*5 - (sqrt(5103)*-1)**2))*6.\nAnswer: -30588 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 202179645 by 1215.\nAnswer: 166403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 113.00000051 + -113. What is r rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-67 - (-14 - (7 + 31))) + (-9 - 0)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 5*o - 9, -u + 3 = 2*u - 5*o. Let b(w) be the first derivative of -w**2\/2 + 6*w - 9. Determine b(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 467479\/30 - 15586. Let t be ((-4)\/(-110))\/((-12)\/302223). Let k = -4598\/5 - t. Find the common denominator of h and k.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2029.9 + 2030.1. What is the closest to -1\/12 in -0.024, 2\/5, b?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 8, -3, -4, 6.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3*u + 36. Suppose -u = -6*b + 3*b + 4*f, -3*b = -f. List the prime factors of b - -15 - (0 - -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3153.5 + -3153.513773. What is g rounded to four decimal places?\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -48486929\nAnswer: 5\/48486929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 22 = 14. Suppose -g = -5*d + 2, 2*d + 5842 = 5*v. What are the prime factors of v?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 3*z + 17, -6 = 3*q - 5*z - 3. What is the first derivative of 22*g**4 + 36 - 114 - 83*g**q - 32*g**4 wrt g?\nAnswer: -372*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*g*n**6 - 2*g*n - 7*n**2 wrt n.\nAnswer: 960*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 323 - 323. Suppose -36*i + 58 - 238 = j. Put i, -2, 121 in descending order.\nAnswer: 121, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 54 = 4*l. Solve -1 - l = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 6 + 0 - a**2 + 6 - 8*a. Let z be (3 - 2)\/(1\/(-9)). Let s be n(z). Solve 2*g - s = 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 49895264*k**5*w - k**3*w + 13*k**2 + 18*k*w - 138*k - 4*w + 3 wrt k.\nAnswer: 2993715840*k**2*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((27\/(-45))\/(9\/9))\/(9\/(-20)*-14)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*v + 16*v = 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 30*p - 18*p = 2441277. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-14)*n**(-23))**15)**(6\/7) assuming n is positive.\nAnswer: n**(-3330\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 0.2, 2\/3, -0.5, 1, -0.558?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 47197 and 872.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 12*v - 14. Let o(g) = 20 - g - 20. Let c(s) = m(s) - 3*o(s). What is the derivative of c(f) wrt f?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 16*x**2 - 28*x - 191. Determine k(18).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/17 - 11500\/12750?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1851901?\nAnswer: 1851901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3  (b) 1\/5  (c) -224  (d) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 415467?\nAnswer: 3, 13, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 8:28 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 111*c - 118. Let f be o(-3). Let l = 1720 - f. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001716028 rounded to seven decimal places?\nAnswer: -0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12089010 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*b - 187*b = -64*b + 15515 for b.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -4*f**2 + f**2 + f**2. Let u be 22*1\/2 - 6\/2. Let n(d) = -2*d + 8. Let l(h) = -h + 3. Let z(v) = u*l(v) - 3*n(v). What is z(s(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + 10*d**2 - 7*d - 3. Does 5 divide f(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 2*d + 8 = 0. Let i(y) = -y**3 + 5*y**2 + y + 3. Let k be i(5). Let q = d - k. What is the third smallest value in -0.1, -2\/21, q?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 81 and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96115?\nAnswer: 5, 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15536 + -15531. Let z(r) = r**2 - 7*r - 2. Let a be z(7). Let t be -4 - 0 - a - 2. Put p, 0, t, 3 in ascending order.\nAnswer: t, 0, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.490571 + -7882?\nAnswer: -7882.490571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 194 + -106. Suppose 2*s + b = 13*s. Solve k + 3*g + s = 0, -2*k - 3*g = -g + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48554?\nAnswer: 2, 11, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 280221 is divided by 46577.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, -8\/7, 4, 1\/8, -77?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 782\/325 + -2\/325. Let t be 61\/(-2) - 4\/(-8). Find the common denominator of 1 + 3\/t*97 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {s: 1, p: 16, w: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uxccvcucccuvvv. What is prob of sequence uu?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -82.8471 + 82.9. Let m = v - -0.1471. Let k = -30.3 - -0.3. Sort k, 2, 5, m in decreasing order.\nAnswer: 5, 2, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159899914?\nAnswer: 2, 79949957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (32 - 15) + -13 - 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/3 + 679*n**2 + 351480*n + 17341700\/3.\nAnswer: (n + 17)*(n + 1010)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.2 - -5. Let n = -3823\/2 + 1913. Which is the closest to -1?  (a) z  (b) n  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19353 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**4 + x**3 - x. Let a(o) = 11*o**4 - 6*o**3 + 2*o. Let q(w) = a(w) + 6*z(w). What is the second derivative of q(j) wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 6142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101 + 11111000?\nAnswer: 11101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vu when two letters picked without replacement from uvv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2. Let v(i) = -5*i**2 + 2*i - 2. Let k(g) = -5*g**2 + 3*g - 3. Let q(j) = 2*k(j) - 3*v(j). Determine q(t(o)).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -199.444 + 0.944. Round a to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -15. Let y = 5.3 - -0.7. Let i = y - a. What is the closest to 0.1 in -5, i, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2758866 to the nearest integer?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 13*y + 8*y)*(-7*y + 0*y + 3*y)*(-4*y - 3*y + 5*y) + (6*y**2 - 4*y**2 + 0*y**2)*(5*y + y - 3*y).\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {m: 1, t: 1, k: 1, a: 2, q: 2, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 1:52 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -1011*i. Let v(w) = -90*w**2. Give v(p(m)).\nAnswer: -91990890*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2286701.764 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19289214*s**6 - 822*s**2 - 2093*s - 1?\nAnswer: 2314705680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 81306 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 + d. Let w(l) = -6*l**2 - 2*l. Let u(x) = -59*x**2 + x - 7. Let b be u(2). Let n = 239 + b. Determine n*w(q) - 4*h(q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2*c - 21396217. Let f(r) = -2*r. What is f(k(y))?\nAnswer: 4*y + 42792434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 84002.28nm in micrometers?\nAnswer: 84.00228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*v - 16*v = 101*v + 1386 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -799, -781, -763?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -67, -133, -197, -259, -319, -377?\n\"Answer: z**2 - 69*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**3 + 8*k - 35*k**4 - k**2 + 73*k**4 - 36*k**4 - 209*k + 5 in the form s + j*k**2 + r*k + y*k**3 + u*k**4 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.41, 0.2, 4, -2182?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -8*t**2 - 29*t + 31. Determine a(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -141332, -141322, -141300, -141266, -141220, -141162?\n\"Answer: 6*w**2 - 8*w - 141330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**5 - 40*u**4 - 885*u**3 + 6800*u**2 + 9244*u - 15120 = 0 for u.\nAnswer: -20, -2, 1, 7, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 AM and 4:00 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, k: 2, b: 2, i: 9, z: 3}. Give prob of picking 1 k, 1 z, and 1 o.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -76.8 - -77. Let t = 0.15 - 2.15. Let y(q) = -2*q - 39. Let a be y(-19). What is the closest to d in t, a, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -29 and -33.82.\nAnswer: 980.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 600 = 5*z, -2*y - 31 + 639 = z. What is the remainder when y is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*d**5 + 0 + 0*d + 0*d**2 + 1\/2*d**4 - 3*d**3.\nAnswer: d**3*(d - 2)*(d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10*t - 8*t + 3*t)*(0*t**2 + 2*t**2 + t**2) to u + l*t + n*t**3 + g*t**2 and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2175827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = 8*w - 90. What is the derivative of -95555*f**3 - 7*f**w + 95555*f**3 - 9*f**2 - 177 wrt f?\nAnswer: -28*f**3 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-921*(-126)\/(-7749) - -39) + (-48)\/2.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 x, and 1 g when three letters picked without replacement from dxgouox?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 8*z + 112. Let l be i(-13). Suppose -22*m + 6090 = l*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2\/7*x**2 - 164*x + 0 = 0. What is x?\nAnswer: -574, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - ((0 - -6 - 9) + -8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/117, 27, -12, -1\/4, -25 in increasing order.\nAnswer: -25, -12, -1\/4, -1\/117, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -6*o**3 - o**2 + o + 1. Let h be v(-1). Let j be 4\/10 + (-32)\/h. Let d(b) = -7*b + 11. Is d(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 56270?  (a) -3\/5  (b) 0.5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(7\/3))\/v*v\/(v\/v**(-1\/3)) assuming v is positive.\nAnswer: v**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101102 - 1?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0048346 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + 1 - (-6)\/2. Suppose 0 = -5*v + j*v - 12. Let c be 1\/v + 65\/4. Solve -c - 14 = -3*h - 5*b, 4*h + 2*b - 26 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the second derivative of -1\/12*k**4 - 1\/6*k**3 + k**2 - k + 0. Let w(d) be the first derivative of o(d). Differentiate w(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 8101*p**2 - 34*p - 6. What is the units digit of d(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**2 + 387*f + 1724 - 1724 + f**2 - f**3.\nAnswer: -f**3 + 387*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(2\/19)*y)**(-1)*(y*y**(4\/7))\/((y*y**(8\/3))\/y))**(1\/70) assuming y is positive.\nAnswer: y**(-1193\/27930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(8) + sqrt(32))*-5 + sqrt(8) + sqrt(8)))\/(-5*(sqrt(576)*1 - sqrt(576) - sqrt(576)))*2.\nAnswer: -13*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 201*a + 3154455 = 246*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + o - 1 = 0, -4*j - 11 = 5*o + 13. What is the tens digit of (10\/5 - 28)*j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*k - 18*k + 192 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.247 - -0.33. Let q = d - -47.917. Let g = q + -47.942. What is g rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**3 + 245*n**2 - 1960*n - 4940.\nAnswer: -5*(n - 38)*(n - 13)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 5*z - 3. Suppose 972*s - 18 = 966*s. Let q(u) = -44*u + 28. What is s*q(k) + 28*x(k)?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 87\nAnswer: 43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -16, 4, 8, 41 in descending order.\nAnswer: 41, 8, 4, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -z**5\/2 + 22*z**4 + 96*z**3 + 8*z**2 - 376*z - 384 = 0.\nAnswer: -2, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 3*i = 10, 2*i + 14 = f + 5*i. Let m(p) = -1 + 0 - f - p. Determine m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 180*(-24)\/(-144)*(-2)\/3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the first derivative of j**6\/12 - j**5\/5 - j**4\/8 + j**3\/3 + 3. Find p such that o(p) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of -32*y + 1\/12*y**4 + 0 - 1\/2*y**2 + 7\/3*y**3. What is the units digit of t(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35\/6 - 5. What is the second smallest value in 0.2, -2, -1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.084 + -0.08400044. Round x to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oeoeoee. Give prob of picking 1 e and 3 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the third derivative of -q**7\/35 + q**4\/6 - 15*q**3 - 65*q**2. Differentiate p(s) with respect to s.\nAnswer: -24*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0\/(1 + (-1)\/(-1)). Let y(u) = u**2 - 2*u - 2. Let d be y(4). Suppose a = c - 11 + d. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 21 - 24. Let m(y) = -2*y - 5. Let w(p) = -5 + 12*p + 8*p - 35*p + 12*p. Calculate z*w(o) + 4*m(o).\nAnswer: o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -64*k + 2472. What is x(39)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*t - 23 - 15 + 40 as l*t + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u. Let l(t) = -9*t + 6. Let n(z) = z - 1. Let d(s) = -3*l(s) - 18*n(s). Determine -d(p) + 4*j(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -3*(-4 - 28\/3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11881464 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3\/2875 - 169607\/17250. What is the common denominator of -4\/11 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1999, 1\/116, 3, -1\/5, -5, -8\/7.\nAnswer: -5, -8\/7, -1\/5, 1\/116, 3, 1999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(119)\/(sqrt(28)\/sqrt(4)) - (sqrt(17) + sqrt(68)\/sqrt(4))*3.\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -548, -1279, -2010, -2741, -3472, -4203?\nAnswer: -4934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i + 2. Suppose -4*t - 5*p - 1 = 0, -3*p + 82 - 81 = 2*t. Let l(v) = -3*v - 3. Suppose 0 = -2*z - 2 - 4. Calculate t*h(a) + z*l(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5393339 + 5393323.9999844. Let l = -77 - -62. Let t = l - v. Round t to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -93 + 139. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 54214 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 49513200 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**4 - 398*m**3 + 2681484*m**2 + 21470464*m + 42953152 = 0. What is m?\nAnswer: -1258, -4, 1067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 959 = 174*d - 455*d - 432*d + 3811 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((6\/92)\/(-1))\/(520\/(-32) + 17).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.22 and 642.\nAnswer: 642.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 137*i - 125*i - i**2 + 0*i**2 - 25. Let b be k(9). Let s(y) = -2*y**2 - 2*y**2 + 7*y + 0*y**2 + 3*y**b - 9. Calculate s(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*l**2 + 89377*l + 178778.\nAnswer: -(l + 2)*(6*l - 89389)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 9732, 19383, 29018, 38637, 48240, 57827?\n\"Answer: -8*c**2 + 9675*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 483942 is divided by 161308?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-487)\/2*(-10922)\/43 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the first derivative of -k**4\/2 - 4*k**3 - 12*k**2 - 16*k + 12. Solve r(b) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2816) + sqrt(2816) + 1 - sqrt(44))*3 + (5 + sqrt(704) + 1 - (sqrt(704)*2 + -4)))**2.\nAnswer: 2132*sqrt(11) + 74133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 453?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3091367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of -1991*u**7\/42 + 329*u**3\/3 + 494*u. Find the second derivative of v(n) wrt n.\nAnswer: -39820*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 190218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence edee when four letters picked without replacement from deedde.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -u**4*y - 540*u**3*y**2 + 389*y**2 - 2 wrt u?\nAnswer: -4*u**3*y - 1620*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(330) - (-1*sqrt(330) - sqrt(330))))\/sqrt(6))\/(-1*sqrt(11)*-2*-2).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f**3\/7 + 102966*f**2 - 720765*f\/7 = 0.\nAnswer: -240255, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4668, -9327, -13986?\nAnswer: -18645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*l + 4*l - 28*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 900*h**2 - 262*h**2 + 627*h**2.\nAnswer: 1265*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/236, 2, -0.01 in ascending order.\nAnswer: -0.01, -1\/236, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 5, g: 1, n: 4, l: 1}. Give prob of sequence gl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2\/2 - 6*r + 18.\nAnswer: -3*(r - 2)*(r + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 3*h + 1, -h + 23 = -2*f + 6*f. Factor d**2 + 1\/3*d**h + 2\/3*d + 0.\nAnswer: d*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13.1 + -12.1. What is the third smallest value in 5, p, -1\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192928*f**3 + 379866*f**3 - 24934*f**3.\nAnswer: 547860*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 109 - -9. Is r a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s + 11. Let l be n(4). Suppose -3*k + l = -i, 0 = 2*k - 3*i + 10 - 3. Solve 4*y = -0*y + 4*w + 36, -k*w - 20 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -137*k**3 + 2*k**2 - 7*k - 6. Let v(y) = -y - 1. Determine r(h) - 6*v(h).\nAnswer: -137*h**3 + 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*i**2 + 124874665*i + 124874670.\nAnswer: -5*(i - 24974934)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 22*q**2 + 90*q - 92. Determine y(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0\/(-3) + 1)\/((-12)\/(-156)). Suppose -12*y + 25*y - d = 0. Solve -s = -0*s + y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**3 + 2. Suppose -3*q + 2*k = k - 7, 15 = 3*k. Let t(i) = 0*i**3 + 5 + q*i**3 - 6*i**3. Let y = -31 + 21. Determine y*m(a) + 4*t(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -20 + 4*i - 2*i + 5*i - i - 8*i. Calculate q(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 3349*m - 47. Let p be q(7). Suppose 0 = -10*c + 3014 + p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 59.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7, 0.2, 2, 0.01, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (9 - 4)*(-834)\/(-695). Let a(y) be the first derivative of z - 3\/16*y**4 - 1\/8*y**2 + 0*y - 1\/20*y**5 - 1\/4*y**3. Factor a(d).\nAnswer: -d*(d + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-90)\/243*297\/(-1155).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-26) + (-56)\/(-195). Let s be 1*(-1 + 2) + (-130)\/110. Sort s, -0.1, -4, d in increasing order.\nAnswer: -4, s, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/10 - (-365)\/25. Suppose 0 = d - f + 19. Which is the third biggest value?  (a) -2\/21  (b) d  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 4*t - 12 = 0, 3*x - 4 = -2*t - 3*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1652 is divided by 1179.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/9 - 23498*l**2\/3 + 281963*l\/9 - 70490\/3.\nAnswer: (l - 70490)*(l - 3)*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, i: 4, u: 1, t: 1, m: 1, g: 2}. What is prob of sequence mgt?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**0\/a)**(12\/5)\/(a**(-1\/6)*a**(-1\/3)))\/((a\/(a*a**(-2\/15)*a)*a*a*a**9*a*a)\/(a**9\/(a*a*a*a**(-7)))) assuming a is positive.\nAnswer: a**(41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 50.853312 to 2 dps.\nAnswer: 50.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1384612 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*c - 9 = 63*c. Suppose -c*o + 6 = 18. Let b be (-5 - -4) + 5 + -1. Sort o, -2, b in decreasing order.\nAnswer: b, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11037*p + 5433*p + 1301130 = 0 for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 - 213.\nAnswer: -213.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-12)\/(-18) - (-2)\/(-3). Solve 3*u + 16 = -0*u - 4*i, x = 2*u - 3*i - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/3)*k**(-2\/13))**(4\/19) assuming k is positive.\nAnswer: k**(-128\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 69312 and 38665?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36, 4, 23, 5, -1, 3, 66.\nAnswer: -36, -1, 3, 4, 5, 23, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 PM and 8:12 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -3915.117 to the nearest ten.\nAnswer: -3920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u**2. Suppose 24 = 5*c - 76. Let l(p) = 8*p**2 - 3*p**2 + c*p**2. What is l(o(g))?\nAnswer: 100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -2\/13, -68, 2 in decreasing order.\nAnswer: 4, 2, 1, -2\/13, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, r: 3, m: 2, u: 1, f: 5}. What is prob of picking 1 u and 1 f?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 - 1 - (-1 - (29 + -22 + 13)). Solve w*u = 10*u, 2*b - 10 = -5*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 60728 = -4*v + a, -3*a - 36444 = -3*v. List the prime factors of v.\nAnswer: 2, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 308 = 5*p. Let d = 129 + p. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - 6*w + 2. Let d(m) = -4*m + 2 + 4 + 5*m**2 - m**3 - 1. Let n be (-7 - -1)\/(6\/(-4)). Let u be d(n). What is v(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 3*w + 4 = 3*k, -28 = -3*k - w. Suppose 10*o - k*o - 1072 = -3*d, 3*o - 1787 = -5*d. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, b: 11}. What is prob of picking 3 b?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11184 divided by -2?\nAnswer: -5592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 48 = -5*l, 2*l + l = 3*c - 72. Suppose -4*d + c = 2*d. Suppose 3*k = -0*b - 5*b + 9, k + 14 = d*b. Solve 4*p - b = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9036\/11 at least as big as 820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 234 and 44109?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - 2*b + 4*b + b + 3*b - 5*b + (0*b + 0*b + 2*b)*(1 + 1 + 0))*(7*b + 9*b - 8*b + (-b + 0*b + 2*b)*(-1 + 5 - 3) + 8*b - 28*b - 36*b).\nAnswer: -188*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 220\/67 + -84901\/25795. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24371*j + 59129*j - 19724*j - 26577*j to the form p*j + z and give p.\nAnswer: -11543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 124136, 248279, 372434, 496607, 620804, 745031, 869294, 993599?\n\"Answer: u**3 + 124136*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 + 24*f + 485. Give d(-24).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g - 2*g + 3*g)*(-24*g**3 - 2*g**3 - 38*g**3)*(-2*g + 3*g - 2*g).\nAnswer: -64*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pbz when three letters picked without replacement from ppbgpbbzgpbzbbzbbb?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 473*x**4 + 758*x + 1 wrt x.\nAnswer: 5676*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -12336*m - 1 - 1 + 12334*m. Let j(w) = 1. Calculate c(s) + j(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -364511098, -729022195, -1093533292, -1458044389?\n\"Answer: -364511097*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 102944 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 + 0)*(1 - 17*w - 1)*(-83*w + 405*w - 195*w) to j*w**2 + m + d*w and give j.\nAnswer: -4318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-4)*(-4)\/(-18))\/(294\/980).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 5*h**2 - 15*h + 23. Is v(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 5*b - 7 = -112, 0 = -y + b - 51. List the prime factors of y\/(-2)*((-728)\/(-20) - 2).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-3\/4)\/(v*v**(-9))*(((v\/(v*v\/v**(-1)*v))\/v)\/v)\/(v\/(v*v\/v**(-14)*v)*v))**(2\/29) assuming v is positive.\nAnswer: v**(69\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oeew when four letters picked without replacement from {q: 3, x: 2, o: 1, e: 2, y: 1, w: 9}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 0, -1637, 2.8 in increasing order.\nAnswer: -1637, -6, 0, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -14*m**2 - 8*m. Let g(p) = -9*p**2 - 5*p. Let n(u) = -8*g(u) + 5*h(u). Calculate n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 18*d - 16. Let l be v(19). Let b = l - 155. List the prime factors of b.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38324263 is divided by 5242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -2431455 not equal to -41334732\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of s**3\/3 - 13*s. Let l be m(2). Solve l*r - 4*f = 0, -5*r + f = 3*f - 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-1\/5)*p**(1\/7)*(p\/(p\/p**(3\/10)))\/((p**(-5)*p)\/p))**(-11\/7) assuming p is positive.\nAnswer: p**(-4807\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 9, p: 5, g: 1, d: 1, i: 1}. Give prob of picking 1 d and 1 g.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/16236 and -13\/3132.\nAnswer: 1412532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**2 + 7*c**4 - 2 + 2*c + 9*c**4 + 2*c**3 - 18*c**4 to w*c**4 + l*c**2 + q*c + g + v*c**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.4 + 0.32. Let o = b + -0.32. Sort -4, -0.3, o.\nAnswer: -4, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1310240 + -1?\nAnswer: -1310241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 15838860 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2248162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30*x**4 + 37*x**3 - x**2 + 8774*x?\nAnswer: 360*x**2 + 222*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -457590 - -457589.328294. Let c = 0.671 + r. Round c to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {k: 1, v: 2, w: 2, y: 1, a: 1, q: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {o: 1, j: 4, u: 1, w: 3, b: 1, h: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 567 and 405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 229 divide 842653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 10c (base 16) in base 7?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*(-1*sqrt(456) - sqrt(456)))\/(sqrt(60)\/(sqrt(20)\/sqrt(4))))\/(3*sqrt(50) + (sqrt(20) - sqrt(320))\/sqrt(10)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -53 + 209\/4. Let x(z) = z**2 + 6*z + 7. Let k be x(-5). Suppose k*u = -u. Is u less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 - 6*x - 5. Let v be i(-4). Suppose v*l - l - 110 = 0. Calculate the highest common divisor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22.90273 + -0.00727. Let v = j + 23. Let r = -789246\/7 - -112749. What is the third smallest value in r, -2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2957 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (31 + 16\/(-40)*15)*(4 + -3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 23\/5, 2\/9, -14?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/(2 - (2 + 1)). Let w be h\/(-8)*4\/(-10). Let 1\/4*g**2 - w*g**5 + 0*g + 0 + 1\/4*g**3 - 1\/4*g**4 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j + 3*j - 39*j**2 - 4*j.\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1793 or 73486?\nAnswer: -1793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + -11. Suppose -f + 4*t + 31 = -t, -q*f - 2*t = -14. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-49)\/(-3)*2052\/126. Calculate the highest common divisor of p and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 4*m**3 + 4*m**2 + m. Let f(w) = 5*w**3 + 4*w**2 - 1. Let p(j) = -3*f(j) + 4*z(j). What is p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2*i**2 + 5)*(-3 + 4 + 1) - 2*i**2 + 2*i**2 - 2*i**2 - 16 + 16 + 3*i + 2*i**2.\nAnswer: -4*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -0.8. Is d smaller than 11\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10483 = -629*t + 3355 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 0.6, -4, 1, -3\/79?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3*-1*2\/(-6). Let y be -4 - ((l - -1) + 1). Let s be (-21)\/y + 9\/(-45). Solve -3*v - 6 = 0, 0*v = s*t - 5*v - 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1012011110 (base 3) to base 15.\nAnswer: 6e33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/b**(3\/8)*b*b**(-1\/4))\/((b**(3\/7)*b*b)\/(b*b**(-4))) assuming b is positive.\nAnswer: b**(-171\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 - 4*l**2 + 4*l**2)*(-l + l + 2*l**2) - 20197*l - 183*l**4 + 20197*l.\nAnswer: -187*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 15 = 3*p, 2*r = -2*p - p + 6. Calculate the remainder when 24\/(r\/(234\/12)) is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from zinnqnnqnvzzztinn.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 - -54. Let s = j + -48.4. Let k = -1.6 - s. Round k to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 - 35 - (-4 - 2) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*r**2 - 16*r**2 + 47*r**2 - 5 - 21*r**2 - 8*r to w*r + c + l*r**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -6*s. Let v be (-14)\/4*(-12 - (-880)\/77). Let g(j) = 0*j**2 + 6*j**v + 23*j**2 + 5*j**2. Determine d(g(i)).\nAnswer: -204*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1406 + 1411. Calculate the smallest common multiple of t and (-12)\/(-1*(2 - 1)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.8 - -68.2. Let i = -77.8 + p. Let r = i + 4. Round r to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 26039*c**3 - 11 + 46889*c**3.\nAnswer: 72928*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 - 10*w**2 - 2*w - 14. What is f(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.149 + 0.051. Let p be (-4)\/(-42)*(-6 + 45\/10). What is the closest to 0 in j, p, 14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6806, 7045, 7284, 7523, 7762, 8001?\n\"Answer: 239*g + 6567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*g**2\/4 + 3522159*g - 2012664.\nAnswer: 3*(g + 670888)*(7*g - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 - -4. Let s(f) = f**3 + 9*f**2 - 10*f + 1. Let n be s(-10). Let o be n\/1 - (-9)\/(-6). Which is the closest to -0.1?  (a) v  (b) -1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*j + 289 = 17 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z + 9. Let u be q(6). Let x(t) = 4*t - 24. Let l(s) = s - 3. Let i(y) = -22*l(y) + 2*x(y). List the prime factors of i(u).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**30*x*(x\/x**(-19)*x)\/x)\/(x**(-32))**(-1\/9) assuming x is positive.\nAnswer: x**(427\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w + 10. Let o be s(-7). Suppose -o*a + 12 = a. Solve -2\/7*q + 6\/7*q**a + 4\/7 - 8\/7*q**2 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*o**2 + 29*o**2 + 30*o**3 - 5*o + 5*o.\nAnswer: 30*o**3 - 30*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**6*x*x*x**(-4)\/x*x)\/(x\/(x*x\/(x\/x**4))*x*x*x**3)*((((x\/(x**(2\/5)*x))\/x)\/x)\/(x*(x\/x**(-5))\/x))\/(x*(x*x\/x**0)\/x)**(5\/3) assuming x is positive.\nAnswer: x**(-296\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 6*z - 3. Let j(c) = -5*c - 6*c + 16*c - 2. Let b(u) = -3*j(u) + 2*w(u). What is the units digit of b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - 8*p**2 + 12*p + 29. Let g be r(-9). Let q(t) = 8*t - 9. Let v be q(g). Solve 0 = -3*j + v*j + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -701*r**4 + 38*r - 1 wrt r?\nAnswer: -8412*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 44958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/7?  (a) -1\/5  (b) -2925  (c) 3\/628\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*c = -304 + 432 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 26 - 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -10010101?\nAnswer: 10010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*2*sqrt(2057) - (sqrt(2057) + -1 + 1).\nAnswer: 121*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t*t**6)\/t**(-2))\/(t\/t**0)**(3\/11) assuming t is positive.\nAnswer: t**(118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0311 times 26644?\nAnswer: 828.6284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 602526.\nAnswer: 2, 3, 137, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 329570, 659282, 988992, 1318700, 1648406?\nAnswer: 1978110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -401 + 413. Solve -5*c - g = -11*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 5*d**2 - 3*d + 2. Let b be u(4). Suppose -r - n = -5, 4*n = 3*r - 0*r + b. Solve j = r + 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1420534769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*w - 23*w + 16*w**3 + (-2 + 0 + 1)*(3*w**2 - 3*w**2 - 2*w**3))*(w + w + 4 - 3).\nAnswer: 36*w**4 + 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 886848 - 23*y - 886848 - 2*y**2.\nAnswer: -2*y**2 - 23*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 + 2*a - 25. Let y be u(-6). Is (10\/1 - 30)*5\/y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 85*o - 4. Suppose j = 5*x + 4*j - 6, 3*x - j = 12. Is a(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1025 = -58*x + 213. Let n(z) = 20 + z + 4*z - 15. Let u(b) = 24*b + 24. Give x*n(v) + 3*u(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3 = 0, z - k - 3 = -2. Let l be 2\/z*72\/(-12) - -56. Let t = 14 + l. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 97\/291 + (-22)\/(-6). Suppose 0 = -2*u, 4*u - 20 = z*l - 0*u. Sort l, 34, -1, 1.\nAnswer: l, -1, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3600415 and 2695.\nAnswer: 277231955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -31 + 60. Suppose 3*h - g = 5*m, 6*h - 2*h = -5*m - 8. Suppose -30723 = -h*q - 285723. Round q to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 5*h - 2 - 18, -5*h = -2*a + 1. Let k = a - -10. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w - 6 = -2*w - 3*r, 5*w - 5*r + 10 = 0. Which is the smallest value?  (a) -4  (b) w  (c) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26 - 16. Let q = 365 + -358. Let v = k - q. Solve v*x = 4*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*w + 2*w + w)*(2 + 3*w - 4*w - 4*w) in the form i + z*w + c*w**2 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-153)\/(-510)*10\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 678 and 7684?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 4*p - 0*p + 56, -2*p + 26 = u. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2849.24 times -8?\nAnswer: 22793.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (((-42)\/40)\/(114\/304))\/((-82)\/5). Which is the third smallest value?  (a) 0.2  (b) -0.1  (c) 2  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -238*s + 8085 = -223*s. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 461 - 454. Solve -4*t = 5*u - 25, -2*u = 2*t - o*t - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.240533 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 28 = -2*c. Let b be 10\/(-60)*(c + 0). What is the closest to 3 in -1\/3, 2\/11, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5 + (5 + (2 + sqrt(117))**2 - sqrt(117)) + (-3*sqrt(117))**2 + -5 + -1.\nAnswer: 9*sqrt(13) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bqb when three letters picked without replacement from {c: 3, q: 2, i: 2, b: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 19 = -3*v - 4, 4*v - 44 = -4*h. Calculate the common denominator of 166*(-1)\/h - -4 and 97\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-177407)\/(-50676) + 42\/(-12). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 529255 and 17525.\nAnswer: 3505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h + 4 + 361*h - 8 + 2.\nAnswer: 362*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 233076 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26 and 58102928.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1107, 2198, 3291, 4386?\n\"Answer: p**2 + 1088*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnhh when four letters picked without replacement from rhrrrgnrrgrnhrrrrhrr.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d6 - -3e?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2101068162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 23066557, 92266232, 207599023, 369064930?\n\"Answer: 23066558*w**2 + w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3424 and 856?\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of -2*(-2)\/6*9 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-19)\/1 - (-3172)\/122. Solve 40 - 33 = i*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssssssesesss. Give prob of picking 2 s.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6303.868 in 0.1, 8, 0.2, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3839, -4205, -4817, -5675?\nAnswer: -6779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -1110101101010010110?\nAnswer: 1110101101010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -2*p + 188502, 0 = -g - 39*p + 44*p + 94221. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, n: 1, r: 2, h: 6, l: 4}. What is prob of sequence ss?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.953283 millilitres to litres.\nAnswer: 0.000953283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 6, v: 4, b: 2, u: 4, j: 1, c: 2}. What is prob of picking 2 u and 2 c?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -s**5\/30 + 23*s**4\/9 + 151*s**3\/9 - 196*s**2\/3 - 1861*s. Factor f(g).\nAnswer: -2*(g - 49)*(g - 1)*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = 4*h - 3*l + 49, 0 = 5*h - 5*l - 5. What is the least common multiple of h and 19?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*a = 45*a. Suppose -22*k + 1979 + 199 = a. Solve -k*m = -96*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of 0 + l**2 + 1\/8*l**4 + 0*l**3 + 1\/20*l**5 + 0*l. Factor b(x).\nAnswer: 3*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73845*m**2 - 52248*m**2 - 21595*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102 = 3*a - 6*a. Let k = a - -22. Let y = k + 72. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -4*a - 11 - 0, -3*a - 12 = 2*h. Let n(l) = l - 8*l**2 - l**2 - 5*l**3 + l. Is n(h) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 bigger than 0.0329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9915.\nAnswer: 3, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.160221521 rounded to 5 dps?\nAnswer: -0.16022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5 + 2\/(-2 + 4). Let j be (0 + u)*24\/(-9). Let v(c) = -c**2 - 20*c - 2. What is the units digit of v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 9*f + 30. Let n(u) = -u - 1 - 3 + 2 - 1. Let p(i) = -2*m(i) - 21*n(i). What is the first derivative of p(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 85*y**2 + 615*y**3 - 335*y**2 - 438*y**2 wrt y.\nAnswer: 3690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -220*v - 66*v = -137*v - 2533 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 8, 0, 1\/31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 3*j + 1, -u - 2*u - 2*j = 19. Let l = 2 - u. Suppose 2*i - l = -5. Which is the second smallest value?  (a) -4  (b) -2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.23 and -3.\nAnswer: -3.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 0.09894.\nAnswer: -0.019788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z. Let a(o) = 16*o + 2. Calculate -2*a(q) + 36*k(q).\nAnswer: 4*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -59*l**3 - 4*l - 22. Let c(g) = 61*g**3 + 5*g + 21. Let o(n) = -2*c(n) - 3*d(n). What is the first derivative of o(i) wrt i?\nAnswer: 165*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d - 161 + 17 = 0. What is the nearest to 1 in -2, -5, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -4*l**3 - 17*l**2 - 6*l - 3. Let y(o) = -o**3 + o**2 - 3*o - 1. Calculate -m(n) + 2*y(n).\nAnswer: 2*n**3 + 19*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-2)*((v\/v**(-5))\/v)\/v)\/(v**5\/v**(2\/5)))**(2\/31))**(-19\/6) assuming v is positive.\nAnswer: v**(247\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 3*j - 27 = 0, -14*l - 22172278*j - 89 = -22172273*j for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3871962 a multiple of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*k = -23*k + 28. Let f(m) = 22*m**2 - 5*m + 8. Let y(b) = 33*b**2 - 7*b + 12. Let x(l) = k*f(l) + 5*y(l). Differentiate x(s) wrt s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2662 and 2664 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**3 + 150*y**2 + 15812*y = 0. Calculate y.\nAnswer: -59, 0, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -877*g**6 + 80*g**2 wrt g?\nAnswer: -105240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 + 11. Let m = -2 + 2. Let a = 1 + m. What is the nearest to a in -1, -2, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7746.307 decades in months?\nAnswer: 929556.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 105\/58 and -62\/3?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6712  (b) -3\/11  (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 41067071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1470413 or 1470414?\nAnswer: 1470414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v + 10*v = 4. Let p be (-1 - -2)\/((-1)\/v). Solve 10 = -p*q - q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13 + 8. Let c(w) = -w. Let v be c(d). Solve 4*t - k - 9 = -1, v*k + 10 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4738 and 36.\nAnswer: 85284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, o: 3, m: 2, p: 2, w: 1, i: 3}. Give prob of picking 3 o and 1 p.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5259\/2561 or 1?\nAnswer: 5259\/2561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is z in z**5\/11 + 159*z**4\/11 + 5912*z**3\/11 - 32312*z**2\/11 + 53136*z\/11 - 26896\/11 = 0?\nAnswer: -82, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from kmmkkmkpfkfkpkfkk.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.595904 to 1 dp.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 AM and 1:17 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/181220 and -11\/1360?\nAnswer: 724880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51 + -55 + (-1 - 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4472 and 975.\nAnswer: 335400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u**3 + 4*u**2 + 2*u - 13. Let n(w) = -4*w**3 - 9*w**2 - 4*w + 28. Let x(c) = 13*f(c) + 6*n(c). What is x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -r**5\/24 + 4*r**3\/3 - 5. Let p(h) be the third derivative of b(h). Let c be p(-1). Solve -4*w + 1 = c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -236 + 274. Calculate the remainder when y is divided by (-1 - -7)*(-14)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3*u - 4 = 2*p, -3*u = 2*p + 8. Let t be (6 + p - 5)*-4. Solve -3*y + 2 = -l, -5*y = 3*l - t - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.5 - -1.1. Let z = r + -0.1. Let k = 0.3 + -0.1. What is the closest to -0.1 in z, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/40 less than or equal to 49291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 303679477.\nAnswer: 113, 631, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 130272 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**4 - 20*c**3 - 34*c**2 + 20*c + 22. Suppose 0*g = -5*g + 5. Let p(d) = -2*d**2. Let x(n) = g*y(n) - 5*p(n). Let x(k) = 0. What is k?\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 = 31*f + 70 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 (base 14) in base 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5253258 is divided by 1053.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2631033488 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y + 2 - 1 + 2*y)*(2 - 1 + 0).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 0 + sqrt(162) + -1)**2 - (-3 + (sqrt(32) - (-1 + sqrt(32)))**2*-2).\nAnswer: 72*sqrt(2) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 27800 divided by -38\nAnswer: -13900\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*(-4)\/((-28)\/(-5957)) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -t + 5*t. Solve 8 = -0*i - 2*i, -k = t*i + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34983 - -98845.02894\nAnswer: 133828.02894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ikq when three letters picked without replacement from pivkpqzv?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + 7 + 12 + (2 + 6 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b - 3. Let p(i) = i + 1. Determine -j(m) + 2*p(m).\nAnswer: 3*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -645*n + 814*n = 796*n + 67137 + 5595 for n.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 2*a + 5. Let h be j(-8). Sort 0, h, 1 in ascending order.\nAnswer: h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8661.7106 rounded to the nearest one hundred?\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 808136, 808121, 808104, 808085, 808064, 808041?\n\"Answer: -q**2 - 12*q + 808149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -5. Suppose 11 = w*k + 1. Let d(a) = -k*a**2 + 2*a**2 + 2*a**2. Let c(i) = -5*i. What is c(d(n))?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pspsjsts. Give prob of sequence js.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-75)\/(-12))*(-5)\/6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19469 - 38936 + 19424 + 4*i**3.\nAnswer: 4*i**3 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b + 15 = 59. Let m(p) = 2*p**3 - 8*p**2 + 4*p - 10. Determine m(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.185 - -0.285. Which is the third biggest value?  (a) -2  (b) q  (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of k*o**3*w**2 + 10*k*o**3 - 3*k*o**2*w + 2*k*o*w**2 + 9*k*w**2 + 5*k wrt o.\nAnswer: 6*k*o*w**2 + 60*k*o - 6*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 980 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**2 + 5*s + 32. Let i be n(-6). Suppose 3*v + 2*g - 3 = 0, -6*v + v + 9 = 2*g. Put i, v, 5 in descending order.\nAnswer: i, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9250 and 500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 0 + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -4\/1585?\nAnswer: -4\/1585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -171 in -51, -34, -0.097?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -114 + 132. Calculate the highest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 13 + 4 - 20 + 8378*l.\nAnswer: 8378*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 221762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -3*g - 5*u, -5*u + 68 - 58 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a century in years?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + 1 - (-101 - 28). Is 130 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1507 and 548.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 90613, 91369, 92127, 92887, 93649?\nAnswer: 94413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 390 and 21870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((32\/(-20))\/((-1068)\/445))\/((-3)\/(-342)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -18*y**2 + 2*y. Let g(r) = 27*r + 106. Let o be g(-4). Let c(q) = -q**2 + q. What is o*c(v) + w(v)?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 231 or 224?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -6*p + 4. Suppose -35 = -5*q - 10. Suppose 5*g + 75 = 9*g + q*s, g + s - 19 = 0. Suppose -m - 24 = -g. Give k(m).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 19*v + 15. Let d(z) = 9*z + 7. Let f(k) = -7*d(k) + 3*n(k). Suppose -3*q + 5 = -2*r, -r - 2 = -16*q + 14*q. Determine f(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 + 2*n + 13. Suppose c + 3*c = 2*d - 30, c - 20 = -2*d. What is the tens digit of x(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 6866*m + 6855. Calculate c(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -2*x**3 + 7*x**2 - 19*x + 5. Let u(j) = -2*j**3 + 6*j**2 - 20*j + 4. Let h(a) = -4*p(a) + 3*u(a). Determine v so that h(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -27, 4\/7, 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.500465mg in micrograms?\nAnswer: 7500.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {p: 6, a: 1, b: 3, y: 4, u: 3, i: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*s + 38 = 69*s. Calculate the remainder when 49 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 - -88. Suppose -312 = -z - k. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236231095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 47\/4 of a gram in milligrams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5534 - 33209\/6. Let b = 19 + -8. What is the closest to 0.1 in v, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 666, 4, -5, -12 in ascending order.\nAnswer: -12, -5, 1, 4, 666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 6*a = -1850. Let h = 185 - a. What are the prime factors of h?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -56070.694 to the nearest 10.\nAnswer: -56070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -715 + 522. Which is smaller: -7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 4462 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, -1, -3 in descending order.\nAnswer: 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 + -102?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*p - 2 = -47*p. Solve -p*d = -7*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.433 - 6.537. Let x = 2.97 + c. Put 3, x, -2 in decreasing order.\nAnswer: 3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8156274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1721*n**2 + 3417*n**2 - 1687*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.132664095 rounded to 4 dps?\nAnswer: 0.1327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -3\/8, 51 in increasing order.\nAnswer: -3\/8, 1\/5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-26))\/((-1440)\/(-96)*120\/(-650))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l**2 + 193*l + 2402. What is h(-75)?\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-121)\/11 + (1 - -143)\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, q: 4, e: 1, r: 3}. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16960395\/497 - 34125. Let i = d + 2\/71. What is the fourth biggest value in 11, i, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*j*t**4 + 2*j*t**2 - 666*j*t + 356825*t**4 - 30*t**2 - 4*t + 1 wrt t.\nAnswer: 144*j*t + 8563800*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + aab9074?\nAnswer: aab9076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2634.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 812038, 1624064, 2436090?\n\"Answer: 812026*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/3 and -3\/483247.\nAnswer: 1449741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 - 223775*z - 223780.\nAnswer: 5*(z - 44756)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 648 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*c**5 - 3582*c**4 - 24340*c**3 - 28160*c**2 + 49088*c - 12288 = 0. Calculate c.\nAnswer: -192, -4, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 4*q - 5*q - 299 + 2*q**2 - 2*q + 295. Let p(m) = 3*m**2 - 4*m - 5. Suppose -5*w + 4*t + 29 = 0, -6*t = -9*t - 3. Calculate w*u(s) - 4*p(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1001, 2052, 3103?\nAnswer: 4154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - 2.94. Sort -3, x, -1.\nAnswer: -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 499*x + 1425. Give l(-3).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 8 + 9 - (-6 - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1931283 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1033\/12 + -297\/4. Let h = -23\/2 + f. Suppose 2\/3 + h*x**5 + 2\/3*x**2 + 4\/3*x**3 - 4\/3*x**4 - 5\/3*x = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/801, -1\/2, 2\/11, 1.3?\nAnswer: -2\/801","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1474, 5565, 12228, 21457, 33246, 47589, 64480, 83913?\n\"Answer: -z**3 + 1292*z**2 + 222*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + 2*s - 6*s)*(-126*s - 2 + 126*s - 4*s**2 - 8*s**3).\nAnswer: 32*s**4 + 16*s**3 + 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36839 and 34672?\nAnswer: 2167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q**2)**20)**(-47))**(-37))**(-9) assuming q is positive.\nAnswer: q**(-626040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*p = 25 + 53. Solve 2*a + 2 = -0*a + p*g, 5*g = -3*a + 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h**3\/5 + 3744*h**2\/5 - 746*h - 22452\/5 = 0 for h.\nAnswer: -2, 3, 1871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -127.59 * -0.2\nAnswer: 25.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**24*r)\/(r\/(r**6\/r)))**(-17))**(12\/5) assuming r is positive.\nAnswer: r**(-5916\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(1 + sqrt(5)) + sqrt(20)\/(sqrt(4)*3))**2.\nAnswer: 16*sqrt(5) + 401\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102 (base 9) to base 7.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20200102 (base 3) to base 2.\nAnswer: -1001100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1880.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*l + 14*l + 20*l - 64*l + 11*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 - 2*u - 1. Let g be v(-1). Calculate the common denominator of 37\/50 and 288\/252 + -4*(-1 + g).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**2 - 6*r**2 + 5*r**2 + (2 + 0 + 0)*(286*r**2 + 2*r - 7*r + 3*r).\nAnswer: 573*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-14)\/(-4) + 3\/(-6). Suppose d*r - 34 = 6*n - 2*n, -r - 10 = 4*n. Suppose -109 - 11 = -4*h. What is the greatest common factor of h and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*b + 13*b + 226*b**3.\nAnswer: 226*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/6?  (a) 4  (b) 0.1  (c) -125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*f - 4*l, -f - 6*l + 2*l - 17 = 0. Let d be (f\/(-9))\/((12\/(-4))\/(-9)). Sort d, -19.3, -1\/4.\nAnswer: -19.3, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 10, 151876, 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 5*k + 402. Let b be z(-18). Let v be (-4)\/1 - (7 + 2). Which is greater: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -462, -930, -1398?\n\"Answer: -468*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -13. Suppose 0 = -3*w + m + 274, 2*m + 451 = 5*w - a. What is the remainder when w is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 442 + -493. Sort 3, k, -5.\nAnswer: k, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(612) + (sqrt(612) - (sqrt(612) - (sqrt(612) + 3 - sqrt(612))))**2*1 - (4*sqrt(612) + 1 - sqrt(612))) + 2.\nAnswer: -24*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010 + 10000?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 3294067\nAnswer: -3294066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-8)*5\/(60\/8)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 + q - 2. Let w(d) = d. What is -m(l) + w(l)?\nAnswer: -l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10320 and 107865.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let t be 3*(-2 - (-6)\/2). Let g(y) = 5*y**2 + 6. Is 13 a factor of g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, t: 5, a: 6}. What is prob of picking 3 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -63700974 + 63700974 + 2*n. Let y(w) = 18253*w. Calculate y(f(g)).\nAnswer: 36506*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 2 + (13 - 19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = -9*c + 9540. Suppose 172 = 8*o - c. Calculate the remainder when o is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 20\/19  (b) -1\/164  (c) -2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1650 - 1000. Let c = u + -650.000000329. What is c rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**2 - 11*l + 6. Let h be i(7). Let z = h - -242. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 218 = y + 217. Let q(d) = 98*d + 2. What are the prime factors of q(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - c = 8, -i - 2 + 6 = -c. Suppose -2*k - 3*k + 20 = 0. Put k, 1, i in descending order.\nAnswer: k, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -4*g + 16, -g - 11 + 0 = -4*x. Let i = 9 - g. Suppose -4 = -4*v - i. Calculate the greatest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*k + 22*k**2 - 45*k**2 + 26*k**2.\nAnswer: 3*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 12*x - 3. Suppose 4*j - 45 = 5*p, 3*j - 4*p = 7 + 28. Suppose 0 = -j*s + 4*s + 1. What is the units digit of h(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of a**5\/60 + 53*a**3\/3 + 2*a**2 - a. Let y(j) be the first derivative of w(j). Does 33 divide y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1439756 is divided by 280?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 172\/20 - 16\/10. Solve -u*l - 6*z = -9*z + 7, -2*z - 4 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x - 118 = -9*x. Let m = -36 + x. Let d = 117 - m. List the prime factors of d.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -20280937.69 to the nearest one hundred thousand.\nAnswer: -20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1022078 or 1022076?\nAnswer: 1022078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.9 - -3. Let w = -0.4 + d. Let q = 0.29 + 0.21. Which is the nearest to 0?  (a) -2\/5  (b) q  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 28*x**2 + 27*x - 56. What is q(-29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/18*5886\/(-872)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 + 20*y**2 - 20*y + 1. Give i(19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 1120*b**2 + 77. Let m(q) = -43*q**2 - 3. Let w(o) = -154*m(o) - 6*p(o). Let s(h) = 2*h**2. What is s(w(a))?\nAnswer: 19208*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 543 + 2?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**2 - j**2 + 3*j**2)*(j - 3*j + 4*j) + (18*j - 6*j + 2*j)*(5*j**2 - j**2 - 2*j**2).\nAnswer: 30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the third derivative of -t**6\/120 + t**5\/10 + t**4\/24 - 4*t**3 + 2*t**2 + 38*t. What is the units digit of d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/88748 and -113\/15224316.\nAnswer: 167467476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2543 minus 3.98?\nAnswer: 2539.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -86, -262, -428, -578, -706, -806?\n\"Answer: c**3 - c**2 - 180*c + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y + 2*y + 132 - 139. Determine i(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/11*q**3 + 0*q**2 + 0*q + 0 - 2\/11*q**4.\nAnswer: -2*q**3*(q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90, -185, -284, -387, -494, -605, -720?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88663 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29.96 + -30.16. Which is the fourth smallest value?  (a) 3\/5  (b) -4  (c) -14  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16.29 + 15.79. What is the closest to 2\/5 in -0.4, -2\/7, -0.07, x?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1347, 213 in ascending order.\nAnswer: -1347, -2, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (3*(0 + sqrt(2048) - sqrt(2048)) - (sqrt(2048) - (sqrt(2048) + 1)*2)) + -2)**2.\nAnswer: -192*sqrt(2) + 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 + 68*o**2 - 211*o + 106. Determine y(-71).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 46.24 + -47. Let z = v + 0.759898. What is z rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -38112 - -38107. What is the nearest to 2\/7 in -2\/11, m, 0.2, 19.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1902592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffbfbfffblfblfb. Give prob of sequence ff.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - 5 - (-12 + 10). Let n = 11 + r. Solve -25 = n*o - 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -802674*w**3 + 34*w**2 - 950*w + 15421 wrt w?\nAnswer: -4816044*w + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-0.5252604.\nAnswer: 0.5252604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 35391414, 70782830, 106174246, 141565662, 176957078, 212348494?\n\"Answer: 35391416*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*x - 7020 = -0*x. Let d = 299 - x. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**3 + 13*o**2 - 22*o - 34. Calculate j(-7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h - 6 + 6 + 4 - 13*h - 4 + 2*h - h + 0*h + (-1 - 2*h + 1)*(5 - 4 + 1) - 2*h + 5*h - h - 2*h + 2*h + h in the form n + v*h and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -3*l - 6. Let m be v(-5). Solve -2*r - 1 = -m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-6)*(207\/18 - 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 48*n - 43*n. Let h be (10\/(-5) - (-2)\/n)*4. Let b(g) = g**2 + 2*g - 7. Determine b(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 6:17 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 4*a + 5256 = 0, 6*y - 4*a + 13128 = 11*y. Calculate the least common multiple of y and 8.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.05 - 0.45. Suppose 50 = -12*v + 7*v. Let c be (16\/40)\/(14\/v). What is the biggest value in m, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -26536431 and -0.3?\nAnswer: 7960929.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3112021003 - -4?\nAnswer: -3112020444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -6 - 1 - (29 + -32)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from yiiiiyi.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 6:33 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13021515210 + -5?\nAnswer: -13021515215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -5. Let m be (8\/n)\/((-2)\/3). Solve 3*x - 8 = -x + 5*c, -4*x + m*c = -8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 - 5*v**2 + v - 6. Suppose -4 = q - 2, -3*l - 40 = 2*q. Let j = l + 18. Let w = j + -1. Determine t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, 20.4336 in decreasing order.\nAnswer: 20.4336, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*w + 11. Suppose -5*k + k = 2*l, 4*k = -l - w. What is the greatest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*r**5 + 2211*r**3 + 202*r**2 - 29 wrt r.\nAnswer: 120*r**2 + 13266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**2 + 259*v - 2502. Give l(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3*s**2 - 2*s. Let c(r) = 2*r**2 + 2. Calculate c(g(w)).\nAnswer: 18*w**4 - 24*w**3 + 8*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from fexfefffefxefe.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 4165414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 1. Let d(l) = 2*l**3 - 1. Let q be d(-1). Let s(y) = y - 1. Let p(r) = 2*r + 4. Let i(f) = p(f) - s(f). What is q*a(v) + i(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 4 = -4*d, 0 = -5*y + 2*d + 3*d + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 PM and 10:40 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of 23*v**6\/12 + 4*v**5\/15 - v**4\/24 + 57*v**2. Find the third derivative of q(d) wrt d.\nAnswer: 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1\/3)\/a**(-27) assuming a is positive.\nAnswer: a**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:41 PM and 3:33 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -16607, -16574, -16517, -16436, -16331, -16202?\n\"Answer: 12*o**2 - 3*o - 16616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0129 in 1, -12, 5\/6, -2, 5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 12*t + 5. Let r(b) = 3*b + 1. Let d(x) = p(x) - 3*r(x). Let k(m) = -m**2. Determine k(d(v)).\nAnswer: -9*v**2 - 12*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 2)*(2*c**3 - 4*c**3 + c**3) + (-c + c + 2*c)*(96 - 8*c**2 - 96).\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1 + sqrt(13)) + -4*-1*sqrt(13).\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1126\/3 - 372. Find the common denominator of l and 25\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1087 + 1091. Solve 7*b = -5*y + 2*b - 20, -x*b - 9 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 + 0*l**2 + 4*l**2)*(4*l**3 - 5*l**3 - l**2 + 4*l**3).\nAnswer: 6*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 75\/7*h**2 + 3\/7*h**4 + 81\/7*h + 27\/7*h**3 + 30\/7 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44 and 69192\/84 + 20 - 2\/(-7)?\nAnswer: 9284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 237837?\nAnswer: 3, 79279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the third derivative of 0*z**4 + 0 - 12*z**2 + 0*z + 1\/30*z**5 + 0*z**3. Let b(y) = y. Calculate b(c(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2146 and -22.\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -5\/11  (c) -0.4  (d) 5  (e) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 44*s**3 + 3*s**2 - 7*s + 4. What is the tens digit of k(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1510334185 to the power of 1\/3, to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5387 + -3717. Let q = -7800 + 1870. Let a = q - l. What is a rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -952*m - 147*m - 12146 - 13131 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-9)\/t)**(-36) assuming t is positive.\nAnswer: t**324","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three sixteenths of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04892 plus 4?\nAnswer: 3.95108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 530894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 38*u**2 - 8889*u + 76293. Determine c(225).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -950f4 + 1c?\nAnswer: -950d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**7*m)\/m**9*(m\/(m\/(m**(1\/6)\/m)))\/m*m*m**6*m assuming m is positive.\nAnswer: m**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -48*a**4 + 816039*a**2*g - a*g + 31*a - 19*g - 65344 wrt a?\nAnswer: -576*a**2 + 1632078*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4157278593?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5*-1*(2 - 5 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*c**2 + 32*c**2 - 23*c**2 + (-c - 3*c + 3*c)*(0*c + 3*c - 5*c) to x*c + n*c**2 + s and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 156873 + -72\nAnswer: 156801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i - 7041 - 6*i + 7048)*(5*i**2 + 0*i**2 + 2*i**2).\nAnswer: -35*i**3 + 49*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 + 8. Suppose n = 22 - 6. Suppose 3*h - b*k - 37 = 0, -h + 0*h = 5*k + n. What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.3 + 5.4. Let h = x - 3. Suppose -162*d - 85*d = 549 - 55. Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76 = -33*m + 208 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1162098 is divided by 387363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -70*o. Let i be r(-2). Find the first derivative of i + 0*z**4 - 128 + 8*z**4 wrt z.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = -5*i - 11 + 29, i - 3*n = -6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 92925, 185849, 278773?\n\"Answer: 92924*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12605.3628 + 12608. What is o rounded to 2 dps?\nAnswer: 2.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 351, 464, 579, 696, 815?\n\"Answer: t**2 + 110*t + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -27*u - 134. Let p be z(-7). What is the derivative of -231*c**2 + 58*c**2 - 129 - 78*c**2 - p*c**2 wrt c?\nAnswer: -612*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 - 5*l**2 + 5*l + 3. Let h be z(4). What is the first derivative of 4 + k - k - h*k wrt k?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 10929 and 11.\nAnswer: 10940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -367 + 1311. Suppose 20*c - v = 12*c. What are the prime factors of c?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (-1074)\/45) + (1075\/(-375) - -3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -29476753.5 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 50 - 46. Suppose -b = 2*y + 244, -p*b + y = 255 + 703. Let n = b - -339. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -84, -203, -322, -441?\n\"Answer: -119*c + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.4007 + -23.2533. What is q rounded to 1 decimal place?\nAnswer: -23.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2584841620 rounded to the nearest 1000000?\nAnswer: 2585000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of -9*x**2 - 113*x + 1890. What is y(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4209 times -4?\nAnswer: 1.6836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 8:18 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -86, 1, 24\/1235 in increasing order.\nAnswer: -86, 24\/1235, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -155\/966 and 57\/875.\nAnswer: 120750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - r**2 - 2*r - 8. Let a(n) = -3*n**3 - 224*n**2 - 17. Determine a(t) - 2*x(t).\nAnswer: -t**3 - 222*t**2 + 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 3*v - 60 = 0, -v = -c - 0*c + 54. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q + 5. Suppose 2*t = -2*t - 20. Let r(z) = 5 + 0 + 2 - 2. Let p(s) = t*u(s) + 6*r(s). Differentiate p(i) with respect to i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31 + -43 + -1 + 11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**2)**(1\/8)*r*r*r**(2\/11)*r*r\/r**(-6\/5) assuming r is positive.\nAnswer: r**(1239\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s\/(s**1*s)))\/s)**11*s**(2\/21)*s\/s**4)**(4\/7) assuming s is positive.\nAnswer: s**(680\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2 + 8287025*f - 8287026.\nAnswer: (f - 1)*(f + 8287026)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/27 or 264187?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 459*n**5 + 14682*n**4 - 48387*n**3 + 2466*n**2 + 64236*n - 840 = 0.\nAnswer: -35, -1, 2\/153, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001468478427 rounded to 7 dps?\nAnswer: 0.0014685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10829 and -26.\nAnswer: 281554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 154 a factor of 883880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 64613783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (7722\/30)\/3 - (-8)\/(-10). Suppose 118 = 7*t - 3*t - 2*u, 3*t - 5*u - b = 0. Suppose 0*y + 3*y = 0. Solve 5*g = -y*a + 5*a + t, -2*g + 5 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -631 divided by 7\nAnswer: -631\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 6. Let i be 2\/(-4)*v\/(-1). What is the third derivative of 2*s**2 - 3*s**3 - s**i + 0*s**2 wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -27  (b) 4  (c) -3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 7, i: 3, x: 4}. Give prob of picking 1 x and 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, w: 1, m: 4, t: 1}. What is prob of picking 1 w, 1 s, and 1 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -44*u**4 - 3*u. Suppose -10 = 4*l + 22. Let a(n) = 131*n**4 + 9*n. Let h(x) = l*p(x) - 3*a(x). Find the second derivative of h(r) wrt r.\nAnswer: -492*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ukcrk. Give prob of picking 1 u and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4.9  (b) 0.5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 187200235*w**2 - 200885276*w wrt w.\nAnswer: 374400470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 0.3, -0.1, 1.9, -76, 4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4*m - 5269 = -0*j, m - 5274 = -j. Suppose -18362 = -z - 3089. Let n = j - z. What is n rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21*f**2 + 3 - 1 + 3 + 5*f - 1 wrt f?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12486413 is divided by 59459.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57958 is divided by 546?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1802 divided by -554?\nAnswer: -901\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rdrcccccddrccdcdr. Give prob of picking 3 c.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 104691042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**3)**(-1\/3)*((l**(2\/3)*l)\/l)**(-27\/5) assuming l is positive.\nAnswer: l**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -24.7 + 26. Let m = c - 1.6. Let f = 5.87 + 0.13. Sort -1, m, f in decreasing order.\nAnswer: f, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96943615?\nAnswer: 5, 19388723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34*q**3 - 54 + 27 + 26 + 2*q**2 - 3*q**2 to the form f*q**3 + t*q**2 + i*q + o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 6791 = 3*f, f - 6789 = 4*f - 3*i. Round f to the nearest ten.\nAnswer: -2260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -80 by 1232.\nAnswer: -5\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 163967 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6732667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 4 - 6)*(-k + k - 89*k**2) + (-3*k + 2*k + 3*k)*(-4*k + 4*k + 2*k) in the form b + g*k + a*k**2 and give a.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, l: 14}. What is prob of picking 1 d and 1 l?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -4*b - 111. Give k(-33).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*k**3 + 0*k - 4\/5*k**2 + 2\/5 + 2\/5*k**4.\nAnswer: 2*(k - 1)**2*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 608 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*k - 2*k + 4*k)*(1261*k + 875*k**2 - 1261*k) in the form m*k + j*k**3 + l + o*k**2 and give j.\nAnswer: 1750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 3*t + 8. Let p = 21 + t. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 2*i**2 - 6*i. Calculate j(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + -1 + (2 - -4). Suppose z - j + x - 2 = 0, 9 = -3*z + j. Is (-1225)\/(-10) + z\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-46)\/(-437) + (-180)\/266?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16749.01 + 16749. Let u = -0.1 + 0.5. Which is the closest to k?  (a) -5  (b) u  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + s**2 + 14. Let b be t(0). Suppose -1 = -n - 4*x, -12*n + 9*n = -4*x - 19. Suppose -5 = -n*a, 2*w + 5*a - 87 = b. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 400?\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 120076945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {r: 2, b: 1, w: 1, u: 2, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 0 + 27 + -35 + (-3 - 4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*g - 29*g + v = -125838, -5*v + 5 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10686367 divided by 5483\nAnswer: -1949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 22*o**2 - 38*o**2 + 20*o**2 + 23*o**2. Let q(u) = 24*u. Determine a(q(i)).\nAnswer: 15552*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(150)\/sqrt(3))\/sqrt(10))**2 + 2 + sqrt(245) + 0.\nAnswer: 7*sqrt(5) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k. Suppose 0 = -0*p - 7*p + 364. Let l = p - 47. Let r(x) = 6*x**2 - l*x**2 - 29*x**2. Calculate r(n(d)).\nAnswer: -112*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 31218972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/4 or 2?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 11*z + 1 - 3 + 4 + 5. Let g(o) = 5*o + 3. Give -3*f(p) + 7*g(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 6119, 5886, 5655, 5426?\n\"Answer: v**2 - 236*v + 6354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*d - 12*d - d**2 + 0*d - d + 17*d + 0*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(((o\/(o*o**(-1)))\/o)\/o))\/o)\/o*o*o\/(o**(-21)\/o))\/(o**(-4\/11))**(1\/5) assuming o is positive.\nAnswer: o**(1324\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -187 - -5?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ygggygrgvvgvgrgvrg.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 11:53 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 7) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1302391 divided by -6.\nAnswer: -1302391\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 12:56 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence phz when three letters picked without replacement from {o: 4, g: 1, z: 2, p: 2, q: 5, h: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 - 20220201?\nAnswer: -20220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -54410725 and 0.21.\nAnswer: -11426252.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1189446\/9 + 72\/(-108)*(-2)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-9)\/z**(2\/7) assuming z is positive.\nAnswer: z**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 8690  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 29.84 and -0.081.\nAnswer: 29.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 AM and 11:46 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*t - 17*t - 27*t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1305019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7083*y + 7120*y - 2*b = -97, -27 = 4*b + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 37 + -28. Suppose 0 = -9*k + z - 0. Solve -k = 3*t - 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -56245 less than -56246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5986, -6009, -6038, -6067, -6090, -6101, -6094?\n\"Answer: r**3 - 9*r**2 - 3*r - 5975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/6 - (-385)\/105. Solve 4*o = -h - h + 8, -y*o = 4*h - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 3*i - 7. Let z(p) = -2*p**2 - 5*p + 15. Let k(g) = 5*x(g) + 3*z(g). Let v be k(0). Suppose j - 10054 = -v*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010101100100 + -11?\nAnswer: -1010101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 129*d - 1061. Determine v(9).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 7:20 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 30013424 (base 5) to base 9\nAnswer: 388024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -75 + 72 - (0 + -3) - -22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooob when four letters picked without replacement from {y: 2, g: 4, o: 5, b: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -78*p**2 - 463*p. Let c(h) = -h + 886. Calculate c(m(t)).\nAnswer: 78*t**2 + 463*t + 886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-1*2) + 1386\/286?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2650.9878 minus -0.2?\nAnswer: 2651.1878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 5*w**2 - 8*w - 5. Suppose -5*k + 23 = -7. Is u(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**3 - 3*k**2 + 3*k**2 + 2 - 2 - 2*k**3 + (-2 + 2*k + 2)*(-2 - 2*k**2 + 2))*(-4 + 4 + 2*k)*(0*k + 0*k + 2*k).\nAnswer: -28*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5209 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -2*p**5 + 6*p**4 + 12*p**3 - 16*p**2 = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/6)\/(c*c**(-8)*c))**(-25)\/(((c\/(c\/(c*c**(-4))))\/c)\/(c\/(c\/(c*c\/c**6))))**(2\/3) assuming c is positive.\nAnswer: c**(-925\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**5 + 31950*m**4 + 51008160*m**3 - 102144160*m**2.\nAnswer: 5*m**2*(m - 2)*(m + 3196)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 109.7, 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/((-2)\/(-4)*(-98)\/49)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 348 and 36?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 807*y + 704*y + 1549*y - 686*y to the form w + v*y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -9415 = -34*w - w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 167 divide 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1068*n**4*o**2 + 145*n**4*o - 1101832*o**2 wrt n?\nAnswer: 4272*n**3*o**2 + 580*n**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000504802947 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(304) + (-1*sqrt(95))\/sqrt(5))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -5*m + 2*x - 3*x, -x = -4*m + 6. Which is the closest to 2\/7?  (a) -0.06  (b) -5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 5*f**3 - 2*f**2 + 6*f - 4. Let w be b(1). Solve -28*a + w = 5*j - 33*a, 4*j - 28 = -4*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 27 = -v + 2*q, 2*v - 49 = -5*q. Let w(a) = 8 + 4 - v - 6*a. Let j(p) = 9 + 14*p - 9 - 17*p. What is j(w(z))?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.41 - 0.61. Let j be ((-22)\/12 - -2)*(-240)\/32. Sort d, j, -2 in increasing order.\nAnswer: -2, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -331*k = -376*k + 810 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i**2 - 33*i - 58. Determine p(19).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -15 + (18 - 15) - (1 + -54 + 17)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 466458 equal to 466467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 7*j**2 - j - 3. Suppose -v - 8 = -12. Suppose 3*r = -v*s - 41, -2*r - 5*s - 9 = 30. Calculate q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3*t + 5*t - 1 - t. Let b(g) = 5*g - 5. Let n(m) = -m**3 - 3. Let y be n(0). Let k be 1*(1 + 6 + y). Calculate k*j(u) - b(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4796 by -10.\nAnswer: -2398\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-12))\/(21\/308)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - 2 + 2)*(-1 + 4 + 2) - 3 - 1 + 6)*(3 - n - 3) to f*n + y and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -18*p + 16*p. Suppose -2*y + 2 = x - 0*y, -p*x = 2*y + 6. Put -5, x, -2 in decreasing order.\nAnswer: -2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 5*l**2. Let h(r) = 12911*r. Give t(h(j)).\nAnswer: 833469605*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u + 39. Let w be r(-23). Solve 0 = -7*q + w + 19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 513258, 513262, 513266?\nAnswer: 513270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 5:48 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3531, -7230, -11297, -15924, -21303, -27626?\nAnswer: -35085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 + -4 + 14 - 6) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -16*r**3 + 5*r**2 - 6*r + 11. Suppose 3 = -4*u - 5, 3*p - 4*u = 2. Let x(f) = 3*f**3 - f**2 + f - 2. Calculate p*n(g) - 11*x(g).\nAnswer: -g**3 + g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -18, -8, -2, 0, -2?\n\"Answer: -2*l**2 + 16*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/156 and -65\/9?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 472247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnmnnlmlnnn. What is prob of sequence mnll?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/12)\/((-2)\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 s when four letters picked without replacement from agaasgsssaa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 6 = -7*f + h, -2*h + 2 = f. Is 5445\/33*(f - (-8)\/(-5)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/43234956 and 76\/465.\nAnswer: 216174780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4038500311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 362*q - 1 + 1 + 254*q.\nAnswer: 616*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -4  (c) 3  (d) 2409\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -9 + 6 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 4*k = 3*g - 15, 3 = g + 2*k. Suppose -g*i + 89 = -154. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 473840997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 2230?\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -218493 - -129493. Round n to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 51300 and 190.\nAnswer: 51300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 - 3*s**2 + 10.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.2, -8\/85, -1, -196.96, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1502 take away -0.348187?\nAnswer: 1502.348187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4491, -4485, -4477, -4467?\nAnswer: -4455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (38\/(-57))\/((-8)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(171) + -5 - -3*(sqrt(171) + 3))**2 - (((-1 + sqrt(171) + 4 + sqrt(171))**2 - (sqrt(171) + -1)*1) + 1).\nAnswer: 87*sqrt(19) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 - 3*o**2 + 3. Let u be x(-3). Suppose 5*g - 15 = -5*d, u*d = 3*g + 1 + 8. Let i = 0 + g. Solve 0 = f - i*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -72 (base 9) in base 10?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 - 18*m**2 - 21*m - 16. What is the hundreds digit of z(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.06?  (a) -2.43  (b) -1\/2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 4 + -7 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -371 + 375. Suppose -4*k - 8053 = -5*d - 5*k, b*k = 4*d - 6452. Calculate the remainder when d is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 230426823 to the power of 1\/2, to the nearest integer?\nAnswer: 15180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = 3*x - 9. Let y be (5 - 2)*(-24)\/(-18) - 18\/5. Which is the second biggest value?  (a) y  (b) x  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 + 10*k + 11. Let o be i(-9). Solve -r + 3 = o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4\/6 + 23*o**3\/6 + 25*o**2\/3.\nAnswer: -o**2*(o - 25)*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 11, y: 7, a: 1}. Give prob of picking 3 d.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of o**5*s - 86*o**3*s**2 - 189*o**2*s**2 wrt o?\nAnswer: 60*o**2*s - 516*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 1*sqrt(1300))**2 + (sqrt(1300) - (-3 + sqrt(1300) + 1)).\nAnswer: 20*sqrt(13) + 1303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 50*n**3 - 7*n**2 - 7*n + 14. Calculate the remainder when v(2) is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 6*g**3 + g**2 + 2*g + 1. Suppose 3*d + 2 = 2*s - 0, 5*d = 5*s + 5. Let o(f) = -f - 5. Let n be o(d). Determine v(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of x**5\/10 + x**4\/2 - 13*x**3\/3 - 15*x**2 + 89*x - 13. Let i(m) be the first derivative of b(m). Factor i(y).\nAnswer: 2*(y - 3)*(y + 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 12 = 3*w. Suppose -19 = w*r - 61. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r + 4. Let p be w(-2). Suppose 0*c - 68 = p*c. Let t = c - -66. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 15 = -21. Suppose q + 32 = p*q + n, -3*q = n - 90. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 654 divided by -6\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 4*c**2 - 5*c**2 + 0*c**2. Let m(n) be the first derivative of 5*n**2\/2 + 16. Calculate m(o(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**2 - y**2 + 21*y**3 - 16*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3384239 (base 11) to base 9\nAnswer: -12123443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12350 and 260.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*i + f + 32 - 42, 0 = -2*i - 2*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.4, -1673, 0.4, 2, -0.5, -6\/11, 25?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 AM and 10:36 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 229472, 458941, 688412, 917885?\nAnswer: 1147360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110010011 - 1?\nAnswer: 110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -185 + 132. Let n = z - -50. Let s = -6 + 13. Is s smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 67*u**2 - 200*u + 30. Calculate o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of 5*o**4\/12 - o**3\/6 - o**2\/2 - 2*o. Let t be u(-2). Solve 4*r - v = 7, 5*r + 6 - t = -5*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 258551 - 13?\nAnswer: 25853d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -30 + 32. Suppose -16 = -3*c + 2*g, c - 3*g = g + o. Let s(z) = -z**3 + 3*z**2 - 2*z + 1. Let k be s(2). Sort k, 0, c in decreasing order.\nAnswer: c, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*d + 18*d - 145. Suppose -d = -3*b + 31. What is the remainder when 57 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 + 2*g + 2. Let u be n(0). Suppose -20 = -5*c - u*f - 3, 0 = c - 2*f - 13. Let s be ((40\/(-36))\/c)\/((-2)\/6). Which is smaller: 0.35 or s?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1.626834km?\nAnswer: 162683.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -24*i + 7. Let h(n) = n**2 - n - 9. Let g be h(0). Is 15 a factor of x(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + 307605.\nAnswer: 307604.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {a: 10, q: 4, d: 1, f: 1, g: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1483146 and 98118?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {o: 1, h: 2, r: 4, y: 3, s: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(147)*2*-2 + 1*(sqrt(147) + -2 + -2 - sqrt(147)) + 1)**2 + 4 + 0.\nAnswer: -112*sqrt(3) + 2360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of -k**4\/4 + 11*k**3\/3 + 7*k**2 - 23*k + 10. Let q be a(12). Is q\/2 - 1503\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 473 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -4*c**2 + 10*c - 7. Let f(z) = -5*z**2 + 11*z - 7. Let t(a) = -3*f(a) + 4*n(a). Let u be t(5). Let l(j) = -4 + 2 + u*j + 2 - j**2. Calculate l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.4361 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8647 by -2.\nAnswer: 8647\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 6*d**2 - 4*d + 5. Suppose 0 = -4*l + 2*s + 32, 2*l - 4*s - 29 = -l. Is t(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 32 + -29. Suppose -2 = -u*f - v - 18, 0 = 3*f + 4*v + 28. Let k be (-52)\/(-16) + 1\/f. Solve z = -k*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-141*k**2 + 141*k**2 + 15*k**3)*(23*k - 12 - 61*k + 36*k) to the form x*k**2 + w*k**4 + j + y*k + d*k**3 and give d.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 3 = -2*f, 15 = 3*r + 2*f - 4*f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(300)*-1 - (-4 + sqrt(300)*-1)) + (2*sqrt(30)*-1)\/(-1*sqrt(160)) + -4.\nAnswer: -19*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(192) + (sqrt(192) - sqrt(192)*1) + -5 - sqrt(192)))**2 + -1*(3*(0 + sqrt(192)))**2.\nAnswer: -1703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -416 - -419. Solve -4*j = -11 + x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12\/3*1 + -15. Find the common denominator of 53\/120 and (-38)\/36*t - (5 + 0).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36859\/9 + 4087. Let i = -120\/31 + 541\/372. Calculate the common denominator of i and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -764 - -14320?\nAnswer: 13445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2. Let h(i) = 4561*i**2. Give h(d(k)).\nAnswer: 4561*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 74, 150, 226, 302?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3937 + -7797. Let c = m + 258055\/22. Find the common denominator of -21\/22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.8 * -0.127\nAnswer: -0.1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 10*o - 96. Suppose -26 = 3*m + 4*w - 2*w, -2*m = -2*w + 4. Let g = o + m. Calculate the highest common factor of 50 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 11*n + 6*n - 59 - 336 = 0, -l + n = -0*n + 27 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-11 - -22) + 0 - -324?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(0 + sqrt(425)) - (-1 + 2*sqrt(1377)) - (-2*-3*sqrt(102))\/(-2*sqrt(6)*-2))**2.\nAnswer: -89*sqrt(17) + 134661\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 133\/39028194 and 17\/1449.\nAnswer: 273197358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -5*p**3 - 44*p**2 - 113 - 81*p**3 - 4*p**5 + 193 - 36*p**4 - 6*p**3 + 96*p = 0.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + -3 + sqrt(432) - sqrt(432) - sqrt(432))*1 - (1 + sqrt(147) + sqrt(147)*-1 + sqrt(147) + -1))**2.\nAnswer: 304*sqrt(3) + 1147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j**3 + 8*j**3 - 820520*j + 820520*j - 4*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1295.6 - 40283285818?\nAnswer: -40283287113.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7448*s = 7447*s - 6. Which is the nearest to s?  (a) -0.05  (b) -2\/9  (c) -4  (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9335.\nAnswer: 5, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 97821.32 nanometers?\nAnswer: 0.00009782132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of -r**3\/3 + r. Let q(w) = -5*w. Let v(l) = 17*n(l) - 6*q(l). Let x(f) = -2*f**2. Give v(x(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 1, -1 in increasing order.\nAnswer: -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1155, -2356, -3569, -4794, -6031, -7280?\n\"Answer: -6*p**2 - 1183*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8793*j + 71 = 4*g + 8790*j, g = -5*j - 11 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/(-3))\/((-8)\/(-120)). Solve -x*f = -3*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*w + 12*w + 5*a = 25, 4*w = a - 26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f. Let h be 48\/(-64)*12\/9. Let v(b) = b**2 - b. What is h*j(d) - 2*v(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g = 29*d - 28*d + 33, 41*g - 4*d = 254 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand c**2 + c + 4*c - c + (-c - 2*c + 2*c)*(-6*c - 11 + 11).\nAnswer: 7*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 16 + 0 + -3 - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 4*v = 8*p - 21, -3*p - 3*v - 9 = 0. Let d = -10 + 4. Let w = -18.4 + 18. What is the second smallest value in p, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (107\/((-25466)\/(-136)))\/((-1)\/(-4))\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(25\/4)*(i*i**(-13\/6))\/i)\/(i**(-3\/2)*i*i)**7 assuming i is positive.\nAnswer: i**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15608 + -8066. What are the prime factors of r?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -m**2\/2 + 1. Let w(v) be the second derivative of 0*v**2 - 5\/3*v**3 + 0 + 10*v. What is j(w(c))?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63 and 10026.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -70 + 79. Suppose 318 = t*i + 39. Let h = 63 + i. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 259*f - 143990 + 71997 + 71993. Let v(i) = 5*i**2. Give w(v(q)).\nAnswer: 1295*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1505 divided by -5?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19409 and 3887.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3717, 29304, 98753, 233994, 456957, 789572?\nAnswer: 1253769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*c**2 + 16*c**3 - c**2 + 7*c**2.\nAnswer: 16*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-306548 - 708*v + 306548)*(-v**3 - v**4 + v**3).\nAnswer: 708*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 117874 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 216, 2250, 7906, 18996, 37332, 64726, 102990?\nAnswer: 153936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.08, 1\/7, -3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 10*y - 33. Let v(c) = 7*c - 22. Let w(n) = 5*i(n) - 7*v(n). What is w(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6.28 + 3.06. Round x to 1 decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -11 + (0 - (1 + -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 4*o + 5 = 14, 53 = -q - 8*o. Let f(g) = 5*g + 7. Calculate f(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - v + 31 = 0, -4*o - 13 = 3*v + 2*v. Let j = 521 - 524. Which is the second smallest value?  (a) 1\/10  (b) j  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 AM and 9:45 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14285.\nAnswer: 5, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/4, 18, 1\/3, 13\/71?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 533.8987 seconds in milliseconds?\nAnswer: 533898.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 402753, 402759, 402769, 402783?\nAnswer: 402801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d**3*j**3*k - d**3*k + d**2*j**2*k + 112*d**2*j*k - 18631*d*j**3*k - 128*d*j*k wrt j?\nAnswer: 12*d**3*k - 111786*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1024 - 79 = 5*l. Let d be l\/((-4)\/(16\/(-4))). Let f = d + 62. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 135 = 3*i. Suppose -13*n + i = -10*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.46 + 8.64. Let b = y + -10. Which is smaller: b or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 3*a - 106, -5*a - 642*q = -639*q - 150. Solve -a*m = 33 - 222 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/39)\/q**(3\/14))**(1\/40) assuming q is positive.\nAnswer: q**(-29\/4368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 88\/(-66)*(-9)\/1*20\/80. Solve 4*v + 71 = -2*a + 75, 1 = q*v + 2*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + k**2 + 2*k - 9. Give c(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -323 + 110?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -m + 4. Suppose -2*a - 2*q = 12 + 10, -4*a - m*q = 44. Let d = 23 + a. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 733220 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -29127*-0.564\nAnswer: 16427.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 278994486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 15*d**2 - 119. Let v(j) = 3*j**2 - 24. Let l(n) = 11*v(n) - 2*y(n). What is the first derivative of l(r) wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + 1 + -1)*1. Suppose m = 3*u - 83 + 23. What is the remainder when u is divided by 2\/4*-7*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1309191 and -0.07.\nAnswer: -91643.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -3*z - 2. What is s(-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(7\/3 + -2) - -7. Suppose -5*f + w*y = -471, -5*y + 0*y + 385 = 4*f. List the prime factors of f.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + -2 - (-4 + 0). Suppose 3*a = 12 + 15. Suppose k*g + 2*p = a, 0 = -2*p - p. Let w(u) = -u**2 + 3*u - 3. Determine w(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x - 5. What is f(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - g + 2 = g, 3*p - 4*g = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than -6\/4387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1405 + 1409. Let m = -35.8 + 41. Let f = m + -5. Which is the closest to 0?  (a) 2\/7  (b) f  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4470235 millilitres to litres.\nAnswer: 0.0004470235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163908 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6438430*k**2 + 4 + 1 - 2 + 6439563*k**2 + (3*k + 0*k - 2*k)*(-k + 0 + 0).\nAnswer: 1132*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3655 and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*h + 94*h = -20. Suppose -q - 51 = -5*g, h*g - q = 2*g + 21. Calculate the remainder when 4\/(-2) + (21 - 0) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g**2 + 148*g - 414. What is u(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - -56 - (-2 - -2). Let u = v - -55. What are the prime factors of u?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -958*d + 1933*d - 1755 = 930*d for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 2 + (-2 + 0 + 9)*(5 - 4 + 1))*(2*f**2 + 3*f**2 - 6*f**2).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -369215*r - 29853 wrt r.\nAnswer: -369215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 32\/5 of a minute?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 289768031.\nAnswer: 7, 19, 2178707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14437274?\nAnswer: 2, 7218637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - 2. Let y(f) = 13*f - n*f**2 + 5*f**2 - 13*f. Let u(a) = 7*a**2. Determine y(u(m)).\nAnswer: -147*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p + 9. Give g(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 893*c - 316*c + 2 - 293*c - 283*c.\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*z**2 + 16*z - 14*z + 5*z**2 - 3*z**3 to the form g*z**3 + i*z**2 + s*z + l and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/3, -1\/11, -0.5, -4, -38\/33?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6696031  (b) 2\/11  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 - 9*a**2 - 9*a - 4. Let k be d(-8). Let m = 6 - k. Solve 0 = -3*p - 2*p - 4*t - 33, -m*p = -5*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-4 - (-5 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 - 5*k**2 - 6*k - 4. Let h = -791 + 797. What is m(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/16*(-4)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 83693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - (-38 - -28) - 21) + 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -712 + 531.2. Let i = d - -142. Let m = i - -36. Round m to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*l - 22*i - 167 - 82, 874*l - 5*i = 870*l + 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 6. Is 77\/3 - u\/(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o = -9*o - 12. What is the lowest common multiple of 38 and o?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 times -0.00725\nAnswer: -0.05075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 - 22. Let p(s) = 0 + 0*s**n + 2*s**2 + 4 - 2*s. Let y(v) = v - 1. Calculate -p(k) - 3*y(k).\nAnswer: -2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*h = h + 440*h + 9407 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -826a320?\nAnswer: -826a323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/9, -0.4, -1\/5, 2\/7, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*m + 65 - 114 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9*-1*1*-1. Let r be 5 + 10\/20*-18. Let m(s) = -27*s - 7. Let c(j) = -13*j - 3. Let q(u) = b*c(u) + r*m(u). Differentiate q(z) with respect to z.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17 - -17 - 23) + 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 3:24 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1\/172 - 2749\/516. Let n = -2478417\/26 + 95403. Let h = -660\/13 + n. Calculate the common denominator of h and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42, 169, 380, 675?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -498 and 0.05?\nAnswer: 498.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - -2. Suppose 0 = m*i - 2*i - 2. Solve -i*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 95213618 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 7*j**2 - j + 6. Let m(i) = -20*i**2 + 3*i - 17. Let p be 2 + -1 + -10 + 3. Let y(b) = p*m(b) - 17*u(b). What is the units digit of y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2090628.\nAnswer: 2, 3, 58073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -276*-3.6643\nAnswer: 1011.3468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 888141322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2*f - 2 = 8, -2*f = -3*u - 2. Put u, 4, -5 in decreasing order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 194077793, 194077792, 194077791?\n\"Answer: -k + 194077794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37948322 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 + 21*z**2 + 38*z + 12. Give a(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 2:09 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-10)\/(-4))\/(-1 + 7\/14). Let c = 5 + -11. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6008191 rounded to the nearest one thousand?\nAnswer: -6008000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(2\/(-4)*1). Let i(g) = g**2 - 6*g + 487. Let p be i(0). Let n = p - 486. Calculate the greatest common divisor of n and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(2\/7)\/l)\/((l*l*l**3*l)\/l))\/(l*l**(-2)*l**(-1\/6))*((l\/(l*l\/l**(-2)))\/l)\/l**(-5)*(l**1)**(-1\/21) assuming l is positive.\nAnswer: l**(-151\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13 and -48409?\nAnswer: -629317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1301303 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 582357 to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 59605 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1662 - 1970. List the prime factors of w\/(-16)*(1 + -2 - -2).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 + 11*r**2 + 12*r + 5. Let n be b(12). Let q(h) = h**2 - 6*h + 7. Let v be q(n). Solve 6*k - v*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2 - 5*l - 5. Let p be o(-4). Let b = p - 27. Sort b, 3, -1 in decreasing order.\nAnswer: b, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -354, -2978, -10116, -24024, -46958, -81174, -128928?\n\"Answer: -376*h**3 - h**2 + 11*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 7 = 4*o + l, -4*o = 3*l - 26. Let b = -4 + o. Solve 3*m = -10 + b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*i = -38*i + 13*i - 117 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 5*x - 22, 0*x - 48 = -5*r - 4*x. Solve -13*k + 17*k + r = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 220914063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -12*k**3 - 16*k**2 + 4. Let b(z) = -4*z**3 - 5*z**2 + 1. Suppose 0*y - 80 = 5*y. Let q(g) = y*b(g) + 5*a(g). Differentiate q(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.21 + 0.11. Let l = -10 - -9.9. Let z = l + -0.9. What is the third biggest value in c, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46 = 4*f + 2*w + 2*w + 30, 6*w - 8 = 2*w + 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2075*d**2*h*l**2 + 2*d**2 + d*l + 7*d + 5*l**2 wrt h?\nAnswer: 2075*d**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 15.47?  (a) 1  (b) -1  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 27171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 91, 184, 291, 418, 571?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 - 8*b + 9. Let k be c(8). Suppose 0 = 2*d - k + 33. Is d at most as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u**3 - 18*u**2 + 2*u + 20. Let n be a(-9). Solve 0 = 39*x - 42*x + 2*w + 6, -n*x + 3*w + 9 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4991 * 0.2\nAnswer: -998.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*v = -9*v - 1176. What is the highest common divisor of 21 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -539.61 + -9.39. Let c = -504 - k. What is the nearest to -1 in c, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(2880) + sqrt(2880))*2 + sqrt(2880))\/(sqrt(20)\/(sqrt(20)\/sqrt(4)) + sqrt(4) + sqrt(4) + (sqrt(4) - (sqrt(16)\/sqrt(4) + sqrt(4)))*3 + sqrt(4)).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 0. Let g(c) = -c**3 + 4*c**2 + c - 2. Let h be g(w). Let u = h - -9. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2737*s - s**2 + 5*s**2 + s**3 + 14 + 2691*s - 2*s**2 - 15 to the form h + z*s**3 + w*s + v*s**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0688 less than -1086.73232?\nAnswer: -1086.80112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 210 = 3*i + 90, h - 3*i = 106. Suppose 0*o = -o + h. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 0*i**2 + 5*i**2 + 8 - 13.\nAnswer: 5*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**1)**(-25)\/(i\/i**(-5)*i*i**(1\/4)*i) assuming i is positive.\nAnswer: i**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + f = 7, -3*f - 5 - 2 = -5*q. Let l(w) = 1 - 1 + q*w - 4. Let c be 5*3*(-3)\/(-9). Determine l(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16929 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 15*q - 48 = -12*q, r - 4*q - 51 = 0. Factor 16\/13 - 28\/13*m + 4\/13*m**r - 10\/13*m**2.\nAnswer: 2*(m - 4)*(m + 2)*(2*m - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -4, -319.99 in decreasing order.\nAnswer: -0.4, -4, -319.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -187*m**4 - 140743*m + 6388231 wrt m?\nAnswer: -748*m**3 - 140743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*g**5 + 2*g**5 + 0*g**5 - 3*g**5 + 0*g**3 + 0*g**3 + (-4*g**2 + 3*g**2 - g**2)*(0*g**3 + 3*g**3 - 2*g**3) + (-3 + 3 - 1)*(g**5 + 3*g**4 - 3*g**4).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5871 is divided by 2068.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 45640346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44756065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/189 and -49\/3687.\nAnswer: 232281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 AM and 8:49 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -69 - -82. Suppose -476 = 9*g - b*g. Calculate the remainder when g is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12425.8 - -12426. Which is the nearest to q?  (a) 0.22  (b) 2  (c) 3\/5  (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1012001212120 (base 3) to base 11\nAnswer: -3a1278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 57733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, v: 18}. Give prob of picking 1 v and 2 n.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 4*b - 4*l, 3*b + l - 4 = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.58 rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22 - 22. Suppose s = 2*z + 10 + 12. Let d(i) = -7*i - 6. What is the units digit of d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 22, 3 in decreasing order.\nAnswer: 22, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -234 + 197. Let y = q + 42. Calculate the smallest common multiple of y and 7 + -2 + 2 + 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/25*-5*((-3380)\/(-2392))\/13.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 262829739 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*t**3\/7 + 4*t**2\/7 - 2*t\/7.\nAnswer: 2*t*(t + 1)*(3*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 84889 + -84887. Suppose -2\/13*z**a + 0 - 12\/13*z = 0. What is z?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3816 and 424.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + sqrt(110) + sqrt(110)*1) - sqrt(110))*-1 - (sqrt(110) + 2*-1*sqrt(110) + sqrt(110)))\/(sqrt(70)\/(2*sqrt(14)\/sqrt(2))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 10*l = 13*l - 23, 17 = 3*f + 5*l. Let v be (2925\/(-60))\/((-1)\/f) - -3. Are v and 789\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1893 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-1\/4)*v)\/v)\/(v\/v**(-2\/3)*v))**(-14)\/(v**(-4)*(v\/(v\/v**(-3)))\/v*(v**(-6\/7)\/v)\/v**(2\/3)) assuming v is positive.\nAnswer: v**(719\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-40*o - 82*o + 2*o)*(11*o + 16*o - 10*o)*(1 + 6 - 3)*(0*o + o + o).\nAnswer: -16320*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7901964.\nAnswer: 2, 3, 7, 31357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 101895 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 6*x = 2*y - 2*x, 2*y = -4*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 48, 316, 1020, 2370, 4576?\n\"Answer: 35*u**3 + 8*u**2 - u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -h, -9*n + 6*h + 6*h = 15*h + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {p: 1, l: 2, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -12081 + 2?\nAnswer: -12079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88503 - 27255 = 4267*v + 42121 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 17140.\nAnswer: 1\/17140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from dqveaaq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 240028 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(5*(3*sqrt(99) + sqrt(99)))\/sqrt(9).\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 168 divide 335566560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 264 and 12?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 69, 70, 71, 72?\n\"Answer: f + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -14*d**3 - 24*d**2 + 38*d + 21. Let m(r) = 5*r**3 + 8*r**2 - 13*r - 7. Let g(x) = 11*m(x) + 4*w(x). Let h be g(-9). Solve 0 = h*a - 2*a - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3954 + 3949.454. Let a = 1.729 + u. Let d = a + 2.9. Round d to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32322 + -3?\nAnswer: -32331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/2)\/6*-33. What is the highest common divisor of 99 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18041*s - 18034*s - 764*s**3 - 103*s**3 + 36075*s.\nAnswer: -867*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c30 + -a297?\nAnswer: -aec7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 6078*b**2 - 22*b + 1. Let a be f(18). Let m = -970655929\/493 + a. Let o = 22\/29 - m. What is the third smallest value in o, 0, 1, -2.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/486156958 and 5\/28?\nAnswer: 972313916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.03 + -0.27. Let n = 0 - 0.4. What is the nearest to 1 in r, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z**2 - 40*z + 3. Let i be j(20). Let r(s) be the second derivative of 7\/12*s**4 - 5\/2*s**2 + i*s + 0 + s**3 + 1\/20*s**5. What is r(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -37\/35262531?\nAnswer: -37\/35262531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, -32, -49, -80, -125, -184?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/27*-6)\/(630\/(-3780)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, g: 1, f: 1, a: 4, t: 1, w: 3}. What is prob of picking 1 g, 1 t, and 1 f?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32235764?\nAnswer: 2, 11, 732631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105 and 765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (20 - 7) + -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 + -11. Let h be 60*4\/24*2. Let j = h + -9. Solve -j - 4 = -s*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/280529 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 414888.\nAnswer: 2, 3, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*a**4 + 13\/4*a**2 + 1\/4*a**3 - 25\/4*a + 3.\nAnswer: -(a - 3)*(a - 1)**2*(a + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26 - (-4432)\/(-192))\/((-50)\/90).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 431*p - 874*p + 441*p + 27*p**2 to the form w + i*p**2 + s*p and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 138891\/4 - 33093. Let n = 124888317\/76900 + 282\/19225. Let y = v - n. What is the common denominator of -35\/11 and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 825037 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -18 + (1 - 3) - 11 - -98\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/((-18)\/15*(-350)\/30)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (35343\/1326)\/99*2*(2\/7)\/1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33 + 4 + -24 - 1 - 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19 - -12. Let i(a) = -9*a - 7. Let w(n) = -3*n + 2. Let u(q) = 5*q - 2. Let k(b) = -3*u(b) - 4*w(b). Determine z*k(j) + 2*i(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6229733946.\nAnswer: 2, 3, 17, 19, 61, 52697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeaeae. What is prob of picking 2 e and 2 a?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 566*t + 434*t - 2705*t + 569*t + 569*t + 566*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - c - 24. Let j(k) = k**3 + 7*k**2 + 6*k + 4. Let t be j(c). Suppose -a = t*a - 110. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10933 + 0.15093.\nAnswer: 10933.15093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 49*9\/126*2\/14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-3) - -3)\/(110\/(-105)) - 2.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 113.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1842*q**2 - 951*q**2 - 889*q**2 + 158*q.\nAnswer: 2*q**2 + 158*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 384 * -0.4.\nAnswer: -153.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 5*b - 10847, -14*b + 18*b - 8686 = -5*l. Suppose 0 = -6*x + 129 + b. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of 11*k**4\/6 - k**3\/6 + 3*k**2. Does 14 divide y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uekeu. Give prob of picking 2 u and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 48 = -5*a + 12, m + 60 = 5*a. Suppose -c + 17 = 3*l, 2*c = -c - a. Solve -2*t = 3 - l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 + -9. Solve 14 - l = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(2\/11))\/(u**(-1)\/u)*u*u\/((u*u**(-10))\/u)*u**(-1\/2) assuming u is positive.\nAnswer: u**(315\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -143 + 44 + 39 + 12*v**2 + 14 + 41.\nAnswer: 12*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/4 + 22\/4. Suppose 27*h - 24*h - 3 = 0. Let u be ((1 + -1)*1)\/(2\/h). Solve -k*n + n - 25 = u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -17900 != -17877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19063, 152246, 513703, 1217572, 2377991, 4109098?\nAnswer: 6525031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - (0 - 0)) + -16 + 238. Let a = -158 + u. Let q = -33 + a. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*b**3 - 1538809*b**2\/7 + 3253420452*b\/7 - 3234022749\/7 = 0 for b.\nAnswer: 181\/182, 4227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 64*s + 5. Let g(p) = 20*p - 3. Let m(k) = 2*g(k) + w(k). Let y(d) = -21*d. Calculate y(m(c)).\nAnswer: -2184*c + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -60762*y**6 + 643054*y**2?\nAnswer: -7291440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44)\/33*69\/(-3220)*4.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2982*j**6 - j**5 - 28680*j**2 wrt j?\nAnswer: 357840*j**3 - 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2539 = -169. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 - 2.1. Which is the third smallest value?  (a) -3\/4  (b) -1  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 - 1. Let y = 93 + -97.7. Let i = y - -18.7. Which is the third biggest value?  (a) o  (b) 4\/3  (c) i  (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 6*l - 38. What is the remainder when c(14) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 4:36 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6.36711 or 2?\nAnswer: -6.36711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -208.32 - -209. Let z = -0.38 + l. What is the second smallest value in -5, 1\/5, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - 4*j + 0*j)*(2*j**4 - j**4 - 3*j**4) - 2*j**5 + j**5 + 0*j**5 + (-j**3 + j**4 + j**3)*(-5*j + 6*j + 2*j) + 1599*j**3 - 1599*j**3 - 93*j**5.\nAnswer: -87*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 + 53*t - 45. What is y(52)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 - 15*z + 4. Let n be l(15). Suppose 5 = -3*x - 2*d - 4, 2*d + n = 2*x. Which is the nearest to -1?  (a) x  (b) 1\/4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2856*b**3 - 5*b**2 + 3*b + 16878038 wrt b.\nAnswer: -8568*b**2 - 10*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1508964 by -164.\nAnswer: -9201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 + 4 - -13) + 8 + -14 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*b - b + 2*b + (-2 + 5 - 5)*(-b - b + b) + 2*b - 2*b - 2*b)*(5626 - 5768 + 21193 + 17095 - 6554) to the form z*b + r and give z.\nAnswer: -31592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*n + 6*n - 13*n)*(2 - 3 + 2)*(3 - 2 + 1) - n - 1 + 1.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*n**6 - 2*n**4 + 5 + 45*n**2 - 5 wrt n.\nAnswer: -3000*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000029779 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 divided by 6.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d + 4*d + 0*d)*(2*d**3 + 2 - 2) + 2*d**4 + 2*d**4 + d**4.\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2093502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i + 4. Is 4 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 2 - 2)*(-1 - 4 + 3)*(4*g**4 - 11*g**4 + 0*g**4) + (0 - g**2 + 0)*(-g**2 + 31*g - 31*g) in the form f + a*g**2 + b*g**4 + h*g + s*g**3 and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -266, -533, -800, -1067, -1334?\n\"Answer: -267*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ra when two letters picked without replacement from {j: 13, r: 1, l: 1, a: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 385 - 387 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqccqq. Give prob of picking 2 q and 2 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6645890938.\nAnswer: 2, 37, 89809337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 380 = 4*r, 5*r + 380 = -a + 5*a. What is the units digit of 7\/(63\/6) + a\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 4 - 2)*(0*i**4 - 4*i**4 + 2*i**4) + 4 - i**4 - 4 + (-4 + 0 + 6)*(i**4 - 3 + 3) + 3*i**4 - 3*i**4 - 2*i**4 - 4*i**4 + 0*i**4 + 3*i**4.\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.99 * -22.13.\nAnswer: 44.0387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/4*m**3 + 0 - 3\/4*m**2 + 3\/4*m**4 + m + 1\/4*m**5.\nAnswer: m*(m - 1)**2*(m + 1)*(m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m**3\/2 + 327*m**2\/2 + 1434*m - 3510 = 0.\nAnswer: -10, 2, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = o - 25. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -342 - -509. Let t = 352 - g. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h**4\/3 + 50*h**3\/3 + 28*h**2 + 50*h\/3 + 8\/3 = 0. What is h?\nAnswer: -4, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3916.935 meters in nanometers?\nAnswer: 3916935000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-118)\/5 + 24)\/(8 + -9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -277*o + 127*o = -269700. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 825 at least as big as 888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 + 16. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14842 and 794047?\nAnswer: 1588094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -164323 * -16\nAnswer: 2629168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 31, 3 in ascending order.\nAnswer: 3, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 7:33 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + -109459311?\nAnswer: -109459308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 4) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111053284.\nAnswer: 2, 31, 895591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140 = -27*l + 22*l. Let j be -2 + -8*(0 + 2). Let o = l + j. Solve 2*n + o = 3*g, 4*g = -0*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, x: 1, k: 3}. Give prob of sequence kkkx.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7425 + 7427. Factor 2\/3*c**h - 2\/9*c + 0.\nAnswer: 2*c*(3*c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14065.0384 rounded to the nearest 10?\nAnswer: -14070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -186*h. Let w(l) = 135589*l**2. Calculate w(f(u)).\nAnswer: 4690837044*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -27 + 16. Are c and -9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -1  (c) -5  (d) 0.123  (e) 2  (f) 8  (g) -1\/3510\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppb when three letters picked without replacement from vpvpppvivvvipvbi?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 - 4 - 5*o**2 + 3*o**3 - 11*o**3. Let c(f) = 34*f**2 + 1168*f + 406. Let g be c(-34). Let w(m) = 9*m**3 + 2*m**2 + 3. Give g*k(h) - 3*w(h).\nAnswer: -11*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5697243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -6017*z + 2119*z + 1918*z - 1959*z - 6222*z in the form n*z + g and give n.\nAnswer: -10161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 4:13 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -4366*i + 69852. Determine f(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1920720 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.7 + 1.7. Which is the nearest to 1?  (a) 0.2  (b) t  (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 + 5*v - 2. Let o be u(4). What is the first derivative of 4 - x**o + 0 + 0 + 2*x**2 wrt x?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 51080?  (a) -2\/11  (b) -0.5  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1359.6 - 1360. What is the nearest to 6 in 0, -3, 1\/4, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1793792903.\nAnswer: 7, 7927, 32327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 69158.39 millilitres?\nAnswer: 69.15839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z - 67*z**2 + 8*z - 6*z - 183*z**2 + 79*z**2.\nAnswer: -171*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 28, 3, 0.32 in decreasing order.\nAnswer: 28, 3, 0.32, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 3*x + 9, 0*n - 3*x + 33 = 5*n. Suppose 5*k = 4*k + n. Calculate the remainder when ((-9)\/k)\/3*-72 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 d when three letters picked without replacement from {f: 5, d: 8}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.7 - 1. Let n = 119 + -126.9. Let t = n - -8. What is the third smallest value in t, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43.66 - -7.38902.\nAnswer: -36.27098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 9:43 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 204016 (base 10) to base 15\nAnswer: 406b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-732)\/(-4)*(-4)\/12. Let q = 76 + f. Solve -h = 4*o - q, -4*o = -0 - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.23 + -0.07. Let m = -2.7 - -2.6. Which is the nearest to -2\/9?  (a) m  (b) t  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/6*200\/(-30) + (-2)\/(-3). Solve 148*n = 147*n - f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1819)\/(2 - 1)*(-4)\/(-4). Let y = 4826 + n. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 276379709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 8*p**3 - 7*p**2 - 2*p + 6. Let b = -214 + 217. Calculate the remainder when g(b) is divided by (22 - 0) + -1 + 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.4668 + -104.4668. Which is bigger: o or 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20638 - -20643. Solve -z*o - 55*d = -58*d + 12, 4*o - d + 4 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - (6 - 3)) + -1 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j + 2. Let x be v(-2). Suppose -k = -x*k + 90. Let c = 1552 - 1550. Let f(b) = b + 1. Let m(l) = l**2 - 9*l - 9. Give c*m(h) + k*f(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of 13*l - 7\/17*l**5 - 5\/51*l**6 + 0*l**2 - 8\/51*l**3 + 0 - 22\/51*l**4. What is r in y(r) = 0?\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2060881 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a decade in years?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*u**2 + 8*u**2 + 14*u**2.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-10))**49\/(x\/(x\/(x\/(x*x**(-18\/11)))*x*x)*(x\/x**(-19\/4)*x)\/x) assuming x is positive.\nAnswer: x**(-19641\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2964*v**3 - 2*v - 3. Let q(p) = 11855*p**3 + 9*p + 13. Calculate 2*q(m) + 9*t(m).\nAnswer: -2966*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 385547 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1047 + 0.0047. Sort 4\/3, -14, i, -1\/2 in ascending order.\nAnswer: -14, -1\/2, i, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22 + -16. Suppose 3*o + 105 = t*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7444446749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20522401 is divided by 88.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -2*p**2 + 37*p - 10. Let q be l(10). Let w(z) = -2 - 63*z + 0 + q*z. Let n(t) = t**2. Calculate w(n(k)).\nAnswer: 97*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 0*c = -191568. Let f = c + -90892. What is f rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 6 = -l, -4*i + 1 = 2*l - 3. Suppose -5*z + 1485 = g, i*z + 4*g - 5*g - 601 = 0. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-2) - (-30)\/20. Solve 0 = x*q + 12 - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 25 = 2*p, -6 - 14 = -4*l - 4*p. Which is the closest to 0.1?  (a) l  (b) 0  (c) -4  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r + 13 + 0*r - 11. Let m be j(7). Let o(l) = -l**2 - 6*l + 5. Calculate o(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -8*h + 20. What is the units digit of u(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-4)*p**(-2\/19))**(-2)*((p\/((p**(-2\/9)\/p)\/p))\/((p\/(p\/p**8)*p)\/p*p))**42 assuming p is positive.\nAnswer: p**(-13364\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h + 2*h - 29*h.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.418751625 - -23.418763325. Let y = -23 + c. What is y rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9 and 6.9?\nAnswer: 62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2*a + 1. Let l be u(3). Let b(c) = -c**2. Suppose 2 = 3*i - 1. Let h(j) = 2*j**2 - 4*j + 6. Let g(o) = i*h(o) + 3*b(o). Determine g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of -16\/63*i**7 + 28 - 81920\/9*i**4 - 128\/9*i**6 - 1048576\/9*i**3 - 4096\/9*i**5 + 2*i**2 + 0*i - 1\/504*i**8. Factor h(l).\nAnswer: -2*(l + 16)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -164 + 1477\/9. Which is the nearest to -2?  (a) 1\/5  (b) m  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 4*j = 3, -18 = -5*m - j - 0*j. Suppose 0 = -k + 5*z - 1 + 66, m*k = 3*z + 219. Calculate the highest common factor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -273 divided by -273?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b**2 + 16*b - 10. Let s(r) = -2*r**2 + 15*r - 9. Let w(d) = -3*i(d) + 2*s(d). Let h be w(9). Solve h = -4*u, 5*a - 18 = 5*u + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -7388*o + 384167. Determine s(52).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((4*sqrt(70))\/sqrt(10) - (sqrt(21)*-1)\/sqrt(3)) + -4.\nAnswer: -6 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 105148 and 91277?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 + 5*j**2 + j - 9. Suppose 6*d = 12*d + 24. Let c be x(d). Solve c + 7 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3675a7 - -3?\nAnswer: -3675a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*(0 + 24\/30)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*y - 3*y - y)*(-16*y**2 + 43*y**2 + 6*y - 26*y**2)*(-2*y + 0*y + 0*y).\nAnswer: -2*y**4 - 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 18*r**3 + 18*r**2 + 4*r - 252. Let w(y) = -24*y**3 - 23*y**2 - 5*y + 336. Let l(i) = 9*c(i) + 7*w(i). Find the second derivative of l(o) wrt o.\nAnswer: -36*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 7*j**3 - 2*j**2 - 4. Let w(g) = 4*g**3 - g**2 - 3. Determine 3*q(z) - 5*w(z).\nAnswer: z**3 - z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 28 = -10*t. Suppose -t*g - 6 + 17 = -p, p + 14 = 3*g. Does 6 divide ((-4)\/p)\/((-4)\/(-390))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 379 a factor of 23488525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1312783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.11 in 1\/3, 2\/19, -2005, 3\/5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*l - 4*l + 13. Solve -5*v + 9 + l = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 - 435*i**3 + 51*i**3.\nAnswer: -384*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-123)\/24)\/((-473)\/(-86)) and 19\/84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-6))\/(18\/(-48)*-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*s - 21 - 22 + 121*s + 854*s.\nAnswer: 925*s - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/(-10) - 884\/(-65). Suppose v*t = 40*t - 54. Solve 5*d - 2*o + 21 = 0, -5*o = -4*d - 29 + t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51222, 102145, 153068, 203991, 254914?\nAnswer: 305837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15*(-2)\/(-120)*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 - -11. Let c be -1*2*(-2)\/y. Is 20*(1 + c\/(-2)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-8)*(9 - 1). Let s(l) be the third derivative of -l**6\/120 + l**5\/10 + l**4\/24 + 2*l**3\/3 - l**2. Is s(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -28 and -6.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -6. Let w = 6 - 0. Factor -8 - l*m**2 + m**2 + 2*m + w*m.\nAnswer: -2*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (-93)\/24)\/((-3)\/6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -14*s**3 - 8*s - 8. Suppose -3*w + 6687 = 6*w. Let z(o) = 1 + w*o + o**3 - 742*o + 0. What is m(q) + 8*z(q)?\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -0.06  (c) -3666\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-112392)\/40 - 4*(-2)\/10. Let r = 4209 + u. What is r rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.03  (b) 106\/3  (c) 3  (d) -0.2  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25683 + -25841.91. Let d = -165.8 - y. Let u = d - -7. What is u rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.9827 - 0.1127. Let l = a - 7. Round l to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 - (-10 + (-41 - -46) + (1 - -20))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -367\nAnswer: 5\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/42)\/((-21)\/(-126)) - (-1)\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69826 is divided by 7752.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30433*h**3 - 30432*h**3 + 60860*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6900628 and 945952.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 12*g**2 - 12. Let x(t) = -t**3 - 7*t**2 + 6*t - 3. Let n be x(-8). Is a(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 60*s**5 + s**2 - 45*s + 2?\nAnswer: 1200*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 107*o**2 - 678*o - 57. Give c(-113).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.4 - 3.6. Which is the second smallest value?  (a) l  (b) -2\/5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6765 + -6772. Sort 2, -21, c in ascending order.\nAnswer: -21, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t**2 + 201*t. Let q(p) = 2*p - 479. What is f(q(n))?\nAnswer: -8*n**2 + 4234*n - 555161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5257 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -574 divided by -7074\nAnswer: 287\/3537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87 - 4*l**3 + 78 - 196.\nAnswer: -4*l**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/((3680\/437)\/(-40))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 4*b - 2. Let t = -14 - -22. Calculate the smallest common multiple of k(t) and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (-14 - (-7 + -9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 - 4*t**2 + t - 4. Let x be a(-3). Let q = x - -22. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 + 26*y**2 + 73*y - 7. Is i(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.5243 + -0.511. Let i = -0.3427 - q. What is i rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/231)\/((-3220)\/(-3542))?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -16*b + 4. Let n be w(4). Let y be (1275\/(-21) - 2) + 3. Let f = y - n. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3170152 is divided by 20192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b + 8*b - b + (3*b - 5*b + 0*b)*(-1 + 2 + 1) + 30*b - 16*b + 17*b + b + 1 + b + 1 to the form f*b + s and give f.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 86136 divided by 1?\nAnswer: 86136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-20) - 78\/10. Let z = i + 0. Let s = -3 - z. Solve -s*q - 4*u = -1, -3*u = 4 - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11873833411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8.1 * -61255.\nAnswer: 496165.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 126 and 87066?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 9*c + 3. Let w(n) = -5*n - 2. Let d(s) = 6*l(s) + 11*w(s). Give d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pxpbbxpbp. Give prob of sequence bbx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 + 11)*(-2)\/((-20)\/6). Suppose 138 + 54 = q*x. What is the highest common factor of 48 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22 + 22. Which is bigger: z or 50\/7?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2949550763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 5*w - u - 8704, u - 3483 = -2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*1\/(-16)*0*4\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/4230 and -119\/96.\nAnswer: 67680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 44*y**4\/7 - 384*y**3 + 25408*y**2\/7 + 347136*y\/7 - 405504\/7 = 0.\nAnswer: -8, 12\/11, 24, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37 + -32. Suppose 7 + w = -4*q. Let x be q - (20\/5 + -12). Solve -x*f - o + 11 = 0, -o - 9 = -2*f - 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 28 + 8. Suppose 0 = 5*d - 5, t = 3*t - 5*d - 5. Suppose t*w + 2 = 3*w. What is the second smallest value in l, w, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 329 = -7. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 490 + -332. Calculate the remainder when m is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*r - 2*r = 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 + 4*u**2 + 4685. Is j(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/2654856 and -119\/1249344.\nAnswer: 21238848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*l - 10 = -111*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 7*n = 114 - 48 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27397 by -75.\nAnswer: 27397\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 + 6*r - 5. Let m be (-38)\/(-5) + 9\/(-15). Let v = m - 3. Determine p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -9 + 13 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 219 = y + 5*m, -2*y - 853 = -6*y + 3*m. Let f = y - 203. Calculate the smallest common multiple of 88 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22941 bigger than 22941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**3 + 0*a**2 - 1341894*a + 1341894*a + 0*a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of h**4\/3 + h**3 + 10*h**2. Let m(a) = 3 + 9*a + 3 + 1. Determine 6*m(i) - 7*s(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 131 + -120. Calculate the greatest common divisor of k and 264.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 605478929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -10967 + -207?\nAnswer: -11073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-480)\/288)\/((-825)\/720).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r - 5*h + 19, -9*r + 6*r + 5*h = 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of t**8\/560 + t**7\/56 + t**6\/30 - 25*t**3\/3 + t**2 - 26*t. Let g(l) be the second derivative of z(l). Let g(k) = 0. What is k?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 15\/8*u**2 + 3\/4*u + 3\/2*u**3 + 3\/8*u**4.\nAnswer: 3*u*(u + 1)**2*(u + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 386, 385, 392, 413, 454, 521, 620?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 154 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 5*v**2 + 14*v - 10. Let k(n) = -14*n**2 - 41*n + 29. Let i(p) = -6*k(p) - 17*q(p). Determine i(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 5*w - 7 = 0, -2*n + 5*w = -5*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h - 25*h**2 + 4*h + 194*h**2.\nAnswer: 169*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 97505076 by -6.\nAnswer: -16250846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 - 0.4. Let a = -90\/11 - -8. Let d = -24471\/10 - -2447. What is the nearest to d in 2, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, -48, -73, -98?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1157*o**3 + 1160*o**3 - 2313*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 192 and 1136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32.3000128 + -32.3. Round f to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + 3. Let g(c) = -c + 3. Let n be g(9). What is the units digit of 6 - (a - n\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -85b728 (base 13) in base 3?\nAnswer: -12220110020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3703151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 times 0.29?\nAnswer: 10.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 185*z + 922. What is r(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*(-1)\/(-9 + 3). What is the closest to 1\/3 in 2, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 PM and 2:43 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1159 (base 10) to base 2\nAnswer: -10010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b + 6. Let s be v(-10). What is the units digit of (-105)\/(-12) - 1\/s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l*l*l*(l*l**(-3))\/l))\/l**8)\/((l**8\/l*l)\/(l**0\/l*l)) assuming l is positive.\nAnswer: l**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 76537*q + 10158?\nAnswer: 76537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3309\/11 + 301. Let i = y + -21\/55. What is the smallest value in -7, i, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**4 + 4*q**4 - 3*q**4)*(0*q + q + q) + (q + q - q)*(2*q**4 - q + q).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 + 23*a**2 - 37*a - 96. Give j(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d + 1. Let c be t(-3). Put 1, c, -3 in decreasing order.\nAnswer: c, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129727 is divided by 403.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - g + 7 = -2*g, v = 2*g - 7. Let t = -2.2 + 2. Let c = t - 0.2. Sort v, 1, c in descending order.\nAnswer: v, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 22*v - 60. What is d(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11, -13, -17, -23, -31?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 3*u**2 - 46*u - 1205. What is the thousands digit of h(53)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 13. Let k = -11 - -14. Let o be k\/2 - 1 - 564\/(-24). Solve -4*m + o = 3*g, -5*g + g + 2*m + j = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 41 - 42.08. Let j = 0.08 + v. Let d = -8 - -11. Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3238874*f**4*j - 2*f**3*j**3 + 254*f**2*j**2 + 2*j**3 - 2945 wrt f?\nAnswer: 77732976*f*j - 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 5*q + 19*q**2 - 22 + q**3 + 16 + 3*q**3 - q**3. Let x be h(-6). Solve x = -3*c + 2*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -594 - -6536\/11. Let f = 0.1 + -0.3. What is the smallest value in f, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 9:39 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 - m + 1. Let w(j) = 1022*j**2 + 1448*j - 1533. Let i(q) = -292*q**2 - 413*q + 438. Let z(t) = -17*i(t) - 5*w(t). Determine -219*s(g) + z(g).\nAnswer: 73*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 308 and 9972?\nAnswer: 767844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5046092?\nAnswer: 2, 1261523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 3\/5, -199353 in ascending order.\nAnswer: -199353, 2\/11, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 2*v + 13 = 0, -13*h + 8*h - 5*v = 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + c - 62 = 0. Let y = -4 + c. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -3*i**2 - 2 + 2*i**2 - 12*i - 2. Let p(k) = -4*k - 26. Let v be p(-5). List the prime factors of n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 38 = 13, 118 = -2*q - 2*p. Let a be 4\/(-26) - q\/13. Suppose m + 2*r - a = 0, -2*r - 20 = -4*m + 2*m. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1223121133 (base 5) to base 12\nAnswer: -b9a6a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of i**2 + 0*i**3 + 1\/12*i**4 + 0*i + 0. Let y(t) = 3*t**2. Calculate n(y(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 100057759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43.13 - 2.23. Let w = 35 - i. Let o = w - -0.9. Put o, -1, 0.5 in decreasing order.\nAnswer: 0.5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6817 = -154*y + 4271. Calculate the smallest common multiple of 1056 and y.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6312402 is divided by 22464?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*r + 527*r**4 - 1042*r**4 + 1 - 2*r**2 - 31*r**3 + 525*r**4 - 2*r to the form p*r + x + j*r**3 + b*r**4 + y*r**2 and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 216 + 330. Let b be 93\/((-2)\/((-16)\/6)) - (6 + -12). Calculate the highest common divisor of s and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -69.027 - -20.929. Let i = -48 - o. Let q = i - 1.098. Which is the closest to q?  (a) 0.09  (b) -0.3  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 57, 241, 557, 1011, 1609, 2357, 3261, 4327?\n\"Answer: x**3 + 60*x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7255*j**2*l**2 - 5*j**2*l - 14*j**2 - 5*l wrt l.\nAnswer: -14510*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 24\/(-640)*-10*-8. Sort 0, n, 1, 31 in decreasing order.\nAnswer: 31, 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7, l: 4, x: 6}. What is prob of sequence ll?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -9*j**2. Suppose 2*p - 6*p + y + 53 = 0, -5*p = 5*y - 35. Suppose 4*v + p = 7*v. Let s(h) = -4*h**2 + v*h**2 + 3*h**2. Determine d(s(b)).\nAnswer: -81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 46\/7 + -45\/7. Let j = 6.9 - 7. Which is the nearest to j?  (a) o  (b) 2\/17  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t + 26. List the prime factors of y(0).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8904\/60 - (-2)\/(-5)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.1, -5\/4, -79, 5, 202\/71?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18167.608 + -7720?\nAnswer: 10447.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -194\/9 or -21?\nAnswer: -194\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 229613.\nAnswer: -3\/229613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 + k**2 + 3*k - 2. Let h be x(1). Suppose 5*q = h*l + 215, 10*q - 75 = 8*q - l. Calculate the remainder when 159 is divided by q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j - 10. Let f be v(-8). Let h = -370 - -373. List the prime factors of (-141)\/f*(-12)\/9*h.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9090*-2\nAnswer: 18180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 - 7*i**2 - 208*i + 1622. Give f(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**16*m*m**(-5)*m*m)\/(m\/(m\/((m\/(m**0*m)*m)\/m)))**(-19) assuming m is positive.\nAnswer: m**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*o**2 + 2*o**2 + 2*o**2)*(-3 + 6 - 1) as g*o**2 + h + y*o and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -15\/22, -2.\nAnswer: -2, -15\/22, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 2*j = 32. Suppose 3*m = j*m - 595. Suppose 4*v - 97 = -4*u + m, -4*v = 5*u - 269. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ugug when four letters picked without replacement from {g: 2, u: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -3866*y + 3868*y - i, 5*y + 38 = 3*i for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/4 of a microsecond in nanoseconds?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1850 + -813. Suppose 0 = 2*m + 4*n - 25 + x, 5*m + 5*n + 2535 = 0. Round m to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 451 - -1?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*n**2 - 8*n**2 - 9 + 7*n**2 - 65*n**4 wrt n.\nAnswer: -1560*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -361189634 or -361189632?\nAnswer: -361189632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -10780.26 times -19?\nAnswer: 204824.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d + 62049*d**2 - 62049*d**2 + 167*d**5 - 624 wrt d?\nAnswer: 3340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 48100575 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 12549.\nAnswer: 4\/12549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.471 + 0.4. Let y = k - 0.329. Let p = -0.5 - -4.5. What is the nearest to -2\/5 in y, -0.2, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 633654 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6 + 2 - -13) + -8 + 2. Find the second derivative of -6*u**2 - 4*u + 0*u**c - 10*u**3 + 97*u + 4*u**2 wrt u.\nAnswer: -60*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.09?  (a) -5  (b) 0.01  (c) -0.05  (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 3 + 5 = 0. Let c(n) = -10*n - 107. Suppose 21 = -3*z - 4*o, 45 = z - 4*z + 4*o. Let p be c(z). Solve p*a = -8 - j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -261*0.421977\nAnswer: -110.135997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-218)\/6*(10 + -5 - 2). Let g = -112 - j. Let a(k) = k**2 + 3*k + 4. Calculate a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -32  (b) -1  (c) -67.6  (d) 0.2  (e) 4  (f) -26  (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from trcycsctnnstytn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 + -58\/3. Which is the closest to g?  (a) 3\/4  (b) -1\/4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 + 25407*k - 50816. Give j(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.16 and 5.441?\nAnswer: -0.87056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**3 - 46*s**2 + 236*s + 19. What is m(7)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*u + 5*v + 19 = -17*u, 2*u + 4*v - 16 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 7.2*7.269\nAnswer: 52.3368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7.30005 - -7.3. Round b to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.3, 0, 0.1, -15\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-16)\/(-56))\/((-20)\/(-28))*450. Let k = r + -178. Solve -k*b + 2*i = 0, 0 = 3*b + 4*i - 12 + 33 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 - 22*g + 2. Let t be h(-22). Which is the closest to 2\/9?  (a) 1\/2  (b) t  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g + 70 + 73 - 223 + 80.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -370*d**2 - 3*d + 3. Let t(k) = -45141*k**2 - 367*k + 367. Give -367*o(j) + 3*t(j).\nAnswer: 367*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -235276.52*-0.07\nAnswer: 16469.3564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 4:15 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 1666435?\nAnswer: 6665740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.86252 days in minutes?\nAnswer: 87642.0288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 7*j**2 - 13*j - 46. Suppose 10*k - 293 = -323. Let q(s) = 4*s**2 - 7*s - 23. Let m(g) = k*r(g) + 5*q(g). Calculate m(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(484) + (sqrt(484) - (sqrt(484) - -1*sqrt(484))))\/sqrt(11) - sqrt(66)\/(-1*sqrt(150)))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 320 = -0*c. Let m = 77 - c. Let p be (2 + -2 - 1) + m. Calculate the highest common divisor of p and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + -4. Suppose 5*k - 1 = f*t + 9, 4*k - 3*t = 15. Suppose k*p - 4*w = 3*p - 7, -21 = 3*p - 3*w. Let c(q) = q - 1. What is c(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3040\/(-10)*(-58)\/464?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 4, -11 = -3*b - 3*u + 19. Suppose b*f = 11*f - 195. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 21855200 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, 1794, 5 in descending order.\nAnswer: 1794, 28, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*a - 21 = -6*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of 2*o**6\/3 - 24*o**5\/5 + 4*o**4 + 32*o**3 - 64*o**2 + 1069. Factor m(w).\nAnswer: 4*w*(w - 4)*(w - 2)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 12 = 22. Suppose i = -4*s + m, 8 = -s + 3*s. Let j(p) = 10*p. Let q be j(i). Calculate the highest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 42414548 or 42414547?\nAnswer: 42414548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.3978856 + -0.2?\nAnswer: 9.1978856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 201332 (base 4) in base 15?\nAnswer: 99e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.473 - -0.873. Which is the closest to 1?  (a) 2  (b) s  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -76*v - 2326*v - 348*v in the form n + x*v and give x.\nAnswer: -2750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 7, x: 3, j: 1, f: 6}. Give prob of picking 1 f, 1 j, 1 v, and 1 x.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 2 + 143. Suppose -4*c - o = -2*o - b, -5*o = 4*c - 163. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-26)\/(-6))\/((-23)\/(-23))*6\/(-4).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -3 + (-1*sqrt(84))\/(sqrt(3) + ((sqrt(45)\/sqrt(3))\/sqrt(5) + sqrt(3) - sqrt(3))))**2.\nAnswer: 8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -420.4118956 rounded to the nearest integer?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i = -11*i + 48. Calculate the highest common divisor of i and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of d**4\/6 - 14*d**3 - 83*d**2\/2 + d. What is the smallest common multiple of n(43) and 34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -87\/8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rroroordoord. Give prob of picking 1 r, 2 d, and 1 o.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 4*s**3 + 7023192*s**2 + 3082812570372*s - 12331362652816 = 0.\nAnswer: -877901, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/h**(3\/4))*h*h*(h*h**(-2\/3))\/h)\/(h\/(h*h**(2\/7)\/h*h))**33 assuming h is positive.\nAnswer: h**(967\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a decade in months?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 268929 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22*j**2 + 117*j**5 - j - 87*j**5 + j wrt j?\nAnswer: 1800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34176186 divided by -345214.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from husuuusuususu. Give prob of sequence uuus.\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/24 - ((-681674)\/15987 - -43)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4158705544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1647867 divided by -549289.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2*x**2 + 6*x + 4. Suppose 12 = -5*g - 8. Let y(v) = 4*v**2 - 13*v - 9. Let d(u) = g*y(u) - 9*k(u). Find the second derivative of d(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.2 + -3.2. Let u = z + 0. Let k = -2956.3 - -2956. Which is the third smallest value?  (a) 0  (b) u  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 25 = y. Suppose 0*n - y*n = 15, -3*j = -5*n - 24. Let t be 25\/30 + j\/(-2). Which is greater: -1\/4 or t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 426343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (62\/93)\/((8\/20)\/((-18)\/10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 + 12*i. Let w = -75 - -63. Let t be f(w). Solve t = -2*z + 3*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 6*i**3 + 9*i**2 + 2*i + 1. Let k(r) = -6*r**3 - 8*r**2 - r - 2. Let o(x) = 5*k(x) + 4*p(x). Let q be o(-5). Suppose -43 = -4*j + q. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000709985 to 7 dps.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/((-3264)\/170 + 22).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -y**5\/60 - y**4\/4 + y**3\/2 - y**2. Suppose 12 = -2*w + 2*l, -1 = -4*w + 5*w + 4*l. Does 8 divide g(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 80443 and 220?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -76*(2 + 179\/(-88)) and (42\/3752)\/((372\/(-440))\/31).\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31.1*-0.2.\nAnswer: -6.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31\/65 - 1\/13. Which is the nearest to -17?  (a) 5  (b) g  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13935195.\nAnswer: 3, 5, 309671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -574 (base 16) in base 3?\nAnswer: -1220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-180)\/(-165) - 525\/6325\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101101101001 - -1111?\nAnswer: 11101101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 25*x = 66500. Let s = x + 4071. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 14*f - 250. Calculate u(11).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of w**5\/10 + 97*w**3\/3 - 911*w**2\/2 + 142*w. What is the first derivative of g(n) wrt n?\nAnswer: 6*n**2 + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = 5*h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*j - 66*j - 93*j + 243*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 17\/3 - (-20)\/(-30). Suppose 90 = b*z - 145. Calculate the remainder when z is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - -111a42?\nAnswer: 111a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than -2\/3119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 3*p + 4 = 0, 0 = -4*k - 3*p + 6*p - 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 183464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -10868865 divided by 127869?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - (8 - 16)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, n: 3, m: 3, b: 1, i: 2, t: 1}. What is prob of picking 2 i and 1 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -957?  (a) 0.1  (b) -5\/4  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3 - 0)\/(89\/(-43) - -2). Suppose -o + 0*g + v = -5*g, 2*g = -5*o + 107. Solve 5*x = 3 - o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 4*p + 24 = 0. Suppose 0 = 6*r - p*r + 10. Let m(n) be the second derivative of n**5\/20 + 5*n**4\/12 + n**3\/3 + 7*n**2\/2 + 3*n. What is m(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, m: 2, o: 4, w: 10}. Give prob of picking 1 w and 1 d.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 5:38 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**2 - 17864*w + 53574 = 0. Calculate w.\nAnswer: 3, 8929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(0 + sqrt(242)) - sqrt(242) - (sqrt(242) - (sqrt(242) + 1 + sqrt(242) + -2 + sqrt(242))))*-5)**2.\nAnswer: 550*sqrt(2) + 6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 9:10 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18444 + 18616. Which is greater: r or 23?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1\/7, 60, 4.1, -2\/49.\nAnswer: -2\/49, 1\/7, 4.1, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(114)*2 - (sqrt(114) + (sqrt(114) - sqrt(114)*-1))*4)*5)\/((sqrt(216) + (sqrt(216) - 2*-3*sqrt(216)))*5))**2.\nAnswer: 931\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1765253 is divided by 588409?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2291057.\nAnswer: 479, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**2 - 30*y - 4. What is q(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1\/674 + 1013\/1348. What is the third biggest value in -12, g, -1\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11000 (base 2) to base 7.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 4, -15, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 1 - (1 - -4)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 - 19. Let h(y) = -y**3 - 11*y**2 - 10*y + 2. Let l be h(f). Solve l*s - 5*o = 6, 0 = -0*s + 2*s - 4*o - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from raaaz. What is prob of sequence za?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-y**2 - 6*y**2 + 4*y**2 + (-3*y + 0*y + y)*(1 - 1 - y))*(0*y - y + 3*y) + 12852*y**3 - 8213*y**3 - 8399*y**3 as h*y**2 + i + c*y + j*y**3 and give j.\nAnswer: -3762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 33*p + 360 = -792 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -648 or -667?\nAnswer: -667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 60 - 35. Suppose -7*a + s = -10. Suppose 855 = 5*b + 5*j, -b + 182 = a*j + 7. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.11241 rounded to one dp?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 19 - 25 = 0. Solve 2*d - 4*q = -12, -3*d - q + o*q - 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -2*b - 2*b - 4*o, b - 2*o = 0. Let j = 2 + b. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -20*m**2. Let b(z) = 4*z**2. What is b(v(c))?\nAnswer: 1600*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5889, 5891, 5895, 5901?\nAnswer: 5909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*q = -9*q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10334 + 3121?\nAnswer: -2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 246*m = -1986 + 264. Suppose 0*j - i = -j - 4, j + 3*i = 16. Suppose -o + 3 = j. Let t(r) = 2*r - 2. Let c(g) = 6*g - 6. Calculate m*t(k) + o*c(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -1413012*f**2. Let n(c) = -12*c. Give n(j(z)).\nAnswer: 16956144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1183 + 110*a - 3*a**3 + 88*a - 198*a + 0*a**3.\nAnswer: -3*a**3 - 1183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 9:18 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00571 rounded to 4 dps?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 4  (c) -142\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 PM and 7:23 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 9:24 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of 1\/3*x**3 - 6 + 4*x + 3*x**2. Let p be b(-5). What is the biggest value in -2\/13, -0.3, p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 + (16 + -1 - 10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*b - 2*b. Let r(j) = -j - 5. Let f be r(-7). Let k(u) = -7*u**2 + 1 + f*u**2 - 2*u**3 + 3*u**3 + 3*u. Give k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7948896 and 66775.\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-3\/10)\/h)\/h)**(-3\/22)\/(h\/h**(20\/7)*h*h\/h**2))**(2\/25) assuming h is positive.\nAnswer: h**(3343\/19250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 5*d + 6 = -0*i, -12 = -2*i - 2*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.655 - 0.055. Let x = 5 - h. Let i = 8\/21 - 2\/3. Sort i, x, -2\/17 in descending order.\nAnswer: x, -2\/17, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/15 + 148*b\/5 - 1632.\nAnswer: -2*(b - 120)*(b - 102)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*f**2 + 3*f**2 + 2*f**2)*(6 - 1 - 3)*(f - 3*f + f + 3)*(-5 - 1 + 2).\nAnswer: 8*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 26 = 2*n, 4*n - n - c = 11. Suppose 3*z + 25 = 5*v, 7*v = n*v - 4*z + 10. Solve v = 8*x - 9*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2537709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 309 is divided by 77.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, q: 4, p: 2, f: 2}. Give prob of sequence fzz.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 2. Let a be (n\/((-8)\/6))\/(6\/32). Solve 3*m + m - 14 = d, -a*d + 3*m = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -89*r + 5158. Let h be o(58). Which is the third smallest value?  (a) h  (b) -2153  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2667 + -23?\nAnswer: -268a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -10112344 (base 6) to base 13\nAnswer: -a1a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*y**2 - 152 - 111*y**2 + 77 + 75.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2897 divided by -2897?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 2)*(151 - 25*a - 151 + (-1 - 1 + 5)*(-7*a + 3*a + 2*a)).\nAnswer: -31*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {d: 2, q: 1, p: 4, u: 2, t: 10}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 2 + 1)*(j + 4 - 4) - 5*j + j - j)*(99*j**2 - 99*j**2 + 15*j**4) + (-4*j**3 + 0*j**3 - 7*j**3)*(3*j**2 + 2*j**2 - 6*j**2).\nAnswer: -19*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 198960 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 151045761.\nAnswer: 3, 23, 827, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uecuellslelc. Give prob of sequence llsu.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6 - 7)*(1 + 0). Is n at most as big as -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*g = 49*g + 189 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-54)\/(-9)*-1*(-1)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**2 - 2*a + 2. Suppose 4*c = 6*c - 4. Let h(o) = 7*o - 3. Let s be h(c). Let i(n) = -4*n**2 + 4*n - 3. Let j(x) = s*q(x) + 6*i(x). Factor j(m).\nAnswer: -2*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/3)\/(80\/360).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((400\/992)\/(-25))\/(1\/2)*2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1*(0 + (3 - 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/96 and -17\/8.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.11, 0.4, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468) - (-5*3*sqrt(468) + sqrt(468)))\/(4*sqrt(225)) - (-6*sqrt(364)*-2)\/(sqrt(448)*-1).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5287896 by 660987.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-87660)\/108 + 10\/6 + -2. Round g to the nearest ten.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 times 48352746?\nAnswer: -338469222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 195 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 8*p - 12. Let x(u) = -1. Let o(m) = -m**2 - 35*m + 48. Let i be o(-36). Let n(g) = i*x(g) - s(g). Let z(d) = -20*d**2. What is z(n(q))?\nAnswer: -1280*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence udfi when four letters picked without replacement from iuududfdtddtdtii?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.3  (b) -7\/5  (c) 2\/19  (d) -6\/5  (e) 0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3*h**2 - 2*h + 34. Let p be b(11). Round p to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1531348279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-456)\/(-27) + (-510)\/(-459).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - 13. Calculate the least common multiple of 92 and u.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -78 + 52. Let w = r - -40. Suppose -270 = -8*k + 3*k. What is the remainder when k is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/7  (b) 1\/7  (c) 124\/7  (d) 16  (e) -5  (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1966148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -1 + 5 + q**3 + 6*q**2 - 7*q + 1. Let v be m(-7). Suppose -5*b + 77 = 2*u, -4*u + 0 = v*b - 79. Solve -2*f + b = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 666*s**2 - 1335*s**2 + 671*s**2 - 388 + 4*s - s in the form h + v*s + y*s**2 and give h.\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together 173 and -0.4646.\nAnswer: 172.5354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wqojsuuqw. Give prob of sequence uu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*x = 14 + 12. Suppose x*p + 4*m = 30, -20 = -2*m - 2*m. Solve 4 + 17 = -y - 4*s, -p*s = -3*y + 22 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1\/105 - -103\/210. Factor -3\/2*p**2 - 1\/2*p**3 + 1\/2*p + p**4 + o.\nAnswer: (p - 1)**2*(p + 1)*(2*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4 - (-2253)\/12) + (-3)\/4. Let h = 69 + o. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**(-14))\/a)\/(a**(-2\/73)*a))\/((a\/a**(-4)*a)\/(a**(3\/17)*a*a)) assuming a is positive.\nAnswer: a**(11422\/1241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -241, -5, -2, 0, 2, 15.\nAnswer: -241, -5, -3, -2, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -48*v - 7367*v**2 + 39*v + 7368*v**2 - 3. Let l(j) = -j**2 + 8*j - 6. Let u be l(5). What is m(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 0*l + 2*l - 163 = 0, 161 = -5*g + 4*l. Let y be (-2510)\/(-45) - 4\/(-18). Let z = g + y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**3 - 301212*m**2 + 1506184*m + 1807392.\nAnswer: -4*(m - 6)*(m + 1)*(m + 75308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -14*r. Suppose 2*c - 2 = -0*c. Calculate z(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/12 and 89\/26058.\nAnswer: 52116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*g**2 + 0 - 15*g**2 + 0.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 1 - 9*c**2 + 0*c - c**3 + 8*c**2 + 0*c. Let r be 3\/((-4)\/40*-2). Let z(m) = -r*m**2 - 5 + 2*m**3 - 20*m**3 + 20. What is -15*n(u) + z(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3093129 is divided by 4596?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 5*v + 28 = 0, 11*k = 7*k + 3*v - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -89 - -90. Let d = -47\/3 - -95\/6. Which is the closest to m?  (a) 4\/3  (b) d  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, r: 3, z: 3, s: 7}. What is prob of picking 3 z and 1 r?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.783 - -1.027. Let a = 5.18 - -1.52. Let o = g - a. What is o rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2556907 divided by 6\nAnswer: -2556907\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 66801513397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - 8978154.\nAnswer: -8978153.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z**3\/4 + 462*z**2 + 213444*z = 0. Calculate z.\nAnswer: -924, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 divided by 11?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 70209431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 81 = 74. Solve 4*t - m = 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54458538809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 17 = 1. Solve -m*v**4 + 12*v**3 + 4999*v - 4999*v = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*85\/((-6885)\/126)*-18.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/(sqrt(48)\/(sqrt(6) + sqrt(24))) + sqrt(40)\/sqrt(200)*-2 + 3)*-3.\nAnswer: -39*sqrt(5)\/5 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 - 17 - 43 - -27.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1171 - 7117?\nAnswer: -5946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 620*o - 1309 = 667*o - 87 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 147 * -5.5.\nAnswer: -808.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2 = 0, 2*z + 4011 - 14951 = 4*o. Is 52 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1046 - -1067 - (-2 + 69).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 - (-4 - (3 + -6)). Let g = -7 - -9. Put g, c, -1 in ascending order.\nAnswer: -1, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000106 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -2227.99572133\nAnswer: -2232.99572133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of -q**6\/20 + 5*q**4\/24 + 5*q**3\/6 - 20*q**2. Let b(n) = n**3 + 7*n**3 - 6 - 6*n - n**3. Determine 5*b(k) + 6*h(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 114 + -54. Suppose 56 = -2*b + p + 15, -3*b + 2*p = f. Let m = b - -28. Calculate the lowest common multiple of m and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 13 + 14 + -19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 3*c = -0*c - 70, -59 = -2*r + 5*c. Calculate the remainder when 84 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -37813.9253 to the nearest 100.\nAnswer: -37800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8960437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 5*m - 63 = 0, m + 77 = 5*r + 2*m. Suppose -1 = -i - 0*i. Let t be (i*4)\/(-6 + 7). Solve -u - t = 2*d, 5*u = -4*d + 6*d + r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 + 9*f**2 - 15*f + 10. What is v(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*l**3*q**4 - 273*l**3*q**2 - l**3*q + 2*l*q**2 + 4*q**6 - 8*q**3 wrt q.\nAnswer: 192*l**3*q + 480*q**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 329  (c) -2\/5  (d) 1\/2  (e) -436\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 343.3363m to centimeters.\nAnswer: 34333.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 907298.\nAnswer: 2, 7, 229, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 0.5, -0.2, 4 in ascending order.\nAnswer: -1\/3, -0.2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express s**4 + 0*s**4 + s**4 + (100*s - 4584 + 4584)*(1 - 1 + s)*(-2*s**2 + 2*s**2 - 2*s**2) as v*s + x*s**4 + u*s**2 + d*s**3 + i and give x.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 2, -82, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 20*(370\/25)\/1. Suppose 2*h - w = -z, 0 = -2*z - 3*z - h + 1516. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 7:15 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 6152 = w, 2*t - 31*w + 30*w - 4101 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 190 - 130. Suppose -2*n - 10 = -i. Suppose 0 = 9*r - 61 + n. What is r rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15371 - -15457. Let o be (-2 + 1)*-1 - 2. What is the remainder when b is divided by 43 + -1 + (-2)\/o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19975, 22784, 25593, 28402, 31211, 34020?\nAnswer: 36829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0260023327 rounded to five decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i**3 + 2*i. Let j be h(2). Suppose 380*t + 227*t = -220*t + 3308. Solve p + 4 = 0, 0 = -2*q - q + t*p + j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s + s - 28*s**2 - s.\nAnswer: -28*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 878*c - 886*c - 3*s = -190, -3*c = -3*s - 63 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -5*z + 2*z**2 - 3*z**2 + 2*z**2. Let c be b(5). Suppose c = 3*j - i - 72, -4*j - 7*i + 3*i = -96. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of 0*q**3 + 0*q**2 + 3*q + 48 - 12\/5*q**5 + 3\/4*q**4. Find the first derivative of g(c) wrt c.\nAnswer: -48*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9676051 - -2?\nAnswer: -9676049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 67.40751ml in litres?\nAnswer: 0.06740751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 557155?\nAnswer: 5, 111431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1999.05 years in centuries?\nAnswer: 19.9905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**3\/4 + 2943*n**2\/4 - 202935*n\/2.\nAnswer: -3*n*(n - 815)*(n - 166)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 63*f*t*w*y - 24*f*t*w + f*t + 220*f*w + 1266*t*w + 17*w*y - 3*w wrt f?\nAnswer: 63*t*w*y - 24*t*w + t + 220*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1566.3 or 27?\nAnswer: 1566.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 1\/4, 0.27, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -6*g**3 + 11*g**2 - 11*g - 11. Let d(a) = a**3 - 2*a**2 + 2*a + 2. Let v = 60 + -71. What is v*d(u) - 2*r(u)?\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -487.76 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 34315936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 - 5*d - 3. Let c(z) = -z. Let w(x) = 12*c(x) + 3*u(x). Let h be w(9). Sort 2, h, -5 in descending order.\nAnswer: 2, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = n - s, -3*n - 30 = -5*n - 3*s. Calculate the smallest common multiple of n and 17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -85*h**3 + 151*h**2.\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 42*u - 3*u + 113 = 0, -2*u + 3 = -5*f - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3*k**3 + 146*k**2 + 48*k + 55. Let t be g(49). Let b(p) = -3*p - 5*p + 2 + 7*p + p**3 - 6*p**2. What is b(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(2057) + 0 - sqrt(2057) - sqrt(2057))**2*-6.\nAnswer: -12338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 33.11809 nanograms?\nAnswer: 0.00000000000003311809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/((-1170)\/108)*(-40)\/6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 3*h + 115. Let u = h - -45. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10044 plus -467.63188?\nAnswer: 9576.36812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/479972 and 71\/22.\nAnswer: 5279692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*b**5 + 0*b**2 + 2\/3*b**3 + 0*b**4 + 0*b + 0.\nAnswer: -2*b**3*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/12*-6 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1561789837 and 21244?\nAnswer: 5311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 42598000 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.672417 kilometers to meters.\nAnswer: 672.417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 3)*(-275*m + 133*m + 141*m + 42).\nAnswer: m - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13063 is divided by 4291.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**19\/c*c\/c**(-1\/4) assuming c is positive.\nAnswer: c**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from hhfhfihigi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 14066059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -t**5\/7 - 149*t**4\/7 - 5312*t**3\/7 + 60524*t**2\/7 + 3241152*t\/7 + 6200064\/7 = 0?\nAnswer: -72, -26, -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 39*i - 3*i + 4 - 45*i - 4 to z + d*i and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 63*k**2 - 6*k - 17. What are the prime factors of h(-5)?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2723640 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 5) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 6*k**3 - 4*k**2 - 4*k. Let a(j) = 7*j**3 - 5*j**2 - 5*j. Give -4*a(m) + 5*n(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -622 + 621. Sort t, -0.2, -2\/69 in descending order.\nAnswer: -2\/69, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*d + 20*d = -45*d. Solve d = -965*l + 967*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04 in 28\/5, 0.5, -0.1, 8644?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 17 = -3*f, -21 = -3*f - f + v. Calculate the common denominator of 163\/(-6) + (6 - f) and -91\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 e when three letters picked without replacement from rrer?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-5\/2)\/b*b**(-2\/15))\/(b\/(b\/(b**(-7)*b*b))*b**(-1\/4)*b) assuming b is positive.\nAnswer: b**(37\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 - 5*y + 8. Let m be f(-6). Let x be 10\/(-110) - (4 - (-444)\/(-44)). Solve -m*o = 2 + x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -310*y + 21. Is r(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 38883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/8 - (1\/4 - 2). Solve -4*o + 4*k + 8 = 0, 0 = -z*o + 3*k + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p - 2 = 3*p - 4*p, -4*b + 126*p + 12 = 124*p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-390)\/(-210) - (-1 + 2)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17092\/(-64095) - 536\/15?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -362.2030741 and -0.0605?\nAnswer: 362.1425741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-28)\/18 - 16\/36. Let z be (2\/c)\/(4\/(-48) + 0). Let o(y) = y - 9. Give o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1035800761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -496 = -g - 5*n, -g + 2*n + 1556 = 2*g. Suppose -3*j + 4473 - g = 5*q, 0 = -3*j + q + 3957. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*y + 1 - 4*y - 3 - 2.\nAnswer: 6*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/11))**14*(s*s**(8\/5))**(-7\/4) assuming s is positive.\nAnswer: s**(-1561\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 197.1 + 169.2. What is x rounded to the nearest 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-187)\/(-44) + 2*(-1)\/8. Is 24 a factor of (7 - g)*(75\/3 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1232 - 64?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}