diff --git "a/data/dm_maths/full_data_2/1282_11255.jsonl" "b/data/dm_maths/full_data_2/1282_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1282_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u = -12163\/2 - -58735077\/9658. Calculate the common denominator of 31\/99 and u.\nAnswer: 43461","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 - 3*c. Let f be g(2). Suppose -5*t - 4 = 4*l, 3*l - 5*t = 2*l - 1. Let m be (93\/21 + l)*7. Calculate the greatest common factor of f and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 + 2*k**3 - 2*k**3 - k**2)*(-5*k + 2*k - 2*k) + (2*k**4 - 3*k**4 + 3*k**4)*(-3*k + 5*k - 3*k).\nAnswer: 3*k**5 + 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 343\/52 at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, n: 1, z: 5, t: 3}. What is prob of sequence zzz?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341426.\nAnswer: 2, 3, 179, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131220*m**5 + 4594320*m**4 - 29187545*m**3 - 198044825*m**2 + 2448330*m - 7560 = 0. What is m?\nAnswer: -4, 1\/162, 18, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3 = -3*s + 1, d = 3*s - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -0.4 (b) -2\/3 (c) 4 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1300 - -2367. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = i + 3*l - 14, -2*i + 25 = -5*l. Which is the third smallest value? (a) 0.5 (b) 3\/2 (c) i (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2991*-1\nAnswer: -2991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4459560*n - 7*n**3 + 4459513*n - 2*n**2 + 3*n**2 + 18*n**3 as o + h*n + j*n**2 + a*n**3 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -99.1 (c) -1 (d) 0.75 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = -l + m, 5*l + 5 = 5*m. Let x be -4*2 + (-36)\/(-4). Calculate the highest common factor of l and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1694 and -127\/6776?\nAnswer: 6776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 * -0.134\nAnswer: 0.3752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (26 + -15 + -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.7217607 to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48258242?\nAnswer: 2, 701, 34421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 10*u**2 + 3*u - 28. Let r be o(-9). Let v(d) = 12*d - 23. Is v(r) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1695218 and 1695217 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 2\/13 (c) 5\/6 (d) -0.497 (e) 4\/3 (f) -4\/19 (g) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3100 + 115*h - 1606 + h**3 + 3*h**2 + 9*h - 1495 in the form z*h**2 + b*h**3 + d + f*h and give f.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357.6151l to millilitres.\nAnswer: 357615.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymymmymmmmmmmmmyym. Give prob of picking 3 y.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31435?\nAnswer: 5, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = -84 - 11. Let z = 2 + -2. Let b = w + z. Let n(o) = -o**2 - 7*o - 2. Determine n(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10343 (base 5) to base 9.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2598*a - 43. Let g(x) = 1300*x + 20. Give 15*g(q) + 7*l(q).\nAnswer: 1314*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6596 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2. Let f(g) = 758*g**2. Give b(f(y)).\nAnswer: -1149128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -156*m + 5536 - 3352 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*h + 107390 = 3*m, 4*h - 161080 = -3*m. What is m rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*d*g*j**3 - 11165*d*g*j**2 - d*g - 3407*d*j**3 - 2*g*j**2 wrt j.\nAnswer: -84*d*g - 20442*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.167792 months in millennia?\nAnswer: 0.000097316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(264)\/(-2*sqrt(11)))\/((4*sqrt(72)*-3)\/sqrt(6)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 - 13*x + 15. Let u be (2 - 7)*4\/(-10). Let h(b) = 2*b**2 + 4*b - 5. Let s(r) = u*m(r) + 7*h(r). Is s(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13*((-901)\/(-884)*8 - 8). Factor 0*u + 1\/5*u**a - 1\/5.\nAnswer: (u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**4 - 3143298*u**3 - 22002924*u**2 + 15716610*u + 235745775 = 0.\nAnswer: -1047759, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w**2 - w + 2. Let x be g(4). Is (73\/(-6))\/((-29)\/x) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.19999985 + 5.2. Round i to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-405)\/(-90)*(-1)\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - -41 - (2 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 515\/40 - (-2)\/(-48)*(15 + -17 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 - 0.07?\nAnswer: -269.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -4. Suppose -4*m - 20 = 0, 78*z - 74*z + 26 = -2*m. Sort -3, z, f, 0 in decreasing order.\nAnswer: 0, -3, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = l + x, 2*x = -l + 1. Let d = l - -32. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.005 + 0.05. Let g = f + -6.945. Let m = g - -7. Is 2 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 25. Let t be 24\/(-14) + (-8)\/b. List the prime factors of (12\/(-9))\/(t\/21).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 11*k. What is the smallest common multiple of f(5) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 9. Determine y(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(6 - 4 + 3)*(1972*u - 332*u + 164*u + 637*u).\nAnswer: -12205*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 697833*-0.02\nAnswer: -13956.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -911697, -911699, -911691, -911667, -911621, -911547?\nAnswer: -911439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6292146 divided by -1048691.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 146*c**2 - 634*c**2 + 7298308*c - 7298308*c to the form g*c**2 + b*c + l and give g.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 17. What is the closest to g in -1\/4, 1.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(6)*5)**2 - (3 + (sqrt(17) + -1 + sqrt(17))**2).\nAnswer: 4*sqrt(17) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 11.24?\nAnswer: -8.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, j: 4}. Give prob of sequence pppp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 891? (a) -2\/7 (b) -0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/270*-6*-3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-31 + 17 + 28)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 0)\/6*4. Let l(x) = x**2 - v*x**2 - 2*x**2 + 0*x**2. Let u(i) = -3*i. Determine u(l(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 1 + (-268)\/(-32) and -125\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(2\/7)*m*m*m**(-1)\/m)\/((m**9*m)\/(m\/m**(2\/27))) assuming m is positive.\nAnswer: m**(-1094\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 25*b**2 + 54*b - 7. Give f(-27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -3379\/12877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 18 + (7 - 2) + -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*c - 24*c + 2356 = 219*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-3\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5094761 divided by 122.\nAnswer: 5094761\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-798)\/(-209)*50490\/(-1785)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1721*o - 25726. Determine u(15).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 24*b**2 - b**3 - 36*b**2 + 3*b**2 - 8*b - 6*b + 6 + 5*b. Suppose 3*r = -3*m - 39, -m + 5*r + 7 = -4. Is f(m) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -64*t**3 - 8*t - 26*t**4 - 69*t**2 + 25*t**2 - 2*t**4 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from {u: 1, m: 2, d: 2, b: 1, q: 2, a: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 8*d - 364 = -15*d. Solve -185 = 24*g + d*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/3723 + 356165\/3723. Let f = -4535\/48 + i. What is the common denominator of f and 61\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1\/2596682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*g - 18, 3*r + 0 = g + 8. Suppose -s = -r*s + 233. Is s - (-3 - -3) - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2774, 12100, 28180, 51014, 80602, 116944?\nAnswer: 160040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 339, 391, 441, 489, 535?\n\"Answer: -j**2 + 55*j + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:50 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -317*i - 184. Give q(-2).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.075256 rounded to 3 decimal places?\nAnswer: -2.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 12}. What is prob of sequence vj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22799728 to the power of 1\/2, to the nearest integer?\nAnswer: 4775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 10 = -5*x + 3*x, 2*j - 2*x = 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -85. Let k = -29 + o. What is the remainder when k is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/78 and 43\/76.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2*(-4)\/(-24))\/(14\/(-123186)).\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 p, and 1 x when four letters picked without replacement from llxlxlllbpxxxxppplxl?\nAnswer: 784\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237746586, -237746597, -237746622, -237746667, -237746738?\nAnswer: -237746841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 387, 928, 1641, 2562, 3727?\n\"Answer: 6*o**3 + 50*o**2 + 349*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12473, 49898, 112275, 199604?\nAnswer: 311885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 6378102.\nAnswer: 63781020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*s + 5*s - 4 = 0, -3*s + 20 = -2*k. Let t be (-60)\/k + (-1)\/(-4). Solve -5*q = 3*r - 1, -2*r + 10 = -t*r + 2*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 16*h + 8. Calculate q(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836.1347 kilometers to centimeters.\nAnswer: 83613470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 605.391515?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 146109636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34349\/30 + 1145. Let w(a) be the second derivative of 1\/100*a**5 + 0*a**2 + g*a**4 + 0 + 1\/30*a**3 + 3*a. Let w(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/5 - 1456\/40. Let i = -27 - y. What is the third derivative of -4*r**2 + i*r**2 + 10*r**5 + 5*r**2 - 3*r**2 wrt r?\nAnswer: 600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighty-seven fifths of a kilogram?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45963374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (744\/60)\/((-2)\/(-5)). Let j = s + -27. Let a be (4\/(-48))\/(2\/j). Sort a, 4, 0.5.\nAnswer: a, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3*12\/9 + 2)*-1. Factor 14*x**2 - o*x**3 + 9 + 9 - 25*x - 5*x.\nAnswer: -2*(x - 3)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 9) to base 2\nAnswer: 1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.34 - -192.34. Let m = i + -190.0000626. What is m rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(1*sqrt(117) + sqrt(117) + -1) + ((sqrt(78) + sqrt(78) + sqrt(78)*1)*2)\/(sqrt(18)\/sqrt(27) + sqrt(6)))**2.\nAnswer: -90*sqrt(13) + 26341\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -34. Let v(k) = k**3 + 3*k**2 + 2*k + 2. Let n be v(l). Which is bigger: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/1301 (b) 1010 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -11. Round h to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*j - 23 = 0, j - 3 + 11 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 + 64 = 5*o. Let a = o + 5. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3 - 40*d**2 - 423*d - 882 = 0.\nAnswer: -6, -3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*t**3 + 4*t + 110*t**3 + 118*t**3 - 4*t.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1950*s - 43419 = -3009*s for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*g + 19 = -11, 3*b = -5*g + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f - 115 + 11*f + 65 - 7*f - 180 in the form r*f + l and give l.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*-2*sqrt(204) + sqrt(204) + sqrt(204) + sqrt(204))*5*-3)\/(((sqrt(120) + -3*sqrt(120))*5)\/(sqrt(60)\/(sqrt(6)*-3) + sqrt(10))).\nAnswer: -21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 32*x**2 + 37*x - 207. What is o(31)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Let c be (n\/4)\/(2\/2). Factor c*v - 3\/4*v**2 + 1\/4.\nAnswer: -(v - 1)*(3*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 183*y**2 - 183*y**2 + 10*y**3 + (y**2 - 2*y**2 - 4*y**2)*(4*y + 2*y - 3*y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Suppose -2*s = s. Let l be t(s). Suppose -3*i + 2*i + 32 = l. Calculate the highest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5) - (-88)\/40. Which is the closest to 0? (a) -2\/5 (b) m (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52971 divided by 52971.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -52. What is the third derivative of -1 - 3 - 9 - 33*r**z + 3*r**2 + 4*r**6 wrt r?\nAnswer: -3480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**4\/12 - 41*p**2. Suppose 4*n + 14 = j, 2*j + 16 = -0*n - 3*n. Determine d(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)\/q**(3\/2))**(-1\/31)*(q*q\/q**(5\/4)*q**7*q)**(2\/5) assuming q is positive.\nAnswer: q**(221\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2186*w - 4999*w + 168780 for w.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 350 (c) -73 (d) -5 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24801221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/7, -1, 10, 71, 0.25 in descending order.\nAnswer: 71, 10, 2, 0.25, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 231267 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03173341637 rounded to 6 decimal places?\nAnswer: -0.031733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2.7 (b) 1 (c) 7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*z + 11. Suppose z*t + 2*m = 199 + 38, -m = -2*t + 93. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 215 = -3*z. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -1256)\/(640\/132992) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7*y - 612. Suppose k = 5*f - y, 0 = 4*f - 5*f + 2*k + 27. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-3))\/((-3944)\/44370)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**7\/840 + o**6\/72 + o**5\/20 - o**4\/3 + 5*o**3\/3 + 4. Let t(s) be the third derivative of z(s). Determine t(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/368*1242\/1863?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1593\/16010?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 69. Let z = 27.05 + k. Let x = -0.45 + z. What is x rounded to one 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 587819457?\nAnswer: 3, 89, 244619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(76) + sqrt(76) - sqrt(76))*4)\/(sqrt(144)\/sqrt(4) + sqrt(4)))**2 - (2 + 2 + sqrt(95)\/sqrt(5))*2.\nAnswer: -2*sqrt(19) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2 + 12*y**2 + 28*y**2 + 9 + 2*y**2.\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641236899 to the power of 1\/2, to the nearest integer?\nAnswer: 40512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -32. Suppose 0*o + 28 = 4*o + 3*s, -p*s + 28 = 2*o. What is the smallest value in -0.2, -2\/9, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11135 (base 9) in base 13?\nAnswer: -34a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/18 - 17\/(-36). Let a be (-352)\/(-77) + (-3)\/(-7). Suppose a*p - 2 = 8. What is the nearest to -0.1 in 2\/3, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 74.3. Which is the nearest to 4\/7? (a) 5 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 8. Let t(a) = 201*a - 144. Let j(k) = 18*f(k) + t(k). Let i(v) = -10*v**2. What is i(j(z))?\nAnswer: -479610*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -11)*16\/32\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001189966 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 58529*z**2 + 8155 wrt z.\nAnswer: 117058*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 1073742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y + 275. What is u(36)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Let x be 4*5*t\/(-12). Let r(q) = -9 + q - 3*q + 3. Give r(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**(-8)*t**(3\/5))**(18\/7))**(-9\/13) assuming t is positive.\nAnswer: t**(-9396\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 8:57 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 75*k - 410. Give i(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17\/15 - 1)\/(78\/351). What is the fourth smallest value in 4, a, 2\/13, -92?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21863, -21517, -21185, -20873, -20587, -20333, -20117?\n\"Answer: -s**3 - s**2 + 356*s - 22217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 - -2 - 3) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 756*w**2 + 14*w. Let m(y) = 19*y + 3. What is m(k(f))?\nAnswer: 14364*f**2 + 266*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(2)*-6 - (-4*sqrt(4032) + sqrt(63) - sqrt(63)))\/(-4*(3*sqrt(81) - (sqrt(9) + sqrt(1296)*2))) + -2.\nAnswer: -2 + 13*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9 + 3 = 0. Sort -0.5, -0.1, r in ascending order.\nAnswer: -0.5, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let j be s(2). Let p(d) = 2*d**2 - 2. Let r be p(j). Calculate the greatest common factor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9041*p**2 - 4177*p**2 - 6243*p**2 in the form x*p**2 + a*p + r and give x.\nAnswer: -1379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 3*f + 4*z = 5*f - 5 - 43, -7*f + 50 = -2*f - 4*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - -0.14. Let s = d - 7.2. Is s at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*w + 8 - 1, -6 = -2*r - w. Suppose -12*y + 8*y = -76. Solve -4*h - 5*f = y, 3*f + r = -4*h + 4*f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 + 3*o - 4. Calculate z(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 a when four letters picked without replacement from {o: 2, a: 7, s: 1, g: 4, w: 4}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, -4, 3 in decreasing order.\nAnswer: 11, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = -3*o - 144. Let b(t) = t**3 + 11*t**2 - 14*t - 22. Let a be b(o). Solve -4*d - 4*y + y = -4, -a*y = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/367219480 and 14\/52789.\nAnswer: 4039414280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/((-6468)\/1904) + -60?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13 - 2*s - 5 + 4 - 2*s. Let c(k) = -7*k**2 - k - 1. Let x be c(-1). Is 7 a factor of m(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -4, -8 in decreasing order.\nAnswer: 25, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2\/5*b**4 + 8\/5*b + 0 + 2*b**3 + 16\/5*b**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252125 and 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 12:19 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o + 1. Let k(b) = -b + 2. Let m(d) = -1. Let p(x) = -k(x) - 2*m(x). Let r = -1 - 0. Give r*i(h) + 3*p(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6492 and 2745.\nAnswer: 5940180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(931))**2 + (sqrt(152) + (sqrt(152)*-3*-5 - sqrt(152)) + sqrt(152) + sqrt(152))\/sqrt(8).\nAnswer: -931 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + 0. Calculate the remainder when 236 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*h - 68*h + 183*h = -454*h - 26751 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10414 (base 8) to base 4.\nAnswer: -1010030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.2, 35120, 0.1, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28100 + 28099.88067. Round p to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/t*t*t**6\/t)**(5\/7)\/((t\/(t**(2\/5)*t))**(-25)*t**(7\/5)\/((t\/t**(-8))\/t)) assuming t is positive.\nAnswer: t**(106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89\/3 or 262\/7?\nAnswer: -89\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4394 or 4402?\nAnswer: 4402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 942160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30404 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/6 (b) 4 (c) 1.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/(-18))\/((-6)\/16). What is the second derivative of m + 11*m**4 + 10*m**4 - 15*m**n wrt m?\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33520 (base 7) to base 12\nAnswer: -4ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Let i be l(-2). Suppose -i*d + 10 = -d. Suppose d*o = -0*o - 5. Is o less than or equal to 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*c + 17*c - 6*c + 21*c in the form m*c + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 + 9*c**4 - 2*c**4 + 2 - c**3 - 6*c**4 + 4*c as z + b*c + g*c**3 + n*c**2 + i*c**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -5*y + 40, 71 - 7 = 9*y - 12*f - 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, -3, -2, 10 in decreasing order.\nAnswer: 10, -2, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*p - 4*u, -4*p - 28 = -u + 6. Let v be (2\/p)\/((-6)\/9). Let d be (-2 + 8)\/(-1) + 7. Which is the closest to 0? (a) d (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.6 and -535.\nAnswer: -4601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 10*x - 3*x. Suppose 6*z = -x*z + 552. Calculate the greatest common factor of 23 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9161*r**3 - 9165*r**3 - 45*r + 4*r - 4 - 19*r to u*r + g*r**3 + j + i*r**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 x, and 1 n when three letters picked without replacement from onxxwwff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 19*b**4\/6 - b**3\/3 + b**2\/2 - 4*b. Is n(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 3*p + 2 - 3\/4*p**4 - 2*p**2 + 4\/3*p**3. Suppose -115*j + 110*j = -5*u + 35, 0 = j + 5. What is h(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/142 and 2\/2511.\nAnswer: 356562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -253 + 254. What is the nearest to z in 5, 0.3, -130, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 44.7. Let f = 8003452.7 + -8003454.39999955. Let x = q - f. Round x to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**2 - 854655410*p - 36521793492113405 = 0.\nAnswer: -85465541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -35090170.66 to the nearest ten thousand.\nAnswer: -35090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.5, -0.2, -8295.\nAnswer: -8295, -0.2, 9.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*a**3 - 2756606*a**2 - 27761229*a wrt a?\nAnswer: 96*a - 5513212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 31. Let y(m) = 3*m**3 - m + 10. Let z be y(s). Round z to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o**(-1\/4)\/o)\/o)\/o)*o)**(-3\/29))**(-35\/6)*(o\/(o**(-4)*o)*o*o*o*o*o\/(o\/(o*o**(-3)*o))*o)\/((o*o**0*o*o)\/(o\/(o\/o**(-3\/7)))) assuming o is positive.\nAnswer: o**(12569\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-6))\/((-80)\/(-12) + -6). Let n(p) be the third derivative of 0*p + 1\/100*p**5 + 0*p**3 + 0 - 1\/40*p**4 + p**g. Solve n(a) = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142587 (base 10) to base 8\nAnswer: 426373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 4)*(2*g + 4*g - 4*g) + 3*g + 4*g - 5*g)*(2*g - 2*g - g)*(-5 + 5 + 2).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-88))\/(7 + -6). Let z = -5\/11 + j. Is z at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 1440.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 731 and 11395?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 211151431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 k when three letters picked without replacement from akkkkak.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 - u**2 - u + 1. Let w be v(2). Let k(z) = 18 + 5*z - 9*z + 0*z. Let r be k(0). What is the greatest common factor of r and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 + 77. Suppose c = 3*x - 3285 + 1068. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23765b75 - 3?\nAnswer: 23765b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209 - 38. Let h = 449 - x. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184116 to the power of 1\/2, to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = 18*o - 124. Let l = o + 62. Calculate the remainder when 105 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 - 5*b**3 + 17*b**3 + 8*b**3 + 14*b**3.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 64*a - 1. Let p be t(1). Suppose 30*k + 10*x - 100 = 25*k, 3*x - 93 = -5*k. What is the highest common divisor of k and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 25 = -5*i, t - 17 = -4*i - 3. What is the third derivative of 9*a**2 + 8*a**t - 3*a**2 - 25*a**6 + 4*a**6 wrt a?\nAnswer: -2520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 7*r = 5*r + 43, 4*n - 35 = -r. Let t be ((-8)\/(-6))\/(6\/n). Let a be 21\/(-56) - (652\/(-32) + -2). Calculate the greatest common divisor of a and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4235) + sqrt(4235)*-1 + sqrt(4235) - sqrt(4235))\/((sqrt(49) + sqrt(245)\/sqrt(5))\/sqrt(7)))**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448792209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 41 + -51 + -30?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -41, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j + 105. Let o = j + 15. Let b be 4\/6 - (-1)\/o. Is 2 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -101629591673 from -886.\nAnswer: 101629590787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*n + 13 = 0, 2*s = -0*s + 5*n + 5. Let h(j) = -j**3 - 3*j**2 + 2*j - 4. Let c be h(-4). Solve -c*t - s = 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 7*g - 2. Let s be f(-6). Sort s, 5, -2 in decreasing order.\nAnswer: 5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 4*x - 240 = 0. Let j be 14\/48 + 2 + (-65)\/x. Factor 1\/3*y**5 - j*y**4 + 0*y**2 + 0 + 0*y + 1\/3*y**3.\nAnswer: y**3*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1078 and 756?\nAnswer: 58212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/107 in -14, 0.5, 0.1, -20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from kknwwwwwwwwnw.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -922, -5, 13258, -4 in descending order.\nAnswer: 13258, 4, -4, -5, -922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33033 and 858.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 5 (c) -2\/15 (d) -0.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -233363.607.\nAnswer: -233363.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 212421 (c) 282\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191*f**5 + 56*f.\nAnswer: -3820*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -202*w**2. Let i(v) be the first derivative of 45*v**2\/2 - 2799. What is l(i(p))?\nAnswer: -409050*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26352 and 45799344.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 782 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -363\/967, -3, -1\/2?\nAnswer: -363\/967","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413258 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30931979508.9 - -30932032669.9419916. Let v = -53161 + n. Let y = 0.042 - v. Round y to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 9. Let v = -5.8 + 0.8. Let l = g + v. Is -1 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-15)*(f\/(f\/(f*f**15*f)))\/f*f*(f**(2\/13))**3 assuming f is positive.\nAnswer: f**(32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*k = 39. What is the remainder when (2\/((-4)\/3))\/(12\/(-408)) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00466156 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 325*n - 330*n + 3*x - 2*x + 22 + 244, -2*n = 25*x - 208 for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 1 + 1. What is o in -2*o**2 + 2*o**v - 2*o**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -29, -42, -57?\n\"Answer: -n**2 - 8*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147*(-10)\/840)\/(4\/8*-1).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92858*n**2 - 92197*n.\nAnswer: -185716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52, 31, -4, -59, -140?\n\"Answer: -t**3 - t**2 - 11*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 54*z**2 + 43*z + 2318. Determine h(-54).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 17 + 18 + 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -126123690 divided by 80745?\nAnswer: -1562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2285*d - 2185*d + 1600 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 - -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (4 + 3 + -1)) + -16 + 38?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6435*t**3 - 19307*t**3 + 6440*t**3 + 6425*t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - u**2 - u**4 + 2*u**2 + 1 + u + u**3 - 13*u to a*u**3 + w*u**4 + r*u + b + z*u**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine fourteenths of a week?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 - -2.2. Which is the nearest to 1? (a) 5 (b) p (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13151383?\nAnswer: 7, 1878769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.957187 minus -2?\nAnswer: 27.957187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 296*i**4 - i + 262 wrt i.\nAnswer: 1184*i**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7193673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2, -8*m + 11*m - 5*v = 373. Suppose -c - m = -192. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*l**5 - 14079*l**4 - 205770*l**3 - 785376*l**2 + 2499072*l + 24576 = 0. What is l?\nAnswer: -16, -1\/102, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14\/15, 5, -6 in descending order.\nAnswer: 5, 14\/15, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*f - 2 = -0*u, 2*u = 2*f. Solve 6 - u = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4648799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -61573817.2 to the nearest 10000.\nAnswer: -61570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1669342?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from totolloltootolo.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 4 - 2*k**4 + 4*k**4 - 2*k**4 - 4*k**4 + k to the form a*k + x + r*k**3 + p*k**4 + c*k**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + 3*(sqrt(70) + -1*sqrt(70)) + sqrt(70))\/(sqrt(10)*-2*-5).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 5 (c) 0.4 (d) -124 (e) 2 (f) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41510729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - j + 26 = 0, -2*p + 18 = 2*p + 5*j. Suppose -2*l + c - 26 = -5*l, -3*c - 3 = 0. Let i(k) = 2*k + p - k - l. Give i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*i + 122. Suppose -h = -i - 27. Let v(w) = 4*w + 2. Let f be v(5). Calculate the highest common factor of f and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2233 - 373?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-6)\/(-72)*-4). Let z be (25\/y)\/(40\/(-96)). Solve h + z = -1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76018557751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 27*v**2 + 111*v - 167. What is r(-11)?\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50111 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1893*u**2 + 948*u**2 - 11*u + 948*u**2.\nAnswer: 3*u**2 - 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -1. Let a(y) = 4*y**3 - 5*y**2 - 4*y - 3. Let w be a(-3). Let j be (-2)\/(-5) + w\/135. What is the closest to j in c, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/(-3))\/(2\/14). Let u = f - -64. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14223\/5735 + 92\/37. Let t(j) = -512*j + 1535. Let z be t(3). Which is greater: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 1 - 9\/(-3). Suppose x*f - 6 = f. Solve 4*p - f = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 1)\/(327\/(-218)). Solve -7*w - 3 = l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 2*u - 5*u - 8 + u - 1. Let t be c(4). Let q be 1 - (-2 - t) - 0. Solve 5*m + 31 = -q*i, 3*i - m = m + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/3*32\/56.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5951712 or 5951701?\nAnswer: 5951712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 369 = 3*h. Calculate the remainder when h is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-188)\/47 - (-2 + (-24)\/9). Let q = 122 + -122. What is the closest to q in -0.1, -12, t, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 548.\nAnswer: -16.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Let o be (((-2)\/6)\/((-4)\/(-24)))\/2. Does o = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + 15*c - 20. Give l(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 4 + 9*y**3 - y + 7.\nAnswer: 9*y**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - s**2 - 1 + 2*s**2 + (0*s**2 + 2*s + s**2 + 0*s)*(33 - 3 + 1) to t*s**2 + j + q*s and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/6*213\/710. Put -0.1, 5, 0.8, l in descending order.\nAnswer: 5, 0.8, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 8*w - 13. Determine j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.79066 to 1 decimal place.\nAnswer: 76.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 7. Let f(n) = -3*n - 20. What is 3*f(s) - 8*k(s)?\nAnswer: -s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 380*a + 124 - 163*a - 184*a. What is the units digit of w(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 28560072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152 + -164 + (6 - 11).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.5 + 1.5. Which is the nearest to 1\/2? (a) -1\/3 (b) l (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 3. Let a(u) = 150*u + 375. Let h(p) = a(p) - 125*z(p). Determine h(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -284.96 + 285. Let t = -4.4 - -4. Put t, -4, a in descending order.\nAnswer: a, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89651558.\nAnswer: 2, 71, 769, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3424, 3570, 3810, 4144, 4572, 5094?\nAnswer: 5710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6275 is divided by 857.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 - -94. Find the second derivative of 4*r**5 - 13*r**5 + 2*r**a + r wrt r.\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 1001*c**2 - 97006*c - 370. Calculate g(89).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -6*o + 2*o + 12, 0 = -4*m + o + 22. Solve m*g + 8 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-16)*4*-28\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 32*h + 13. Let i be t(9). Suppose 5*r - 10 = 0, i = -2*u - 3*u + 2*r. Which is greater: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = 40*p - 12*p. Determine r, given that 0 - 8*r**5 - 2*r + p*r**2 - 33\/2*r**3 - 28*r**4 = 0.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 22 = 5*q. Let m = 3 - q. Suppose -4*v + 0*v + 12 = m. What is the remainder when 5 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32118 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 133330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 986\/22 + 4\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74781962 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - t**2 + t**2 - 2 as j*t + m + k*t**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 + 5*f**2 - 2. Let z(u) = -3*u + 23. Let s be z(9). Let c(x) = -3*x**3 - 6*x**2 + 2. Give s*k(i) - 3*c(i).\nAnswer: i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 62*l + 585. What is h(-9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52764876 is divided by 215.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**2 + 2*r - 2. Let l be m(-3). Let h = l - -85. Let g(w) = w**2 - 9*w + 16. Let d be g(9). Calculate the greatest common factor of d and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 13*f**2 + 47*f + 863. Let a be n(-14). Solve 581 - 545 = a*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - 2. Let i = 11.32 - -17.42. Let w = -3.74 + i. Put r, w, -5\/3 in increasing order.\nAnswer: -5\/3, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216) + -2*(sqrt(216) + 1*sqrt(216)) - sqrt(216))\/(-1*sqrt(216)))\/(-3*sqrt(12)*-1 + sqrt(12) + sqrt(144)\/(-3*sqrt(12) - sqrt(12)))*-6)**2.\nAnswer: 256\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2432)*1)\/(-1*sqrt(50)).\nAnswer: -8*sqrt(19)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 14*q**2 + 129*q + 151. Give v(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(2\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**2 - 6*v - 6. Let a(c) = -c**2 - c - 1. Let b be ((-2)\/4)\/((-4)\/(-8)). Let k be ((-7)\/(-2) + -4)*-12. Calculate b*r(x) + k*a(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:36 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.002? (a) -1 (b) -5 (c) -6 (d) 2 (e) -14873\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {x: 2, t: 1, a: 3, c: 1, v: 3, g: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**22*g**24)**(-3\/2) assuming g is positive.\nAnswer: g**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 37\/5 of a kilometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 757275454 to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 3. Let r be 12*28\/(-168)*2. Let m(i) = 2*i + 2. Give r*m(z) + 3*a(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 + 4*x**2 + 34*x - 1. Does 23 divide k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4*1*-14. Suppose -4*w + o = -2 - s, -5*o - 28 = -3*w. Let y = 13\/4 + -31\/12. Is w less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 92 in 1061, -3\/7, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u - 12. Let t(q) = -q**2 - 3*q - 6. Determine t(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {t: 7, w: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38325, 1, 2, 3, -19.\nAnswer: -19, 1, 2, 3, 38325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 12058.\nAnswer: 2278962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88680000 rounded to the nearest 1000000?\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*k + 5 = -0*k, 5*u + 2*k + 1 = 0. Calculate the least common multiple of 5\/5 - 9*u and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + -4*(-1 + sqrt(1053))*-1).\nAnswer: -18 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**8\/560 - k**6\/180 - k**3\/3 - 2*k. Let r(n) be the second derivative of x(n). Find the third derivative of r(f) wrt f.\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4262*x + 12*x**2 - 2120*x - 2142*x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*y = 1890*y + 26624 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 15*l - 5*t - 1490, -3*l + 5*t = -902. Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*m + u - 20, -5*u + 10 = -3*m. Suppose 3*l = -m*i + 5, 3*l - 6*i = -i + 25. Solve 0*k - k = v + 9, -l*k = 4*v + 41 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359791 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26767\/6 + 4475. Calculate the common denominator of o and (17\/8)\/((-7)\/12).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*b**2 - 81*b**2 + 41*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*j + 1168 = -88*j - 402 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24499, 52728, 80957, 109186?\nAnswer: 137415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/73, -0.7, 0.2, -6\/11, 4, 17 in decreasing order.\nAnswer: 17, 4, 0.2, -2\/73, -6\/11, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1847*a**3 - 1529 wrt a.\nAnswer: 5541*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3109, -4646, -6171, -7684, -9185, -10674, -12151?\n\"Answer: 6*z**2 - 1555*z - 1560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, l: 1, q: 8}. What is prob of picking 3 q and 1 m?\nAnswer: 616\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -628 - -630. Solve -10 = -p*d, -o - 3*o - d + 13 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 5*u**2 + u + 2. Suppose 0 = -5*r + 3*g - 12, -152*r = -151*r - 5*g - 2. Determine t(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - h**3 + 0*h**2 + 19*h - 19*h - 70*h**3.\nAnswer: -71*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 351 + 1791 = 0. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(5\/6)*((-132)\/16)\/((-1392)\/928)?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 2)*6\/2. Let d(y) = y**3 - 2*y. Let h be d(x). Let a = 33 - h. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-5)\/(150\/(-8)))\/((-6)\/(-279)) and 16\/89.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-29 - -43) - (2 + 6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 a when three letters picked without replacement from lbllxlxllbllballlxa.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1 (c) -15 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/4, -0.17, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (311*l**3 - 626*l**3 - 43*l**2 + 306*l**3)*(1 + 1 - 3).\nAnswer: 9*l**3 + 43*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 15 = 5. Let a be (6 - (-22)\/(-8))*(-18)\/(-230 + -4). Let y = -0.7 - -0.9. What is the closest to a in y, i, 2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 65*m**2 + 144*m - 54. Let a be r(63). What is the greatest common factor of 120 and a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*(0 - 1). Let l be (6\/(-46))\/((-18)\/12). What is the biggest value in l, 4\/7, g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6891?\nAnswer: 3, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5 - 5*u + 2*u + u. Let v(m) = -2*m**3 + 3*m**2 + m - 6. Let i be v(2). Is 3 a factor of o(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6358.398g to micrograms.\nAnswer: 6358398000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.67 - -0.33. Let n = q - 22. Let z = -8 - n. Which is the second biggest value? (a) 2 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -0*w. Suppose -j = 2*c + 5, w*j = 3*c - 2*c + 20. Suppose 8*o - j*o = 33. Solve 3*f + f = -5*k - o, 19 = 4*f - 5*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3.9. Let f = 0.1 + j. Let b = -0.3 + 0.4. What is the nearest to b in f, -1, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**3 + 3*r**2 + 6*r + 4. Let k be s(-1). Solve j - 4*j - 2*c = -5, -k*j = 5*c - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Find the first derivative of 217*o**3*w*x**2 - o**3*w + 15*o**3 + 133*o + 2*w*x**2 wrt x.\nAnswer: 434*o**3*w*x + 4*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4772 - -4796. What is the greatest common divisor of 1884 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3\/14)*p*p*p**39)\/(p**(-22\/3)\/(p*p**(-1\/23))) assuming p is positive.\nAnswer: p**(48787\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15592, 30936, 46280?\n\"Answer: 15344*h + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 52*o - 242. What is the remainder when 3815 is divided by y(-19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53\/4 - 13. What is the closest to d in 2\/9, -1, 2\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 + 12*k**3 - 94*k**2 - 120*k + 200 = 0.\nAnswer: -10, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 16. Let a(g) = 41*g**2 - 40*g**2 + 3 + 2 - 7*g + 1. Give a(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-g - g - g)*(-2*g**2 + g**2 + 2*g**2) + 6*g + 4*g**3 - 6*g + (g - g - g**2)*(2 - 2 - 2*g))*(-2*g**2 + 5*g**2 - g**2).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.76814 nanograms to kilograms.\nAnswer: 0.00000000001576814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4*3 - (-7)\/20. What is the second biggest value in u, 0.1, -2, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1 - 6*h - 3 + 0*h - h**2. Let n be p(-4). Let a = n + -4. Are a and 0 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 11, f: 5, x: 2}. What is prob of picking 1 u and 2 x?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 7*u - 4*u - 95, -2*u = -g - 30. Let l = g + 36. Suppose 4*r - l = -0. Solve 5*s = r*z - 31, -z - s = 2*s + 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2 - 4 - 7 - 3 + 3 - 7*v. Let j(o) = -3*o**2 + 3*o + 5. Let r(n) = -7*j(n) - 3*s(n). Differentiate r(m) with respect to m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (119 + 1)*(-6 + (-44)\/(-8))*(-116)\/(-145)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -34. Suppose m + 5*h + p = -3, 2*m = -3*h - 10. Let t(v) = -4*v. Let x(a) = 7*a. Determine m*t(o) - 3*x(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/4797 + 13148\/1599. Let f = r + -287\/36. Factor -1\/4*t**3 + 0*t**2 + f*t + 0.\nAnswer: -t*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j + 3. Give t(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s**2 - 10*s - 3*s**3 + 9*s + 0*s + 6*s**2 + s**2 to c*s + v*s**2 + t + j*s**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - 1212022?\nAnswer: -1212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m + 0*m**3 + 10*m**2 - 6 - m**3 - 5*m**2. Is s(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -739, -959, -1181, -1405?\nAnswer: -1631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38913)\/216 - ((-68)\/18 - -4). Let v = -666546497\/72 + 9257764. Let q = b + v. What is the common denominator of q and 21\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(108)*3 - sqrt(108))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeee. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-8))\/p**(-18) assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-8))\/((-6)\/40). Suppose 9 + 26 = n*q. Calculate the remainder when 24 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r - 17*r + 9*r. Let b(k) = -5*k**2 - 7. What is b(c(p))?\nAnswer: -5*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 = -u, 14 = -a - 4*u + 6. Suppose -2*z - 3*x = -0*x + 12, 2*z + 5*x + 16 = 0. Calculate the least common multiple of 5 + 2 + z + a and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 3)\/(-1)*(9 + -493). What is the highest common divisor of 33 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15434 + -15431. Suppose -a + 3 = 1. Solve -3*d = a*z + 13, 4*z - 1 = -i*d - 24 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 3:28 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14521980, -14522103, -14522224, -14522343, -14522460, -14522575?\nAnswer: -14522688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1402150280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 15*x**2 + x - 12. Let s be o(15). Let b(m) be the first derivative of 2\/3*m + 5\/9*m**s + 3 + 7\/6*m**2. Find j such that b(j) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 14 = 2. Let i be (-12)\/8*8\/(-6). Solve -i*t - l = -0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*r - 125*r + 1073*r**3 + 62*r.\nAnswer: 1073*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 9:32 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - d + 5 + 44 = 0, 5802*d = -3*t + 5797*d + 25 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -621280.9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(6)\/sqrt(3))*5.\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -6. Suppose -27*g + 24654 = -i*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/4 (b) -29 (c) -53.3 (d) 1\/2 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 525.1066 times -0.5\nAnswer: -262.5533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4 - 5 + 3 + 4 + (-1 + 4 - 4)*(2 - 6 + 3) + 2 + 0 + 0)*(4*x**4 + 0*x**4 + x**4).\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168654290.\nAnswer: 2, 5, 7, 2409347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 328.18 and 7.\nAnswer: 335.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -730869 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222448427.\nAnswer: 222448427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -307946, -307944, -307942, -307940, -307938?\n\"Answer: 2*m - 307948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5416 a factor of 766386510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Let c = g - -4. Put 5, 0, c in descending order.\nAnswer: 5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.6 and -199.1?\nAnswer: -716.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2835*r**4\/4 - r**3\/3 - 215*r**2\/2 - 2*r - 2997. What is the third derivative of g(k) wrt k?\nAnswer: -17010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.03 (c) 5\/2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-324708)\/(-10)*((-1325)\/(-75) + -16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/129 and 15\/11.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 110115342?\nAnswer: -110115322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -11.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 580*l - 1738\/3.\nAnswer: -2*(l - 869)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2. Let p(c) = -5*c**2 - c - 13. Let j(s) = 6*k(s) - p(s). Let x be j(0). Let f(i) = -13 + i + x. Let g(m) = 7*m. Determine f(g(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 51 = -8*k + 12*k, 0 = 3*o + 4*k + 29. Calculate the common denominator of 91\/22 and -2 + ((-2332)\/8)\/o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -162, -170, -180, -192, -206?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = r + 3, 2*r + 6*q - 27 = q. Let y be (8\/(-20))\/((-2)\/10). Suppose y*u = -3*u + 10. Sort r, u, -5 in increasing order.\nAnswer: -5, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24352020 and 61495.\nAnswer: 24352020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 + 2 + 597*x - x**4 - 73048*x**2 + 73048*x**2 to the form z*x**2 + l + y*x**4 + a*x + n*x**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 2.47.\nAnswer: 4.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*b - 222*b - b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519.4264kg to micrograms.\nAnswer: 519426400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 9520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*(b*b\/(b\/(b**5\/b*b)))\/b)\/(b**(-3\/4)*b))**(-2\/45))**(-12\/11))**(19\/3) assuming b is positive.\nAnswer: b**(874\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15989?\nAnswer: 59, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 - 3*r - 2. Let g(p) = 7*p - p**2 - 23*p + 16*p. Calculate 6*g(m) - v(m).\nAnswer: -m**2 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 - 32 - 7944)*(0 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 2\/(-5)*(-60)\/8. Suppose -2*u = d*y + y - 14, 35 = 4*y - 5*u. What is the highest common factor of 40 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiooiioaosioooo. What is prob of picking 1 s and 1 i?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 2*w - 5*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 110?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + 2*g)*(1 + 0 + 1) - g + 0*g - g + 4*g + 3*g - 6*g + 0*g + 3*g - 2*g - 39 - 5*g + 39 + (2 + 0 + 0)*(-2 - g + 2).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i, 4018*i - 3014744 = -3*v + 4014*i. Round v to the nearest ten thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(d - 3*d + d)*(3*d**2 - 5*d**2 - 2*d**2)*(-9 + 9 + 4*d).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + 16*f + 10. Let q(x) = x**2 - 2*x - 1. Let h(i) = 2*q(i) + z(i). Let a be h(12). Calculate the highest common factor of 22 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 2*j + j + (0 - 1 - 1)*(0*j + j - 2*j) + 2 - 2 + j - j + 5*j + 3*j + (-4*j - 2*j + 2*j)*(-4 - 7 + 1).\nAnswer: 51*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*r - 22*r - 798. What is the derivative of -101 + 206 + 216*c - r*c wrt c?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**2 - 647940*o + 104956560900 = 0?\nAnswer: 323970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52983, -52994, -53005?\nAnswer: -53016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {g: 3, y: 2, l: 6, c: 2, h: 3, j: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3213954 divided by 18\nAnswer: 178553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 6*q + 2. Let d be h(-6). What is the second derivative of 11*n**2 + 0 + 0 + 4*n - 4*n**d wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/249 or 0.0491647?\nAnswer: 0.0491647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -123700 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142445 - -11130?\nAnswer: 154015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 1*(sqrt(192)*1 + sqrt(192)) - (0 + (sqrt(192) - 1*sqrt(192))**2)) + (sqrt(192)*1 + 4)**2 + 2*1*sqrt(192) + 5.\nAnswer: 104*sqrt(3) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*c - 140, 111 + 227 = 5*p + 2*c. Find the second derivative of -h + 35*h**3 + 0*h - p*h**3 + 31*h**3 - 32 + 88*h**4 wrt h.\nAnswer: 1056*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 14043*b**2 - 2689*b**2 - 2*b + 3756*b**2 to the form j*b + f + u*b**2 and give u.\nAnswer: 15110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16048*t**3 + 68051 wrt t.\nAnswer: 48144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 867, 2102, 3827, 6042?\nAnswer: 8747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12247 or 12244?\nAnswer: 12244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-5) - (-6)\/(-15). Let c be 2 - -4 - (10 + k). Is 12 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1098409 (base 10) to base 16.\nAnswer: 10c2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3227, -6056, -8885, -11714, -14543, -17372?\nAnswer: -20201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = 2. Let v be (-6)\/u + (-5 - -20). Find the second derivative of v*b**4 + 3*b - 84 + 3*b + 84 wrt b.\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Let u(v) be the first derivative of v**3\/3 + v**2\/2 - v - 2. Determine u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4, 2\/45, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -123, -227, -317, -387, -431, -443, -417, -347?\n\"Answer: v**3 + v**2 - 114*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -169 + (35 - 20) - -21 - -28\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and -19670.8.\nAnswer: 29506.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2612952 is divided by 80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 183?\nAnswer: 183.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -637656 - -1912969\/3. Factor 4\/3*k**3 - h*k**4 - 16\/3*k + 0*k**2 + 16\/3.\nAnswer: -(k - 2)**3*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 371*r - 430*r + 885 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -273474482, -273474483, -273474484, -273474485?\n\"Answer: -s - 273474481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or 1\/8285?\nAnswer: 1\/8285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xggddggxcgxggx. Give prob of picking 1 d and 1 g.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) -3 (c) 0.3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000 a factor of 105782356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biaasqh. What is prob of picking 1 b, 1 q, and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -109. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -127, -5, 353, 1025, 2089, 3623, 5705?\nAnswer: 8413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 1.972\nAnswer: 0.1972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 18 - 22. Let y(u) = 19*u - b*u**2 - 3 + 19*u - 40*u. Let c(z) = -6*z**2 - 6*z - 9. What is -3*c(h) + 8*y(h)?\nAnswer: 2*h**2 + 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -177*g**2 - 75. Let p(j) = 1. Let y(s) = -15*p(s) - v(s). Differentiate y(f) with respect to f.\nAnswer: 354*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 906429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530891598.\nAnswer: 2, 19, 293, 359, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11*(-5)\/(-8) + 15\/120. Let j be 68\/t - (-5 - 264\/(-56)). Let h(n) = -5*n - 10. Let c be h(-7). Calculate the highest common divisor of c and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1216) + 3 - sqrt(1216)) - (((sqrt(228)*1)\/sqrt(12))**2 + (sqrt(19) - (sqrt(19) + sqrt(133)\/(2*sqrt(7))))**2).\nAnswer: -119\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7769181829.\nAnswer: 241, 461, 69929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3*z - 2)*(3*z + 2*z - z) + (-42*z + 11*z + 15*z)*(-6*z - 5*z + 4*z) as f + h*z**2 + w*z and give h.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o + 0*o - o)*(-2 + 0 - 5)*(2 - 6 + 2) + (-4*o + 0*o + 2*o)*(1 - 2 + 3) - 3 + 3 + 2*o)*(-o + 12 - 12).\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.051303 rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -0.07, 2\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 13 + 40. Let c(z) = 2*z**2 + 11*z + 14. Let h be c(b). Calculate the highest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -4. Suppose 0*k = -t*k + 120. What is the greatest common divisor of 330 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4651 + 7843. Is z a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1141*l + 2481*l - 1231*l + 1962 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/2, -2\/9, 2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-8)\/(336\/441)))\/((-5)\/7)*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -50. Which is the third biggest value? (a) 1.5 (b) s (c) 4 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -52?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnpzpnpnjj. Give prob of sequence jz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 - -911\/8. Is -1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -83\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 7*i + 15. What is p(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 307511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010372089 rounded to 6 decimal places?\nAnswer: 0.001037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 369448.9 millilitres in litres?\nAnswer: 369.4489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/7100 and 91\/860?\nAnswer: 305300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153\/5*n**4 + 126 + 6\/5*n**5 + 711\/5*n**2 + 537\/5*n**3 - 1731\/5*n = 0. Calculate n.\nAnswer: -2, 1\/2, 1, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (9 + -13 - (-2 - 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -824.2 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 43 + -4 + 34 + -76.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -702 + -24?\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 567644 - 567644.1462701. Let d = 0.1462 + s. What is d rounded to 6 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (2 - 9) + 0 - (65 + -54).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a8b32 - -3?\nAnswer: a8b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*o**2 - 248 - 31*o**2 - 5)*(-7*o**2 + 4*o**2 - o**2).\nAnswer: -8*o**4 + 1012*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 21 - 10*c - 13*c + 3*c - 3*c + 6*c.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cpcppcccpppp?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 25, 41, 75, 133, 221?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-45)\/(-6))\/(-5)*(-3920)\/(-14630). Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34080 = -860*c - 1556*c + 19072 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5, -32.\nAnswer: -32, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-28)*5*((-96)\/55)\/6.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 184, 362, 526, 670, 788, 874, 922, 926?\n\"Answer: -h**3 - h**2 + 188*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8327541, -8327540, -8327539, -8327538?\nAnswer: -8327537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*p - 27. Suppose -18 = 8*j - p*j. Are 17 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 14 = -19*v. Suppose 3*l = v*t - 279, 3*t - 3*l - 484 = -70. Suppose -6*s - 21 + t = 0. Solve 5*i - y + s = 0, -3*i - 4*y + 4 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86953354 divided by 2\nAnswer: 43476677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 354177 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 + 14536*y**2\/7 + 58168*y\/7 + 58176\/7.\nAnswer: -2*(y - 7272)*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2, -3, 48\/25, -347, -1\/7, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.68 - -0.38. What is the second biggest value in c, 10, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 1:19 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -605, -606, -607?\n\"Answer: -r - 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-297)\/(-54))\/(2\/4). Suppose 0 = -x*o + 1890479 - 67780479. Round o to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11530577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244367685 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(171))\/(1*sqrt(18)\/sqrt(2) + sqrt(9)))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c - 21*c = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*i = 12, 4*q - 5*i + 0 = -6. Let s be 2420\/25 + (-1)\/((-5)\/q). Suppose 0*y = -y - c + s, 197 = 2*y + c. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 112*g - 41*g - 107*g - 14*g**2 - 2*g**2 + 0.\nAnswer: -16*g**2 - 36*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 8:09 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-2448))\/(1670\/(-2672))?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3264 and 23\/2448?\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0787 + 0.2?\nAnswer: 0.1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*v)*(v**3 - 7*v**2 - 3*v**2 + 11*v**2 + 98*v) in the form a*v**3 + y*v**4 + t*v**2 + s*v + z and give t.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.077 from 1274.\nAnswer: 1274.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 16) + 8 + 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 + 0*m**4 + 4*m**4)*(-m + 4*m - m + (-1 + 1 - m)*(5 - 2 - 4)) + 13*m**3 - 13*m**3 + m**5.\nAnswer: 7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/99020302 and -10\/2447.\nAnswer: 99020302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2331, 1210, 89, -1032, -2153, -3274?\n\"Answer: -1121*k + 3452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -94*a - 81*a - 224*a + 213*a = -2976 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q = -30*q - 90. Suppose -5*a + q*u = 11*u - 63, -u = -3. Solve -17*i = -a*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2, -6857?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Suppose -m = d*m + 3*f - 29, -3*f = 15. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5 - 13*x**4 - 30*x**3 - 2*x**2 + 29*x + 15 = 0. What is x?\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5 - 24*b**4 + 161*b**3 - 254*b**2 - 660*b + 1400 = 0.\nAnswer: -2, 2, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (-2 + -1 + 1). Let d be -2 + 2 - 1*o. Let k be (21\/6 + -5)*(2 - 4). Solve -15 = k*p + d*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/3 - 4*a**3\/3 + 96*a**2 - 7*a + 28. Factor k(f).\nAnswer: -4*(f - 6)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -101, -250, -479, -782, -1153, -1586, -2075?\n\"Answer: a**3 - 46*a**2 - 18*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r - 2*r. Let d(u) = -7*u**2 + 4 - u**3 + r*u**3 - 2. List the prime factors of d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*(h\/(h**(-1\/9)*h))\/h*h)\/h)\/h)\/h*h*h**(-3\/8))**(-1\/28) assuming h is positive.\nAnswer: h**(13\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 240924877 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 24*b**2 - 12. Calculate z(24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:10 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6870 + 6957. Which is the nearest to 0.2? (a) 5 (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, z: 2, n: 1, u: 6, r: 3, s: 3}. What is prob of sequence rgz?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**3 + 7*q - 6. Let w be g(2). Calculate the highest common factor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**5\/20 + 5*o**4\/12 - 2*o**3\/3 + o**2 - 5*o + 1. Let i(c) be the first derivative of x(c). What is i(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -420, -949, -1680, -2607, -3724?\nAnswer: -5025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -386442\/13 + 3900425\/156. Let q = -4732 - v. Calculate the common denominator of -4\/15 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - s = 86, 6*s - 5*s - 2 = 0. What is the tens digit of (-75536)\/(-176) - 4\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2448)*-2)**2 + 1 + (sqrt(2448)*-2)**2 + 2).\nAnswer: -19587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4 = -0*v. Let t be 2 + (-2)\/(-1) - v. Let p(k) = -44*k - 4 + t + 43*k. Give p(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z - 1. Suppose -j = z - 8. Suppose -j*y + 2 = -10. Which is the third smallest value? (a) 4 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - s + 1. Calculate l(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (1 - 15\/(-6)). Let t be 53 + -53 + 3\/15. Put f, -5, 0.5, t in increasing order.\nAnswer: -5, f, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 18*h**2 + 17*h + 8. Calculate d(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, -27, -13, 37, 135?\n\"Answer: 2*j**3 - 24*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -65\/2. Let g = -17 - -16.87. Which is the second smallest value? (a) g (b) h (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 538 or -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1. Let n(y) = -y - 7. Let k(o) = -21*l(o) - 3*n(o). Let p(m) = -m**2 - m**2 + 6*m**2 - 5*m**2. Determine p(k(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 286\/242 - (1 + 0\/(-1)). Let o = 7 - 11. What is the biggest value in o, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, n: 3}. Give prob of picking 2 n and 1 l.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 + 10 = 0. Let s(i) = 8*i + 5*i**3 - 4*i**3 - 10*i - 4*i**2 - 12. Calculate the remainder when s(j) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 10920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-91)\/3 - (-14)\/42. Let h be (n\/(-6))\/((-10)\/(-4)). What is the third derivative of h*r**2 - 8*r**2 - 67*r**4 + 4*r**5 + 67*r**4 wrt r?\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2269.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 262?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/25))**(-50)\/(l**(-6)\/((l*l**10)\/l)) assuming l is positive.\nAnswer: l**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -36. Let z = 21\/4 - l. Let u = 2308\/15 + -154. What is the closest to 1 in -3, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 9:15 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w + 5. Let t(r) = -10*r + 16. Let v(p) = 7*m(p) - 2*t(p). Let z be v(1). Suppose -10 + 36 = z*b. Calculate the remainder when 25 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218457 and 3880983?\nAnswer: 2697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-5 - (21 + 2))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8.105403 times -0.1\nAnswer: -0.8105403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10100010001101 (base 2) to base 12\nAnswer: 6011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -144*p**3 + 388*p**2 + 144*p + 8. Let x(r) = r**2 + r - 1. Let u(v) = h(v) - 4*x(v). Find s such that u(s) = 0.\nAnswer: -1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q**2 + q + 24. What is p(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i + a + 25, i + 29 = -5*a. Let c = -1 - i. Solve 5*z + 14 - 45 = 3*v, c*v - 19 = -5*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1361, 2723, 4085?\nAnswer: 5447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -553 minus 0.09271?\nAnswer: -553.09271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102\/7 at most 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 4*k - 318016, 0 = -v + k + 106004. Let t be ((-20)\/(-40))\/(1\/v). Round t to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93833*r**3*s**3 - 6*r**3*s + 7*r**2*s**2 - 125*r + 1 wrt s.\nAnswer: -562998*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, b: 9}. Give prob of sequence bbb.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 288, 570, 850, 1128, 1404, 1678, 1950?\n\"Answer: -d**2 + 285*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-5)*h*h)*h**(-4\/7))\/(h**(-7)*h\/(h\/h**4)) assuming h is positive.\nAnswer: h**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven fifths of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3, 6.6, -8\/7, 1, 0.4, -16 in decreasing order.\nAnswer: 6.6, 3, 1, 0.4, 0.2, -8\/7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3031 - 3016. Solve m = -3*o - 7, -5*o = -u*m + 17*m + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 183, -2\/5 in descending order.\nAnswer: 183, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - (11 + -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8860035 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8.7. Let u = 7.6 - l. Let a = 8 - u. Put -3\/4, -0.4, a in ascending order.\nAnswer: -3\/4, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692929090 to the power of 1\/3, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 7616?\nAnswer: 22848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1756, -3513, -5270, -7027, -8784, -10541?\nAnswer: -12298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - -70*(-1600)\/3500.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6*55070\nAnswer: 330420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:51 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54803580.\nAnswer: 2, 3, 5, 13, 17, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217701848.\nAnswer: 2, 7, 13, 19, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -211 or -198?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 8802*v - 759615.\nAnswer: -3*(v - 2845)*(v - 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -10*v + 78. Let y = v + 26. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411\/2 or 207?\nAnswer: 411\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -584466691989 - -0.4?\nAnswer: -584466691988.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1304*x - 3*d = 1307*x - 123, 5*x - 185 = -d. Calculate the remainder when 991 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**2 + 4*u + 6. Let p(f) = -19*f**2 + 11*f + 11. Let b(v) = 78*v**2 - 45*v - 43. Let t(m) = -2*b(m) - 9*p(m). Calculate -13*a(h) - 6*t(h).\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1)**(1\/23) assuming s is positive.\nAnswer: s**(2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 539976, 539991, 540006?\n\"Answer: 15*w + 539961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*-4 + 1 + sqrt(18)\/sqrt(9) + (((sqrt(4)*4)\/sqrt(2))**2 - sqrt(2)) + (sqrt(50) - (sqrt(250)\/sqrt(5) - sqrt(50)))**2.\nAnswer: -48*sqrt(2) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -17. Let i be (10\/(-7))\/(4\/(-14)). Suppose 4*l + i*w = -0*w + 1, 2*l - 3*w + 5 = 0. What is the closest to 1 in 0.5, l, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -126 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 919322 and 0.08.\nAnswer: 73545.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1172\/13 - -90. What is the third smallest value in w, 13, -2\/7, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-24\/11)*i)\/i**(1\/33))\/(((i\/((i**22\/i)\/i*i)*i)\/i)\/i**(-16)))**36 assuming i is positive.\nAnswer: i**(1500\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5266?\nAnswer: 2, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otptkpktpppto. What is prob of picking 1 k, 1 t, and 1 p?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 1. Let j be (-2)\/(-6)*(-54)\/9. Let u be w(j). Which is the nearest to -0.1? (a) 3 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39\/4 - -125\/12. Let d(v) be the first derivative of -1 + r*v**3 - 2*v - v**2 + 1\/2*v**4. Let d(l) = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4 and -107\/1368.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**2 + 5735*h**3 - 119*h**2 + 38*h**2 + 31*h**2 + 41*h**2.\nAnswer: 5735*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -84\/61 (b) 3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 169 - 177 - 144 - 4*b + 490 + 4*b**2.\nAnswer: 4*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*t - 12*t = 1759 - 559 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/114, -33, -0.4, -3 in increasing order.\nAnswer: -33, -3, -0.4, -25\/114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11868 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 997866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 0.027\nAnswer: 0.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/2 and 19\/29?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-6*(0 + (-1)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-18 - -20) + 0 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13 + 387424\/24 - 2\/(-6)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzaaaaazaazaazaazaz. What is prob of picking 2 a and 2 z?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-45) - 0)*5. Let r = 0.2 - -9.5. Let j = 4.7 - r. Put j, h, -3 in descending order.\nAnswer: h, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 23*h - 28*h. Solve 0 = -r, -h*c + 2*c - 16 = 5*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252471250?\nAnswer: 2, 5, 1001977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -127.\nAnswer: 3\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1773\/(-2364))\/(22\/(-8))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 398879112 + -126883\nAnswer: 398752229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 8. Let a be w(6). Suppose 2*z = -h + 21, 3*z = -a*z - h + 51. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r + 528 = 65*r. What is the greatest common divisor of r and 1008?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35211550 (base 6) to base 13.\nAnswer: 2c23b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56557172 divided by -7\nAnswer: 8079596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3520\/112)\/(-11)*5\/(-25)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27345 and 3?\nAnswer: 27345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*h = 70*h. Suppose 3*o - 3*g - 51 = h, 8*o - 5*o + 2*g = 61. Calculate the remainder when (-113)\/(-3) - 4\/6 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 88, 94, 112, 148?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (92\/(-276))\/(2\/96)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -17. Suppose m = 2*i - 5*w + 9 + 1, -5*i + 9 = -4*w. Let a(c) = c**3 + 17*c**2 + 66*c - 5. Let s be a(-11). Put i, -7, s, -4 in descending order.\nAnswer: i, -4, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1421*m + 1402*m = -38 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 808 and 56?\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6278 - 69010\/11. Find the common denominator of p and -55\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 918\/117 - 3 - (-2)\/13. Suppose 4*i - 4 = 0, 48 = 4*g - c*i - 1183. List the prime factors of g.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5 (b) 4\/5 (c) -11\/4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, m: 1, u: 8, l: 4, i: 1}. What is prob of sequence fmil?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38758179994880*x**2 - 640360480*x - 2645.\nAnswer: -5*(2784176*x + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-15)*(-4)\/6. Suppose 0 = 5*g + 5*x, -11*x - 15 = 2*g - 6*x. Let r be (-2)\/g + 176\/40. What is the closest to w in -2\/5, r, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.03769 rounded to zero dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let w(l) = 2*l. Let z(h) = -3*v(h) + w(h). Let d(x) = 6*x + 2. Let m(f) = d(f) + 8*z(f). Let u(r) = -r - 3. Let t be u(0). Calculate m(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 632458 - 2*k + 632458 - 118*k**3.\nAnswer: -118*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599596455 a multiple of 673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 7:05 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -108*h**3 + 7*h**2 + 4*h + 121. Calculate the least common multiple of k(-5) and 2.\nAnswer: 13776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108079037 a multiple of 2827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 s when three letters picked without replacement from soslmsd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = -2*a + 134, -u - 5*a + 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120430708 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: Two letters picked without replacement from ddtvddtvvddvtddddd. Give prob of picking 2 d.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -126.659555 - 2\nAnswer: -128.659555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6007.\nAnswer: 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 136. Let u(f) = 19*f. What is p(u(d))?\nAnswer: -722*d**2 + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 + 26 = -s. Is s + 0 - (1 + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 10847.88 nanoseconds?\nAnswer: 0.01084788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 13*d + 11. Let t be x(-9). Let r = -39 + t. Calculate the lowest common multiple of r and (-24)\/14*(-28)\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 4, 7737758.\nAnswer: 3\/4, 4, 7737758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.001 + -2. What is f rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**6\/720 + o**5\/30 - 9*o**4\/4 - 28*o. Let j(l) be the third derivative of x(l). Give j(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from azzzlzzla?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(16\/12) - -53. Suppose -11*s - f = -16*s. What is the least common multiple of s and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2\/5 + 6862*s\/5 + 183816\/5 = 0.\nAnswer: -3404, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*h - 3*f + 35, 0 = -4*h + f - 16. Let z = 4 - h. Suppose z = 3*s - 2. Solve -s = 3*u - 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.045 + 0.077.\nAnswer: 0.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061102 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19196*a - 31175*a + 16111*a - 21345*a + 715*a)*(-a**3 + 2*a**3 + 0*a**3) in the form p*a**2 + d*a**3 + o*a + r + k*a**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1077474057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 1809?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 5:23 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88624?\nAnswer: 2, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**5\/60 + 5*o**4\/24 - 2*o**3\/3 - 5*o**2\/2 - 5*o. Let g(j) be the first derivative of z(j). Calculate g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 - -83. Let n = h + 221. Calculate the highest common divisor of n and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61519\/4 - 15380. Put 4, m, -3.9 in increasing order.\nAnswer: -3.9, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 968, 1839, 2614, 3293, 3876, 4363?\nAnswer: 4754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 173?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 21*p\/2 - 40.\nAnswer: -(p + 5)*(p + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**8*w*w)\/w*w)\/w**12)**(-50)*(w**(-1\/3))**(3\/11)\/((w\/(w*w**(-1\/7)))\/(w**(-1)*w)) assuming w is positive.\nAnswer: w**(3832\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -185310, -185281, -185238, -185181, -185110, -185025, -184926?\n\"Answer: 7*b**2 + 8*b - 185325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -12.69. Let g = b + 0.01. Let s = -0.345 - g. What is s rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 + 218. Suppose v = 2*i + i. Let x = 45 - -3. What is the greatest common divisor of i and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4335 + 204155?\nAnswer: 155420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3185753 and 414?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180926 + 266067*b**2 + 180926.\nAnswer: 266067*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.917287 hours?\nAnswer: 24902233200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v + 2. Let z(g) = 1 + 4 - 3 + 4*g + 4*g**2. Calculate the remainder when x(4) is divided by z(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0947275*3.\nAnswer: 0.2841825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(2106\/108 + -25).\nAnswer: 70\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 2*k**2 - 3*k**4 + (0*k + 2*k + 0*k)*(103 + 3*k**3 - 103) to m*k + a*k**3 + g*k**2 + d + h*k**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + sqrt(125)*1)*2 - 1*(sqrt(125) + sqrt(125)*-2 + sqrt(125)))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-575)\/(-20))\/(1765\/4236*(-9)\/6).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9277299, -9277300, -9277303, -9277308, -9277315, -9277324?\nAnswer: -9277335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 0 - 5\/3*u**3 + 1\/10*u**5 + 2*u**2 + 1\/120*u**6 - 3\/8*u**4 - 28*u. What is j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {p: 1, o: 1, i: 2, x: 2, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)\/sqrt(9) + -1 + -1 + 2.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -4, -3\/170?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -17 + 6 + (-4 - 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123558 or 123563?\nAnswer: 123563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18270 - 4646. List the prime factors of w.\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54864 by 1143.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7315 + 88?\nAnswer: 7403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 2*i - i)*(3*i**2 + i**2 - 7*i**2 + i) in the form o + p*i**2 + b*i**3 + h*i and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y + 6*y**3 - 12*y**2 - 26 - 4*y**3 - 16*y. Is 4 a factor of b(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203+1885.03\nAnswer: 2088.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Let k(w) = w**3 + 9*w**2 + 7*w - 1. Let i be k(-8). Suppose 0 = 5*o + 4*d + 200, 3*o + 110 = -f*d - i. Round o to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 1244, 5, -3.\nAnswer: -3, 0, 1, 5, 1244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301914*x**4 - 600125*x.\nAnswer: -3622968*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2419.\nAnswer: 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 16*n - 48. Let m be t(-20). Let g = m - 429. Calculate the lowest common multiple of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*m + 965, -2*o + 2*m + 136 = -266. Suppose -5*b + 250 = -5*i, 0*i - i - o = -4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125974, 125956, 125932, 125896, 125842, 125764, 125656?\nAnswer: 125512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 5. Let j be w(-7). Suppose -2*o + 0*o + j*k = -50, 75 = 3*o + 3*k. Suppose -o = -4*h + 51. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-1677 + (2 - 3)). Suppose 4*l + 86 + 6666 = -4*r, -l - c = 4*r. Let w = l + 5134\/3. Calculate the common denominator of w and -9\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87.601 - 88. Let u = 3.079 - 3.1. Let n = l + u. Round n to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and -13783?\nAnswer: 551320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - 1. Suppose 5*h - 2*h = 387. Let o = h + s. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = j - 10, -3*j + 2*j - 5*g = 0. Let h be (-1227)\/(-7) - (3 - 57\/21). Calculate the highest common factor of h and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 723 - 699. Solve -u = g - 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, -3\/2, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.9 - -17. Let y = -62.5 - -61. Let c = y + a. What is the third biggest value in 0.4, 3\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 3*g + 1. Let r be h(3). Let z be 1\/(3\/(r + 8)). Suppose 0 = -z*c + 17 + 7. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 3 (c) 0.02 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486 and 7318917?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 305368914*m*q**2 - m*q + 15604915*q wrt q.\nAnswer: 610737828*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -500, -1015, -1532, -2051, -2572, -3095?\nAnswer: -3620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*z + 42*z = -4464 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 u when four letters picked without replacement from qlttuutqtntuqqq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*n - 5275 = 0, -f + 4*n - 763 = 309. Let x = 1479 + f. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2156 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 2839550.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 707073 to the power of 1\/2, to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 841229 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z + 2. Let m(r) = 10*r + 2. Let q(v) = -4*m(v) + 3*p(v). Let o(h) = h + 2. Let s(w) = w + 1. Let i(k) = -o(k) + 2*s(k). Give 6*i(g) + q(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 894.8 + -895. Put n, 8, -3, -4 in descending order.\nAnswer: 8, n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3329 (base 15) to base 14.\nAnswer: -3d43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -657882 + 1154431. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**2\/7 + 361980*b - 76433886900 = 0.\nAnswer: 422310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 10, y: 1, u: 4}. What is prob of picking 1 v and 1 u?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + 3*w - 3*w**4 - 2*w + 247 - 249 - 2*w**3 + 2*w**2 - 2*w as c + t*w**4 + p*w**2 + x*w + k*w**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 49, -1\/20 in decreasing order.\nAnswer: 49, -1\/20, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -60?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 19. Let l be (1 - 1) + (3 - 5). Let d(t) = t**3 + 3*t**2 - 2. Let g be d(l). What is the second smallest value in -1\/2, s, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.3 - 3.5.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(-105)*(-60)\/96*12?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -602*m - 8412. What is y(-14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -398 - -4. Let m = n + 523. List the prime factors of m.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*b - 642 = -14*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11005983001\/660 - 16675735. Let c = t + 3\/220. Let w = -1270 + 12729\/10. Find the common denominator of w and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 - 494*q\/3 - 164.\nAnswer: -2*(q + 1)*(q + 246)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -72991024.\nAnswer: -72991027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 8:01 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.2, -0.003, -0.4, 0.11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -244 + -a63?\nAnswer: -ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 - -5) + (32 - 20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 108.7 (c) 1.4 (d) -69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -5*a + x + 854, 3*a = 5*x + 668. Let k = a + -154. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*n = 34 + 64, 2*n - 62 = -3*h. Let r be (-140)\/(-77) - (-4)\/h. Solve i + r + 2 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.134, -3203, -4 in descending order.\nAnswer: 0.134, -4, -3203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113993984 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.34 - -1.68. Let u = p + -0.34. Which is the smallest value? (a) 1 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/7 - 2208*i**3\/7 - 34914*i**2\/7 - 106492*i\/7 + 143616\/7 = 0.\nAnswer: -1088, -11, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41791.34 decades?\nAnswer: 5014960.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 12*w**2 - 12*w - 1. Let g be d(13). Let i be 184\/(-69)*(-27)\/g. Solve i = 4*m + f, -5*f + 3 = -m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 3, e: 3}. Give prob of picking 2 r and 1 e.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 17*l + 32. Let g be z(15). Suppose -5*h = -4*h + 5, -71 = -g*r - h. Let q = r - 49. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 14 - 6. Let n = -2 - -3. Suppose -n = u - d. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1439064 divided by 719532.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3044985.3us to hours.\nAnswer: 0.00084582925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*j - 2*f, 5*j = -3*f + 28 - 6. Let w(g) = 0 + j*g + 0. Let m(p) = -18*p. Let c(r) = -2*r. Let s(o) = -52*c(o) + 6*m(o). Determine w(s(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/176 and -137\/1872.\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*d - 18*d - 21*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 529 + 54. What is the greatest common factor of g and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 4*m = 10*j - 261, -3*m + 828 = 3*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2286 - 5.\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -5691741, 0.092?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woo when three letters picked without replacement from ooowww.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-1)\/(3\/(-23)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 n, and 1 i when four letters picked without replacement from jjniiiknkkkkknn?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4764048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v - 4*v + (-3 + 3 - 1)*(0 + 2*v + 0) - v - 17*v + 6*v)*(-6 - 2 + 2).\nAnswer: 96*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1908)\/(-24)*(-4)\/(-6). Suppose -3*s + 3*c + 5 = -1, -4*s = 5*c - b. Solve s*j + 15 = 12*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 - (1 + 8 + (248 - 240))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 233733691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3492 - -25161. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 43?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 19 = -b. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l + 3*l + 14*l**5 - 16*l**2 - 4*l**5 wrt l?\nAnswer: 600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(210\/(-4)))\/((-84)\/2)*7*-141?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:30 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133 or 137?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -16 - -29 - (-8 - -23) - -32.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(3*sqrt(3)*-1))**2*4 + sqrt(2) + (sqrt(98) - (sqrt(98) + -2))**2 + -4*(sqrt(2) + 1)**2.\nAnswer: -7*sqrt(2) - 64\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10222 - 10?\nAnswer: 10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(5\/15*-1 - 1). Let f be 96203 - (1 + (5 - z)) - 5. Round f to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155891331 divided by 27?\nAnswer: -5773753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126654725.\nAnswer: 5, 1009, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1028*u**2 - 1 + 510*u**2 + 520*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = -l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3*z - 6 = 0, 5*v - z + 4*z = 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - 50*w + 111. Let d be g(-27). What is the third derivative of 77*j**5 - 242*j - 80*j**2 - 4*j**3 + 240*j + 3*j**d wrt j?\nAnswer: 4620*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/2*24\/9. Let r = 22 + s. Let z = -24 + r. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 123 - 129 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + (-1*(16 - 2334) - 1*5). Solve -2302 + r = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41763 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*v**2*z**2 + 4*v**2 + v*z**2 + 6*v*z + 45*z**2 wrt v.\nAnswer: 32*z**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, f: 1, u: 1, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -381, -1520, -3415, -6066, -9473, -13636?\n\"Answer: -378*y**2 - 5*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 19676466.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 478*b - 472*b - 6 + 950*b + 10.\nAnswer: 6*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12 = -c. Let a be (-1)\/(c\/(-6)) + (-7 - 817). What are the prime factors of (-4)\/(-6) + 4 + a\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -71, -242, -585, -1160?\n\"Answer: -10*f**3 + 4*f**2 - f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125671225 by -8075.\nAnswer: -15563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 516403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -126654.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7)*-2*4).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -37, -36, -35?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18477.9 and -95211.\nAnswer: -113688.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t - 120. Let b(w) = 22*w - 384. Let i(n) = -5*b(n) + 16*v(n). Let z(u) = 31*u + 10. Determine z(i(x)).\nAnswer: 62*x + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v**2 - v - 8. Let a(m) = -4*m**2 + m + 4. Let u(t) = -7*a(t) - 3*h(t). Let o = -6388 - -6394. What is u(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**6\/60 - 179*x**5\/20 - 32041*x**4\/24 + 51*x - 2. Let q(l) = 0. Calculate l.\nAnswer: -179, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 9. Let k be f(7). Let d be (-1*k)\/(-1 + 0). Suppose -y = y - 3*q - 47, 5*y + d*q = 155. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9761647 less than -2.41577?\nAnswer: -0.4396053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.7. Let j be 16\/(-54)*(-5 + (-99)\/(-9))\/8. What is the closest to -0.01 in -0.1, j, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 44*y + 120. Let l be d(21). Suppose 4*n + 5*q - 671 - l = 0, 3*n - 5*q = 1295. What are the prime factors of n?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93484 > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = g - 429, 2*g + b + 2178 = 7*g. List the prime factors of g.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5460 + -5467. What is the third smallest value in n, -5\/2, 3, -2\/3, -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28182\/210)\/61*-20?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*l + 0*l - 8*l + 5*l to j + v*l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(65)*2 + sqrt(65) - sqrt(65))*-4)\/((sqrt(5) + sqrt(5)*1)*5*3)*3.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*d = 49*d + 14. Let q(n) = n + 19. Calculate q(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7281103251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.08, 2, -0.5, 9\/4?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 49. Let c(w) = w - 1. Let t be c(s). What is the third derivative of 4*u**2 - 19*u**2 - 4*u**2 + 3*u**6 + 10*u**t wrt u?\nAnswer: 1560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1325 divided by -506?\nAnswer: 1325\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 33*n**2 + 18*n + 24. Let q be l(-16). What is the nearest to -2\/7 in -0.1, q, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1094345 and -59\/3.\nAnswer: 3283035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 2*g - 1. Let r be p(3). Let c(i) = i**2 + 2*i + 1. Let n be c(-3). Let d(y) = -10*y + n*y - 3 + 1. What is d(r)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15\/8, -1, -4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5 = -2*q, -q = -3*k - 6 - 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -155, -2?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1146, 5, 3 in increasing order.\nAnswer: -1146, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/4 (c) -2 (d) -0.17 (e) -97 (f) 12 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 7:31 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (3 - (1 + -2)))\/(-2). Sort r, 3, 5.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201 - 3*l - 201.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290699 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = l + 2*l - 14, 0 = 2*l - 2*w - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108684 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 579679432 to the power of 1\/2, to the nearest integer?\nAnswer: 24077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.1523273.\nAnswer: 0.4569819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*o**2 + 0*o - o - 24 + 24 to the form n*o + f + q*o**2 and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 24738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4*j*j*j\/j**(-1\/4)*j**(-4)*j*(j**(-3\/11)*j)\/j assuming j is positive.\nAnswer: j**(175\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -3 (c) -0.3 (d) -2\/11 (e) -72.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(5\/12)*n)*n*n*n\/n**(-21)*n*((n*n\/(n*n\/(n\/n**(-16))))\/n)\/n*n*(n\/(((n\/(n**(-2\/21)\/n)*n)\/n*n)\/n*n))\/n assuming n is positive.\nAnswer: n**(3065\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24e5 (base 15) in base 11?\nAnswer: -5a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = -3*l + 7*l. Let h = l + -32. Suppose -81 = -y - 2*y + h*v, 0 = -4*y + v + 91. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 25*r**2 - 2*r - 29. Calculate k(-25).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 652*w**2. Let h(r) = 3*r**3 + 651*r**2. Determine -5*f(j) + 4*h(j).\nAnswer: 2*j**3 - 656*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130 - 10 - 62)*(-2*s**2 + 4*s**2 - 3*s**2).\nAnswer: 202*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - 1*sqrt(24)) + (2*sqrt(36))\/sqrt(6))\/((sqrt(3) - 6*sqrt(21)\/sqrt(7)) + sqrt(3) + sqrt(768)\/sqrt(4)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 9*b + 8. Calculate m(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1567066, -6268406, -14104022, -25073914, -39178082, -56416526, -76789246?\n\"Answer: -1567138*r**2 + 74*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -223*a - 1479. What is n(-7)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10148 and 860?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*r = s + 6, -4*s - r - 19 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2306.7227 + -2307. Round p to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2460)\/287)\/(11\/14 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 209536, 209514, 209492, 209470?\n\"Answer: -22*r + 209558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 3*x + 2*x)*(-67*x - 23*x + 31*x) + 2*x**2 - 29 + 2*x + 29 in the form h*x + w*x**2 + u and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 5, -21 in descending order.\nAnswer: 5, 2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3486992900?\nAnswer: 2, 5, 103, 338543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 224\/(-36) - (-2)\/9. Suppose 0*h - 4*h - 22 = -2*z, -3*z - 2*h = -1. Let f(x) = -2*x + 5 - 13 + 2*x**z + 6*x**2 - x**3 + 0*x**3. What is f(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -569, -566, -563, -560, -557?\n\"Answer: 3*d - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 656\/9 or 72?\nAnswer: 656\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 2*w**2 - w**3)*(6 - 11 + 32*w + 2).\nAnswer: -32*w**4 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 449558 a multiple of 667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 2, c: 3, p: 2, r: 9}. What is prob of sequence cyrr?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.884773 hours to minutes.\nAnswer: 233.08638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -26.8 (b) -4\/3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, g: 3, i: 1, c: 4, z: 2}. What is prob of sequence giz?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i. Let n(x) = -796*x**2. Give w(n(t)).\nAnswer: 796*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 34995*p - 489939. Calculate r(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (636\/108 - 6)\/((-5)\/(-30))*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345.0193km in meters?\nAnswer: 345019.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 19*i + 69. Let o be p(11). Let r(x) = -x**2 - 21*x - 37. Let a be r(o). Is 8\/12*(a - -122) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -7. Let f = m + -1. Suppose -4*g - 1 = -f*g. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, 13, 26, 43, 64, 89?\n\"Answer: 2*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1066571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-15)*-2 + 61\/(-120). Suppose 3*a + 4*c = -2*a - 28, -4*c - 16 = 2*a. Let t = a - -4. Which is bigger: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:06 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2896*z - 2*z**3 - 72 + 38 + 34)*(-1 + 0 + 6).\nAnswer: -10*z**3 + 14480*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109370, 109373, 109378, 109385, 109394?\nAnswer: 109405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m - 4. Suppose -3*b = 2*y - 19, 2*y - 2*b + m = -3. Suppose y*x = -0*x + 70. Calculate the remainder when x is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -380 + 385. Suppose -r = s*y - 38, 2*r = 3*y + 2*y + 1. Let v(l) = l - 16. Determine v(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 90 = -20*s. What is the first derivative of -4*f**2 - s - 1 - 2*f**2 + 5*f**2 wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 784 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 s when three letters picked without replacement from {p: 5, a: 1, f: 7, v: 4, s: 2, i: 1}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 - -0.6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q - 43. Let v be z(7). Let x = -11 + v. What is the smallest common multiple of (21\/(-5) + 3)*x - -2 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5610 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*s + 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 1 + (8 - 3526). Let p = -2410 - l. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 23*a**2 - 14*a + 3. Let j = 52 + -32. Is v(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -46\/17971, -3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6570 divided by 30?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 k when three letters picked without replacement from {x: 2, s: 8, k: 8}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1030 - 184*t + 1083*t + 215.\nAnswer: 899*t + 1245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y + 9*y - 8*y + (y - y + y)*(0 + 5 - 3) + y + 2 - 2 in the form g*y + q and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m**2. Let h = 1356 + -702. Suppose -2*g + 5*g = h. Let v(z) = -g*z + 218*z + z**2. Determine v(s(k)).\nAnswer: 100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 192, 384, 576?\n\"Answer: 192*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99950917 to the power of 1\/2, to the nearest integer?\nAnswer: 9998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842379 is divided by 421115.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + d8be8c?\nAnswer: d8be87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c**2 + 3*c + 2. Let u be j(-2). Let v be (u\/10)\/((-4)\/(-30)). Suppose -12 = -v*w + 24. What is the smallest common multiple of w and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - h - 3, -1 = a - h. Suppose -3*w - 15 = 0, -a*u - 5*w = -w - 38. Let s = 50 - u. What is the remainder when 62 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 4*w + 2. Calculate b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568641.3 microseconds to milliseconds.\nAnswer: 568.6413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**2 + 2*v + 1. Let b = 12 + -60. Let g = b - -47. Calculate r(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48312?\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 7*w**2 - 398*w**3 + 37 - 56*w**3 - 8 as p*w**3 + u*w**2 + f + b*w and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by (5 - 95)\/(12\/(-16))?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20495, -19839, -19183, -18527?\nAnswer: -17871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -80*f - 398. Calculate i(-6).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2. Let l be -1 + (7 - (-6)\/(-3)). Let u(n) = l*n - 2*n - n. Calculate u(a(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 2*u**5\/5 - 5*u**3\/3 - 19*u - 38. What is the first derivative of v(c) wrt c?\nAnswer: 8*c**3 - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + d + 0)*(-4 + 4 - 2) + 10*d - 8 + 8 + 1 to n*d + b and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3149 + -3002. Calculate the highest common divisor of k and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 46 - 54 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/2, 3, -4, 1\/3, -1037\/116 in ascending order.\nAnswer: -1037\/116, -4, 1\/3, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 8*z - 4. Let p(n) be the first derivative of -3\/4*n**4 + 0*n**z + 2*n + 2 + 0*n**3. What is the derivative of p(f) wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 8*j = -4, 4916*j - 4910*j + 2 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -5791221\nAnswer: 11\/5791221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1268 minus -0.993?\nAnswer: -1267.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 106558573.7?\nAnswer: 106558573.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from uuuuuuuauuuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c - 124. Let x be q(12). Let i(p) = -p**3 - 4*p**2 - 4*p + 1. Calculate i(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4 + 4)*(3*z - z + 3*z) + (0*z + 0*z - z)*(-z - 3*z + 2*z).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 40 in descending order.\nAnswer: 40, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 223.8246 meters?\nAnswer: 223824600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 - 3*f**2 + (-f + 3*f + 0*f)*(-f + 3*f + 0*f))*(2*f - 2*f - 2*f**2) + f**4 + 0*f**4 - 2*f**4.\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 22*m**2 + 9*m + 385. Determine w(-23).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 472 + -520.6. Let v = 49 + y. What is the biggest value in v, 1, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53\/4 of a decade?\nAnswer: 1590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2 (c) 3677 (d) 1 (e) -3\/8 (f) 4 (g) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1440 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 + 459*a + 27 + 446*a + 0*a + a - 4*a + (a + 0 + 0)*(-1 + 0 + 2) + 2*a + 2*a - 2*a + 2 - 2 + a + a - 4*a + a.\nAnswer: 904*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3570564415?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.762796 rounded to two decimal places?\nAnswer: -214.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3))**(-47))**(-43)*(c**(-5)\/(c*c\/(c\/(c\/(c**3\/c))*c)))**(-49) assuming c is positive.\nAnswer: c**(-5867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 74258?\nAnswer: -1\/37129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -3\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**5\/10 + 3*y**4\/4 - 8*y**3\/3 + 1489. Factor l(p).\nAnswer: p**2*(p - 2)*(p + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 11) in base 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (sqrt(320) + 4 + sqrt(320)*1) - sqrt(320))*-6 + 0 + sqrt(320) + 0 + (-4*sqrt(320)*2 - sqrt(320)))**2.\nAnswer: 1536*sqrt(5) + 5696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/2)\/((-2)\/(-3)). Let i(s) = -15*s**w - 3*s**2 + 14*s**3 + s - 4*s - 4. List the prime factors of i(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -14*j**3\/13 - 2386*j**2\/13 + 2400*j\/13 = 0.\nAnswer: -1200\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -5. Solve -m*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2. Let y be c(2). Is ((-2)\/(-4))\/((-1)\/y) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 30 = -10*h + 2*w, 3*w + 25 = h. Let i = 18 + 10. Let q = i - 18. What is the smallest common multiple of q and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 78752, -3, 0 in decreasing order.\nAnswer: 78752, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - 2*v)*(-4 + 2 - 6) + 4*v - 3*v + v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -46761 to the nearest 100.\nAnswer: -46800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330974097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17529.76159 - -17627.76. Let l = o - 98. What is l rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*s + 23*s - 28*s - 18*s)*(0*s**3 - s**3 - 11*s**3).\nAnswer: 876*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 s when four letters picked without replacement from xssssssssxsssssssss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 77508344 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 3*q - 4*q - 3*q + 36, 5*q - 17 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4))\/((-57)\/(-4)). Let i = 26 - -70. Let r = 89 - i. What is the second smallest value in 3, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(11\/4)*h\/(h\/h**(2\/7))*h assuming h is positive.\nAnswer: h**(113\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81847358?\nAnswer: 2, 701, 58379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/(((-36)\/7)\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**4 + 2*z**3 - 6*z**2 - 2*z.\nAnswer: 2*z*(z - 1)*(z + 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2 + 320787*k - 962334 = 0. What is k?\nAnswer: 3, 106926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -16*b + 147. Let a be q(8). Let o = -15 + a. Solve 4*c = 2*i - 0*i, -3*i + 20 = o*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1730*o**2 - 1733*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1922111600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.3 (c) 226585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 17. Let k = 414 + -410.02. Let o = k + 0.02. What is the second smallest value in h, 1\/3, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 241070192 and 3184.\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 81. Suppose 0 = -39*l + c*l + 25. What is the least common multiple of 3 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k - 5. Let h = -24 + 24. Suppose h = 5*p - 3 - 47. Let y be ((-1)\/(-2))\/(1\/p). Let i(x) = 8*x - 14. Determine y*i(u) - 14*t(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 158341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*r + 0)*(0*r + r - 2*r) - 3*r**2 + 3*r**2 - r**2 + (49*r + 38*r - 27*r)*(0*r - r + 2*r) in the form s + g*r**2 + a*r and give g.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, p: 1, g: 3}. What is prob of picking 3 u and 1 g?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m + 128 - 77 + 2*m**2 - 51 - 3*m. Suppose 0 = -0*z + 4*z - 20. Does 15 divide q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121962 divided by 40654?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 7*k**2 - k - 2. Let x be c(3). Let o(h) = -2*h + 5. Let b be o(-11). Suppose -l = b - x. Let w(a) = -a**2 + a - 4. Calculate w(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/7 + 1194521*m**3\/7 + 67946117811*m**2 + 63124185588671363*m\/7 - 631289419363712330\/7.\nAnswer: (m - 10)*(m + 398177)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000001 + -10001001000?\nAnswer: -110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, x: 1, t: 9, o: 1, a: 4}. What is prob of picking 1 n and 1 x?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 113021 (base 10) in base 7?\nAnswer: 650336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = -31248*q + 31211*q. Let s be 2\/3*36\/8. Put 83, q, s in increasing order.\nAnswer: q, s, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 5:43 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2832*i - 1902*i + 43710 = 0 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**4 - 268*x**3 + 4344*x**2 + 5168*x - 9248 = 0.\nAnswer: -2, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = 4*p, -2*n + 5*n = -4*p + 15. Let l be ((-3)\/1 - -4) + n. Let o = -2 + 4. Solve 0 = -o*i + 5*i + l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alqkpfp. Give prob of sequence pak.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 16\/11 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/4)\/((-12)\/72). Suppose 0 = -4*a - 20, 3*r = r - 5*a - c. Find the second derivative of -s - 2*s**2 - 7*s**4 + r*s**2 wrt s.\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 66, 145, 256, 399?\n\"Answer: 16*d**2 - d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*q + 6, -5*q - 2 = 4*i + 7. Solve 12 = l - i*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22 + 16)*1\/(-3). Let v = 115\/111 - -5041\/4884. Find the common denominator of ((-225)\/10)\/(0 - t) and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, r: 4, v: 2}. Give prob of sequence ryr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 144 = 0. Suppose -t + 14 + 15 = 0. Let p = g - t. What is the greatest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 3. Let f be l(3). Let p be (10\/6)\/(f\/54). Suppose 2*k - 6*k = -56. Is k bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*k + 2 = -0, -5*l = -3*k - 14. Let i(y) = -2*y + 4. Determine i(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108570 and 924.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x**2. Let h(l) = -26997*l. What is n(h(c))?\nAnswer: 8017218099*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 272 and 1100192.\nAnswer: 18703264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.895 + -4. Sort 1, o, 0.2 in descending order.\nAnswer: 1, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-8) + 14\/4. Factor 0*a**4 + 2*a**4 + a**3 - a**y.\nAnswer: a**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/210)\/(-1)*(46 - 39)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/11 - -13\/44. Let b be (((-1)\/25)\/(146\/365))\/((-12)\/(-20)). What is the second biggest value in s, 13, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 5, 3*x = -5*w + 135 + 793. Let h = x + -216. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2 + 874*r + 9856 = 0. Calculate r.\nAnswer: -11, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3049740 is divided by 1016553?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 5. Let x be k(7). Let c be ((-3)\/(-2))\/((-2)\/(-4)). Suppose x*v + c*v = 60. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -4\/7 (c) -3 (d) -1\/4 (e) -10628 (f) 130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(192) - sqrt(192)*-1)*3 + -1*sqrt(192)*-5)**2.\nAnswer: 23232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30368\/(-5694)*(-18)\/400.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 2\/2 - -4. Suppose -g*i - 4403458 - 20035187 = 0. Let w = -612271 + i. What is w rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.27, 5, 0.2, 235, 75 in ascending order.\nAnswer: 0.2, 0.27, 5, 75, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 975?\nAnswer: -96d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/120 + g**4\/6 + g**3\/2 - 25*g**2. Let c = -4 + 1. Let z = c + 1. Give w(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2871675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1053)*-1 + sqrt(1053) + sqrt(1053)) + -4)*-6)**2 + -5.\nAnswer: 5184*sqrt(13) + 152203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 16. Suppose 33*x - 30*x - 180 = 0. Let i be (-10)\/x*4*6\/8. What is the closest to i in g, 13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:01 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -65, -1 in ascending order.\nAnswer: -65, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 3:15 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -15*q + 440. What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(81)\/sqrt(3)*-2)\/(sqrt(9) + sqrt(9) + sqrt(144)*-5 + sqrt(9)))**2 + 5 + 0 + -4.\nAnswer: 11089\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:31 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(344\/(-64) - -5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/55)\/(8638\/47509).\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53461 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: What is the next term in -2652, -5325, -7998, -10671, -13344?\nAnswer: -16017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*n**2*o**5 + 46*n**2 - 8*o**5 + 4*o wrt o.\nAnswer: 200*n**2*o**3 - 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1199*c**2*n**3*s*t**2 - c**2*n**2 + 738*c**2*s**3*t**2 + 3*c**2*s*t**2 + 2*n**3*s**3*t - s**3*t**2 wrt n?\nAnswer: 7194*c**2*s*t**2 + 12*s**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*n + 422 + 180 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-9) - 4046\/714.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**7\/7 + x**6\/6 + 2*x**3\/3 - x**2 - 1. What is the third derivative of w(n) wrt n?\nAnswer: -120*n**3 + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392645668 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 10:08 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -358 + 410. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) + 417\/4. Suppose 1151 = -210*c + 2831. Calculate the greatest common divisor of l and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(117) - (sqrt(117)*5 + sqrt(117))))\/sqrt(9) - (4 + sqrt(104)\/sqrt(8))*-3)**2.\nAnswer: -48*sqrt(13) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5\/3)*a\/a**1)**(-2\/15)*(a**(-1)\/a)**1\/(a**(2\/7)*a**(-1\/8)) assuming a is positive.\nAnswer: a**(-5221\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000669096 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*f + 373 = 1355, -2*a = -5*f - 640. What is the greatest common factor of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 4*5\/(-10). Sort p, 1, 10 in descending order.\nAnswer: 10, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 f when three letters picked without replacement from {f: 2, u: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002842382 rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(10) + sqrt(12)\/(5*sqrt(6)))**2 + (sqrt(2048) - (sqrt(2048) + sqrt(2048) + -4 + -5))**2 + sqrt(2048).\nAnswer: -544*sqrt(2) + 53737\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 5:32 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(242) + 1)*4 - (6*1*sqrt(242) - sqrt(242))) + ((sqrt(242) + -1 + sqrt(242))*-6 - (5*(sqrt(242) + 1) + sqrt(242))))**2*1.\nAnswer: -4180*sqrt(2) + 174774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.3 - 10.5. Let z = -18.79494 - y. What is z rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/60)\/(4\/12*2\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 103*y**2 - 1059*y + 75. Let l(o) = 103*o**2 - 1058*o + 50. Let r(z) = 2*f(z) - 3*l(z). What is the second derivative of r(h) wrt h?\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57000 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -24. Let v = -20.000021 - x. Round v to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1120 and 147050400.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15 + -3)*(-8)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 5*x**2 + 2*x + 4. Let h be t(-4). Suppose 2*d - 10 + 0 = 0. Suppose 4*r - 11 = d. Calculate the greatest common divisor of h and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let c(w) be the third derivative of 2*w**7\/315 + 7*w**4\/12 - 18*w**2. Let t(z) be the second derivative of c(z). Determine t(p(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.135? (a) -0.1 (b) -0.06 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -92*a**3 - 4*a - 1. Let g be (-6)\/((-3)\/(-1))*(-2 + 3). Is v(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-487 + 699 + 35*y - 38*y)*(1 + 2*y - 1)*(0 - 2 + 3 + (-3 - 1 + 3)*(3 - 5 + 1) + 5 - 1 - 5 - 5 + 2 - 1).\nAnswer: 18*y**2 - 1272*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.2 (b) 1\/7 (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4839337 to the power of 1\/2, to the nearest integer?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 9:03 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 1904.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937499281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2. Let l be f(-1). Let w be ((-3)\/9)\/(l\/6). Which is the closest to w? (a) 3\/4 (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 4*h - 20, 2*h = h - 2*y + 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 5\/3 (b) 1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4108*h + 47 + 31 = 4114*h. Suppose -2 = 5*p - 12. Calculate the remainder when h is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 - 9 = z + 5*x, -4*z + 3*x + 556 = 0. Find the second derivative of 172*y - 24*y**3 - 6*y**3 - z*y wrt y.\nAnswer: -180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - ((-153)\/(-18))\/((-3)\/30). Suppose -m + 2*d + 589 = 0, -h*d + 1734 = 3*m - 74*d. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 71, 78, 83, 86, 87, 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*o + 8, 5*o + 0*x - 4 = 3*x. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1382 = 4*d - 906. Let u = d + -523. Calculate the greatest common factor of u and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1601 smaller than -1602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.83 + -3.47. Let a = 4.213 + v. Round a to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*r + 29, 282*q - r = 283*q - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106.4 - 105.386. What is k rounded to 2 dps?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(68) - sqrt(68))\/(sqrt(8)\/((sqrt(2) - sqrt(2)*1) + sqrt(2))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6\/(-4)) + (-51)\/9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -510023 - -113?\nAnswer: -508810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0, -2\/65, -0.101, 2\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 57*y**2 + 452*y - 47. Determine v(64).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 62. Let u = -35 + b. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647855 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u + 1365. Suppose u = 4*b - b. Calculate the highest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, n: 1, a: 2, j: 1, e: 1, b: 4}. What is prob of sequence llbe?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47\/4 - -125\/4. Find the common denominator of -11\/10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 528 + -529.86. Let f = c - -4.86. Put 14, f, -1\/2 in descending order.\nAnswer: 14, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*s = -2*s - 37, 0 = 2*v + 3*s - 67. Let h(r) = -3*r + 124. Let a be h(39). Calculate the highest common divisor of v and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 1 - 10. Let h = x - -6. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3521226093 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4344 and 1659?\nAnswer: 2402232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*n - 12, -2*n - 2*n - 5*j - 15 = 0. Suppose -3*g + 2*f = -26, -f - 2 = -g - 2*f. Suppose n*y + 732 = g*y. Is 51 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.1 + -6.1. What is the fourth biggest value in 0.2, 0.04, 4, m?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5236a - -5?\nAnswer: -52365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374 and 5.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55295 is divided by 1777.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**4\/3 - j**3 + 3*j**2\/2 + 3*j. Suppose -t + 2*n + 9 = 0, 4*t + 3*n - 2 - 12 = 0. List the prime factors of f(t).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651820 is divided by 162936.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 7) to base 13.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -739693 - -739887.9551. Let f = -0.00836 + 195.00836. Let z = f - q. What is z rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 20*b**2 - 512*b - 7287. Determine z(-29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*w + 198 = -w, 0 = 4*x - 4*w - 744. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and 4.9.\nAnswer: 8.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -39. Solve -2*n = 3*c + 3 - 2, -v*n = c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -17. Let r be 4\/(-16) - 7370\/g. Suppose 4*f - r = f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1873506909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -14, -3, 22, 67?\n\"Answer: z**3 - 2*z**2 + 2*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 + 0.6. Let i be 2 + (-1 + 3)\/(-4). What is the nearest to -2\/7 in i, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-1775)*45\/25*(-135)\/162.\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 + 13*i - 11. Determine y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 1. Let o be t(2). Suppose 3*s = 2*s - o, 9 = z - 2*s. Solve 3 = 2*j - z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0664866ms in minutes?\nAnswer: 0.00000110811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 15 = -27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = -18*p - 203 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - 3.2. Let j = 29.6 - 26. Let r = 3.7 - j. Which is the third biggest value? (a) r (b) y (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -24\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429365.\nAnswer: 5, 79, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from ooonovnoonncnvnnnoon?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13\/4 (b) 51\/2 (c) -6\/7 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 332.9 + -332.4. What is the second smallest value in f, 348, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 - 937*p + 488. Calculate r(187).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 12:12 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 12*g + 37. Let t be m(7). Solve 2\/5*n**t + 0 + 6\/5*n = 0 for n.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -4 (c) 1493 (d) 0 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(4*n - 3*n + n) + 147*n - 31*n + 2 - 30*n.\nAnswer: 90*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - -58) + (5 - 10) + 11\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 29*w**2 - 24*w - 5*w**2 + 86*w**2 - 1 + 8*w**2.\nAnswer: 119*w**2 - 24*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from {t: 1, f: 4, h: 3, x: 8, l: 1}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00368862 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -47*g**2 + 3*g. Let w(m) = -625*m**2 + 40*m. Let r(z) = -40*p(z) + 3*w(z). Let h(k) = -437*k. Determine h(r(u)).\nAnswer: -2185*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - 100c?\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4\/6 + 7*b**3\/2 + 4*b**2 + 2*b\/3.\nAnswer: b*(b + 2)**2*(5*b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 827*t + 10. Let n(d) = -1318*d. Determine a(n(g)).\nAnswer: 3474248*g**2 - 1089986*g + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-3 + 0 + (-1 + sqrt(832) - sqrt(832)))**2 - (sqrt(832) + (sqrt(832) - (sqrt(832) + -2)*-1))**2*-6).\nAnswer: -576*sqrt(13) + 44965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8861*h - 66. Let a(w) = 332288*w - 2478. What is 11*a(m) - 413*d(m)?\nAnswer: -4425*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-6 - (-1028)\/(-16)). Let r = -276 + i. Solve -r = p - 0*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = -3. Suppose -g = -5*r - 11. Let p be 2*(-1 - r) + 0. Sort p, -5, -3.\nAnswer: -5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946955.\nAnswer: 5, 189391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*k + 15 = 0, -5*c - 4*k - 4 = -31. Let g(p) = 43*p**3 - 5 - 2*p + 33*p**c - 75*p**3 + 6*p**2. Calculate g(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 11:43 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, -44, -159, -372, -713?\n\"Answer: -5*r**3 - 4*r**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -1856?\nAnswer: -1856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o**2. Let m(r) be the first derivative of r**2 + 20. Determine k(m(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9 + (-2)\/(-3). Suppose -6*h + 2*h + 16 = k. Factor -3*r - 2*r**4 - 2*r**5 - 3*r + h*r + 0 + 4*r**2 + 4*r**3 - 2.\nAnswer: -2*(r - 1)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 11 - 11.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61485.5 millilitres to litres.\nAnswer: 61.4855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -4689600.01583?\nAnswer: -4689600.21583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 12240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-264)\/(-5148))\/(2\/(-339))*-6*(-130)\/(-60)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9984.263um to kilometers.\nAnswer: 0.000009984263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + 5*o)*(5*o - o - 2*o)*(-5*o + o + 3*o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**3 + 2*z**3 - 4*z**3)*((0*z + z + z)*(-4 + 6 + 0) - z - 2*z + 2*z + 4 - 4 + 6*z + z - 4 + 4) to r*z + q + k*z**3 + f*z**4 + t*z**2 and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 138*f. Let x(r) = -17*r**2 + 174*r + 3. Determine x(c(w)).\nAnswer: -323748*w**2 + 24012*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**4 + s**4 + 5*s**4)*(3*s + 0*s - 2*s) + 12*s + 16680*s**5 - 16681*s**5 + 20*s**3 + 84*s.\nAnswer: s**5 + 20*s**3 + 96*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.10442026 rounded to 2 decimal places?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1332, 1331, 1330, 1329?\nAnswer: 1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(((-8)\/(-6))\/2). Let o(x) = 8*x - 33*x**2 - x - 2*x - 2*x + 32*x**2. Calculate o(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 740300 and 12650?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.36 + -0.06. Let t = -20.29834 + u. What is t rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -3379\nAnswer: -1\/3379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1)*(6 + -1). Let n(j) = 5 - 7 + z*j + 2. Let h(b) = 2*b. Determine h(n(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + k**2 - 2 - 4*k**2 + (-2*k + k + 3*k)*(-k - 3*k + 5*k) + k**2 + 0*k**2 + 0*k**2.\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -18 - (70 - 23 - (8 + -26))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1787308647?\nAnswer: 3, 619, 962471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(75) - (1*sqrt(75) + 2)) + -2 + -3)**2*-3)*-2.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1814? (a) -0.2 (b) -3\/4 (c) -2\/7 (d) -0.01 (e) -2 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 724\/779707 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*y**2 - 1 + 2 + 10*y**2 + 12*y**2 wrt y?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w = 20. Let b(u) be the first derivative of -u**4\/4 - u**3\/3 - 3*u**2\/2 - u + 280. What is the remainder when b(w) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10404494*o**3 + 1498104*o - 1 wrt o?\nAnswer: -62426964*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -7 in ascending order.\nAnswer: -7, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 137215086 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.087 * -4\nAnswer: 0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 0.16, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1491016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-4)\/(-8)) - -3. Factor -4*s**5 + s**h - s**4 + 4*s**4.\nAnswer: -3*s**4*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 75 = 5*y, 3*z = -4*y - 1 + 25 - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - -30. What is the remainder when a is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41863 (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3927 + 3.\nAnswer: 3930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1537*w**3*z**2 + 18986*w*z**3 - 5*z**3 + 3*z**2 + 3219745 wrt w.\nAnswer: -4611*w**2*z**2 + 18986*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011682 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + 2*i**2 + 102*i + 1234. List the prime factors of j(-24).\nAnswer: 2, 13, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3 - 10635*i**2 + 544986*i = 0. Calculate i.\nAnswer: -10686, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1609 + 4*y + 3*y**3 + 1605 - 3248 to p + a*y**2 + n*y**3 + t*y and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 24. Let m(p) = 5*p + 83. Let w be m(-18). Is x(w) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 7, w: 7, n: 1, t: 2}. What is prob of sequence kttk?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**3 - 3*r + 2. Let y be m(1). Suppose -3*d + 3 = 0, -2*w + 3*d = -4*w + y. Solve -3*l + 4 = -s, l + w*s - s - 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 3*h + 2. Let q(c) = 2*c**2 + 5*c - 3. Let f(l) = 4*q(l) + 9*z(l). Let k(p) be the first derivative of f(p). Give k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*b = -258*b + 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4107 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v**3 + 3*v**2. Let a(f) = f - 2. Let d be a(-1). Let y(z) = -z**2 - 3*z - 1. Let x be y(-1). Let b(o) = -o**3 + o**2. Determine d*b(g) + x*m(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -43*p + 1068. Give a(23).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 2*g + 2*g)*(-5721*g + 2*g**3 + 2866*g + 2863*g).\nAnswer: -4*g**4 - 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5124500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 4. Let q be v(-6). Find the third derivative of 14*z + 7*z**2 + 2*z**5 - q*z wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**5\/60 + 4*l**2 + 6. Let p(n) be the second derivative of h(n). Let q(v) = 2*v**2. Give p(q(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 0*b**2 + 11*b - 23*b + 15. Let t be c(10). Let x be 2 + t + 3 + -3. Sort x, -4, -1 in ascending order.\nAnswer: -4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00200951451 rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-2)*(184\/(-16))\/(-23)*376\/(-329)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*m**2*p**5 + 32*f*m**2 + 2*f*p**2 - 2*f - 8*m*p - 4040*p**5 wrt p.\nAnswer: 120*f*m**2*p**2 - 242400*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - j - 37575 = -37598, -1 = -4*m - 4*j - 5 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*g = -3*t + 8, 4*g = 2*t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3 * -0.48.\nAnswer: -1.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1194)\/(-12))\/(1\/2). Let x = v + -80. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0664452 rounded to 4 decimal places?\nAnswer: 0.0664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4 = 1. Which is bigger: -1\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - p - 5*p)*(-436 - 302 - 179 - 338 + 267).\nAnswer: 2964*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13847478 is divided by 111?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, o: 1, x: 4, v: 1}. What is prob of sequence ovux?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/84 - (-9)\/35. Let n = -173\/3 + 59. Which is the biggest value? (a) -2 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 3 (c) -4 (d) 1\/3 (e) -0.14675 (f) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -9, -2\/21 in descending order.\nAnswer: -2\/21, -2\/13, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 5*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 154*b - 3. Let l be h(1). Let c = l - 106. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - 2*sqrt(95))*3)\/(5*sqrt(5)*-2) - ((3 + 0 + sqrt(2299) + sqrt(2299))**2 + 1)) + -4.\nAnswer: -9210 - 1317*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -87578, 51, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 - -3. Let o = q + 5.6. Let p = o - 7.11. Round p to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5\/5 - 14*n**4\/5 + 4*n**3 + 4*n**2\/5 - 22*n\/5 + 2 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/4 - 27\/8*868868\/(-143). Round s to the nearest 100.\nAnswer: 20500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 8. Suppose 3*h + 68 = j*h. Calculate the remainder when 49 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.84 - 0.16. Put x, -3\/7, -0.4 in increasing order.\nAnswer: x, -3\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -19. Suppose 0 = 4*t + 3*k - 19, 2*t - 11 = -c*k + 1. Suppose -2*a = -t*x - 160, 2*a + 3*x = 252 - 71. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213609 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*q + 2*q - 11*q - 29920. What is the greatest common factor of q and 1360?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8057561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 37 + (-9)\/21 + 77\/(-49). Factor -62*g + 22*g - 16*g**2 - 17*g**2 + 28*g**2 - h.\nAnswer: -5*(g + 1)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*h - 121, -8*h + 6*h + 274 = 2*s. Calculate the remainder when s is divided by 77.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241 + 240. Let u be 4 - (5\/5 + j). Solve 7 = -i + u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1014 + 1?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 6)*(127 + 115 + 17)*(-r**3 + 0*r**2 + 0*r**2).\nAnswer: -1295*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 5*d + 2*d)*(-4 + 4 - 1)*(4 + 7 + 7).\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2783889, 5567782, 8351675, 11135568, 13919461?\nAnswer: 16703354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 5, 248, 8 in descending order.\nAnswer: 248, 8, 5, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 5. Let j be l(-10). Suppose -j*x + 10 = -7*x. Let g be 8*(2\/(-4) - 0). Sort -3, g, x.\nAnswer: x, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -969579 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/195 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 21*d. Let m(z) = -43*z. Let x(c) = -4*m(c) - 9*u(c). Let t(g) be the first derivative of -2*g**3\/3 + 61. What is x(t(n))?\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + (-3 - -6) - 7 - 8) + 0 + 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + j**3 + j + 7 + 0*j**3 - j**3 to the form a + i*j + n*j**2 + m*j**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 0*a**2 - 2*a**2 - 3*a - a - 10*a + 6. Let u(i) = 3*i + 13. Calculate the smallest common multiple of j(-7) and u(7).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-54)*(-9)\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/248 + -3099\/248. Find the common denominator of x and (-6)\/(-27) - ((-3356)\/(-360) - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -162897325.\nAnswer: 6515893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6638 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -7. Let g = p + -28\/5. Are -1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = -9*k + 558. Is k equal to 94\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/378*78)\/(368\/9016)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6349 = -i, -4194 - 2167 = -t - 2*i. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1266 times -3.5?\nAnswer: 4431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*s**4 - 48*s**4 + 153*s**4 + 33 wrt s?\nAnswer: 560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2915, -2913, -2911?\nAnswer: -2909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.541204 rounded to one dp?\nAnswer: -104.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 7:31 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -8*w - 6. Let v(s) be the first derivative of s + 8\/3*s**3 - 5 + 0*s**w. Find the first derivative of v(a) wrt a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12481)\/(-9) - -5*(-14)\/(-315). Suppose -546 = 4*k - 4*b - 1938, -5*b - p = -4*k. What are the prime factors of k?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-1692)\/(-240))\/(1\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q**3 + 0*q**3 + 9*q**3 - 7 + 3 as o*q**2 + j*q + g*q**3 + l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.170097 rounded to 0 decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o + 13 = -3*z, 2*o - 9 = -z. Let q = o - 1. Calculate the common denominator of -83\/12 and (q + (-82)\/(-44))*1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93426537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let y = -27.4 - -31. Let v = 0.6 - y. What is the closest to w in 0.4, -2, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8652 and 768972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131784 and 250971?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-2)\/(-3 + 1). Let v be a\/9 - (-16)\/(-42). Let z = 1 + -1.1. Put -3, z, v in descending order.\nAnswer: v, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-51)\/57 + (-8)\/76)*(-346 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6181 + -6185. Let b = 3.01 - 4. Let n = b + -0.31. What is the closest to n in -3, r, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*r - 4*r + 3*r)*(12 - 4*r**2 - 2 - r + 3*r**2) + (r - r + r)*(r**2 - 4*r**2 - r**2) in the form l*r**2 + d*r**3 + f + w*r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 16*o**3 + 6*o**2 - o - 6. Let w(l) = -32*l**3 - 13*l**2 + 3*l + 13. Determine -13*t(f) - 6*w(f).\nAnswer: -16*f**3 - 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8030 (base 12) to base 9\nAnswer: -21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -146, -161, -156, -119, -38, 99?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7680 is divided by 1276?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 36540 = -9*a. List the prime factors of a.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14771?\nAnswer: 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.536 - 8. Let c = -0.164 - f. Let q = -14 + 13.5. Sort 2\/9, -2\/3, c, q in increasing order.\nAnswer: -2\/3, q, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*d**3 + 0 + 187*d**3 + 0 - 22*d**3.\nAnswer: 387*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/6)*l**(-7))\/(l\/((l**0*l)\/l)*l\/l**16) assuming l is positive.\nAnswer: l**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**7\/210 + 17*s**6\/12 - 527*s**5\/60 + s**4\/24 - 465*s**2 - 1. Find the third derivative of b(r) wrt r.\nAnswer: 24*r + 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1883088850.\nAnswer: 2, 5, 2447, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172 divided by -6?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 6*q - 3*q - 9174, -q = 2*f - 6118. Is f a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7292.62 kilometers?\nAnswer: 7292620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656171.8 months in decades?\nAnswer: 22134.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c - 1. Let l be o(6). Let x = -23 - l. Solve 3*v - 2*v - 5*f - 13 = 0, -4*v = -f - x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 1 - 2 + 6*x**2 + 5*x - x**3. Let r(u) = -7*u**3 - 2*u**2 + 6*u + 7. Let c be r(-1). Give a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*7\/(14\/(-8)). Let u(p) = p**2 - 2*p - 7. Let w be u(l). Suppose 5*b - 141 + w = 0. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 5, 0, -1118, 4 in descending order.\nAnswer: 5, 4, 2, 0, -4, -1118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 50 = -2*o - 3*o, -h + 28 = -4*o. Let v = -16 + h. 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 next term in -232, -241, -264, -307, -376, -477?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 < -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -13, -4 in increasing order.\nAnswer: -19, -13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*f - 8. Let x(j) = 2*j + 19. Let o be x(-8). Suppose f*q - 238 = 2*l + 170, -411 = -3*q + o*l. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2253 = -4*u + 133. Calculate the remainder when 0 - u\/5 - 0 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 - 7 = 0. Suppose -l + 14 = -3*r, -h = 5*r + 3. Calculate the remainder when 52 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52157, -104322, -156487, -208652, -260817, -312982?\nAnswer: -365147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 228\/10 - 8484\/3030\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**2 - 8627*x - 69493 wrt x.\nAnswer: 4*x - 8627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2788a (base 12) in base 11?\nAnswer: 38212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6, -0.2, -12, 4, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1260 divided by 315\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 1. Let d(t) = 42 + 34*t**2 + 36*t**2 - 84*t**2. Determine -d(p) + 42*x(p).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 40 = 3*u + 1, -4*h - 2*u - 94 = 0. Let q = 22 + h. Let t = 734 - 733.7. Which is the fourth smallest value? (a) t (b) q (c) 2 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14188, -28298, -42342, -56320?\n\"Answer: 33*y**2 - 14209*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i*i**15\/i)\/i*i*i*i*i**(-5\/8))**7 assuming i is positive.\nAnswer: i**(1029\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.028 in -2\/5, 2\/11, -32?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 28808496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c + 4. Let u(r) = -r + 7. Let h be u(0). Let s = -8 + h. Let m be p(s). Put m, -1\/5, 4 in descending order.\nAnswer: 4, -1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 493.4 - 493. Which is the nearest to -1? (a) -2 (b) -3\/4 (c) f (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3128*1138.3.\nAnswer: -3560602.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*c + 19*c = -122 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -221353.5 - -11.\nAnswer: -221342.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -906 + 340. Let m = y - -565.9082. Round m to 3 decimal places.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 32*g - 37*g + a, 2*a = -3*g - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(9*g + 3*g - 2*g + 2).\nAnswer: -10*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2. Let q be 3\/6*(-1 - -1). Let l(x) be the second derivative of q*x**2 + 0 + 0*x**3 - x - 1\/12*x**4. What is l(t(n))?\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, g: 4, w: 5, f: 1}. Give prob of picking 1 w and 1 f.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = 7 + 53 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -305 - -365. Let z be (-5)\/(c\/(-8)) + 724\/(-1077). Is z less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/19 + 32802*y**4\/19 + 722442*y**3\/19 + 2791910*y**2\/19 = 0.\nAnswer: -17, -5, 0, 16423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 147056997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/13, 0.6, 1404?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.13632158\nAnswer: 0.27264316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/28*14\/(-4). Let i be n\/10*(0 - 5). What is the common denominator of 93\/10 and i\/(-10)*(-2590)\/(-42)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -4, 3 in descending order.\nAnswer: 7, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 105227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-24)\/9*(-9)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10335, -10315, -10269, -10185, -10051?\nAnswer: -9855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2) + -7 + 3. Let z be ((-4)\/(-12))\/(u\/(-24)). Let x(f) = 2*f**3 - f + 7 + 3*f**z - 4 - f**3 + 5*f. Determine x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11850 divided by 790\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - 0.21. Let j = k + 0. What is the closest to -0.1 in j, 1\/6, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-18) + ((-155)\/45 - -3). Which is the nearest to -0.4? (a) 3\/5 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4752 by -16.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2\/7 - 352*g\/7 + 7744\/7 = 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-56)*4*15\/525*-7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4790445?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51350 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 5\/24*i**4 - 1\/60*i**5 - 1\/120*i**6 + 0 - 8*i**2 + 0*i + 1\/3*i**3. Let c be h(-3). Let f(n) = -n**2 + 5*n + 5. Give f(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*-9*(-11)\/495?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -5, 19, -835, 5, 2 in descending order.\nAnswer: 19, 5, 4, 2, 0, -5, -835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2*u + 0 - 4)*(-4*u**4 + 4*u**4 - u**4).\nAnswer: 2*u**5 + 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*h - 0*h - 381, -2*a - 747 = 3*h. Let o = -358 - a. Solve 2*v - o = -4*w - w, -5*w - 3*v = -7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/104 and 45\/377538044.\nAnswer: 755076088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 69784 = 4*w, -5*w + 6*w + 55802 = 4*g. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.001 + -8660793314684.\nAnswer: -8660793314683.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/9 and 49\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 6967530*n - 4045539525075.\nAnswer: -3*(n + 1161255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 11*q + 10. Let i be v(-6). Suppose 4*w = -5*t + 19, i*t - 3*w - 1 = 8. Solve 0 = -5*n - 3*y - 3, -4*n - 2*y - t*y - 5 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 34*x**3 + 166*x**2\/5 - 4*x\/5 = 0.\nAnswer: -1, 0, 2\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12111221121121 (base 3) in base 5?\nAnswer: -1222304012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 442*j - 445*j + 3*n + 9, 0 = -n - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/7)\/(-4))\/(2\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3\/2 + 1770*x**2 - 66357*x\/2 + 104490 = 0. What is x?\nAnswer: 4, 15, 1161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 13 (b) 0 (c) 621 (d) 4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 288 - 286. Solve 4*j + c = 3*s, -4*s = 3*j - 7*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24926.\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/8)*c*c)**(-1\/5) assuming c is positive.\nAnswer: c**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 256007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - g + 2*g)*(-2*g + g + 2*g)*(149*g - 24 - 309*g + 154*g) to the form o*g + b*g**3 + n*g**2 + t and give n.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 4320.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4670406 months to decades.\nAnswer: 0.003892005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.123326, 3\/2, 4.7, -2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -228425?\nAnswer: -228428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 118*z - 4084. What is t(34)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2\/l*l*l**(-5\/6)*l)\/((l**8\/l*l)\/l*l*(((l**(-1)\/l*l)\/l*l)\/l*l)\/l))**(-19) assuming l is positive.\nAnswer: l**(323\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -176 + 181. Put 0, -22, x, -3 in decreasing order.\nAnswer: x, 0, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41872.325 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3827*d + 17. Let w(u) = 1913*u - 8. Let c(i) = -6*g(i) - 13*w(i). Is c(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 428, 1832, 4244, 7676, 12140, 17648, 24212, 31844?\n\"Answer: 2*u**3 + 492*u**2 - 86*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*(-3 - -1). Suppose -2*o = u*f - 14, o + 3*o = -5*f + 26. Let z(g) = 5*g - 6. Is 13 a factor of z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(5)*2 - -1*sqrt(5)*-1.\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 - 148. Which is the biggest value? (a) 2\/5 (b) -6\/11 (c) 7 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-75))\/(1*(-5)\/50)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o + 10. Let s be k(-4). Let p be (2 + (-4)\/10)\/((-12)\/s). Solve 0 = 10*u - 6*u + p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61621?\nAnswer: 7, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.031 - -2.131. Let c = v + -27.1. Let x = c + 24.9999993. 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 o = 48.69 + -48.641. What is the nearest to -3\/5 in 2, 1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 3*z - 3*z + (-6 + 1 + 3)*(1 - 1 + 2*z) - 43*z + 178*z + 14*z + 36*z to the form v*z + r and give v.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 544*q - 73277. Calculate b(-245).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -3*a**4\/20 + 47*a**3\/5 - 2109*a**2\/10 + 9747*a\/5 + 1974. Suppose c(h) = 0. Calculate h.\nAnswer: 9, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142.1 + -141.1. Suppose -4*k + 2*k = -6. Suppose -2*l = k*l + 370. Is l at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 661 - 133 = 0. Let v be (u\/(-8))\/11*(-88)\/(-6). Solve 1 = 6*y - v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 33 = -3*g - 12*v, -4*v = -5*g - 9. Solve -4*o + 32 = g*t, -5*t + 2*o - 10 = -20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1168 - 659. Let r = -737 - g. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 25*w**2 - 45*w + 8. What is f(-23)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1210032032?\nAnswer: 1210032100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53428 by 361.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.063.\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3466*x**2 + 3466*x**2 + 21 - 324*x**3 + 1104 wrt x.\nAnswer: -972*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 10 + 13. What is the least common multiple of c + 5 - 3 - -13 and ((-6)\/(-4))\/((-3)\/(-20))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 470?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17964 and 16467?\nAnswer: 197604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -11. Suppose -r*a + 0*a = -84. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-47)\/(-2) - 83\/(-166). Suppose -i*t + 120 = -18*t. What is the remainder when 215 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 14*w + 21. Let v be i(12). Let b(c) = 102*c + 2. Let o be b(v). Let h = -199 - o. List the prime factors of h.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 764*g**5 + g**3 + 2940*g**2?\nAnswer: 45840*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102165 - -19763. Let a = -13 + 9. Let n be 1\/a + v\/(-8). Round n to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -3) + -5 - 99\/33. Let g be ((-4)\/(-8)*-8 - j)*-1. Let u(y) = y - 1. Let p(b) = -2. What is g*u(d) + 2*p(d)?\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -12) + (-2 - (1 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)\/i)\/(i*i\/(i\/(i*i*i**(-6)\/i)*i)))\/((i*i**(-3\/5)\/i)\/(i\/i**(2\/15))) assuming i is positive.\nAnswer: i**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 135 in descending order.\nAnswer: 135, 9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5 - 33 + 1 - 377*h - 18 + 401*h. Let j be k(2). Solve 0 = -3*m - j, 5*o - 2*m - 3*m = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/15 - 287036*p\/15 - 10298708162\/15.\nAnswer: -2*(p + 71759)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -18. Put 4, v, 2 in descending order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 9342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 818070 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661 take away 4460?\nAnswer: -2799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/3)\/((-6)\/60*-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 65022*n**2 + 523736928*n - 77315039360.\nAnswer: 2*(n - 145)*(n + 16328)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14 - 17)*(1 + -2 + 0). Solve -a = z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or 40126\/567?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15695? (a) 2 (b) -1\/142 (c) 0.2 (d) 4 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1. Let g(q) = -q + 2*q + 0*q + 4. Let x = 1262 - 1261. What is x*g(i) - 3*b(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*(-108)\/(-81). Let z be (t\/33)\/(4\/(-3))*-4. What is the closest to 0 in z, 2.1, 2, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605 (base 8) to base 12.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s - 303 - 138 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(45).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27640 and 4691890.\nAnswer: 18767560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5502 + 12045 + 2634 = -961*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((36\/(-8))\/9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1101 - 1?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 50*s**2 + 10*s - 11. Is u(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 3 - (-856)\/(-430). Let y = 34\/43 + h. Suppose -3*d - 5 = 7. What is the closest to -0.1 in y, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 29607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + 3*sqrt(300))**2 + 2*(sqrt(243) + 6*((-2*sqrt(243) - sqrt(243)) + sqrt(243)) - sqrt(243))**2.\nAnswer: 360*sqrt(3) + 72720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 2, i: 1}. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -789499?\nAnswer: 789499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 273.0113 millennia?\nAnswer: 2730.113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -99*l**3 + 3*l**2 + 15*l + 28. What is c(-2)?\nAnswer: 802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 18736.8 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3469 + -1259. What are the prime factors of v?\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 3000231?\nAnswer: 3000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - 6*q**3 + 0*q**3)*(-2*q - 1 + 1) + 4*q**2 - 3*q**4 - 4*q**2 - 2*q**4 - 12*q**2 + 12*q**2 - 6*q.\nAnswer: -q**4 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-10))\/n**(-4))**(-1\/19))**(2\/77))**(-1\/2) assuming n is positive.\nAnswer: n**(-5\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -37, -2, 28 in ascending order.\nAnswer: -37, -6, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11364971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, v: 4, u: 3}. What is prob of sequence mmuv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -902095*i**4 + 30*i**3 - 45095387 wrt i.\nAnswer: -3608380*i**3 + 90*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 375850151\/35 + -10734644. Let k = -3932 + j. Is -1 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + 2 + (3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - 2)*(-5)\/(-15). Solve -f = -x + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58724 and 18?\nAnswer: 528516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 20. Suppose l*b = 17*b + 10. Solve -3*z - a + 6*a = 1, 2*z + 2*a - b = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.088 - 3.912. Let p = 1146 - 1145.7. Put 5, w, -11, p in descending order.\nAnswer: 5, p, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -h + 2*t, 0 = -2*h + 2*t - 0*t - 16. Let k(b) = -4*b - 2*b + 69505*b**2 - 17 + 120618*b**2. Let d be k(h). Round d to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7889, 9235, 10579, 11921?\n\"Answer: -w**2 + 1349*w + 6541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*n + 2 = 0, 2*w + 7*n = 4*n + 23. What is the lowest common multiple of 3 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2996540*g**2 + 1815570 wrt g?\nAnswer: 5993080*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.47165.\nAnswer: -0.141495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 19 = -4*g - 12, -10 = -5*g + 5*w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 715*w**2 - 790*w + 1. Give r(1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 1564579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - h + 5172 = -20231, -2*h = 4*n - 20326. What is the highest common divisor of 40 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 18 = 5*b. Let h(m) = -3*m**3 - 16*m**2 + 8*m - 25. Let z(p) = p**3 + 8*p**2 - 5*p + 11. Let l(x) = -2*h(x) - 5*z(x). Determine l(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0 + 0)*(-2*w**4 + 4 - 4)*(3 + 1 + 0)*(0 + 1 - 3).\nAnswer: -32*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 5 - 5)*((2 - 2 + 2*f)*(-f**3 + f**3 + 2*f**3) + 956*f - 33*f**4 - 956*f) - 12*f**5 + 4*f**5 - 3*f**5.\nAnswer: -40*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 380116740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, u: 2, i: 4}. What is prob of picking 1 i and 1 u?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58965?\nAnswer: 3, 5, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - -5. Suppose 29 = x - l. Suppose i - x + 2 = 0. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*r*v**5 - 12*r*v**3 + 7*r*v + 6*v**2 wrt v.\nAnswer: 1140*r*v**2 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v**3 - v**2 - 2*v - 1. Suppose -5*g - 15 = 0, 5*t - 4*g = -2*g + 1. What is the remainder when 42 is divided by h(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2399608.\nAnswer: 2, 299951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -601 (b) -10 (c) -3\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/4 - 189*c\/4 - 486 = 0. What is c?\nAnswer: -9, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 11*q - 23. Let k be z(-7). Suppose k*s + 2733 = 3*p - 2087, 2*s = 4*p - 6408. What is p rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = 5. What is k in 0*k**2 - 3*k**4 - 2*k**2 - 8*k**v - 3*k**4 = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 201 = -41, -7*n + 2*n - v - 38 = 3*v - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -52, -197, -344, -493, -644?\n\"Answer: -r**2 - 142*r + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, 71, 252, 601, 1172?\n\"Answer: 9*o**3 + 3*o**2 - 5*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(12636\/(-208)))\/((-3)\/(9\/(-2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - x**2 - 3*x - 5. Let o be v(-2). Solve 2*p + o*t + 10 + 21 = 0, -4*t - 23 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3821 to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 1:50 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8923.1 - -8923. Let l = -0.05 - 0.35. Sort l, 0.3, j, -0.5 in ascending order.\nAnswer: -0.5, l, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5819 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -3257.\nAnswer: 977.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.396274 centuries?\nAnswer: 739.6274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**3 + w**2 - 7. Suppose -15*o + 119 = -136. Let i(f) be the second derivative of -7*f**5\/10 - f**4\/4 + 10*f**2 - 3*f. What is o*j(a) + 6*i(a)?\nAnswer: a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*q - 37 - 835, -2*t + 462 = 4*q. Suppose -2*j + 22 = h - 65, h - 222 = -5*j. What is the remainder when t is divided by j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2 (c) 453 (d) 4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*c - 0*c. Find the second derivative of -29*g**c + 32*g**5 + 8*g - 4*g wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0442? (a) 2\/15 (b) -0.03 (c) -1\/4 (d) -2 (e) -42\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1558 smaller than -3115\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -436 + 1?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 604, 817, 1026, 1231, 1432, 1629?\nAnswer: 1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794*w**3 - 3474*w**3 - 872*w**3.\nAnswer: -5140*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*y + 28362, 5*t - 28377 = -4*y + 8*t. What are the prime factors of y?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1) + (-121)\/77. Let g = -139\/35 - q. Which is the biggest value? (a) 7 (b) 1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (7 - (26 + -13))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Suppose -w + l = -u*w, 0 = -w - 3*l + 16. Let h be -1*1 - (w + -9). Solve -1 - h = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**4\/6 + 2*k**2. Let h(m) = 0*m - 6*m - 7 + 0*m. Let p(w) = -4*w - 5. Let b(x) = 5*h(x) - 7*p(x). Determine o(b(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o + 60*o - 4*z + 31 = 0, o - 13*z = -47 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -54, -64, -68, -72, -82, -104, -144?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -704*z - 20. Let p(l) = -235*l - 7. What is 4*g(d) - 11*p(d)?\nAnswer: -231*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 103 = -3*b, -124 = -13*b + 9*b + 8*h. Solve -11*v = -b*v + 210 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1404, -11061, -27148, -49659, -78588, -113929?\nAnswer: -155676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n + 9 = 0. Let m(t) = 3*t. Let j(l) = 2*l - 5. Let d(s) = -2*s + 6. Let h(c) = -5*d(c) - 6*j(c). Calculate n*m(i) - 4*h(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*1201630\nAnswer: 120163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -289.4 - -289.38. What is the closest to 1\/3 in -1\/3, 0.02, w?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*l**6 + 1114*l**3 - 7675948*l**2.\nAnswer: 1800*l**3 + 6684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 42?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 503\/3893 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 28 (c) -145 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 254 + -195. Suppose -w*p + 62*p - 1173 = 0. Calculate the greatest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211347182?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2821 and 3523.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 6*d**2 + 10*d + 6. Let o be y(-4). Let h be 871\/(-4) - o\/(-8). Let m = -2402\/11 - h. Is -0.1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/12*(1 - 11\/5)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125640 by -52.\nAnswer: -31410\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 9:15 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -7, 7, 23?\n\"Answer: n**2 + 9*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.986 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10033092 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 d when three letters picked without replacement from {d: 2, i: 1, v: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -120*d. Calculate w(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 4*l**2 - 2*l. Let w be q(2). Let y be ((-11880)\/(-11))\/90 + 0\/(-1). Solve -2 = -3*k + u - 1, y = 4*k - w*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*b - 0*h + 138, -b + 2*h = -66. Is 5\/2*19348\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:58 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 + 2*q**5 - q**5)*(2 + 2 - 1 + (-3 + 2 - 1)*(0 + 0 - 2)).\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/778 and -24\/125647.\nAnswer: 251294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5419, 5421, 5423, 5425, 5427?\n\"Answer: 2*w + 5417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/((-27)\/2))\/((-2)\/27). Let r(o) = -20*o - 4. Let j be r(y). Let k = j - -351. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:21 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**2 - 231*z + 196. Give s(-47).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302260?\nAnswer: 2, 5, 7, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 - 8)*(2*w - 5 + 5)*(-20*w - w - 9*w - 40*w).\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 5*i**2 - 4*i + 2. Let n be b(6). Suppose -645 = 9*s - n*s. Let r = s + -55. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-30)\/9327) - 1\/2. Let o = v + -767. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/6 - 140*a\/3 - 2624 = 0?\nAnswer: -48, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*z - 2)*(-1 - 2 + 5)*((-2 - 3 + 3)*(30 - 2 + 12) + (4 - 1 - 5)*(3 + 1 - 5)) to a + w*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 22 + 4788 + -4857\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + m - 17 = 0, 6*z + 2*m - 10 = 10*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x**2 - 76*x + 2162. Let t be b(10). Factor 1\/2*v**t + 4*v + 7\/2.\nAnswer: (v + 1)*(v + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/20*-4)\/((-90)\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1103?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10071 - 312244\/31. Let j = 1744\/265 + 1\/53. Find the common denominator of g and j.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 36) + (-3 - 5) - (-1 - 2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.7 times 8633?\nAnswer: 1896670.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490121*a**3 - 16*a**2 + 8*a**2 + 4*a**2 + 5*a**2.\nAnswer: 490121*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, -41, -122, -211, -308, -413, -526?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80 - 13*v + 80 + (-1 - 3 + 2)*(2*v - 2*v - 2*v) + 0*v + 0*v - 3*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6354.572nm in meters?\nAnswer: 0.000006354572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 90178 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 11:40 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-23 - -153)\/(-10))\/((-4)\/(-4)). Let p(z) = 8*z + 2. Let c(q) be the second derivative of -17*q**3\/6 - 2*q**2 - 6*q. Give y*p(a) - 6*c(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7 and 79.443.\nAnswer: 86.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 36*x**2 - 687*x + 52. Let o be r(-50). Does o = -6566\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1663938 and 14841.\nAnswer: 28286946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 - -3.1.\nAnswer: -55.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 151800, 303571, 455330, 607071, 758788, 910475, 1062126?\n\"Answer: -f**3 + 151778*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 2*u + 8. Calculate the smallest common multiple of k(0) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 207*o. Let i(t) = -25*t**2 - 24*t + 9. Let g(y) = -1876*y**2 - 1792*y + 672. Let p(f) = 3*g(f) - 224*i(f). Calculate p(m(h)).\nAnswer: -1199772*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 985110222854 + -0.3.\nAnswer: 985110222853.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6027020171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 12*j**2 - 5. Let x be h(12). Let r(i) = i + 7. Let c be r(x). Let y(s) = 23*s - s**c - 23*s. Let p(w) = -10*w**2. Calculate y(p(n)).\nAnswer: -100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 9:14 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 5*i = 5830. What is the greatest common divisor of 99 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 103293, 206809, 310325?\n\"Answer: 103516*q - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -25*o**3 + o. Let i(f) = 28*f**3 - f - 1. Determine 2*a(b) + 3*i(b).\nAnswer: 34*b**3 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 15*f**2 + 16*f + 15. Let k be a(16). Solve d = 4*x + 11 - k, 2*d = -4*x + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2806 is divided by 40.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:49 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-6 + 0)) + -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3628 and 109\/1369570.\nAnswer: 2739140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1353 - 1180. Which is greater: 1\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 783c9 - -4?\nAnswer: 783cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - q - 30 = 0, q - 12 = -p - p. Let h(v) = v**3 - 6*v**2 + 4*v - 9. Let l be h(6). What is the highest common divisor of p and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, z: 1, x: 2, r: 1, s: 1}. What is prob of picking 1 x and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2928 - -3054. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077695113 to 3 dps.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6503, -26488, -59829, -106526, -166579, -239988?\n\"Answer: -6678*h**2 + 49*h + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3118181 is divided by 1559076.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5935, -10826, -14675, -17482, -19247?\nAnswer: -19970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 635166?\nAnswer: 635162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325652 - 1138*h**2 - 325652.\nAnswer: -1138*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 70795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.9 + 12. What is c rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2075*s + 63 = 2096*s. Let x be (2\/3)\/((-2)\/3). Put -8, s, x in ascending order.\nAnswer: -8, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 33 = -2*a. What is the smallest common multiple of 2 and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72530 + -1167.1961.\nAnswer: 71362.8039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.456 + -0.319. Let w = u - 0.246. Round w to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-24)\/(-32))\/((-6)\/16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 57*x**2 + 41 - 80 to the form n*x**2 + o + y*x and give n.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.026.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-45) - (-27762)\/216. Let o = y + -3601\/28. Let h = -0.34 + -0.06. Which is the nearest to 3\/19? (a) h (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00326 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 20\/317 (c) -1\/4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 596145 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (-4 + (-10 + 11 + 6 - 8)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*f**4\/2 + 6*f**3 + 25*f**2\/2 + 3*f.\nAnswer: -f*(f - 3)*(f + 1)*(7*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -898265 + 7232981\/8. Let v = d - 5869. Find the common denominator of -17\/93 and v.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-358282)\/(-620)*((-48)\/28)\/3. Let v = -1651\/5 - n. Is v bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 2 - -9 - 45\/18. Suppose -3*f**2 + w*f**3 + 0 + 0*f + 0*f**4 - 3\/2*f**5 = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -144*f**2 - 21*f - 35. What is b(-2)?\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**5\/80 - k**4\/4 + 5*k**3\/6 - 20*k + 1. Factor d(t).\nAnswer: t*(t - 10)*(t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - w + 2, -2*a = -w - 3*w + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 1849498 = -3*c. Suppose -x + 95593 = 5*j, 0 = -5*j + 2*x - 36508 + c. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 n when three letters picked without replacement from {g: 4, n: 3, j: 6, o: 2, u: 1, z: 4}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 75*l**2 - 5*l - 3. Let q be c(-4). Let p = q - 310. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p - 22. Let u(x) = x**2 + 2*x - 3. Let c be u(-5). Let z be j(c). Suppose -10*h + 2425 = -1755. Calculate the greatest common factor of z and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 - 4 - -4) + 2532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4202475 and 34113?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, p: 7, n: 4}. What is prob of picking 2 p, 1 o, and 1 n?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 2*v**2 + v + 1. Let r be p(2). Let j = 15 - 5. Suppose 4*n + n - j = 0. Solve -m = -n - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 8, -464\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20)*2)\/3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 17. Let l be c(-14). Suppose 4*x = 2*r - 6, -l*r - 2*r + 15 = -2*x. Find the second derivative of 2*h - 3*h + x*h - 4*h**3 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37a91 (base 11) to base 16.\nAnswer: -d516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(30))\/sqrt(6) + ((1 + sqrt(5) + sqrt(5))*1)**2.\nAnswer: 2*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 35. Let p be w(11). Let d = p - 43. Suppose 3*k + 5*o - 1 = d, 4*o = 3*k - 13. Solve -k*a - 20 = 4*q, -q - q = 4*a + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11*g + 3*g - 92 + 98 - g**2. Let x(t) = t**3 - 7*t**2 - 7*t - 16. Let b be x(8). Determine w(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5456*r - 105310 - 52914 = 0 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(2*-1 - -3). Let i(a) = a + 7. Let n be i(r). Suppose -2*p + 4 = 3*t - t, 0 = p - 4*t + 13. Put p, 3, n in decreasing order.\nAnswer: 3, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 137571 and 32132655?\nAnswer: 224928585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 209437560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -5. Let n(i) = 9*i**3 + 9*i**2 + i - 1. Let c be n(q). Let a be 1\/(-6) - c\/(-36). Calculate the greatest common divisor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4382*l + 118444 + 275936 for l.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 t, and 1 y when four letters picked without replacement from {t: 2, a: 1, b: 3, p: 1, y: 1, n: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-540)*14)\/(14\/6). Let u = -0.8 - 3.2. Sort 19, u, d.\nAnswer: u, d, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, a: 3}. Give prob of picking 4 u.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = -7. What is the first derivative of -7 - 1 - 1 + q*n**4 wrt n?\nAnswer: 44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*q + 4, 5*q - 19 = 2*g. What is the lowest common multiple of g\/(-4) - 57\/(-12) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/18133442 and 3\/63467047?\nAnswer: 126934094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 6:53 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -594\/257 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -5*z**4\/4 - 11*z**3\/3 - 95. Let n(m) = -m - m**3 + m - 2*m**2. What is 33*n(k) - 6*t(k)?\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 = 2*g, -2*z + 3*g + 19 = 5. Let w be (6 - 1\/z)*(13 - 14). Put -4, w, 5, -0.1 in descending order.\nAnswer: 5, -0.1, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -x - 4, -5*x - 5 = 8*q - 3*q. Let g = -0.07 + -0.23. Which is the closest to -0.1? (a) -5 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*b - 6 = -279*b. Suppose -3*l - 2*j = -0*j, 3*l + 3 = -3*j. Let v be 2\/(3\/(3\/2)). Solve l + v = -b*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4882024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 13 - 37. Let t(f) = -f**2 + 5*f + 5. Determine t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x - 225*x + 717 + 1274 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136547407*n**3*o**3 + n**3*o**2 - 9*n*o**3 + 7*n + 44*o**3 - 2*o**2 - o + 6 wrt n?\nAnswer: -819284442*n*o**3 + 6*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -262978871*a - 100627887 wrt a.\nAnswer: -262978871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m + m - x, 0 = 2*m + 2*x + 10. Let t(u) = u + 2. List the prime factors of t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395 = -69*o + 12*o - 1649 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - (-94 + (86 - 44))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.3, 18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2180*p**3 + 429*p?\nAnswer: 13080*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**3 - 853*i**2 + 330*i - 2097. Calculate v(-171).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 2223, 4 in descending order.\nAnswer: 2223, 39, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10547882 - -6435736?\nAnswer: -4112146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x - 15*x - 14*x)*(-x + 3*x - x).\nAnswer: -43*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1909 + 623 + 7*l + 4*l.\nAnswer: 11*l - 1286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttuttwtttuu. Give prob of picking 1 t, 2 u, and 1 w.\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 0 + 1\/6*k**3 + 77*k - 14\/15*k**6 + 0*k**4 + 19*k**2 + 0*k**5. Find the second derivative of s(o) wrt o.\nAnswer: -336*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -236 - 506. What are the prime factors of w?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 4.60188461.\nAnswer: -4.20188461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114223384 and 1672?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12829239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 46636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364071544.\nAnswer: 2, 45508943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + 2 + 8*7 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -6535a?\nAnswer: 65355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-18 - (-11 + 30)) + 153).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6739659 and -83\/823581?\nAnswer: 4374038691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.628784 less than -34760009?\nAnswer: -34760009.628784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*i - 6, -3*j - 6*i = -i + 10. Suppose j = k + 2*x + 156, -k - 5*x = 4*k + 805. What is the common denominator of k\/(-12) + 3 - 3 and 32\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 15 = -2*f + 3*s, 5*f = 2*s + 10. Let j be f - -1 - (0 + 1). Is -1 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 2\/3*z**3 + 5 + 0*z**2 + 0*z. Let i(p) = -14*p. Determine x(i(v)).\nAnswer: 392*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {y: 16, j: 1, b: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-53)\/(-265))\/((1\/(-3))\/1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1205 - 880. What is the least common multiple of h and 20?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4499008?\nAnswer: 2, 70297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11714 + -1634. Calculate the highest common divisor of p and 448.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 19 = -m - 2*m, 0 = -2*l - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/(-14) + (-16)\/112 + 1. Let d be (-492)\/36 - (4\/(-6) + 0). Sort d, 3, w in ascending order.\nAnswer: d, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2201001?\nAnswer: -2200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3 + 4*i**3 + 1 + 0*i**3 - 4 + 6*i**2. Suppose -4*c - 6 + 26 = 0. Suppose -4*d - 25 = -1. Let x(n) = 3*n**3 + 5*n**2 - 5. What is c*o(r) + d*x(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -14*x**2 + 8*x. Suppose -13 + 7 = -2*b. Let n(p) = p - 1. Let z be n(b). Let f(t) = 4*t + 2*t - 9*t**z - t. Give -8*f(v) + 5*s(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from {u: 1, k: 1, f: 1, r: 1, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from {d: 7, n: 1, h: 3, k: 2, f: 4}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 351437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) 0.03 (c) -4\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 8*i - 7. Let f be z(6). Let l(m) be the second derivative of 3\/5*m**3 + 2\/5*m**2 - 6*m + 0 + 2\/5*m**4 + 1\/10*m**f. Factor l(j).\nAnswer: 2*(j + 1)**2*(5*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -156*l + 476. Determine t(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.23 + -664.36.\nAnswer: -665.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -61.89. Let p = j - 1.11. What is the biggest value in -4\/5, p, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 - 64. Let u be 6\/(-4) + 1\/1. Sort b, 4, u in increasing order.\nAnswer: u, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -5*c + 115. Calculate the greatest common factor of c and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3 - 216*c**2\/7 + 249*c\/7 - 54\/7 = 0 for c.\nAnswer: 2\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence san when three letters picked without replacement from {e: 1, a: 6, n: 6, t: 1, g: 1, s: 1}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, g: 1, f: 2, y: 1}. What is prob of sequence yfgf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1233546553 to the nearest integer?\nAnswer: 35122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 862 = 5*r + 87. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 10*c**2 - 18*c - 7. Let x = -142 - -149. Let j be u(x). Solve -3*w - k + j = 0, 3*k = 3 + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2388 = -2*c, 2*c + c + 2*p - 3578 = 0. Let r be c\/153 + (-2)\/(-9). Which is bigger: r or -9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120529, 120416, 120227, 119962, 119621, 119204, 118711?\nAnswer: 118142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 41843*k**2 - 25*k - 6. Let l be f(-10). Suppose -l + 530544 = -6*m. What is m rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.47 - 0.4.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 7:30 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -145156*w**2 + 69*w + 7332757.\nAnswer: -290312*w + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(3 + (3 - 1)). Solve -1 = f - k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/8)*r**(-1\/3))**(-1\/5)*(r*r*(r*r**(-3))\/r*r\/r**(3\/2))**4 assuming r is positive.\nAnswer: r**(-721\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -0.02. Let o = 1.16 + 0.82. Let l = o - d. What is the smallest value in 2\/7, -1\/7, l?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-168)\/(-32) - 2\/8. Suppose -2*p - 15 = -7*p. Suppose p*b = d + 4. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*s + 8 + 8, -3*f = -3*s + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.556 + 0.056. Round w to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + a**3 + 293*a + 0*a**3 + 2*a**2.\nAnswer: a**3 - a**2 + 293*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*w + 44 = 0, 102323*u - 3 = 102321*u - 4*w + 37 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.645524665 rounded to 3 dps?\nAnswer: 1.646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36200 rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -301147*x**3 - 63924343*x**2 wrt x?\nAnswer: -1806882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 8, g: 7, z: 2, y: 2}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -394?\nAnswer: 8668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0148 - -2.0148. Let s(y) = -y - 2. Let u be s(-5). Which is the nearest to -2\/9? (a) l (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 + 7*g**3 + 11*g**3 + 2*g**2 as c*g + v + s*g**3 + o*g**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 5*b + 5*b)*(-3*b + 11*b + 5*b).\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 7*s**2 - 2*s - 2. Let a(t) = 8*t**3 - 29*t**2 - 9*t - 9. Determine 2*a(o) - 9*k(o).\nAnswer: -2*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3.1. Let p = 0.9 - -1.1. Let u = -0.34 - -0.04. What is the second smallest value in p, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 221250584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62486?\nAnswer: 2, 157, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from ddedeedddddeddeddd?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 444*m + 60. Let p be h(2). Is 949 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -41*h + 929. What are the prime factors of f(-18)?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120.52*4394\nAnswer: -529564.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 480 - 232. Suppose 7*z - 1172 = -h. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 1)*(-13*o - 5*o - 7*o) + 2*o - 3*o + 2*o + 4 + 2*o - 4 + 0*o + 2*o - 3*o + (2 + 2 - 3)*(4 - 4 - 2*o) - 2*o + o + 3*o - 1 + 2*o + 1.\nAnswer: -146*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**3 + 3*o + 3. Let j(k) = -17*k**3 - 7*k - 7. Calculate 3*j(z) + 7*w(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/11 + 4360718*a**2\/11 + 1189288*a + 8721448\/11 = 0.\nAnswer: -2, -1, 2180362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 165 = -0*t. Let r be ((-4)\/6)\/((-2)\/t). Let z = r + -8. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1262*b + 1256*b = -30. Suppose 3*n + 54 = b*n + 4*q, 0 = 5*n + 5*q - 150. Let x = -6 - -15. Calculate the remainder when n is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/2 (c) -2 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308913180.\nAnswer: 2, 3, 5, 5148553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -1, -5, -31 in decreasing order.\nAnswer: 5, -1, -5, -11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1014 - 23233?\nAnswer: -24302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 6*f**2 + 5*f + 2. Let g be 2\/7 + 4\/(-14). Suppose 6*y - 2*x = 3*y + 49, g = 2*y + x - 28. Let n be ((-50)\/y)\/(4\/(-6)). Calculate c(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*(sqrt(3) + (sqrt(24)\/sqrt(4))\/sqrt(2) - sqrt(15)\/(sqrt(15)\/sqrt(3))))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*j + 0 = 13, 10 = -2*j. Solve 0 = 2*t + k + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/11)\/(s*s\/((s**(6\/19)\/s*s*s)\/s)))\/((s*(s\/s**(-18\/7))\/s)\/s*s*s*s**(2\/47)))**35 assuming s is positive.\nAnswer: s**(-2102840\/9823)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129712 - 678612 - 244541 = -45*u. List the prime factors of u.\nAnswer: 3, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31770 by -1792.\nAnswer: 15885\/896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 10*t + 16. What are the prime factors of m(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1771 and 43351?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 81*v - 2. List the prime factors of z(1).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -9 - 3*g**5 + 20*g + 30*g**2 - 25\/2*g**4 - 5*g**3. Solve w(s) = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338875460 and 1232?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = 3. Let h be z\/24 - (-9301)\/6. Suppose 5*g + 2914 = p, -3*p - 3*g + 7282 = -h. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - j + 646 = 0, 0*j - 4*j = -3*s + 671. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44900, -89792, -134680, -179564, -224444, -269320?\n\"Answer: 2*u**2 - 44898*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13020*d - 16526*d - 115698 = 0 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**2 + 4. Let k be r(-2). Let y be (-19 - k)*6\/40. Factor 3\/2*q + 3\/4 + y*q**2.\nAnswer: 3*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:37 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**4\/2 - d**3 + 3*d**2\/2 - 2*d - 87. Determine g(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37587759*b**4 - 7*b**2 + 18991*b - 6.\nAnswer: -902106216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110.9 - -94.36. What is x rounded to one dp?\nAnswer: -16.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 10*k**2. Let v be m(-1). Let w be (9\/3)\/3*-3. Let c = 0 - w. Solve -3*o + 0 + 18 = -3*g, 0 = -c*g - 5*o - v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37.82? (a) -0.3 (b) 0.5 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 12*t + 6. Let i be 4\/2*64\/8. What is the units digit of l(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -20\/159211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -5*b + 29, -5*b = -2*g - 25. Let s(x) be the second derivative of -1\/12*x**3 + g*x**2 + 0 - 5*x - 1\/24*x**4. Let s(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(20)*-2)**2 - (-3*sqrt(200)\/sqrt(5))\/sqrt(8).\nAnswer: 3*sqrt(5) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-4)\/(12\/3). Solve 3*h - u*h = -3*o - 10, 3*h - 18 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 3813*t + 239371. Give l(65).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-33))\/1*21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g - 142 = 0. Let m = 132 + g. List the prime factors of m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = z - 4, -4*s + 0 = z - 4. Suppose 5*m - 8 - 12 = s. Factor -4 + 3*b**2 + m.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7335, -0.3, 0.01, 0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -10. Let h(w) = -21*w + 15*w - l + 0. What is the units digit of h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6691.8 + -6692. Let z = -0.4 - 0. Let k = -0.1 + z. What is the nearest to -2 in -1\/3, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37978 by -17.\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -443725 - -853754. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7473.9642 rounded to the nearest one hundred?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 112384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1614589?\nAnswer: 1614589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165423 (base 8) to base 15.\nAnswer: 12c6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = f + f. Let v = -34 + f. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-186)\/(-91) + -2)\/((-4034)\/(-42357))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31308 (base 13) to base 10.\nAnswer: 88395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 12*z + 18. Let s be u(13). Suppose 0 = -i - 4*k + 63, -2*i = -0*i - 2*k - 106. What is the greatest common divisor of s and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 2*q**2 - 2*q. Let m be l(2). Let h = 46.01 + -44. Let r = h + -0.01. Put -0.5, m, r in increasing order.\nAnswer: m, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -493\/3 + 164. Which is the nearest to -2\/11? (a) 3 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*a = 54, -29*a - 371 = -184*y + 186*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16919, 11490, 6061?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + 6 + (1 - -3 - 18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5.8 or 94\/73?\nAnswer: 94\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + (4 + 1 + 2*sqrt(720) + -2 + 2)**2.\nAnswer: 240*sqrt(5) + 2911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.4946596m?\nAnswer: 0.0004946596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 438409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 5*g + 2. Let a be (-2)\/(-4) + (-54)\/(-12). Determine f(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057531 rounded to 3 dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 x, and 1 c when four letters picked without replacement from xyddxxbxbxcyxxxcy.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 3*g**2 - g - 5. Let l be p(-3). Find the common denominator of -6\/5 and ((l - (-127)\/2)\/9)\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -512\/15*x**3 + x - 4\/5*x**6 + 0*x**2 - 2\/105*x**7 - 193\/25*x**5 + 4 + 32*x**4. Factor f(b).\nAnswer: -4*b*(b - 1)**2*(b + 16)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 9 - 3. Is 5 a factor of 62\/h + (-10)\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*h - h = -28, -2*m + 4*h + 8 = 0. Let k = -2 - m. Factor 1\/4*v**3 - k - 3\/2*v**2 + 3*v.\nAnswer: (v - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(2) - (sqrt(6)*2)\/sqrt(3)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.137 - 0.268. Let x = u - -1.131. What is the fourth smallest value in 3\/4, x, -3\/4, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 30.00000071. What is f rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((60\/(-35))\/4)\/(((-1287)\/(-33))\/1365).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-28)\/40)*8\/(-14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.1? (a) -1\/6 (b) 452\/327 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + 18. Suppose 5*v - 3*c = -0*c + 57, x = 4*v - c. Let g = 55 - 33. Calculate the lowest common multiple of g and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, 0, 2, 619, 5, -2 in ascending order.\nAnswer: -130, -2, 0, 2, 5, 619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -44. Suppose 4*k = 9 - 45. Let q(j) = -3*j**2 - 2*j + 8. Let i(b) = -13*b**2 - 9*b + 31. Let x(h) = k*q(h) + 2*i(h). Calculate x(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 636409?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.21 + 3.21. Round v to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0, -0.8, 1\/68, 4\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**2*q**2*z + 941*c**2*q*z**3 - 2*c**2*q - 3848*c*q**2*z**2 - 3*q**2*z**3 wrt z?\nAnswer: 5646*c**2*q - 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*t - 40 = -114*t + 249*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 183369821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - k + 6*k + (-3 + 1 + 1)*(3*k + k - 3*k) + 0 + 0 + 2*k + k + k + 0*k - k + 2 - 2 + 18*k + 17*k + 11*k)*(-3 + k**2 + 3)*(-k**2 + k**2 + k**2).\nAnswer: 50*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -0.1 (c) 1848253\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 280\/149 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97124213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = 3*p + 6*z, 0 = 2*p - z - 9. What is the third smallest value in 1\/5, -0.0201, -2\/3, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*t = 2*t + 18, -5*t - 30 = -5*p. Solve s + 1 = p*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -587 + 591. Put -1.9, z, 5, -1\/7 in descending order.\nAnswer: 5, z, -1\/7, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-17)\/18)*(82\/2 - (-20111)\/(-442)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (6*(sqrt(1331) + sqrt(1331) + 1))**2 + (sqrt(1331) + (-1*(sqrt(1331) + sqrt(1331) + 1*sqrt(1331)))**2 - sqrt(1331)))*-1*-2*1.\nAnswer: -814696 - 6336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 8*y. Let p(h) = -8*h**3 - 16*h**2 - 24*h - 12. Let l(z) = z**3 + z + 1. Let a(o) = y*p(o) + 4*l(o). Find t, given that a(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/4*494\/3. Let m(h) = -3*h**2 - 141*h - 100. Let f be m(-46). What is the greatest common factor of f and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469787 is divided by 218?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hssh when four letters picked without replacement from ssshssshsss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -1441 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0*j**3 + 1\/12*j**4 + 0 + 2*j + 0*j**2. Let w(x) be the second derivative of -2*x**3\/3 - 18*x. Give w(q(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u + 2. Let k(x) = 19*x - 1. Let w(t) = 6*t. Let i(b) = -k(b) + 4*w(b). What is -5*i(h) + 2*q(h)?\nAnswer: -5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**3 + 38*y**2 + 194*y + 173. Let l(g) = 4*g**3 - 53*g**2 - 258*g - 230. Let n(m) = -7*l(m) - 9*x(m). What is n(31)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4004*z + 2006*z - 1 + 2005*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from aahakkayaaak?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -105*s**2 - 489*s\/2 + 660.\nAnswer: -3*(5*s - 8)*(14*s + 55)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05407593 to four dps.\nAnswer: -0.0541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 19. Let p = q - 6. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-230)\/(-4)*4\/2.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-392)\/6 + 1*-3. Let n = i + 69. What is the smallest value in n, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.862 + 3.8. Let u = p - -1.302. What is u rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 26 - 61 - 6.\nAnswer: -n - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p - 23. Let g(n) = -3*n - 40. Let s(r) = 2*r + 26. Let a(b) = 5*g(b) + 8*s(b). Let q = 13 + -7. Determine q*f(c) + 17*a(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 15 = 3*s, 5*q + 9 = 3*s - 6. Solve q*t + 15 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 98\/198 - 4\/18 - 103464\/(-84304). Which is the nearest to 0.15? (a) -2\/5 (b) -15 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 790, 1576, 2336, 3052, 3706, 4280, 4756?\nAnswer: 5116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 44?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 5 - (-2 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p**3 + 1\/15*p**5 + 14*p**2 - 1\/20*p**6 + 0 + 3*p + 0*p**4. What is the third derivative of x(n) wrt n?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -542?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*q + 5*k, 2 = k + k. Let n be (-1)\/((-8)\/(-12) - 1). Suppose -w + n - 1 = 0. Put w, 3, q in ascending order.\nAnswer: q, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5238782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 15, d: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Solve 5*v = j*r + 40, -4*r + v + 17 - 42 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3003 - 3.3003. Which is the closest to -3\/7? (a) l (b) -0.1 (c) -6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -3. Let c = 3.175 + f. Round c to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dee when three letters picked without replacement from deed?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - o - 1 + 0*o - 6.\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 19*b**2. Let s(i) = 10*i - 8 + 5*i - 19*i + 27*i + 29*i. Determine k(s(m)).\nAnswer: 51376*m**2 - 15808*m + 1216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:42 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 minus 33079486?\nAnswer: -33079483.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 201155898 times -3?\nAnswer: -603467694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -300679, -601516, -902353, -1203190, -1504027?\n\"Answer: -300837*a + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 52*v + 153. Let k(h) = -52*h - 103. Let b(s) = -2*f(s) - 3*k(s). Let i(w) = -17*w - 1. Give -3*b(m) - 8*i(m).\nAnswer: -20*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7486837091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 equal to -278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 27409 = -3*s + 2109, -39357 = -4*s - 3*a. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4428 by -3.\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-18)*o\/((o\/o**(1\/9))\/o) assuming o is positive.\nAnswer: o**(-152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-26)\/39)\/(((-40)\/(-3))\/4). Which is the nearest to 2? (a) -1\/4 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*a + 267*b - 263*b, 5*b = -2*a + 15. Let -2\/11*l**a - 12\/11*l**4 + 0 - 12\/11*l**2 - 2*l**3 + 0*l = 0. What is l?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16553 - -1.1.\nAnswer: -16551.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5661 + -3600. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2756*a + 5433. Give d(-2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 63, 127*y = 130*y - 14*z - 894 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-3\/4) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5.6 (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 111*b**2 - 103*b + 1020. Give p(-112).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-3)\/(-2) + -9. Let q(x) be the third derivative of x**5\/60 + 5*x**4\/24 + 64*x**2. Determine q(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/19 in -13, 932, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**3 + j**2 + 94*j + 191. What is z(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1475341180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1987.59 + 2044. Let w = -56.767 - 1.233. Let u = z + w. Round u to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {a: 1, h: 11, i: 6}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (1 - -3) + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*c - 388*c + 38*c + 83*c + 50*c + 63*c.\nAnswer: -106*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6*q = -3*q + 360, -5*q - 281 = -3*y. Let c = y - -65. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -253406646.6 to the nearest one hundred thousand.\nAnswer: -253400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -351 (b) -97 (c) -5\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x + 30 = 0. Let n be (-36999996)\/x + (-2)\/5. What is n rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 28 (b) -0.3 (c) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 o when four letters picked without replacement from obbooooboooooobooob.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*g + 2955 = -425*g + 10947 for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4*y + 20*n**4 + 2*n**2*y + 264*n*y + y wrt n?\nAnswer: -12*n**2*y + 240*n**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57406 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.1 + 19. Let j = y + -1. Let k = j - -0.1. Is -2 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 611, 809, 1025, 1265, 1535?\nAnswer: 1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-63)\/2)\/(-7)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(1 - 2 + 0)*(-8 + 4 - 4)*(-8*w + w - 7*w).\nAnswer: 224*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 903 = 15*b + 753. Solve b*n - 7 + 7 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 5*z, -5*s - 23*z = -26*z - 50 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, 2\/5, -2, -0.2, 4\/41?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -29)*1\/1. Let y be 7 - 6 - (0 - -59)*-1. Let j = y + k. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 14. Let t be i(-6). Solve h = -2*w + 8, -h + 2*w = -2*w + t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14\/109 + -53\/436. Which is the closest to -4? (a) 1\/4 (b) l (c) -4\/3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-1))\/(6\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 15*p + 81. Calculate the least common multiple of 118 and g(-15).\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*w - 3401 + 3401)*(1 - 1 + 1)*(3*w - 6*w + 5 - 3 + (-2*w - 3*w - w)*(-1 - 1 + 4)).\nAnswer: 1365*w**2 - 182*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1 = -3. Which is bigger: p or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -1645401?\nAnswer: 164540.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4960\/421 equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a hour in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2030032 (base 4) to base 6\nAnswer: -105314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4155*s**3 - 4467*s.\nAnswer: -24930*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 + 2*u**2 + 0*u**2 + 0*u**2. Let f(k) = -9*k**2. Determine f(d(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1029) + (3*sqrt(1029)*3 + sqrt(1029) - sqrt(1029)))\/(sqrt(28)*4 + 2*sqrt(7)*1)*-4)**2 + -3.\nAnswer: 2349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 42 = 3*s - 8*s, -7*s + 10*t - 18 = 5*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -422 + 429. Let t(s) = 2*s**3 + 5*s**2 + 20*s - 21. What is the tens digit of t(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2058 - -2323. What is the remainder when h is divided by 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/(-3)*18. Suppose 3*h - g = -3. Suppose 2*r - 3*r = -h. Solve -r*o = -6*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.3 + 31.28. Let f = g - -0.02. Let d(j) = -j**3 - 9*j**2 - 19*j - 4. Let v be d(-6). Which is the nearest to -2\/5? (a) v (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322244441 (base 5) in base 6?\nAnswer: -45200442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4660418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 49?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.5, -3.97, -3\/2, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/8, -2713\/4, -2\/5, -1\/3, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 15. Let c be (-2)\/i - 216\/(-21). Let x(l) = l**2 + 5*l + 6. Let n be x(-4). Solve 13 = -2*s + n*w + 3*w, -4*w + c = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*a - 21, -3*a - 99 = 44*f - 47*f. Let w(x) = -2*x - 10. Let t be w(-10). Solve f = -t*n + n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 10*j + 8. Let f be m(12). What is the units digit of (f\/3)\/((-10)\/45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1291.\nAnswer: -5164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.89 - 0.11. Let z = 119\/5 + -392\/15. Let w = 2 + z. What is the smallest value in o, 3, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 + 10 = 5*f, -y + 8 = -3*f. Let l(w) be the second derivative of -4\/3*w**3 + y*w**2 + 1\/12*w**4 + w + 0. What is j in l(j) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 103*i - 3480 = 0. Let b(j) = -j**2 - 19*j + 8. What is the remainder when b(-11) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 7*q**3 + 3*q**4 + 14*q**3 + 2 - 8*q**3 - q**2 in the form j*q**4 + x + s*q + z*q**3 + u*q**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -13. Let b = q - -8. Solve -4*a + 6 + 6 = b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 4*((-2 + sqrt(32) + sqrt(32))*1 - sqrt(32)))*-3*3*-4)**2.\nAnswer: -456192*sqrt(2) + 820368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 938532.5ug?\nAnswer: 938.5325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**3 - 6700 - n + 0*n**3 - 3*n**3. Let v(i) = i**3 - 7*i**2 + 7*i - 6. Let q be v(6). Let s be k(q). What is s rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -22*h + 9089. Let c(j) = -3*j + 3. What is c(a(p))?\nAnswer: 66*p - 27264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-108)\/24)\/(-3)*65\/15.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 4*w + 28, -11*q + 40 = -15*q + 2*w for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 4, 1\/5, -165, 0, -2\/5, 58.\nAnswer: -165, -2\/5, 0, 1\/5, 4, 58, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/6, 27.33696?\nAnswer: 27.33696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -1586258?\nAnswer: -1586258.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*1*(15 + -4). Let o = 15 - b. Suppose 0 = 3*g + o - 85. Solve 5*x + s = -0*x - g, -3*s + 9 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/y)**14*(y\/(y\/(y**(1\/2)*y)))**(-2\/33) assuming y is positive.\nAnswer: y**(615\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -9. Suppose -o*y = -4*z - 389, y - 2*z - 156 = -y. Suppose -9*n + 103 + y = 0. Calculate the remainder when n is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 50510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 - ((4 - 2) + -8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/11, -4, 5, -1\/5, -5 in descending order.\nAnswer: 5, -1\/5, -12\/11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 24*q**2 + 403 - 401.\nAnswer: 25*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -78255 and -78256 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*q + 33*q - 161*q + 30*q + 68*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from hhifhiiifhhiihhfdh?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1. Let x(l) = -2 - 2 - l - 3 + 6. Let d be 10\/4*32\/(-40). Let b(j) = d*q(j) - 2*x(j). Let f(w) = -3*w**2. Give f(b(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 808 - 805. Solve 0 = -2*k + f - 3, 5*k + 27 = -i*f - f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317 - 68 = 77*c + 5*p, 4*p + 1 = -3*c - 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15*(182\/273)\/((-6)\/15)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*sqrt(112))\/sqrt(4) - (2*-2*sqrt(28) + (-1*sqrt(140))\/sqrt(5))**2.\nAnswer: -700 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v - 2. Let k(z) = z. Let y(i) = h(i) - 6*k(i). Let s be y(-5). What is the highest common factor of s and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8)\/((-14)\/56*6\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 935 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 289*j + 9. Let y be f(0). Solve -6*k = y*k + 45 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.258234.\nAnswer: -1.29117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*sqrt(108) - (4 + 2*1*sqrt(3)).\nAnswer: -4 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/10 + 72\/15. Let p(k) = -k**3 + 8*k**2 + 2*k - 9. Suppose 107 - 283 = -22*j. Let z be p(j). Solve -2*w - z = -3*t, -x*t + 7 = -3*w - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7015 = -1227\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 53. Suppose 16*b - 18*b + 204 = r. What is the third derivative of -32*o**6 + b*o**2 - o**3 - 121*o**2 + o**3 wrt o?\nAnswer: -3840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b - p = -10, -2*b - 3*p - 9 = 0. Solve b*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 160*f + 36600 = 0. Solve f*p = 243*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - 0.36. Let z be 1*3 + (-5040)\/(-133). Let k = 41 - z. Which is the third smallest value? (a) k (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20069\/11 - -1826. Calculate the common denominator of 30\/71 and j.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 0.061172 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.27 + -7.77. Let h = -91 + 52. Let i = h - -41. What is the closest to i in 1\/2, 4, d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1 (c) 3 (d) -1.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 > 130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o + 72 = 3*u, 0 = 5*o. What is the first derivative of -166 + 70 - u*d**3 + 83 wrt d?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1150.8 + 0.123?\nAnswer: -1150.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1196 + 904 - 1744 - 1010)*(0*l**2 + 4*l**2 - 2*l**2).\nAnswer: -6092*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4232151 - 5?\nAnswer: -4232200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*i - 40, 3*i - 8 = -p - 0. Let x(y) = -6*y**2 - 2. Let a be 0\/(1 - (1 + -2)). Let d(r) = r - r**2 - r - 1 + a. Calculate p*d(w) + x(w).\nAnswer: -2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 8. Let x be r(3). Suppose 5*p - 575 = -5*l, 673 = x*l + 4*p + 103. Suppose -12 = -2*s + l. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -9. Let r(b) = 2*b**3 - 2*b**2 - b - 1. What is the remainder when r(3) is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -x + 5*t, 25*t - 12*t - 11 = -18*x + 12*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00173503045 rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 2*b + 1. Let s be h(2). Suppose s*k - 7 - 3 = 0. Let i(g) = 2*g - 2. Let n be i(k). Solve 0 = -n*d - 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*m - 1088 - 621, 4*u - 581 = -m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50122 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -17.9. Let w = b - -1. Is -2 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -528302.\nAnswer: 3\/528302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 342333134 + -4040?\nAnswer: 342324044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nthrptpi. Give prob of sequence pt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 400348747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5548 times -1\nAnswer: -5548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5811 - -56462. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46c (base 15) to base 14.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 7. Let d be ((-8)\/(-14) - 0)*w. Suppose 4*q - 339980 = -5*y + y, -d*y = 20. Round q to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {k: 9, v: 10}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -176, 3, 1\/8, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-4)*86\/129. Suppose 0 = -z*b - 25, -3*s - 6*b = -b - 23396. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3644399 - 20055605 = -3*f, 5*c = -5*f + 39499990. What is f rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 90177768 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4743*d = 4693*d - 218 - 282 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62\/3 + (-3)\/(-9). Let u = -9 + y. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5096 and 3544?\nAnswer: 2257528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*y = -16, 0 = -2*g + 5*y - y - 22. Which is the nearest to 174? (a) 0 (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 29424*h**2 + 88279*h**2 - 29432*h**2 - 2*h - 29426*h**2. Let o be (1\/(-2))\/((-2)\/(-4)). Let g be s(o). Solve -q + g*q = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2260\/6753 - 3\/2251. Let y(f) be the second derivative of 0*f**2 + 3*f - v*f**3 + 0. Determine y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1407*a*f**2*s**2 + 2*a*f**2 - a*s + 3*f**2*s**2 - 2*f**2*s + 36*f*s wrt s?\nAnswer: 2814*a*f**2 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 a when four letters picked without replacement from aaqaaaqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.58484 millilitres to litres.\nAnswer: 0.02958484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/4 + 99*h\/2 - 3267\/4.\nAnswer: -3*(h - 33)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = 0, d = 4*z - 11 - 11. Let t be -1*(-2 - d) + -2. Calculate the lowest common multiple of (0 + 4)\/(t\/(-10)) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15129599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.8 - 20. Which is bigger: -0.5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 445888 and 3024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) - (-69)\/15. Suppose 0 = -4*m + o + 14 + p, -m = 2*o + 2. Let q(y) = 3*y + 1 - 2*y + 4*y - y**2. Calculate q(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/29847 and 58\/69.\nAnswer: 686481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(0*h - h + 3*h) - 2*h - 5*h + 6*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 9*l - 4. Let r be o(-11). Let t = 27 + -31. What is the tens digit of t\/r + 4235\/63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 5*w - 10. Let d be n(-7). What is the second derivative of 0*o + 4*o**2 - 5*o**2 + 11*o**2 - d*o wrt o?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123 - -125. Let a(l) = 193*l + 196*l + 4 - n*l**2 + l**2 - 388*l. Give a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + 10) - -6 - -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25352 and 3262?\nAnswer: -82698224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 57664 = 9*y. What are the prime factors of y?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*q - 4*a, 0 = -3*q + 4*q + 3*a - 2. Calculate the remainder when q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 29*l + 548. Let z be p(-19). Let o(w) = 29*w**3 - 7*w. Let j(i) = -15*i**3 + 3*i. Determine z*o(x) - 7*j(x).\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4230 + -4?\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -310 divided by 62\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111 - -1100?\nAnswer: 10101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.4, -0.11, 2\/7.\nAnswer: -1\/3, -0.11, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5.3. Sort i, 0.5, 5.\nAnswer: i, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 0.087582?\nAnswer: -2.912418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*f**3 + 6*f**3 + f**3)*(f**2 + 59 - 59).\nAnswer: -14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -899*s**2*t**3 - 2*s**2*t**2 - 9*s**2 + 26*t**2 wrt t.\nAnswer: -5394*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 413\/5, 4\/3, 1\/2 in ascending order.\nAnswer: 1\/2, 4\/3, 413\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*v - 3*s, 15 - 30 = 3*s. Find the third derivative of -81*y**2 - v*y**2 + 38*y**3 - 44*y**2 wrt y.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -28. Let l be (9\/7 - -2) + 8\/i. Solve 2*z - 10 = -l*t, 5*t - 3 - 17 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8 = -5*u. Let n be -2*(-1)\/u*2. Is 11\/(-4 + 3 + n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 690\/1417 + 1210155\/2834. Suppose -675 + 3\/2*w**3 + b*w - 48*w**2 = 0. Calculate w.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(432) + 0) + (sqrt(432) + sqrt(432) + 2 + 1*sqrt(432) - sqrt(432)))**2.\nAnswer: 144*sqrt(3) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 1506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*o - 7. What is the remainder when 31 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1331) - sqrt(1331)*-2) + sqrt(11)*1 + 1 + 1.\nAnswer: -164*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 22 - 104*l - 52 + 103*l.\nAnswer: -l - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 + r**2 - 3*r - 2. Let y be z(-1). Solve 0 = -b + 1, 1 = 4*v + 5*b - y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/13))**(1\/10) assuming n is positive.\nAnswer: n**(3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49 - 0.08.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7772853 times 5?\nAnswer: -3.8864265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, 0, -6, -21, -2.6, 3, 17?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(612) + 1)*-6 + 2.\nAnswer: -36*sqrt(17) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 6:05 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 43646, -1\/3, 5, 3?\nAnswer: 43646","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 + 23*c - 3. Let d be r(8). Let o = -47 - d. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 + o**2 + 0*o**2)*(0*o + 2*o - o) - 2*o**2 - o**3 + 2*o**2 to q*o + y*o**3 + k + u*o**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -2 (c) -7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 610 - 3?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -20220020232?\nAnswer: 20220020223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 230838*i + 177549939.\nAnswer: 3*(i + 777)*(i + 76169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nerb when four letters picked without replacement from jbqeenr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1714031509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312406495 divided by 262481299?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 25*o**2 - 22*o + 172. Calculate the remainder when 201 is divided by t(-26).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - y = 4*y - 3, 3*f - y = -9. Calculate the remainder when (-249)\/(-6) - f\/(-6) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from {p: 2, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (58 - (-28 + 60))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 853433 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 140\/9 (b) -694 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 58. Let m = h + 14. What is the fourth biggest value in 0.3, 0.1, -23\/4, m?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8730\/776)\/(5\/6)*(-594)\/81?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -0*b + 3*b - d, -3*b - 5*d = 77. Let i = -5 - b. What is the lowest common multiple of 10 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3028 divide 45053576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*z - 1113 - 1227 = -30*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9 - 11 = 0. Factor -40*v**2 - 126 + 126 + 35*v + t*v**3.\nAnswer: 5*v*(v - 7)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2 - 9382*n - 1114836 = 0. Calculate n.\nAnswer: -4569, -122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/22 + (-84)\/(-22). Suppose -5*p - 4*n = -n - 156, -s*n = 5*p - 158. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 3. Let l(x) = x**2 + 7*x + 8. Let k be l(-6). Suppose -2*o = -7*o - i*n + 26, 24 = k*o + 5*n. Solve -2 + 24 = 4*q + b, -o*q = -5*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eouu when four letters picked without replacement from oooooeuuooooooe?\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6569444 years?\nAnswer: 7.8833328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + sqrt(192) + (sqrt(192) - (sqrt(192)*1 - sqrt(192))))\/sqrt(12))\/sqrt(8).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**5 - 302310*w**4 - 3*w**3 + 5766159*w**2 + 2 wrt w.\nAnswer: 120*w**2 - 7255440*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(5\/160). Solve -48*a**2 - 1437*a**3 - d*a + 698*a**3 - 24*a**4 + 687*a**3 - 4*a**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4117*z - 1166*z - 61971 = 0 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58 and 3?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869898628 to the power of 1\/3, to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2 + 553*v. Let h(u) = -4*u**2 + 278*u. Calculate 5*h(b) - 3*x(b).\nAnswer: -5*b**2 - 269*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -0.24, -1.88, 0, 3, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 + -5 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1\/(-1)*376\/188?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/242073 and -9\/53794.\nAnswer: 484146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 3, m: 5, a: 3, o: 4, l: 1}. Give prob of sequence cmo.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -42. Suppose c = 12*j - 14*j + 252. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5637281759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000099946488 rounded to 6 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f - 14*f - 14*f + 47*f - 10*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 1, m: 12}. Give prob of picking 1 q and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 69\/5, -1\/3, -2\/13 in decreasing order.\nAnswer: 69\/5, 5, -2\/13, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 68 - 80 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 20 (b) -0.2 (c) -0.1 (d) -4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -236*b**5\/5 - 5*b**4\/4 + 2007*b + 2269. Differentiate o(d) wrt d.\nAnswer: -944*d**3 - 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87774075 divided by -3\nAnswer: -29258025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13124 minus -38786?\nAnswer: 38786.13124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4\/9 (c) -5\/6 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ninjnihnhjmiin.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {y: 4, j: 8, p: 8}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*z - 2*z = -1132, 5*k = -z + 5678. Let v = 374 + 1254. Let u = v - k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.8 - 3. Let w = -14.018 - -14. Let h = w - 0.082. What is the closest to 3 in c, -2\/13, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczzczcz. Give prob of picking 3 c.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*c + c + 0 to the form j + d*c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5484140011 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1916151.\nAnswer: 3, 638717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 608 + -607.9. Let g = -2.2 + 0.2. What is the nearest to h in -3, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(275) + -4 + sqrt(275)))**2.\nAnswer: -80*sqrt(11) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + q - 16 = 0. Let h = q - -8. Suppose -14 = -5*y + 3*s, -4*y + 5*s = 2 - 8. Solve h = -y*n + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 2*h**2 + 0*h + 0 + 1\/2*h**3 + 1\/24*h**4. Does 5 divide q(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -266195\/16 - -16632. Let g = -880 - -7093\/8. Find the common denominator of u and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -94*a + 21. Let l(u) = -2*u - 1. Let j(z) = 2*l(z) + s(z). Differentiate j(p) with respect to p.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o - 20. Suppose p + 4*p - 15 = 0, 5*p - 72 = 3*u. Is 10 a factor of s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -39)\/((3 - 0) + -1). Let n be (-1 - -1)\/(-20 + x). Let g(d) = -d**3 + d + 15. Calculate g(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453627712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n = 2*x + 102, -225*n + x - 15 = -229*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + o = -12, -3*o + 25 + 9 = 5*v. Solve 0 = v*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9a - 2a1?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/9 or -2\/33?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32, -2\/5, 0.0778, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8056 - 8036. Solve 0 = -w - 4*o + 7*o + 4, -x = -5*w + 3*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/61380 and 145\/129762.\nAnswer: 442488420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18591046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.5547 - -20.5599. Let w = z + -16. What is w rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124 + -34. Suppose -2*k = -c - 4*k + 23, 3*c - k - i = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -11 + (8 - (-4 + 13 + -12)) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1704243279*t - 1 + 1704242608*t.\nAnswer: -671*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 1)*(l + l - l + (0 + 2 + 3)*(2*l - 2*l - 4*l)) as d + f*l and give f.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + d - 4*d - 27, -5*d = 20. Let s be 2*(-2 - 376\/(-16)). Suppose q*u = s + 68. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(447*q + 107*q**3 - 447*q).\nAnswer: 214*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20556, -20554, -20552, -20550, -20548, -20546?\nAnswer: -20544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-98224)\/(-3080) + -32)\/((-2)\/(-5))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3 - 2 + 0 - s. Let r(k) = -2*k**3 + 10*k - 10. Let x = -425 - -978. Let o = x + -554. Determine o*r(h) - 10*b(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(150) + sqrt(150)*-1)*-6)\/sqrt(405))\/(sqrt(810) - (sqrt(810) + (1*sqrt(810) - sqrt(810))*6) - sqrt(810) - -5*sqrt(810)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**6 - 36*r**4 - 17*r**3 + 14865*r**2 + 3?\nAnswer: 240*r**3 - 864*r - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**3\/3 - 3*b**2 - 3*b. Let r(z) = 5 + 2 + z - 2. Let k(u) = -3*h(u) - 4*r(u). What is the first derivative of k(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1790 = 3*a - 4*y - 1113, 5*y + 2908 = 3*a. Let x = -181 + a. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c + 8, -3*h - 4*c = -163. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2262206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62.4 - 79.38. Let z = -9.1 - m. Let b = z - 8. What is b rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:23 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62354216, -124708435, -187062654, -249416873, -311771092, -374125311?\n\"Answer: -62354219*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 17*x + 34. Let d be k(15). What is the second derivative of -11*m**5 - d*m + 0*m - m**5 + 3*m**5 wrt m?\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 26*l + 234 = 0. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*r - 300. Let w = r + -52. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3358 (base 10) to base 11\nAnswer: -2583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 10*a**2 + 4. Let i be c(-10). Let b be 85\/15 - i\/6. Let p(v) = -v**3 + 6*v**2 - 4*v + 2. What is the remainder when 13 is divided by p(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 327, 451, 637, 891?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*o + 45 = 6*k, -4*k - 5 = -5*o. Suppose 0*v + 40 = k*v. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 8:38 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -3*d, -3*d + 5*d = -5*t - 24 - 37 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/((-375)\/40)*(-5980)\/(-644))\/((-2)\/7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 7. Let k = 1 + n. Suppose 2*w - 3*o = 7, -5*w + 3*o = -94 + 99. What is the third biggest value in w, -2\/3, -2\/9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2\/3 (c) -2 (d) -32.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)*u**(-2\/9)\/u*(u**0*u)**(7\/6))**(-2\/23) assuming u is positive.\nAnswer: u**(-29\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1216) - (sqrt(1216)*-1*3)**2) + -2 + 6*(sqrt(1216) + (sqrt(1216) - sqrt(1216)*2))*4).\nAnswer: -65676 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (47 - 84) + 55 - 23\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 9*o**2 - 7*o + 20. Let s be k(8). Suppose 0 = -x - q + 10, -5*x = 3*q - 1 - 45. Calculate the highest common factor of x and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -31. Suppose -2*x = -3*x - 3*n + 20, 4*x - b = -2*n. Suppose 8 = 2*g - 3*o, 6*g - 5*o = 2*g + 12. Sort x, g, 3.\nAnswer: g, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-395)\/237*(-198)\/15\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 16406549 and 16406516 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 - 3*t)*(2*t + 10944*t**2 - 245*t**4 - 10944*t**2).\nAnswer: 735*t**5 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(3\/7))*v)\/v**(-2\/13)*v\/(v**2\/v)*v**(-14) assuming v is positive.\nAnswer: v**(-1117\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2*n**3 + 3*a**2*n**2 + 262*a**2 - a*n**3 + 2*a - 17359*n**4 - 2*n**3 wrt n?\nAnswer: -12*a**2 - 6*a - 416616*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7455*l + 7398*l - 22317*l + 7415*l.\nAnswer: -49*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*n - 2 - 23, -4*n - 60 = -3*w. Let s = w + -8. What is the greatest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 1 - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u**3 + 2*u**2 - 2*u + 5. Let b(l) = -8*l**3 - 6 + 9*l - 2*l - l - 3*l - 3*l**2. Let k(t) = 2*b(t) + 3*m(t). What is the derivative of k(a) wrt a?\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - -3*sqrt(136))\/sqrt(8)*-1 - (sqrt(272) + (sqrt(272) - (1*((4*sqrt(272))**2 - sqrt(272)) + sqrt(272))) + sqrt(272)).\nAnswer: -16*sqrt(17) + 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -214 - -307. What are the prime factors of j?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**5\/7 + 5715*o**4 + 534304256*o**3\/7 + 341940243816*o**2 + 21249936129744*o + 41132721826224 = 0.\nAnswer: -13314, -61, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 52*g**2 + 34*g. Let a(t) = -3*t**2 - 2*t. Let z(o) = 68*a(o) + 4*v(o). Let d(m) = -814*m. Determine z(d(r)).\nAnswer: 2650384*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 760343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1\/203658604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 71*w + 411. Let y be z(7). What is the second smallest value in 0.1, 1, 0.02, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 22. Let r be b(13). Let f(i) = 91*i - 48*i + 7 - r. Is f(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, 2, -1\/6, 3, 17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**4 - 2729*f**3 - 912*f**2 + 1820*f = 0.\nAnswer: -1, 0, 2\/3, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 752\/235*5\/(-156)\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from gadgydddydsg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s - 2*s. Suppose s*h + 5*a - 67 = 0, -3*a = h + h - 45. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8588.\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/(-13) - 153\/(-34)*2)*81\/1053?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3 - 3*o**3 - 9 + 4*o**3 - 259*o**2 + 265*o**2 + 3*o. Let p be u(-3). Suppose -17*t = -14*t - 15. Solve g + 2 = -4*w + p, -t = -3*w - 2*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 4*f - 3. Let k be a(1). Suppose -k*x - 4*i = -54, -111 = -3*x - 11*i + 15*i. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000101000 + -10111?\nAnswer: 1011000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, 4, -8 in ascending order.\nAnswer: -11, -8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 2449?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 561 - 515. Solve -c + 10 = 9*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/((-66)\/22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1749116 and 4?\nAnswer: 1749116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 11:38 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 37*t + 68 = 6*t. Let d(f) be the third derivative of 0*f + 0*f**3 + 0 + 1\/12*f**4 + 1\/120*f**6 - 23*f**t + 1\/20*f**5. Find q such that d(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 92797\/15230?\nAnswer: 92797\/15230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)\/a*a*a\/(a**(-6)\/a)*a**(-3)*a**(-2\/7)\/a*a assuming a is positive.\nAnswer: a**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -1)*5\/10. Let z(a) = a + 12. Let n be (-2)\/7 + (-99)\/21. Let i be z(n). Solve -t = 5*o + t - i, t - d = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5541 is divided by 554.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, -1\/5, -1.\nAnswer: -1, -1\/5, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 2676*a**3 - 870714*a**2 + 16328952*a - 74468808.\nAnswer: -2*(a - 9)**2*(a + 678)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s - 4*o + 10, -5*s + 2*o = -10. What is the smallest common multiple of 11 and -1*(1 + (-6)\/s)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from njmn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**4 + v**4 - 3*v**4 + (2*v**2 + v**2 + 2*v**2)*(0 + 0 + v**2) + 0*v**2 + 0*v**2 + 2*v**4)*(6 - 2 - 5 + v).\nAnswer: 5*v**5 - 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 3:22 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 812.342 to the nearest integer.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*h + 4, -10 = 25*v - 29*v + h. Solve 0 = v*n + 6*n - 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4))**0*(n\/((n*n\/(n\/((n*n**(-14)*n*n)\/n)))\/n*n))\/(n*n\/n**(-1\/2)) assuming n is positive.\nAnswer: n**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -766. Calculate the highest common divisor of 424 and l.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r + 40. Let c be u(-18). Suppose -3*b = 9, -h - 9 = -0*h + c*b. Calculate the remainder when 27 is divided by (-1 + 4\/h)*(0 - -45).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**4\/8 + 25*z**2. Let u(p) = p**2. Give u(d(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.3 (b) 0.5 (c) 2\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 0 + 1\/6*c**3 + 0*c**2 - 6*c. Let b(p) = -11*p**2. Give i(b(r)).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 2. Let j be v(-1). Let b be 0 + ((-2)\/j - -1). Let k(m) = -3*m**2 + 3*m. Let g(l) = -3*l**2 + 2*l. Calculate b*g(u) - 2*k(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aararafarrfaafar. Give prob of picking 1 r, 2 f, and 1 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 3*u - 4*u + 6*u - 13*u**3.\nAnswer: -13*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14.40998719 and 42?\nAnswer: 56.40998719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 2*n**2 + n**2 + ((3 + 16 - 6)*(0*n + 0*n + 3*n) + (2 - 4 + 10)*(-4*n + 5*n - 2*n))*(2*n - 3*n + 2*n) as i*n**2 + p + f*n and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**11)**33\/(a\/a**(1\/24)*(a*a**(-4\/9))\/a))**(1\/29) assuming a is positive.\nAnswer: a**(26099\/2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/30055040 and 39\/93922.\nAnswer: 30055040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 - 2*n**4 + 3*n**4)*(902 + 27 - 49) + (2*n - n + 0*n)*(-3*n**3 + 3*n**3 - 6*n**3).\nAnswer: 1754*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c. Suppose 5*q + 2*p - 6 = 3*q, -3*q + 5 = -p. Let v(y) = 5*y**q - 2*y**2 - 2*y**2. What is w(v(d))?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.934 + 0.066. Let l = o - 16.99982. Round l to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/20)*a**15*a**14*a**7)**44 assuming a is positive.\nAnswer: a**(7909\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -111100100111111011?\nAnswer: 111100100111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 3*p**2 - 4*p**2)*(2 + 0*p**3 + 5 - 4*p**3).\nAnswer: 8*p**5 - 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**9\/60480 + j**8\/4032 - j**7\/840 + j**6\/144 - j**5\/60 + 3*j**2. Let q(s) be the third derivative of k(s). Give q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3600, -6302, -9012, -11736, -14480, -17250?\nAnswer: -20052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**3 - 3108*v**2 + 3126*v**2 - 21*v**3)*(v + 4*v - 4*v) to h*v + t*v**2 + j*v**4 + k*v**3 + p and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402576011.\nAnswer: 277, 1453343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 13261*b**3 + 55957*b**3.\nAnswer: 69218*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2160422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*g - 149, -4*g + 0*g - 134 = 2*t. Let w = g - -242. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 100*m**3 - 2*m**2*n + 1863*n wrt m?\nAnswer: 300*m**2 - 4*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z + z. Let g be 1\/3 - z\/36. Suppose -5*q - 9 = -2*w - 40, -q - 5*w + 17 = 0. Is g bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 - 135 = -2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z + 11. Let s(o) = 2*o + 10. Let c(n) = -2*n - 5. Let u(d) = 6*c(d) + 2*s(d). Determine -6*r(k) - 5*u(k).\nAnswer: -2*k - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 - (-2)\/3. Suppose -2*u + 7 = -3*j, 2*u + 2*j - 13 = -j. Let t = -70920 - -283681\/4. Which is the closest to l? (a) t (b) 1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/12493*-26*4\/(-6)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 12) to base 8.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/20053 + -6316703\/80212. Let y = z + 78. Which is bigger: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51981631 and 1326?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1007*r**4 + 45*r + 4.\nAnswer: -12084*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -27, -41, -53, -63, -71?\n\"Answer: b**2 - 19*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2466 and 900.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6\/2*(-234)\/9338706*251.\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 7:35 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*k + 3220, m + m - 4*k = -1288. Let l = -446 - m. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3826470 divided by -127549?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o**2 + 2*o + 2. Let g be l(-2). Suppose -g*f + 64 = -3*t - 33, -3*t - 9 = 0. Let z = f + -15. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 4 = -3*j. Suppose -j - 14 = -5*q. Factor -4\/5*l**q + 6\/5*l**4 - 4\/5*l**2 + 6\/5*l - 2\/5*l**5 - 2\/5.\nAnswer: -2*(l - 1)**4*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emm when three letters picked without replacement from {e: 5, m: 13}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/12 + 423*i - 5072\/3 = 0. Calculate i.\nAnswer: 4, 5072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 117\/(-48))*(-32)\/(-24). What is the nearest to 19 in -3, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + o + 1252 + 4577 = 0, 5*b - 5835 = -5*o. List the prime factors of b.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eye. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -204866\/3 + 426121097\/6240. Calculate the common denominator of -151\/1248 and a.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 - 3*v**2 + 6*v + 2. Does 9 divide w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -5*b**3\/6 + b**2 - 6*b. Let c(p) = 11*p - 4. Determine 3*c(q) + 7*m(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093.\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/18*(18\/5 - 3). What is the second biggest value in -0.2, -0.1, o, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 19*f + 218 = -807 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - r + 540 = 0. Suppose 0 = r*h - 55*h - 45. Suppose h*z - 560 = -20. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -566870, -566869, -566868, -566867, -566866?\n\"Answer: y - 566871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389198?\nAnswer: 2, 3, 231533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4, c: 14}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 14*u + 15. Let s be g(11). Let c = 50 - s. Let v(b) = b + b**c + b**2 - 3*b**2. Calculate v(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3774801793 + 4?\nAnswer: -3774801789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 + -81. Let s(r) = -7 - 12 - r + u. Give s(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*i - 6*i - 4, -2*k - 2*i = -16. Let o = k - 3. Let m = 15 - o. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z**(-8\/7)*z*z)*z)\/z**(-2\/23))\/(z*z\/(z\/(((z\/(z\/(z**(3\/4)\/z)))\/z)\/z*z)*z)*z\/z**(-2\/11)) assuming z is positive.\nAnswer: z**(23363\/7084)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2531 + 2534. Suppose -n + 4*a = n - 140, -2 = 2*a. Suppose -g*b = b - n. Solve 9*q - 4*q = t + 26, 0 = 3*q - 2*t - b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1389 + -1386. Solve a - z = -0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 1121984?\nAnswer: 12341824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {i: 2, s: 2, x: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 3414 = -3216. What is the common denominator of -58\/33 and 356\/u - (-26)\/65?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 944*a**2 - 946*a**2 + 0 + 0.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -4. Which is the nearest to 1? (a) -0.2 (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1782 and 24?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:42 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19288)\/(-14) + 8\/28. Suppose -5*x = p - t, 2*p - 8*x = -4*x + 2784. Suppose l - 5*l = -p. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 11) + (219 - 213) + (2 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 516231\/4305 + -96 + -24\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272077 is divided by 11727?\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r + r - r + (3 + 1 - 3)*(-4 + 2*r + 4) - 1 - 2*r + 1 - 2*r + 4 - 4 + (7*r - 3 + 3)*(-4 + 0 + 7).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1543349, 3086711, 4630073?\nAnswer: 6173435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 688519740?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*g - 536*g + 255*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/4, 1508, 3, -4556?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -157438*u**3 - 17*u**2 - 5334981?\nAnswer: -472314*u**2 - 34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 14388\/572 + (-4)\/26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*o**2 - 128*o + 5 + 130*o - 5 in the form i*o + s + p*o**2 and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyjfjbbjjfb. Give prob of sequence jb.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*g. What is the third derivative of 6*d**g - 7*d**3 + 4*d**2 + 3*d**3 wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332342 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: -60302736 divided by 15075684\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -202*a - 55. Let j(p) = -2*p - 34. Calculate j(c(b)).\nAnswer: 404*b + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 12. Give k(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*f. Suppose -5*j - 9 + 39 = 5*m, j + 2*m - 8 = 0. Suppose 0*t = j*t + 5*v - 45, 0 = 3*t + v - 20. What is the closest to 0 in f, t, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2437.1 + 0.0700451494.\nAnswer: -2437.0299548506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u + 3*u**2 - 2*u)*(-u**2 + 0*u**2 + 2*u**2).\nAnswer: u**4 - 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Let s(n) = 2*n**2 + 3*n - 2. Let i(r) = -2 + 5*r - r**2 + 5*r**2 + 1 - 2. Calculate z*i(b) - 5*s(b).\nAnswer: 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70000 divided by -50.\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 5*q**2 + 8*q + 5. Let v(f) = 9*f**2 + 3*f - 3. Let c be v(3). Let a = c - 51. Suppose -r - 5*r = a. Give d(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292967 to the power of 1\/2, to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345 + -4.\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.05 (b) 5 (c) 0 (d) -3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 5*u**2 + 8*u - 19. List the prime factors of j(-8).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c*n**6*u**2 - 3*c*n**2*u**2 + 103*c*n**2 - c*u + 22985*n**3 + 62*n**2*u**2 wrt n.\nAnswer: 360*c*n**3*u**2 + 137910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i + 20. Let b be y(0). Let g = b + -13. Let m = -2 + g. Solve -m*d + 8 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -556159916*l**2 - 386*l + 16178?\nAnswer: -1112319832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2311 + -4369. Round q to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 28. Suppose a - 6 + 0 = y, -r = -3*a - y. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/23, -13, 1\/100, 2\/29?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a\/(a**(2\/13)*a)*a**(3\/2)*a**(-6)\/a**(-4) assuming a is positive.\nAnswer: a**(35\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220213203 + 31?\nAnswer: -220213112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 - 1474*v - 11856 = 0. Calculate v.\nAnswer: -8, 1482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4123.337 rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.04, 2\/25, -2\/37, 0.1, 0, 3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -763 in -1\/7, 185, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*-2)**2 - (sqrt(70)*1)\/sqrt(10)) + -2.\nAnswer: -sqrt(7) + 2798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 7:42 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12 + 15 + -1 + 1. Suppose 4*u - 8 = k, 0 = z*k - 2*k. Which is the third smallest value? (a) 3 (b) -3 (c) u (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -5 - 2) + 3. Suppose 0*w = -i*w + 33. Suppose -7*c + w*c - 100 = 0. What is the greatest common divisor of c and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4517 is divided by 217?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j + 126 + 22 = 0. Differentiate 535*q**4 - 272*q**4 + 8 + 32*q - 264*q**j wrt q.\nAnswer: -4*q**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1585*f - 1376. Is s(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*m - 2. Suppose -3*j + u = 143, -3*j + 8*j - m*u + 237 = 0. Let b = 2870 - 11421\/4. Calculate the common denominator of b and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2. Let j(v) = -17151*v. What is k(j(w))?\nAnswer: -588313602*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + 31 - 38) + -21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 246.\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4427*p**2*z**3 + 1782*p**2 - 17*p*z**3 - 7373*p*z**2 - p*z - z**3 wrt p.\nAnswer: 8854*z**3 + 3564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7823*c - 25. Let u be r(-25). Suppose 0 = 9*p + p - u. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 20. Let a be i(15). Suppose -4*s = k - 211, a*s - 2*s = 5*k + 141. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*l - 0*l + 358, 3*l + 5*t - 537 = 0. Suppose 0 = 9*u - 1223 + l. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2. Let z(x) be the third derivative of 11*x**4\/6 - 37*x**3\/3 + 2505*x**2 + x. Give b(z(u)).\nAnswer: 5808*u**2 - 19536*u + 16428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 48 (b) 4\/7 (c) 0.5 (d) -14\/19 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 1*sqrt(275) + 5 - sqrt(275)) + sqrt(275) + -3 + -3.\nAnswer: -1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2)\/(((-6)\/(-18))\/(425\/510))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z + z + 52*z**3 - 12*z**3 - 18*z**3 - 21*z**3 - 30*z**2 as i*z**2 + h*z + o*z**3 + c and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhshhshps. Give prob of picking 4 h.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.5 - -6. Let y = 0.6 - o. Which is the nearest to 0? (a) -0.9 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0*z**2 - 12*z - 3\/2*z**4 + 0 + 2\/3*z**3. Factor x(o).\nAnswer: -2*o*(9*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16751856 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -7*z + 129. Factor 159*j**2 + z - 3*j**3 - 36*j - 141*j**2 + 4.\nAnswer: -3*(j - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + s. Let z(q) = 2*q**2. What is z(i(v))?\nAnswer: 18*v**4 - 12*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.320354 - -80.245046. Let w = b - 80.5. What is w rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3437638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6779 divided by 2\nAnswer: -6779\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49571\/5 + 9914. What is the third biggest value in 0.2, d, 91?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.33856126 - -1.87\nAnswer: 1.53143874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/12 and (42\/4)\/((-4 - -11) + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -321 + 315. What is the biggest value in -2\/7, -4\/3, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-12)\/45))\/((-549)\/732)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 12. Calculate q(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5660*z - 11361*z + 2*z**3 + 5701*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75843643517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 954.09 + -954. Which is the third smallest value? (a) 5 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let j(v) = -2*v + 308 + 2*v - 310 + 40*v**2 + 53*v**2. Calculate b(j(y)).\nAnswer: 93*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**3 + 2*g**2 - g + 1. Let y(q) = -q**2. Suppose i = -31*i + 64. Give i*y(o) - j(o).\nAnswer: o**2 - 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52747320 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12507071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*q - 0*q + 11, 12 = 4*q. Suppose -5*g + 2 + 18 = 0. Let b be (2\/g)\/(462\/84). Is b less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = 3*w, z + 2*w = -z + 14. Suppose -3*i - 4*b + 2*b = 67, i - z*b = -33. Suppose 48 = -10*g + 8*g. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -0 - 21. Solve 0 = -x - 0*x - m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0, -99?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 41*l**2 + l + 1. Calculate the remainder when z(-1) is divided by 15 - 3\/((-12)\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + z - 1. Let x be a(1). Let f be 2 + x*(2 - 1). Solve -3*n - n + 8 = f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 - 73*k**2 + 66*k**2 + 95 + 22*k as p + t*k + w*k**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 231*g + 13064*g - 2 - 639*g + 2372*g.\nAnswer: 14566*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = 0, 3*n - 4057 = 100*q - 99*q. What is the remainder when n is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3\/4)\/x)\/x)\/x**(1\/3))\/(x**(-33)\/x**(2\/55)) assuming x is positive.\nAnswer: x**(19769\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 387397395 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-2))\/((-2)\/(-4)) - (-200 + 195).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39402 divided by -199.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 3, 1, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159 - 68. Let r be 4\/(2\/42*-1). Let n be 46\/r - 26\/l. Which is the closest to 1? (a) 5 (b) -6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -160734, -321469, -482204, -642939?\n\"Answer: -160735*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uadu when four letters picked without replacement from {u: 12, d: 5, a: 1}.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g**2 - 3*g - 27. Calculate the remainder when j(-6) is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6 at least as big as 518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -24494 (c) -2\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 12:36 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56477.\nAnswer: 56477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 12) to base 16.\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.38 - 2191595\nAnswer: -2191595.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, t: 4}. Give prob of picking 3 t and 1 j.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10328744*l**2 + 11*l**3 + 24*l**3 + 10328790*l**2 - 7*l**3 + 14137 wrt l.\nAnswer: 84*l**2 + 92*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10. Suppose -2*w - 2*q + 6 = 0, w + 2 = -5*q + z. Suppose -w*f + 3*p + 10 = -11, 2*p = -2*f + 26. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2666500 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1252599 and 2151?\nAnswer: 3757797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, -40, 4, -2, -312 in decreasing order.\nAnswer: 92, 4, -2, -40, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 23*a - 19*a + 121851 = 0, -5*a - 30 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10673984.962 + 9.5\nAnswer: -10673975.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z - 26. Solve z = -4*n + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 510 + -488949.8067\nAnswer: -488439.8067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10391809 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-84)\/(-3) + 2. Let k = 145 + -135. Find the third derivative of 9*p**6 - 5*p**6 + j*p**2 - 8*p**2 + k*p**6 wrt p.\nAnswer: 1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 9*u = -9 + 69. Sort u, 2, 2\/7, -2, -1\/2.\nAnswer: u, -2, -1\/2, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*p**2\/5 + 96092*p - 1243088\/5.\nAnswer: -4*(p - 7063)*(17*p - 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131779\/16 - -8241. Let p(r) = r**2 + 4*r - 4. Let a be p(-5). What is the common denominator of o and 1 + a*(-202)\/(-20)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 273586.\nAnswer: -2\/136793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*v - 1424 = 1180 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggyagia. Give prob of picking 1 y and 2 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1863476 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7 - -0.3. Let k = -182 + 1636\/9. What is the second biggest value in k, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65489340 a multiple of 1205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, b: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 10:11 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 11*m**2 + 42*m - 12. Let f be g(-14). Let w(o) = 7*o - 13*o - 13 - 16*o**3 + 17*o**3 - 5 + 11*o**2 - 7*o. Give w(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 2. Suppose -29*v - 10 = -24*v. Let n be (-29)\/(-5) + v\/(-10). Give r(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57.46 - 57. Let b = 0.459946 - s. Round b to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 99 - 89 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 42947 to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.19? (a) 1 (b) 0.2 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 6*o - 8*o + 8. Let l be k(4). Solve 2*n - l = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -25*t**2 + 11*t. Let l(j) = 6*j**2 - 3*j. Let s(p) = 6*d(p) + 22*l(p). Let n(v) = -2*v + 876 - 2643 + 884 + 883. Calculate s(n(i)).\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 130*b - 600.\nAnswer: -2*(b - 60)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1670 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30804 - -55236. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*q - 43*q - 1315*q.\nAnswer: -1468*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 31*b**2 - 5. Let x(f) = f. Calculate x(l(t)).\nAnswer: 31*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p. Let x(n) = 2*n**2 + 2*n + 2. Suppose -t = -2*w - 6*t - 19, 2*t = w - 4. Let l be x(w). Let f(a) = -a**2 + l*a - 6*a. Determine o(f(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9))**(-4\/17)*(g**0*g)**31 assuming g is positive.\nAnswer: g**(563\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -2*sqrt(153))*5)\/(sqrt(576) - (sqrt(576)*-2 - sqrt(576)) - sqrt(9)) + (sqrt(17)*3 + -2 - sqrt(34)\/sqrt(2)*-1)**2.\nAnswer: -501*sqrt(17)\/31 + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -41.257 (b) 0.04 (c) -0.2 (d) 0.4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58394579 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7224405 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -219 + 225. Find the second derivative of -3 + 9 - 28*w - 86*w**2 - y wrt w.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 + 44*i**3 + 116*i**2 - 140*i - 600.\nAnswer: 4*(i - 2)*(i + 3)*(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -95.76585 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 12 + (-3 + 0 - 1 - -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 b when four letters picked without replacement from {b: 3, i: 3, m: 13}.\nAnswer: 39\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50.5 + 7.5. Let n = -40 - q. Which is the closest to 1? (a) n (b) -0.01 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*b + 4. Suppose 0 = 5*q - 2*h + b + 17, q = -h. Let g = 0.2 - 0. What is the second smallest value in g, 2\/5, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/((-84)\/((-109956)\/2737)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 11. Suppose 3 = -n*k + 11*k. Solve -k = -d - 3*r, -2*d + r = -3*r + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szpzzzzszsszzzspzs. Give prob of sequence sp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44434714 a multiple of 864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -203 (c) 1 (d) 0.1 (e) 459\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15966*m**3 + 31943*m**3 - 15976*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/9330 and -46\/45.\nAnswer: 27990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, d: 3, r: 4}. What is prob of picking 1 r, 1 o, and 2 d?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -0.326?\nAnswer: 2.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 217 = 147 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 110*l + 2. Let y(z) = -73*z - 1. Determine 5*x(f) + 8*y(f).\nAnswer: -34*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 7*h + 547 = -4*j, 3*h - 1686 = -3*j. What are the prime factors of h?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82.83 + 87.83. Let i(d) = -d**3 + 6*d**2 + 2. Let o be i(6). What is the nearest to -2 in o, x, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 0*f**2 + 0*f**3 - 2 - 13\/2*f**4 + 70*f. What is the derivative of d(n) wrt n?\nAnswer: -78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1, 12\/4057?\nAnswer: 12\/4057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4 - 19124*b**3 - 22204612*b**2 - 132711756*b - 198809784 = 0 for b.\nAnswer: -2809, -1966, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 10*c**2 - 9*c + 39. What is the hundreds digit of u(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20.7? (a) 0 (b) -0.1 (c) 2\/5 (d) 125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let g(v) = 1053*v**2. Calculate g(j(t)).\nAnswer: 1053*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042562 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s - 1. Calculate x(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p*p*p**23\/p)*p**(1\/9)*p assuming p is positive.\nAnswer: p**(-206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74366 - 261002 - 51685 - 39379 = 8884*j for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 7*t**2 - 7*t - 2. Let j be y(8). Let k = -6 + j. What is the third smallest value in -0.3, k, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 84 + 126*q**2 + 118*q**2 - 251*q**2 - 161.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -123012?\nAnswer: 123001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1322459, -1322464, -1322469, -1322474, -1322479?\n\"Answer: -5*i - 1322454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 13. Let u be c(-3). Suppose 5*o = 4*s + 343, 0*s = -u*s + o - 363. What is the remainder when 122 is divided by -2 - -3*s\/(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134912 is divided by 2499.\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + -2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 5*v**2 + 1. Suppose 181*u = -217*u + 796. Calculate y(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1086 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 640451279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1370 (base 10) to base 15\nAnswer: -615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(720))*-1 + -6*(sqrt(20) + -1 - sqrt(5)).\nAnswer: -18*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*1*-6 + 2 + -4.\nAnswer: -6*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -98.568 + -11\nAnswer: -109.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61230000 rounded to the nearest 1000000?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*v + 3*n + 29, -5*v - 5*n - 5 = 0. Suppose -5*o + 9 = -6. Solve o*k + 3 + v = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -89442556*u**2 - 279987429?\nAnswer: -178885112*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 2*n + 21, -5*t + 15*n = -566 + 596 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21*0.0387306\nAnswer: -0.8133426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08377 - -0.02866. Round g to three decimal places.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7544.966km?\nAnswer: 7544966000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -826.16 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -14\/11 (b) 4 (c) 5 (d) 1 (e) -13111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 114\/(-266)*((-3)\/9)\/(3\/(-9)). Let x = 0 + 5. What is the closest to -5 in x, -6, u?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/6 + 2*j**3\/3 + j**2\/2.\nAnswer: j**2*(j + 1)*(j + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.042 and 47596200185.\nAnswer: 47596200184.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -112 - 15*t**3 + 112 + (3 + 1 + 6)*(-10 + 6*t**3 + 12 - t**3) as m*t + a + i*t**2 + n*t**3 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41278?\nAnswer: 2, 20639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 + 4*n**2 - 2*n - 9. Suppose 188*z = 248*z - 240. Let l(a) = 2*a**3 - 3*a**2 + a + 8. Give z*l(m) + 3*c(m).\nAnswer: -m**3 - 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, -3, -13, -5 in descending order.\nAnswer: -1, -3, -5, -13, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3 = 5. Suppose j*n - 114 = -4*w, 0 = 3*n + 9. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -238970 and 228.\nAnswer: -238742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, -15\/4, 3 in decreasing order.\nAnswer: 3, 2, -15\/4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54720.49 litres to millilitres.\nAnswer: 54720490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.29 - 2.4. Let d = t - 4.89. Which is the nearest to -1\/4? (a) 0.4 (b) d (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2495, -0.3?\nAnswer: 2495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0559195 less than 0.1298?\nAnswer: -0.9261195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318343 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(-9)*12\/10. Let c(t) = -3*t - 3. Let g be c(j). Solve -b - 2*m = b - 10, 5*m = 3*b + g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/78390187 and 121\/34082690?\nAnswer: 783901870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1077 and 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2418, 9665, 21738, 38637?\n\"Answer: 2413*w**2 + 8*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by -10.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -5, 4.\nAnswer: -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166814*d**2*f - 1700032*d*f wrt d?\nAnswer: -333628*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 + 2 = 0. Let o(v) = v**2 + 3*v + 11. Calculate the lowest common multiple of o(0) and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 3*b**2 + 0*b**3 + b + 5 - 2. What is the units digit of h(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 6. Let r be q(8). Suppose -2*i = -2*x + r, 4*x - 4 - 10 = -i. Solve -x*a = -3 - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*o + 48*o - 12*o + 53*o to the form h*o + j and give h.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + (2 + (sqrt(242) - sqrt(242)*-2)*1 + sqrt(242) - (-3 + 0 + sqrt(242) - ((sqrt(242) - -2*sqrt(242)) + sqrt(242) + 0)))))**2 + 2.\nAnswer: 11860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -4 + 5 - -27. Solve 3*f = 4*k + k - h, 0 = -f + k - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*d - 4 = 0, 0*x - 3 = -x + d. Let b(f) = 316*f - 5061. Let w be b(16). Sort x, w, -52 in descending order.\nAnswer: x, w, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 8:27 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537.9913 meters to nanometers.\nAnswer: 537991300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**5\/30 - 2*t**3\/3 - 2*t**2. What is the derivative of r(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 27*n - 1974. What is the remainder when x(86) is divided by 100?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1968 - 1978. Sort y, -13, -2 in decreasing order.\nAnswer: -2, y, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 30 = 15*s, -3*k - s = -2*s - 2. Factor -2\/7*f - 2\/7*f**2 + k.\nAnswer: -2*f*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c. Let k(m) be the third derivative of 37*m**5\/15 + 20*m**2 + 2. Determine k(r(p)).\nAnswer: 7252*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34410000 rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55870.4 rounded to the nearest one hundred?\nAnswer: 55900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8267 - (28\/10 - (-21)\/105). Round a to the nearest 100.\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -821\/3 + 278. What is the third smallest value in 2\/5, b, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q. Let o be k(3). Let j = -26 + o. Suppose 0 = j*b + 148 - 508. Is b a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111591790*i**2 + 75*i - 676429?\nAnswer: -223183580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -592.2 - -592. Which is the smallest value? (a) j (b) 0 (c) 0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 30. Let c = r + -9. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*j, -5*j = -4*p - 2*j + 68. Solve -p = 3*c + 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m + 38*m - 12*m - 13*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295232 to the power of 1\/2, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 523\/5859 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 13443064812056?\nAnswer: -13443064812055.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 12532.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6375 by -5.\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27321 is divided by 346?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -16*h + 18*h + 96, -m = 4*h + 192 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114156\/6804 - 3*(-2)\/27.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w - 1. Let a be z(1). Let c be 1\/2 + 914\/a. Suppose -4*m + 87 = -4*l - c, 5 = -5*l. 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: Solve -12*b - 4 = 44 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 2*u - 30. Let a be u\/(-18) + 12\/(-54). Suppose 0 = -2*h - 4*x - 14, 5*h - 20 = h + 4*x. What is the highest common factor of a and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3340791?\nAnswer: 3, 123733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (78\/(-195))\/(6\/255). Let j = -12.5 + 12. Which is the nearest to -1? (a) v (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 2 + 1 + -4. Suppose w = 6*k + k - 21. Suppose 2*o - 5*q - k = 4*o, -4*o + 18 = 2*q. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3114 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 9 - 6910*p**2 + 57.\nAnswer: -6910*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 305813.9 millilitres?\nAnswer: 305.8139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/42 and -169\/91686.\nAnswer: 91686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(162)*-2*4)\/(sqrt(36) + (sqrt(1764) - -4*sqrt(1764) - sqrt(1764))).\nAnswer: -24*sqrt(2)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-1)*100\/50?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.11 + 5. Let y = c + -8.89. Let w = y - -9.0039. Round w to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1340, 2665, 3958, 5213, 6424, 7585, 8690, 9733?\n\"Answer: -w**3 - 10*w**2 + 1362*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -272 or -541\/2?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4518)\/54)\/(2\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002272 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 4*l**2 - 1. Suppose 4 = 5*a - a + 4*c, 2*a - 3*c = -23. Give u(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, 1 i, and 1 l when four letters picked without replacement from miiimliewim?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5.12. Let q = v - 4.12. Let r = -0.3 + 0.4. Which is the nearest to r? (a) -3\/5 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5999776 divided by 4\nAnswer: 1499944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (10 - 13)) + 2 + 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93762818?\nAnswer: 2, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 3016007.\nAnswer: -3016007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d + 35. Let b(i) = -2*i + 2. What is the tens digit of b(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -6. Suppose g = -j + 4. Suppose -q + j = -f, 4*q - 10 = -0*q + 3*f. Solve -2*t + 4 = w, -4*t - 3*w + 5 = -q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*u**3 - 35*u**3 + 58*u**3)*((u**2 - 3*u**2 + u**2)*(3 + 1 - 1) + (124*u - 124*u - u**2)*(-2 + 3 + 0)).\nAnswer: -392*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Let a(i) = 11 + i - i + n*i. Let j be a(-8). What is the second biggest value in 0.1, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -638157 or -638160?\nAnswer: -638160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-16))\/(1\/(-2)). Let n be x + 3\/(-6) - 711\/(-6). Let b = n - -125. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.041 and -3.98321.\nAnswer: -0.16331161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227, -226, -225, -224?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*s = 630997, 4*s - 5*s = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - v - 28 = 0, 0 = 5*k + 7*v - 4*v - 70. Suppose -204 = -k*z + 7*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -333*v**3 - 1 + 64*v**2 - 64*v**2 - 200*v**3 as m*v**2 + q + u*v + s*v**3 and give s.\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/(-3)*9\/6. Suppose -10 = -w + 7. What is y in l - w - 2*y**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 253 = -17. Calculate the remainder when 43 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 24 (b) -40 (c) 185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 5. Let d be a(-10). Let o be d\/(-2)*(-12)\/(-5). Let g = o - -51. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76090900?\nAnswer: 2, 5, 23, 33083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 82 - 11 - 51)*(0*c**3 + 0*c**3 - 4*c**4) in the form o*c + g*c**4 + p*c**2 + i*c**3 + a and give g.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-2 + 1 + -3). Suppose -8*l - 4 = -9*l. Let f be -4*1*(l - 5). Solve -3*d = 2*r - g, d + f*r + 1 = -1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3*d + 10, 2*d - 12 = -3*q - d. Let h be 296\/(-104) + (-3)\/q. Let z = -4 - -4.3. Which is the second smallest value? (a) z (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 14\/9*g + 2\/9*g**2 = 0 for g.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 217980 and 357072?\nAnswer: 37492560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 1\/3*o**3 + 1\/60*o**5 + o**2 + 0 + 0*o - 5\/12*o**4. Calculate the remainder when 38 is divided by f(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 131, 124, 105, 68, 7?\n\"Answer: -d**3 + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y - 1\/2*y**3 + y**2 + 0. Differentiate s(u) with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*k**2 + 3*c*k*x - 5*c*k + 7*k**2 + 3*k*x wrt c.\nAnswer: -k**2 + 3*k*x - 5*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7981, 16491, 25003, 33517, 42033, 50551, 59071?\n\"Answer: x**2 + 8507*x - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -35*s**5 - 690*s**4 + 4680*s**3 + 25600*s**2 - 7680*s = 0?\nAnswer: -24, -4, 0, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05764 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.24 - 0.45. Let u = t - -5.21. Let y = -3.007 - -0.007. Sort u, y, -1\/5.\nAnswer: y, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -2) + 2 - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g**4 - 6661*g**3 + 411*g**2 - 2*g + 4 wrt g.\nAnswer: -120*g - 39966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*p = 769*p - 33*p + 18900 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {b: 2, i: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d = -55. Solve -3*p + d = 4*k, -4*k + 2*p + 43 - 17 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d = 110*d - 286580. What are the prime factors of d?\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*h + 20, 94*h + 28 = -4*f + 96*h. Let a(n) = 3*n + 0 - 1 + 4 + 5. Calculate a(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6181400?\nAnswer: 2, 5, 31, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61.5 - 61. Let c = 0 + 0. Let r(a) = a**2 - 5*a - 4. Let n be r(5). What is the nearest to -1 in c, n, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4143 divided by -1381?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10099 is divided by 3274.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**2 - w + 13. Let z(o) be the second derivative of 30*o - 1\/12*o**4 + 3\/2*o**2 + 0 + 0*o**3. Calculate 2*p(d) - 9*z(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*v + i + 39, 5*v - i = 245. Calculate the remainder when 143 is divided by v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57979 is divided by 3861?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -66625.5 to the nearest one hundred.\nAnswer: -66600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*q + 2*q**2 + 858*q + 0*q**2 - q**2.\nAnswer: q**2 + 1087*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 16) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-42)*238\/6. Let l = o - 776\/69. What is the second smallest value in 3, l, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 5:10 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16638 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from itzdu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2002*z - 1104*z + 839*z + 2)*(3 + 0 - 1) as i + d*z and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -12. Let i = v - 11. Let g be 12*i*(-2)\/6. Solve -3*s - 3*m = 2*s - 14, s + m = g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 721? (a) -1425 (b) 1 (c) 0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5786 - -5778.402. What is k rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -750, -1783, -3254, -5163, -7510?\nAnswer: -10295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36 - -2)\/(2\/1). Let l = z + 64. Suppose 0 = v + 70 - l. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 160417 + -109367. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -550, -1100, -1648, -2194, -2738?\nAnswer: -3280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - 1536*w**3 + 0*w + 5*w - 5*w**2 + 1549*w**3 to x*w**4 + o*w + q*w**2 + s*w**3 + j and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 67*n**5\/20 - n**3\/3 - n**2 - 10251*n. Let u(c) = 11189*c**3 - 335*c - 335. Calculate 335*t(h) - 2*u(h).\nAnswer: 67*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.75922*-2.\nAnswer: -67.51844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/10*10\/(-4). Let p(z) = -z**2 + 2*z**3 + 0*z - z**2 - 3*z. Let r(i) = -6*i**3 + 7*i**2 + 10*i. Determine s*r(k) - 7*p(k).\nAnswer: -2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 68. Calculate b(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 174\/(-34) + 3. Let n be (3\/9)\/((-10)\/6). What is the closest to 0.1 in 2, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14*s**2 - 3*s. Let g be 2*3\/((-18)\/15). Let x(d) = -3*d**2 - 2*d + 7*d**2 + 4*d**2 + d**2. What is g*n(y) + 8*x(y)?\nAnswer: 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d - 17. Let u(h) = 2*h**3 - 36*h**2 + 2*h - 33. Let b be u(18). What is p(b)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 0, -17, -81, 5, -1 in decreasing order.\nAnswer: 5, 4, 0, -1, -6, -17, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*b*l**2 + 4215*b*l - 1112*l**2 - 11042 wrt b.\nAnswer: 67*l**2 + 4215*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42959.21 * 25.\nAnswer: -1073980.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -4.37 (c) 301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 6*f - 1. Let q be l(1). Sort q, -2, 3, 6.\nAnswer: q, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -59228, -473291, -1597176, -3785795, -7394060?\n\"Answer: -59152*s**3 + s**2 - 2*s - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212098538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o**11))**(2\/119)*o**(-8\/13)\/o**48 assuming o is positive.\nAnswer: o**(-75520\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 900 = -2005 - 2738. Calculate the remainder when i is divided by 91.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/14)\/(-2*6\/(-24)). Calculate the highest common factor of n and 459.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2469.65738 rounded to the nearest 10?\nAnswer: -2470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, p: 3, w: 3}. Give prob of sequence swww.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 5, 4, 127, 3.\nAnswer: 3, 4, 5, 21, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 533 + -390. Calculate the highest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/15)\/((-10)\/6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 77185*p - 7486945. Calculate l(97).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 5*g**2 - 8. What is u(6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14 + -1)\/(32\/(-288)). Suppose -t*b = -122*b + 494. Is -112\/3 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 46*n**2 + 669*n + 115. What is y(12)?\nAnswer: -1937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z + 14. Let y be w(-6). Let r(b) = -5*b**3 - 6*b**2 + 13*b - 13. Let v(t) = -2*t**3 - 3*t**2 + 6*t - 6. Let j(x) = 3*r(x) - 7*v(x). Determine j(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppidppxwxdlddwi. Give prob of picking 2 p and 2 x.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/3 + 386*a\/3 - 12351 = 0.\nAnswer: 179, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 13978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (2 + 0)) + 4. Let p(w) be the first derivative of 27*w**2\/2 + w + 325. What is the tens digit of p(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 5*t**3\/3 + 4*t**2 + 17*t + 33. Let u(y) be the third derivative of y**5\/30 + y**4\/8 + y**3 + 2*y**2. Give 3*b(r) - 8*u(r).\nAnswer: -r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1508*w = -4809*w - 198060 for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.6 + 36.7. Which is bigger: p or 0.812?\nAnswer: 0.812","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -441440000 rounded to the nearest one million?\nAnswer: -441000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehievh. What is prob of sequence vh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/6 and 122\/136 - 20\/(-80).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -6, 1 in increasing order.\nAnswer: -80, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 712 - -157. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y + 8. Let u be (-6)\/12 + 3 + (-1725)\/(-6). Let r = u + -296. Let o(m) = -17*m + 15. What is r*o(i) + 11*v(i)?\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 45*j**2\/2 - 584. Let h(b) = -b. Give h(z(t)).\nAnswer: -45*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3681*r - 3673*r + 72 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24305 is divided by 293.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -24*z**5 + 44*z**4 + 204*z**3 + 68*z**2 - 180*z - 112 = 0?\nAnswer: -7\/6, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(-2)*(-200)\/(-750). Solve -12*n + h = 2*v - 14*n, n = -1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose m = -3*p + 27 + 42. What is the remainder when p is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 4*d**2 - d + 1. Let q be a(-4). Solve -w = 4*w + 20, 0 = 4*z - q*w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6448615 take away -128256?\nAnswer: -6320359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -263.73737 and 0.3?\nAnswer: 264.03737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 6 = 15*q. Suppose 0 = 5*x + o - 15, 5*x = q*o + 2 + 13. Let u(i) = 4 + 0*i + x*i - 3*i + i. Let c(a) = -a - 7. What is -4*c(p) - 7*u(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 199.336 - 200. Let r = q + 0.004. What is r rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -4 - (-7 + 6)*22. Suppose r = 2*c + 15. Solve -c*g + 15 = -0*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/19 (b) -5 (c) -2\/13 (d) 3\/526\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c - 20. Let r be x(-5). What is the third derivative of 6*y**2 + 4*y**2 - 19*y**2 + 5*y**r wrt y?\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161 and 46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163298191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 52*(7\/(-14))\/((-5)\/5)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*l - 30 = -2*r, 5*l = -5*r + 10. Suppose 4*u + 10 = 6*u - 2*g, 4*u + r*g = 4. Solve 3*o - 5*i - 13 = 0, -o - 5*i - u - 6 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(2*j - j + 0*j) + j - j - 2*j + 0 + 0 - 2*j + (-2*j - 2 + 2)*(-3 + 0 + 1 + (0 + 5 - 6)*(-4 - 6 + 11)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 y when four letters picked without replacement from {p: 7, y: 4, r: 1, u: 2}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24620 - 57*p**2 - 6*p - 24614 + 49234 + 9*p.\nAnswer: -57*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 11*h**2 - 7*h - 18. List the prime factors of v(12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from hexhxxrrhhhrhx?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + (-3*(-3*sqrt(152) - sqrt(152)) + sqrt(152) - sqrt(152)))*4)\/(sqrt(200) + sqrt(200) + 1*sqrt(200) + sqrt(200) - sqrt(24)\/(sqrt(3)*-2)).\nAnswer: 104*sqrt(19)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5963?\nAnswer: 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 116 (base 16) to base 9\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:58 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -610 - -1330. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2769300 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3860692 is divided by 428965.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 v when three letters picked without replacement from {x: 2, g: 7, v: 2}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3\/4 - 147*j**2\/4 = 0.\nAnswer: 0, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2186 + -2191. Which is the smallest value? (a) -2 (b) 3\/479 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (-154)\/(-18) - (-18 - -12).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 7. Suppose -117*n + 4*t = -113*n - 32, 0 = -4*n + 3*t + 23. Let v(i) = -i - 1. Determine n*m(w) + 2*v(w).\nAnswer: -4*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2 + 242999*z\/2 + 2125935\/2 = 0.\nAnswer: -60741, -35\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**3\/3 - 2*s**2 + 3*s - 6. Let i be c(-4). Suppose 21 = 3*z + i. Calculate the remainder when z is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**3 - 18*p**3 + 36*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/2004136?\nAnswer: 1\/2004136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.77 + 38. Let p = s - 0.03. Which is the smallest value? (a) -2 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {e: 2, b: 12, f: 4, h: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*2*-4*-3 + 1*(sqrt(1573) + -1 - sqrt(1573))*4.\nAnswer: -4 + 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -67, 15, -1, 2\/31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2736) + -5 + sqrt(57)\/sqrt(3) + sqrt(19).\nAnswer: -5 + 38*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -198 + 429. Suppose -14*l + 358 + 1308 = 0. Let c = g - l. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344037 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.073 + -0.055. Let u = r + -39.018. Is u bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2 - 5*w + 9 - w**2 - 19 + 15. Determine v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 7*v**2 - v - 40. Let t be y(-6). Factor 4\/5 - t*l + 4\/5*l**2.\nAnswer: 2*(l - 2)*(2*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -2*y**6\/3 - 24*y**5\/5 - 5*y**4 + 80*y**3\/3 + 72*y**2 + 64*y - 742. Determine b, given that x(b) = 0.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d - 28 = -24*d. Let v be (-138)\/18 + d - (-110)\/3. Let j = -36 + v. Is 0 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + 8*r + 13. Let o be g(9). Let q = 82 + o. Let p = -35 + 37. Solve 0 = q*d + 3 + p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(5\/7)*(s\/s**1)**(1\/5) assuming s is positive.\nAnswer: s**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2. Let w(h) = 69*h**2. Give w(s(n)).\nAnswer: 621*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 - 47 = 40*f. Solve -3*u + 5*i + 16 = 0, -2*i = f*u + u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l - 4*l + 2*l)*(-4*l + 6*l + 0*l**2 + 2*l**2) to the form b*l**3 + k*l + i*l**2 + c and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -29. Suppose -o = -y + 19. Calculate the highest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*r**4 + 27*r + 1669?\nAnswer: -64*r**3 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1094 + 2731. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k + k - k)*(-5 + 0 + 6) - 1 - 2 + 3 - k)*(163*k**2 + 45*k**2 - 901*k**2).\nAnswer: -693*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -95, 0.4, -1\/4, -1\/112 in increasing order.\nAnswer: -95, -1\/4, -1\/112, 0.4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 2 - (10\/(-5) - 2). Let y(c) = 8 + 11 + 3 + 9 - 38 + c. What is y(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*w - 68 = 114*w. Which is the fourth smallest value? (a) 1\/3 (b) w (c) -2\/19 (d) 129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5\/3, -2\/5, -77, 0.4, -17751, -0.04?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7086*g**2 - 41568.\nAnswer: -14172*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175392.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 77 = 4*t. Solve -2*m + 3 = -t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9684.039 millennia in centuries?\nAnswer: 96840.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -11674 (c) -0.03 (d) -2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*6\/72*(-40)\/(-50).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/19055260 and -117\/72730?\nAnswer: 19055260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 11:41 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46285 + 662?\nAnswer: 47057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1336510 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - v**2 + v + 1. Let m(r) = 2*r**3 - 4*r**2 + 4*r + 6. Determine -6*d(j) + m(j).\nAnswer: -4*j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10.3*-18\nAnswer: 185.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + 5*r - r**2 + 0*r**2 + (-r - 2*r + 2*r)*(5*r + 17*r + 24*r).\nAnswer: -47*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -60, -73, -64, -27?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13554859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 - 360. Let z = n + 216.9. What is z rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 10*g**2 + 5*g + 33. Calculate w(-5).\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 925515543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 12:53 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (10 - 0) - (-5 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336718.7 seconds in minutes?\nAnswer: 22278.645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8974 and 20.\nAnswer: 179480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 65 = -5*b. Suppose 4*a + 0 + 1 = 3*m, a = 5*m - b. Suppose -3*q + 43 = -4*n, -4*n + 36 = m*q - n. Calculate the remainder when q is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.84450783 to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3016 - 3013. Suppose 0 = -4*j - 5*m + 167, 0*j - 2*m + 86 = 2*j. Suppose 0 = p*n - j - 21. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 605 - 600. Which is the nearest to -2\/7? (a) -5 (b) 15 (c) j (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 2) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2439*1.\nAnswer: 0.2439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1303121 rounded to three dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.7 and 83.8.\nAnswer: 85.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -5, -0.4, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(sqrt(119) + -2*-1*sqrt(119) + -4*((2*sqrt(119) - sqrt(119)) + sqrt(119)))\/(-2*sqrt(700) - (sqrt(224)\/sqrt(4))\/sqrt(8))*3)**2.\nAnswer: -3825\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 551, 554, 557, 560?\n\"Answer: 3*s + 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/2 of a millennium?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-9)\/175 + (-118)\/(-1475)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r - 6. Let u be c(-4). Let k(i) = i**3 - 11*i**2 + 11*i - 8. What is the remainder when k(u) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 436986123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 144588874.5ns?\nAnswer: 0.00000023906890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 217322715 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9392.95 take away 1.99?\nAnswer: -9394.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/(8\/6). Suppose -40*m + 36*m + 14 = 2*r, 3*r + 7 = m. Let x be r\/(2\/(-3)) + (-1)\/(-2). What is the fourth smallest value in 1, -3, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1942246461 + 42460.\nAnswer: 1942288921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32336531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.033613 and 386989203?\nAnswer: 386989203.033613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 687 + 819 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + q + 3)*(3*q - q - 3*q + (-q - 2*q + q)*(-35 + 41 - 30)).\nAnswer: 47*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*q**3 - 38*q**2 + 23*q**3 - q + 2 - 41*q**3 + 0*q to the form v*q**2 + u*q**3 + b + m*q and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4628 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: Suppose 172*z = -4*z + 21296. Let q be (((-9728)\/4)\/4)\/(-5). Which is bigger: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 366, 5, 4 in increasing order.\nAnswer: 4, 5, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1963 = -3*t + 2*j - 20587, j = -5. Let z = t + 157865\/21. Calculate the common denominator of 5\/99 and z.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 + 38*o**2 - 131*o - 1329. Determine l(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/9)\/(l**(-4\/9)\/l*l) assuming l is positive.\nAnswer: l**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u. Suppose 4*l - t + 3*t - 26 = 0, u = -5*l - 5*t + 45. Suppose -5*o - 40 = -5*i, 4*i + 7*o - 11 = l*o. Solve -11 = -i*p + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23695, -55130, -86565, -118000?\n\"Answer: -31435*u + 7740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/4*4\/6. Let f(v) = -v**3 + 4*v**2 + 2*v - 6. Let b be f(4). Find the second derivative of -j*h + b*h - 2*h**3 + h wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-8)\/4 + 0. Suppose -5*d + 9 = -s*d. Suppose -j = -d*j + 26. Solve 3*a = 4*n - 4, -4*a = j + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*m + 22*m. Suppose 2*v - 5*v + 6 = m. What is the remainder when -119*(-3)\/9 + v\/(-3) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 60584.15 meters?\nAnswer: 60.58415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 9 = -11*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -29 - 11 - 24.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1079822 - -3.108. What is l rounded to seven decimal places?\nAnswer: 0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 235*y + 2210.\nAnswer: 5*(y - 34)*(y - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-7*(-15 - (-1598)\/119).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-11)\/(-154))\/((-4)\/(-7) - 5)\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(12\/5))**(-2\/29) assuming q is positive.\nAnswer: q**(-24\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {f: 4, l: 2, v: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**3 + 687*z**2 + 411*z + 411. Give h(138).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - 72\/(-7)) + (-267762)\/(-7). Suppose -6*a = -5446 - d. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -378*(-2 + (-7)\/((-56)\/12)). Let d = t + -97. What is the highest common factor of 138 and d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 64 = j. Let a = j - 4. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 q, and 1 m when three letters picked without replacement from yylqlm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157\/63 + -19\/7. Which is the second smallest value? (a) 0.4 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*c**2 + 32*c**3 - 28*c**2)*(1 + 3 - 6)*(2 + 1 - 4).\nAnswer: 64*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -182, -573, -1340, -2609, -4506?\nAnswer: -7157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = z - 66*r + 69*r, -4*r = -12. Solve -2*c = 6, z*u + 5*c + 7 = 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*1)**2 + (sqrt(84)\/(sqrt(72)\/sqrt(6)))**2 + 5.\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23008 times 438\nAnswer: 10077504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 26, 43, 78, 137, 226?\n\"Answer: h**3 - 2*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {n: 5, a: 15}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1800 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 + ((-114)\/(-42))\/1. Solve -q = -m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-14)\/(-13) + -1). Suppose -4*y - s + w = 0, 5*s = -5*y + 66 - 21. Factor q**3 + 14*q + 7*q**3 + y*q**2 - 6*q**3 + 6.\nAnswer: 2*(q + 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(20\/(-12)))\/((621\/(-96))\/(-69))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j + 14225. Let c(v) = 3*v - 9478. Give -11*c(a) - 7*z(a).\nAnswer: 2*a + 4683","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let s(v) be the third derivative of 0*v**3 + 7*v**2 + 0 + 1\/30*v**5 + 0*v**4 + 0*v. Calculate l(s(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 11 + 8 - w)*(-23*w**3 - 15*w**3 + 14*w**3) in the form l + v*w + f*w**2 + t*w**3 + p*w**4 and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 4*x + 80. Let j be (-45)\/6*-1*2. Let h(b) = -b**3 + 15*b**2 + b + 5. What is the smallest common multiple of h(j) and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {o: 5, t: 5, u: 1, l: 6}.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 419*g - 2277*g + 1040*g - 2571*g as z*g + d and give z.\nAnswer: -3389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 186\/62 + 11\/(-2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2596*q + 5072*q = 2566*q + 1440 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 5) to base 2\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, -1\/6, -8, -3, 0.09, -0.2 in decreasing order.\nAnswer: 148, 0.09, -1\/6, -0.2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g**3\/5 - 1308*g**2\/5 - 47403*g\/5 - 114264 = 0. What is g?\nAnswer: -40, -69\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41.3 - 1.\nAnswer: 40.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583*b**2 + 455*b**2 - 425*b**2 + 396*b**2.\nAnswer: 1009*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*v + 392, -5*a + a + 2*v + 802 = 0. What are the prime factors of a?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50054 times -0.04?\nAnswer: 0.0200216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 2*r**3 - r**3)*(-3*r**2 + 0*r**2 + r**2 + (2*r**2 - 3*r**2 - r**2)*(4 - 2 - 6) + (-2*r + 4*r + r)*(0*r - r + 2*r) - r**2 - 4*r**2 + 3*r**2).\nAnswer: -14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1158222, -1158183, -1158142, -1158099?\n\"Answer: h**2 + 36*h - 1158259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-30)*(-1794)\/(-3887)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3944 and 122162.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/7776 and 17\/34992?\nAnswer: 69984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1164.7416 months?\nAnswer: 0.970618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - (-5 + 4)) + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i + 13045 = 29*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 - (-4 - -1)) - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -462*h**2*i**2*y + 68*h**2 + 131*h*y - 1379*i**2*y - 2*i**2 - 15548 wrt h.\nAnswer: -924*h*i**2*y + 136*h + 131*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 20 = 0, 30 = 2*v + 3*q - 8*q. Suppose 0 = 4*x - 5*l - v, x + 5*l - 3 + 8 = 0. Let j(a) = x*a + 8 + 3*a - 2*a - 2*a. What is j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -217*v - 4. Let l(m) = 190*m**2. What is x(l(d))?\nAnswer: -41230*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612834697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.15 - -0.15. Let c = i + 6.97. What is the second biggest value in 1, 5, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*j - j**2 - 23 - 63*j + 0*j**2.\nAnswer: -j**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 + 5*t**2 - 1030*t - 3110. Determine v(-3).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 611 - 619 + 1847 - 617 - 2003*o in the form s + p*o + u*o**2 and give p.\nAnswer: -2003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 35*s. Let r = 102 + -105. Let n(o) = -4*o**2 - 3. Let g(j) = -3*j**2 - 2. Let v(p) = r*g(p) + 2*n(p). Give w(v(a)).\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3466004515?\nAnswer: 5, 71, 9763393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*w**4 - w**3 + 511*w**2 - 6*w - 2686728 with respect to w.\nAnswer: 84*w**3 - 3*w**2 + 1022*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662254 - 63972?\nAnswer: 598282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-3)\/((-126)\/1)). Suppose -5*l + 4*m - m + 94 = 0, 0 = -4*l - 2*m + c. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**2 + 223. Let q(c) = 30*c. Give q(o(l)).\nAnswer: -60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 9*u**2 + 7*u + 22. Let l be (-1)\/4 - 3\/(-36)*-1401. Let b = l + 165. What is the remainder when q(8) is divided by b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70*1815\/4620*(-1 + 1 + -1).\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1306\/975 - -2\/325. Which is the third biggest value? (a) 2 (b) 5 (c) k (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 + (-9 - -20) + -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -238 - 250. List the prime factors of (-3 - -7)*g\/(-16).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 16, u: 4}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + m + 1. Let a be h(0). Let t = -8151 + 8150.8. Let r = -0.4 - -0.7. What is the second smallest value in a, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-33747)\/(-27) - 5) + 2\/18. Let l = 2147 - m. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/5 + 2142\/(-4080). Which is greater: 7 or w?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 238546299 to the nearest one million.\nAnswer: 239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nce when three letters picked without replacement from {c: 3, m: 3, o: 5, e: 3, n: 1, a: 3}.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkddyvdvvdkgykdykkdt. What is prob of sequence vyvv?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1032 = 2*s, 1028 = 5*h + 509*s - 512*s. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 16, 49, 106, 193, 316, 481, 694?\nAnswer: 961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 1622246 - 464341 = 0. List the prime factors of o.\nAnswer: 33083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/29538491 and 37\/172048?\nAnswer: 472615856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c - 11. Let r(o) = -14 - 1 + 4*o + 21. Let d(i) = 3*l(i) + 5*r(i). Find the first derivative of d(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:13 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2195*d**5*r**2 - 6*d**4*r**2 + 89275*d*r**2 + 29*d*r wrt d?\nAnswer: 43900*d**3*r**2 - 72*d**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*m - 5*m = 10, 2*x + 3*m = 25. Suppose 0*v = -v - g - x, 0 = -4*g - 20. Suppose v = d - 6*d + 140. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 92890428 and 1.3.\nAnswer: 92890429.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 597*t - 598*t - 4 = 0. What is the second biggest value in -0.74, t, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = j - n - 31, -3*j + n + 266 = 0. Which is bigger: 91 or j?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 5929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c = -f - 136, -4*c - 3*f = -292. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581230 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -46. Put 4, 3, 1, p in ascending order.\nAnswer: 1, 3, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j + 16. Let q be b(4). Suppose -12 = 4*i - 7*i + 3*z, -q*i = 4*z - 56. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29258 and -75314901?\nAnswer: 75344159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/4))**(6\/35)*r**(5\/3)\/(r**(2\/13)*r))**26 assuming r is positive.\nAnswer: r**(1751\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 28, 5, 3, 59 in descending order.\nAnswer: 59, 28, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 7. Suppose -5*d - 37 = -7. Let y be v(d). Suppose 0*u + 3*u = -y*r, -2*r + 4*u = 0. Solve 3*n + 10 = -h + 5*n, -4*h - 5*n - 1 = r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 - -88. Let h(g) = 11*g - 20. Let x(j) = 12*j - 20. Let a(q) = k*h(q) - 6*x(q). What is the derivative of a(f) wrt f?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1175\/3 + -392. Which is the nearest to n? (a) -5 (b) -0.02 (c) -1.7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/t)**(-6\/19)\/(t*t**(4\/9)*t**(-2)*t) assuming t is positive.\nAnswer: t**(86\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kllyclltlkyccl. What is prob of picking 1 k, 2 y, and 1 t?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2 - 0)\/(-8)). Let w be ((-20)\/60)\/((-1)\/(1 + 50)). Suppose 4*x = -5*h + 21, h - n*x + w = 2*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzuzlcczicc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12224)\/72 + (4 - -1). Let g = x - -165. Which is the second smallest value? (a) g (b) 6\/23 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 71. Suppose -1 = n - 12. What is the remainder when c is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -25, -1, -14 in increasing order.\nAnswer: -25, -14, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177535 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4.1. Let f be 0\/(-3 + 1) + 21. Let q be f\/36 + (-1)\/3. What is the biggest value in -4, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130550555 (base 6) to base 3\nAnswer: 11211022111222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 327*m - 330*m + 109, 6*g - 30 = 0 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - -1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16729566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 0*u**4 - 2*u - u**5 + 3*u**3 + 0*u**3 + u**2 - u**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-10 + -1 - -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4 (b) -0.4 (c) -97 (d) -899\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-4)*d**4*(d**2)**47 assuming d is positive.\nAnswer: d**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -95*i + 3234. Let y be v(34). Solve 0 = -y*d - 4*h - 2 - 2, 3*d + 2*h = 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m = 0. Suppose 1353 = -m*t + 3*t. Suppose 3*i = -6, 5*c = 2*i + i + t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.9159 seconds in milliseconds?\nAnswer: 168915.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.4351 and -0.019181.\nAnswer: -10.454281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1134 - 153032?\nAnswer: -154210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2 - p - 3*p**2 - 5*p + 2*p**2. Let u(s) = 4*s**2 - 1. Let q be u(-1). Let k(w) = -w - 2. Let c be k(q). What is a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163402 = -37*h + 587570. List the prime factors of h.\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0.8 (c) 3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6370739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6454 + 2647?\nAnswer: -3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -243762*f**3*k**2 + 8*f**2*k**2 - 219*f**2 - 11*f*k - 2*k**2 wrt f.\nAnswer: -1462572*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -6. Suppose 5*r = -4*s + s + 8, 2*r - 12 = s. Suppose -5*z + 6 = -r. Calculate the remainder when z is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -128.5105 and -129.2.\nAnswer: 16603.5566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29331080*w**3 - 97*w**2 - 722829*w?\nAnswer: -175986480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-2) + (-31031)\/2184. Let r = j + 34\/3. Let 0*p + 0 - 1\/4*p**2 + 3\/8*p**3 - r*p**4 = 0. What is p?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9*o = 4*x - 54, 5 = 5*x. Let h be (3 + -1)*5\/2. Suppose 0*a - h*a + o = 0. Solve 0 = 4*b + 5*t - 32, -4*t + 20 = a*b - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 2, 1, -131 in decreasing order.\nAnswer: 4, 3, 2, 1, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 359 - 359.3. Let y be ((-4)\/(-2))\/(3 - -3). What is the fourth biggest value in -4, j, -3, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1. Let w(r) = 11*r - 24. Let z(a) = a. Let t(f) = -w(f) + 5*z(f). Let i(x) = x - 5. Let v(s) = 11*i(s) + 2*t(s). What is 21*h(l) + 3*v(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 81, 173, 301?\n\"Answer: 18*l**2 + 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.305 * -1.92.\nAnswer: 0.5856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -220?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-5 + -5 + 17 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -8) + (7 - 8). Let v(x) = 2*x**3 + 2*x**2 + 4*x - 6. Let b(p) = 3*p**3 + p**2 + 5*p - 6. Let c(u) = 3*b(u) - 4*v(u). Determine c(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-218 - -220) + (5 + (-8 - -1) - (1 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*q - 17. Let g(m) = 2*m + 11. Let y be g(q). Let n(t) = 3*t**2 + 2*t + 1. Calculate n(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1. Let c(p) be the third derivative of -p**5\/15 - p**4\/8 + p**3\/3 - 8*p**2. Let r(b) = -c(b) - z(b). Give r(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiieieiieiieeeieeee. What is prob of sequence ee?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543410926?\nAnswer: 2, 23, 11813281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1597 (b) 0.2 (c) 1\/6 (d) 3 (e) -3315 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44.999872 + 0.045872. Let v = r - 0.046. Let s = v + 44.9999937. What is s rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -222, -1\/191, -0.1 in descending order.\nAnswer: 3, -1\/191, -0.1, -4, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 29*n**2 + 21*n - 1418. Give y(29).\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12580258 and 2726?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3251377 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2. Suppose 2*v + 42 = 9*v. Let m(o) = -3*o + 3 - 3 - o - v. Determine l(m(d)).\nAnswer: -16*d**2 - 48*d - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8*1)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 66. Let q = -141 - g. Round q to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-70)*-5 + (-2451)\/(-21). What is the greatest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + (-820)\/(-70))\/((-1)\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (-12 - 17) - 0) + 1 + 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(5\/4)*k*k\/k**(5\/4)*k*k assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4120 and 35535.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 - 0.2411.\nAnswer: -0.3811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.5, 1\/11, -0.6, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 468 - 472. Let j = 0.72 + -0.8. What is the nearest to j in -5, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(-4\/13)*(w*w**3*w*w)**(1\/34) assuming w is positive.\nAnswer: w**(-97\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 10*o + 0 + 0 in the form j + w*o and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/6)\/(5*(-2)\/20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*k + 2*d - 108, -5*d = -5*k + 150. Calculate the smallest common multiple of k and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141972 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-11)*f)\/f)**(-7) assuming f is positive.\nAnswer: f**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*m + 675*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50 and -0.5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -209*t**2 + 5*t + 208*t**2 - 4*t. Let m = 31 - 13. Let j(y) = -10*y**2 + 9*y. Let k(r) = m*q(r) - 2*j(r). Let g(v) = 3*v. Give k(g(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = 0, 0 = -3*c + 4*c + t - 15. Let g = 24 - c. Solve -2*p - g = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f)**(-14) assuming f is positive.\nAnswer: f**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 133 = 1558. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153747, -305951, -458155, -610359?\nAnswer: -762563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 4 (c) 0.14 (d) 54 (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 9*f + 4. Let v be y(10). Let l(c) = -25*c - 66. Let u be l(-8). Suppose 12*x - v*x + u = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - h**4 + 0 + (0 + 2*h**2 + 0)*(h**2 - 3*h**2 + 0*h**2) - 91*h**4 + 2929*h**3 - 2929*h**3 + 7*h**4 + h**4 - 10*h**4 - 5*h**2.\nAnswer: -98*h**4 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i - 2*n - 20 = 37*i, 5*i + 2*n = -26 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 3, e: 9, d: 2, i: 3, r: 1}. Give prob of sequence xrtx.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 8*w + 4. Suppose 148 = 45*z - 32. Determine v(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 18468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06376, 1\/2, 0.3 in descending order.\nAnswer: 1\/2, 0.3, 0.06376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980 - (0\/5 - 0 - 1)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 - k. Let p = 1 - 0. Let y be m(p). Suppose -y*a + 0*a + 92 = 0. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 22. Let j(f) = f - 1. What is j(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302344389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + c + 1. Let l(q) = -2*q**2 - 6. Let d(s) = 2*s**3 - 5*s**2 - 16*s + 38. Let v be d(3). Determine v*l(f) - 4*k(f).\nAnswer: -2*f**2 - 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**3 - 17*f**2 - 10*f**2 + 4*f**2)*(0 + 2*f + 2 + 5) as y*f + x + o*f**4 + m*f**2 + b*f**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 683409 - 125*j**3 - 683409.\nAnswer: -125*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531.56 less than -0.8?\nAnswer: -1532.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 27455.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36.6 + -37. Let y = 22.7 - 22.8. What is the nearest to y in -0.5, -1.9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000925 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 8*x = 64. Suppose 4*w = -4, 4*i = 2*i - 3*w + 157. Calculate the highest common divisor of x and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 2:34 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 14, b: 4}. What is prob of sequence eebb?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -850 + 6791\/8. Calculate the common denominator of j and 19\/61.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 5:40 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -842, -233083, 5.\nAnswer: -233083, -842, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f - 95 = 37 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/5 of a decade?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**4\/9 + 389803*t**3\/9 - 5627614785*t**2 + 2193604848850025*t\/9 + 4387412294950750\/9 = 0.\nAnswer: -2, 129935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**(2\/5)\/t*t)*t)**(-2\/7))**37*(t\/(t\/t**(-1\/3)))**7*t*t**(-4\/3)*t**(-8) assuming t is positive.\nAnswer: t**(-4006\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + (-110)\/(-33). Suppose 0 = -2*t - 2 + h. Let q(s) = 2*s - 6. Let u(l) be the third derivative of -l**3\/6 - l**2. What is t*q(f) - 6*u(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 2*p - 1. What is the remainder when z(-4) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3236923.\nAnswer: 3236923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4 - 3071*o**3\/9 - 341444*o**2\/9 + 22000964*o\/9 - 4872208\/9 = 0. Calculate o.\nAnswer: -124, 2\/9, 47, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3593 = -2*h + 5*w, -6*h - 2*w + 5380 = -3*h. Calculate the common denominator of h\/(-660) - (-1)\/((-15)\/9) and (-2)\/1 + (-17)\/(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2133 by -3.\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 155868 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -162, 20\/9?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*u = -0*u + 30, -5*u = 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15*d**2 - 2*d. Let b(u) = -12*u**2 - 45*u**2 + 69*u - 14*u**2 - 90*u - 79*u**2. Calculate 2*b(l) - 21*g(l).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 928.6957 millilitres?\nAnswer: 0.9286957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.92 + 1.9. Put i, 3, 0 in increasing order.\nAnswer: i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Suppose o*f = -f + 88. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 101101010 (base 2) to base 14\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - c = 6, -2*l + c - 6 = 2. Let x = 1 + l. Let n(w) = -28*w**3 - w**2. Let k be n(x). Calculate the greatest common divisor of 18 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 11:09 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.5252 kilometers in centimeters?\nAnswer: 24352520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (245\/15)\/(-7)*3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6348000 and -79\/2360.\nAnswer: 374532000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(6\/7)*d**(-2))**(-11) assuming d is positive.\nAnswer: d**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 10*j**2 - 7*j - 8. Calculate the remainder when -2 - -53 - 4\/1 is divided by f(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l**2 - 2*l + 30. Let p be f(0). Suppose 248 = 3*u + 23. What is the greatest common divisor of u and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3035*j + 825*j + 265*j - 3314*j in the form u*j + b and give u.\nAnswer: -5259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2965.14 + -2965. Which is the biggest value? (a) 5 (b) -1\/2 (c) 2\/15 (d) -2 (e) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 558.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -29777, 4 in descending order.\nAnswer: 4, -24, -29777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/18)\/((-8)\/12). Sort -2, -2\/9, t in descending order.\nAnswer: t, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102*n - 281*n**3 + 282*n**3 + 250*n + 144 + 40*n**2.\nAnswer: (n + 2)**2*(n + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88427\/75 - 1179. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.133 times 0.1?\nAnswer: 0.8133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*i + 27 = 0, -i + 0 + 4 = 3*y. Let f = -13 + 22. What is the highest common divisor of y and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 53\/5 of a tonne?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) -0.3 (c) -62\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(162) + (sqrt(162) - (sqrt(162)*3 + 1)) - ((sqrt(2) + 2)*-1 + 2 + sqrt(128)))**2.\nAnswer: -513 - 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28917)\/(-6426))\/(1\/(-2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 43 + 17. Let t be 139 + n\/(2 + 1). Suppose -174 = -3*b + t. List the prime factors of b.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(2) + sqrt(8)\/sqrt(4)))\/sqrt(11)*1.\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.75 - -549.25. Let r = -551.6885 + u. Round r to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2095050450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - a - 31 = 0, 0*a = -4*a - 4. Suppose 0 = -4*c + q + 10. Suppose 9*u = c*u + 125. Solve -5*l = 2*o - u, -4*l + 19 = -5*o - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9897\/7 - -1029757\/728. Find the common denominator of 59\/65 and n.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 + m**2 + m + 1. Let i(l) = 16*l**3 + 30*l**2 + 28*l - 23. Let a(u) = -i(u) + 5*s(u). Determine a(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4599553257?\nAnswer: 3, 13, 2311, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 1732736?\nAnswer: -1732741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -187, -196, -205, -214, -223, -232?\n\"Answer: -9*h - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/36)\/((-19)\/(4104\/90))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o - 30. Let v be y(6). Solve d + 3*d - 24 = 4*u, 0 = -4*u - v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 388538110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x + 33*x**4 + 5*x - 32*x**4 + 109 + (-2*x**3 + 2*x - 2*x)*(-2*x + 3*x + 0*x).\nAnswer: -x**4 - x + 109","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 + 15110323051.\nAnswer: 15110323049.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -88*l + 86*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, -3, -2.8, -3\/4?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 26. Solve s*c - 13 = -3*y, -4*y - 5*c = 1 - 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2560 and 30332160?\nAnswer: 60664320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -74fe (base 16) in base 9?\nAnswer: -45067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*t - 86631 - 88572 + 57223 = -1256*t for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + -4. Let t = 18 + u. Let h be -1*2\/10*t. Which is bigger: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 412043*n**3 + 4*n**2 - 34*n + 564?\nAnswer: 2472258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13442 + -2345?\nAnswer: -20231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2 = 2. List the prime factors of 7\/(-14)*(m\/3 + -850).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-85)\/15 - (-4)\/6. Let r be (-14)\/(-4)*(-14)\/2058*7. What is the smallest value in 4, -2, g, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dd - -1?\nAnswer: -dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(21)*-1*1)\/sqrt(3) + 4 + -3*(sqrt(7) - (sqrt(98)\/sqrt(7))\/sqrt(2))*5)**2.\nAnswer: -6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17724533621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -23*l + 36. Which is the nearest to -0.09? (a) 2\/3 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 17 + 1579*w**2 - w**3 - 795*w**2 - 2 - 3 + 10*w - 791*w**2. Calculate k(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -21 (c) 0.06 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-44))\/(1\/11). Suppose -3*r + k*c = -35, -2*r + 3*r + 4*c = -7. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.31 times 0.4\nAnswer: 0.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -936153.\nAnswer: 1\/312051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.62 + -31.62. Which is greater: u or -3.02?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -61, -3, -95, 1 in decreasing order.\nAnswer: 1, 0, -3, -61, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + x**5 - 4*x**2 + 5*x**2 - 3*x**5 + (-4*x - x**4 + 4*x)*(-2 - 2*x + 2) - 43*x**5 + 289*x**5 + 1039*x**5.\nAnswer: 1285*x**5 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/17 or -38.788?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -185496 and -3.1.\nAnswer: 575037.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11555 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*4*((sqrt(272) - (-1 + sqrt(272))*-4)**2 - (-3 + sqrt(272) + 0)**2)*2*-2.\nAnswer: -13056*sqrt(17) + 627360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 151 - 1850.48.\nAnswer: -1699.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + c - 28 = 0, -6*y - 5*c = -4*y + 13. Let q(t) = t**3 - 30*t**2 - 171*t - 11. Let j be q(35). What is the tens digit of (-3)\/(6\/y + j\/234)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2625 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.44 to 0 decimal places.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1100.517366 and -26691?\nAnswer: 25590.482634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3060933 and 0.15.\nAnswer: 0.4560933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 - 0.433?\nAnswer: -84.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/28 - (-256)\/(-14). What is the units digit of ((-24)\/f)\/(8\/84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9720\/810)\/(((-30)\/16)\/(-5)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -2154648 and -84.\nAnswer: 180990432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 429\/27 + 9 + (-960)\/108. Let v(c) be the second derivative of 1\/12*c**4 + 0 + x*c + 0*c**2 + 0*c**3. Let k(h) = -22*h**2. Give k(v(w)).\nAnswer: -22*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide (4\/(-4) + 6)*4669\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -16.2. Let p = j - -7.8. Let q = -4 + p. What is the biggest value in q, -5, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -1703 - 169. Let u = x + 676. What is the highest common factor of u and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*d**4\/3 + 73*d**3\/6 + 35*d**2\/2 + 6*d = 0. Calculate d.\nAnswer: -3, -12\/7, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**3 + 9*n**2. Let r(l) = l**3 - l**2. Let u(w) = 3*w**2 + 49*w + 7. Let y be u(-17). Let s = y + -23. Determine s*r(z) + 2*j(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2. Let i(h) = 3866*h + 818*h - 1657*h + 601*h + 1724*h. What is i(v(t))?\nAnswer: 16056*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u = -3. Factor 2*d**2 - 2*d**u + 2*d**3 + d**3.\nAnswer: d**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/22119541?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n + 52*n - 8376 = -371*n - 220*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 131 = 4*b, 5*b - 13*r + 167 = -16*r. Let z be (-1)\/2 + (-17)\/b. Solve 0*t - o + 1 = -t, 4*t - 3*o - 1 = z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6541*o**3 - 14*o**2 + 5361*o**3 - 11897*o**3.\nAnswer: 5*o**3 - 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -768334, -768362, -768406, -768460, -768518, -768574?\nAnswer: -768622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.9 - 11.8. What is the second smallest value in -1\/2, -1, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 + 288411*l**2 + 2018840*l + 3460848 = 0 for l.\nAnswer: -288404, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3. Suppose 26*l = 31*l - 5. Suppose -2*n = l + x. What is the nearest to n in -5, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2416993, -2\/21, -1\/3, -2\/15?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -12, 2*i = 3*i - 2*l + 35. Let j = 61 + i. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -17*s**2 - 26*s + 36. Let l(o) = 11*o**2 + 17*o - 24. Let a(y) = 5*j(y) + 8*l(y). Let u be a(-5). What is the greatest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 18, 0.1, -1\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 4\/5, 16, 5\/8, 0.4 in decreasing order.\nAnswer: 16, 4\/5, 5\/8, 0.4, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/8 - -2)*2. Let x = 1.1 + -0.1. What is the nearest to x in 1\/3, a, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586263.3 millilitres to litres.\nAnswer: 586.2633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16.9, 0.3, -1, 25\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/(-32)*42\/45)\/((-6)\/135*-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = -3*s + 5, 0 = -2*p - 5*s + 1. Suppose 3*h = -p*b + 21, 3*b - 19 = -4*h + 2*b. Solve -h*f = -5*o + o - 16, -3*o - 2*f + 13 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13 - -1)*(-3)\/9. Which is smaller: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 5.6647?\nAnswer: -5.6647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 299*f**2 - 3*f + 192*f**2 - 3*f**3 - 5 + 105*f**2 in the form t*f**3 + o*f**4 + j*f + q + m*f**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 191119 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5 + 21*y**4 + 68*y**3 - 420*y**2 = 0.\nAnswer: -14, -10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*f - 2, 2*f - 4 = 2*g + 6*f. Let i(n) be the second derivative of 0 + g*n**2 + 1\/30*n**5 - 1\/9*n**3 + 0*n**4 - 2*n. Factor i(a).\nAnswer: 2*a*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2. Let s(p) = -6*p**2 - 2*p + 1. Suppose 3*f + 25 - 9 = -2*d, 0 = 5*f + 30. Determine d*s(k) + 2*j(k).\nAnswer: -4*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(18 + 897\/(-52))*1\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 26 = -25*r + 26*r, -2*r - g = -0*g - 43 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -459 - -839. Suppose 3*j - m = -2*j. Suppose -4*i + j = -4*w, w = -5*i + 5*w + 93. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4028 and -117\/50.\nAnswer: 100700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 32*l**2 - 38*l + 68.\nAnswer: 2*(l - 17)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4 - 9366*d**3 - 726072*d**2 + 6258656*d - 12817536 = 0?\nAnswer: -4604, -87, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 4*u. Let h(y) = -5*y**2 + 55*y + 162. Let c(v) = -3*f(v) - h(v). Let n(s) = -33*s - 81. Let g(b) = 3*c(b) - 5*n(b). Solve g(l) = 0 for l.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/264 and 73\/3?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 53085 divided by 17695\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11225 - 22025 = -70*h - 595*h for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -787.537 + 788. Let n = -0.463398 + c. What is n rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4395*h**2 - 35*h + 35*h.\nAnswer: -4395*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 2f8d?\nAnswer: -2f90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4623*o**3 - 5889*o**2 - 5*o - 10. Let r(i) = 2310*i**3 + 2945*i**2 + 3*i + 6. Let d(a) = -3*g(a) - 5*r(a). Find the third derivative of d(j) wrt j.\nAnswer: 13914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**2*b)**(-6\/5)\/(b**(-4\/9))**(-3\/8) assuming b is positive.\nAnswer: b**(-149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 25*b**2 - 187 + 92.\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 23*n = -16. Let w = -81 + -40. Let c = w + 253. What is the lowest common multiple of c and n?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*a = -148*a - 24. Find the second derivative of -2*m**3 - 2*m**5 - 763*m + 785*m + a*m**5 wrt m.\nAnswer: 40*m**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -56, -5032 in increasing order.\nAnswer: -5032, -56, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 8*q - 9. Solve 0 = -2*x - c + 6*c + 27, 10 = -5*x - q*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w + 150. Calculate the greatest common divisor of w and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**5 - 13*j**4 - 16*j**3 - 4*j**2.\nAnswer: -j**2*(j + 2)**2*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(1 + (-10)\/4). Suppose -n + 8 = 3*n - g, f*g + 17 = 5*n. Solve 5*y + 4*u = -n, 3*u - 4*u - 4 = 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19233 and 4887319?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 take away 4.214?\nAnswer: -4.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 14, 5, -4, 953, 7.\nAnswer: -4, -2, 4, 5, 7, 14, 953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9650 + 19618. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.062 - -0.062. What is the nearest to 1\/2 in z, 4, 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -442 + 432 - 2*-44.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -1. Suppose 309*j = 304*j + 15. Solve d - 2*f = -2*d + 6, -j*d + u = -f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -14\/1693, -131 in descending order.\nAnswer: -14\/1693, -41, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -71, -1, -2855?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0192, 3749, 0.1 in decreasing order.\nAnswer: 3749, 0.1, -0.0192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39 + -5 + (-1)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4433.\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and 0.0313.\nAnswer: -0.05008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m + 25. Determine d(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144 + -59. Suppose t = -7 + q. Let x = t - 52. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 978675256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/27)\/((-214)\/(-963))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -134 and -5481.122.\nAnswer: 734470.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 13. Let c(t) = 2*t + 7. Determine -11*c(h) - 6*y(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5*o + o - 296, 2*o + 232 = 4*x. Let w = 31 + x. Calculate the remainder when 184 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10187\/56210 + 3\/5110. Find z such that -12\/11 + 12\/11*z**2 - o*z + 2\/11*z**3 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*h - 167 = -3*d, 4*h - 368 = -5*d. Let p = 46 - d. Let v = 76 + p. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-1 + 9 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4176.003907 + 4176. Round v to four decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 258783 + -127836. Let n = 12553 + l. What is n rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, 0.3, 195, -1\/3, 284?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2. Let k(g) = -735449683*g. Calculate l(k(r)).\nAnswer: 540886236224800489*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k - 19*k + 7*k - 28*k + 6*k.\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-154)*6\/(-5)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2530 a factor of 39862680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.1 + -7. Let m = -1.58 - 0.42. Which is the closest to i? (a) -0.3 (b) m (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2294659190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 2\/9, 4\/9, 0.3 in ascending order.\nAnswer: -4\/9, 2\/9, 0.3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 179 - 173 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(28) + sqrt(1008) + sqrt(1008)*-1 - (sqrt(4032)*-1 - sqrt(28)))\/((sqrt(192)\/(sqrt(12)*-1))\/sqrt(4)))**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/((m\/(m*m\/(m**(-3\/5)*m)))\/m))**(3\/14) assuming m is positive.\nAnswer: m**(-81\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*i - 2016 = -111*i. Calculate the highest common divisor of i and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0 - (2565 + -1). Let p = d + 56343\/22. What is the common denominator of (-180)\/8*(-10)\/42 and p?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10. Let p(i) = 20*i - 53. What is -10*h(m) + 2*p(m)?\nAnswer: 40*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6154 + -1.3846. Sort -39, u, 10.\nAnswer: -39, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 - 2) + (16 - 18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7487484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.9 - 6.\nAnswer: 13.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40181 - -40176. Let s = -37 + 20. Sort s, a, -7, 2 in descending order.\nAnswer: 2, a, -7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1266 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -358*s**3*t**2 - 2*t**2 - 155 wrt s?\nAnswer: -1074*s**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n - 7 = -r + 22*n, -3*r + 9 = 5*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 7. Let j be f(-10). Let y = -11 - j. Suppose -h + 9 = y*h. Calculate the remainder when 8 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1157 - -1156. What is the third biggest value in n, 4, 12, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1279479 + -1750327415\/1368. Find the common denominator of r and 59\/8.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 37\/60, 2\/5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2132 divide 29358666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 11*l**2 + 8*l - 6. Let y be f(-10). Let o(q) = q**3 - 15*q**2 + 15*q - 3. List the prime factors of o(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8))**20 assuming a is positive.\nAnswer: a**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6871897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 7:30 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65560 is divided by 1296.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7782 (base 9) in base 10?\nAnswer: 5744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 4, 61, 1267 in ascending order.\nAnswer: -5, 1, 4, 61, 1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0*p**5 + 0*p**3 + 0*p**2 + 5*p - 1\/30*p**6 + 1\/4*p**4 + 0. What is the third derivative of m(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 326 - 54. What is the smallest common multiple of z\/12 - (-2)\/(-3) and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*n + 32 + 16. Let p be -7*(-2)\/(2 - 0). Sort p, n, -2 in ascending order.\nAnswer: n, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Let m(o) = o + 2. Let t(y) = -2*y**2 + 47. Let p be t(-5). Determine p*v(d) + m(d).\nAnswer: 4*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 3*t + 43 = -21*q, q - 15 = 7*t. Solve 5*o - 3*p - 20 = 0, 4*o + 3*p + q = 6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 190a2 + 1174?\nAnswer: 1a236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 7, y: 2, h: 8}. Give prob of picking 2 k.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24183796.\nAnswer: 2, 7, 13, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 50. Let x be (w + -1 + 1)\/(-4). Solve x = 2*d - 4*g + 18, 25 = -0*g + 5*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p + 20 = 0. Calculate the common denominator of 19\/(-18) + p\/90 and -59\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15460226 - 960226. What is l rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 192*c + 1509. Let m(b) = 289*b + 2264. Let t(n) = -8*g(n) + 5*m(n). What is the first derivative of t(x) wrt x?\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 4*i**2 - 3*i - 4. Let c(l) = -5 - 3*l**3 + 4*l**2 + 0*l**2 - 4*l + l**2. Let n = 21 - -10. Let r = n - 27. Give r*c(p) - 5*z(p).\nAnswer: -2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5831*h**3*z + 17*h**3 + 4*h wrt z.\nAnswer: 5831*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t - 1024296 = -43*t - 80*t. Does 42 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4522405719 - 295*q**2 + 4522405719.\nAnswer: -295*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -1)*(-56)\/(-224)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 6802 = 6610 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -9 - -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2484?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5576019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 19676 + 17974 = 0. List the prime factors of x.\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -18*x + 84. Let f be k(5). Let s be (f\/21)\/(120\/(-105)). Which is the closest to -0.1? (a) -2\/21 (b) s (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d*t**2 + 175*d - 907*t**3 + 14 wrt t.\nAnswer: -16*d*t - 2721*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7189662 less than 0.3?\nAnswer: 7189662.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 1\/24*z**4 - 1\/240*z**6 + 0*z**3 - z**2 + 0 + 0*z + 1\/120*z**5. Factor q(f).\nAnswer: -f*(f - 2)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -749, -1502, -2255?\n\"Answer: -753*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3344.5818 seconds?\nAnswer: 0.0387104375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4820*w + 5836 + 1376 = 45772 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*n = -10156 + 6754 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 8. Let f be t(-4). Put 2, -4, f in decreasing order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 295 = -b, -4*p - 15 = 5. Let s be 2\/5 - (-528)\/b. Suppose 3*t - 2*w + 3 = -3, -3*t - 15 = w. What is the third biggest value in s, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2300, -4?\nAnswer: -2300","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + 5 + -1*sqrt(612) + (sqrt(612) - (-6*(-2 + sqrt(612)) + sqrt(612))) + -4 + 2.\nAnswer: -7 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*i = 44 + 228, -i = 3*k - 212. Let p = k + -70. Solve 0 = -j + p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*z**2 - 60*z**2 - 28*z**2 - 2 + 2 - 2*z**2 + (0*z - 2*z + 0*z)*(3*z - 2*z + 0*z) as v*z**2 + l*z + d and give v.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2290901 centuries in decades?\nAnswer: 2.290901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184994745*b*x**3 - b*x**2 + 887*b*x - 67*b + 6*x + 1 wrt x.\nAnswer: -1109968470*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 5*r**5 + r**4 - 2*r**5 + 3*r**5 - 2*r**5 + (-r**4 - 3*r**2 + 3*r**2)*(3*r - 4*r + 2*r) + 1 - 2*r**5 + 385*r**3 - 383*r**3 - 3 - 276*r.\nAnswer: r**5 + 2*r**3 - 276*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 1, a: 1, f: 2, s: 1, n: 2}. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 45\/8, -1\/67, 0.5?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505216 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 177604127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - -58. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30504363 + 350?\nAnswer: -30504013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, s: 9, d: 2, i: 7}. What is prob of picking 1 h and 3 i?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -7*f**5\/5 + 3*f - 6. What is the first derivative of j(z) wrt z?\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 + 4*h + 15. Let x(z) = -2*z**2 - 2*z - 7. Let o(d) = 3*j(d) + 7*x(d). Let s(r) = -2*r**2 + 5*r + 7. Calculate 5*o(c) + 2*s(c).\nAnswer: c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + (-10 - (-22 + 15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3994?\nAnswer: 2, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 21. Suppose 3*b = -56*s + 57*s + 124, -3*b + 136 = 5*s. Suppose -6 = 2*o - b. Determine k(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 704234440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1228993*k - 1527294 wrt k?\nAnswer: -1228993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2825 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183886, 183890, 183904, 183934, 183986, 184066?\nAnswer: 184180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 24 = 4*k, 5 + 11 = -2*u + 4*k. Let b(q) = -q + 3. Let z be (-4)\/(-5) + 24\/120. Let a(l) = -z + 9 - 3 - 3. Calculate u*b(j) - 3*a(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7301, 29187, 65671, 116759, 182457, 262771, 357707, 467271?\nAnswer: 591469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 15 = -5*h. Let c be h\/(-18) + 1258\/12. What is the greatest common factor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18341 is divided by 4383.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.06 + -1. Let c = 0.03 - k. Let u = c + 0.0299999. What is u rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -148*r + 191. Is 11 a factor of i(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*l + 24, 0 = 4*n - 5*l + 2*l - 22. Let s = -201 - -295. Suppose o - s = -3*i, -2*o - n = -0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 6247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 18*z**2 + 16*z + 120.\nAnswer: 2*(z - 6)*(z - 5)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-14) + -4 + -3\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 8.36. Let t = 1.76 - c. Round t to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1459975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2492 = -11*j - f, -3*j + 852 = 3*f. Calculate the remainder when j is divided by 49.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/((l**(-2\/3)\/l)\/l))\/l)*l)\/(l*l**(-1\/3)))**(3\/32) assuming l is positive.\nAnswer: l**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trrtrrr. What is prob of sequence rttr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 5:35 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 0*n**2 - 1 + 2*n + 1\/4*n**4 + 0*n**3. Differentiate u(f) with respect to f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5463768 and 4518?\nAnswer: 16391304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 20*w**4 + 0*w + (w - w**2 - w)*(3 - 3 + 3*w**2).\nAnswer: -23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9139751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 (base 3) in base 9?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 511003796 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m - 5*m)*(14 + 4 + 22 + m).\nAnswer: -2*m**2 - 80*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5951 by -1073.\nAnswer: -5951\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -314.242 rounded to 1 dp?\nAnswer: -314.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f + 1 - 2*f + 7*f - 2*f. Let p(y) = -8*y + 6. Let c(m) = -12*j(m) + p(m). Is 14 a factor of c(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -11, 21, 87, 199, 369?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 5. Let f be w(8). Solve 4*z - 10 = -i - 0*z, -5*i + f*z = 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 529 = -543. Let a = -266 + j. Solve a*v = 5*f - 10 + 3, -29 = -5*v - 3*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z + 63. Let c(a) = -11*a + 127. Let r(t) = -t + 5. Let i be r(9). Let j(d) = i*c(d) + 9*m(d). What is the tens digit of j(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8691524 - -0.1?\nAnswer: 8691524.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/140 and -11\/35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76608 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(1 - 282\/281). Suppose -2*t - 95 + c = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + -0.36. Let t = q + 3.3. Let a = t - 2.99999895. What is a rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvovdovwvvd. What is prob of picking 1 o and 1 w?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2904606 and 1\/916218.\nAnswer: 136516482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1206 + 4201. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-4)*(-9 + -1). Let h be (-8)\/110*w\/(-14). Put 5, -2\/17, h in descending order.\nAnswer: 5, h, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29910 is divided by 43?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**15\/j*j*j**(4\/11))\/((j\/(j\/(j**8\/j)*j))\/((j\/j**(1\/2))\/j)) assuming j is positive.\nAnswer: j**(195\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-9)\/108). Let t(s) = -s**3 - 5*s**2 - 5*s - 3. Let b(a) = -a**3 - 5*a**2 - 5*a - 3. Let y(z) = r*b(z) + 5*t(z). Determine y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*d = 3*q - 3, 0 = -4*d + 4. Put q, -5, 4 in decreasing order.\nAnswer: 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 6\/8434523?\nAnswer: 6\/8434523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 at least as big as 2703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*u + 1661 = -87*u. What is the remainder when u is divided by 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*s + 33 = 2*s, 149*x - 75*x - 3*s = 78*x + 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 66*k - 1072. Let i be a(-28). Sort -46, -1, -5, -3, i in ascending order.\nAnswer: -46, i, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s + 1. Suppose 3*o + 264 - 324 = 0. Suppose -15*d - 65 + o = 0. Let x(m) = 4*m + 1. What is d*b(r) + 2*x(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -31*j + 1\/9*j**2 + 1\/108*j**4 + 1\/18*j**3 + 0. Let i(y) = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15000, 14992, 14982, 14970, 14956, 14940?\n\"Answer: -r**2 - 5*r + 15006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0)\/(150\/45*9). Let a(g) be the second derivative of 0 + 0*g**2 + r*g**3 + 1\/15*g**4 - 6*g + 1\/50*g**5. Factor a(n).\nAnswer: 2*n*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:38 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 823 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 15 = -4*b. Let g = b - 7. Let o be (5\/(-3))\/(1\/(-9)). Solve 3*x + o = g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121435173 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6) + 1)\/((-42)\/(-126)). Solve -2*p - 3*c = 9, 5*c - 4*c - 14 = r*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (412*v**2 - 1458*v + 1458*v)*(3 - 2 + 1)*(2 + 7 + 5) to the form c*v + b*v**2 + w and give b.\nAnswer: 11536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) + (-348)\/18. Let v = c - -78. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -107*b. Let r be x(1). Let f = -45 - r. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*h - 20*h**2 + 101*h - 195*h.\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*a**2 + 24 + 2*a**2 - 21 - 3 to c*a**2 + s + b*a and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.11 (b) -442 (c) 1\/8 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 29*x = 5871735. Round x to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 27016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n + n**2 + 13*n - 7*n. Let a(d) = -2*d. What is q(a(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*s**2 - 16\/11*s + 14\/11.\nAnswer: 2*(s - 7)*(s - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(((-108)\/(-12))\/90)\/((-6)\/(-10))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2\/9, -0.1, -7, -3\/8.\nAnswer: -9, -7, -3\/8, -2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 1 k when three letters picked without replacement from ddkjjjdykyjj.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -q + 8, 0 = 4*o - o - q - 10. Suppose -12 = -4*v, -2*v = o*m - 3*v - 15. Calculate the remainder when 15 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 898, 783, 654, 505, 330, 123, -122, -411?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-80)\/12 + -4*(-2)\/12. Put 3, i, 2, 1 in increasing order.\nAnswer: i, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 66, -6, -389, 2 in decreasing order.\nAnswer: 66, 4, 2, -6, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 2168*v - 89526.\nAnswer: -2*(v + 43)*(v + 1041)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 14. Let n be w\/8 - (-57)\/12. Determine g, given that 5 + g**n + g**5 + 0 - 5 - 2*g**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5040 - -5057. Solve -7*x + 2*x - 3*b - 7 = 0, -3*x - 5*b = n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t + 0*t**2 - 2*t**2 + 10*t - 2*t**2 + 8*t in the form q*t**2 + b + f*t and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:55 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -90965 (base 14) in base 2?\nAnswer: -1010100110111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 246, 900, 1996, 3540, 5538, 7996, 10920, 14316?\n\"Answer: n**3 + 215*n**2 + 2*n + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 2*c**2 + 4*c. Let s be i(3). Let o be (-62)\/(-66) - (-42)\/693. Solve s*g + o = v, 0 = 3*g - 0*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1478 - 2271 - 1459 = 217*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 16) to base 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from nkkktkntkkkkkk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 123591792 a multiple of 645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r)**(-50)*(((r*r*r**(-2\/3)\/r*r)\/r)\/r)**(-39) assuming r is positive.\nAnswer: r**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6*(-4 + 349). Let v = 198 - i. Let w(m) = -4*m**2 - 284*m + 28. Calculate the remainder when v is divided by w(-71).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 1\/57*g**4 + 2\/57*g**5 - 11\/1140*g**6 + 0*g**3 + 0*g + 2*g**2 + 0. Let k(h) = 0. Calculate h.\nAnswer: -2\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83746 - 33441. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r\/((r**(2\/3)*r*r)\/r*r)))*r)**(-1\/71)*((((r*(r*r*r**(1\/8)*r)\/r*r)\/r*r)\/r)\/r)\/r*r\/(r*r**(-4)) assuming r is positive.\nAnswer: r**(8725\/1704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 6277 (c) 0.1 (d) 0.5 (e) 0 (f) 2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19445 * 5.\nAnswer: 0.97225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0196 - -0.019803. Round r to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**7\/840 - k**5\/60 - k**3\/3 - 2*k. Let w(z) be the second derivative of u(z). What is the second derivative of w(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 8*p + 5*l - 14, -2*p + 4*l + 32 = 0. Suppose 5*a + 19 = -4*r + 5*r, -5*r - 5*a = -5. What is the smallest common multiple of r and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -4*j - 60. Suppose j = 7*n - 3*n. Suppose 9 = 5*h - 6. Solve 3*r - n = 5*r + p, 0 = -4*r - h*p - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 112.8222ns?\nAnswer: 0.0000001128222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 3. Let r(i) be the second derivative of -i**3\/6 - i**2\/2 + 12*i. Determine -2*b(t) + 5*r(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r - 5. Let u(a) = 2*a**2 + a + 6. Determine -4*u(z) - 5*w(z).\nAnswer: -3*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**4\/8 - 21*z**2. Let f(i) = -i**2. What is f(o(g))?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -7\/24*t**4 + 0*t**3 + 0 - 13*t**2 + 0*t. Let g(r) be the first derivative of -2*r**3 - 14. Calculate g(b(f)).\nAnswer: -294*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*l = -76*l + 46*l - 4515 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 19306?\nAnswer: 231672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 20*b - 31. Calculate the lowest common multiple of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 1 + -12 + 0. Let t = 11 + q. Is 21 a factor of -3 + 0 + t - -105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288885 and 15580?\nAnswer: 900165660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 32, 5, -5, -3 in descending order.\nAnswer: 32, 5, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -995 + 1035. Let d be (-5)\/(5\/84)*-1. Let u = -60 + d. Calculate the smallest common multiple of u and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -7*f**4\/24 - f**3\/6 - 2*f**2. Let d be q(-1). Suppose -3*z - 132 = -d*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 3*j - 12, -7*j + 68 = 26 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8*q - 528 = 0. Let h = -72 + q. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138681 (base 13) to base 16\nAnswer: 74217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 87\/20, -0.2, 0.55 in descending order.\nAnswer: 87\/20, 3\/2, 0.55, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:25 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/((q\/(q*(q**21\/q)\/q*q*q))\/q))**(7\/2)*q*q*q*(q*q*q**(-2\/13)*q)\/q*(q*q*q*q\/(q**(-34)\/q))\/q assuming q is positive.\nAnswer: q**(3389\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 902 and 574?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1649 + 1715 = -c. Are -197\/3 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33\/7 in 6\/19, 53\/29, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209682 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19380 and 2805?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*m**5 + 4828*m**4 - m**3 + 355481*m**2 + 1?\nAnswer: -1140*m**2 + 115872*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.090664 and -1941.6.\nAnswer: -1941.690664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + 5 - (4 + -4 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9*m + 1972 = 0. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = -16*u + 4*t + 13, -3 = -u + t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/571 at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**6\/75 - o**5\/10 + 4*o**4\/15 - 4*o**3\/15 - 74*o. Factor w(g).\nAnswer: 2*g*(g - 2)**2*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - x - 327 = 0, 3*x - 360 = -5*t + 1323. Solve 338*l - t*l - 15 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-26)*3510\/810. Sort -9, r, 0.3, -0.08 in descending order.\nAnswer: r, 0.3, -0.08, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.03 (b) 2\/3 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 2*q - 14. Let v be d(-5). Suppose 0 = 4*a - 2 + 18. What is the biggest value in a, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-108)\/51 - 24789891\/(-2040). Let c = j + -12150. Find the common denominator of -37\/60 and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-33)\/(-15))*(-6 - (-68)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31245, 31178, 31067, 30912, 30713?\nAnswer: 30470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36974, 73948, 110922?\nAnswer: 147896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k = -4*n - 895, -3*n = 5*k - 895. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154832960*q**3 - 130507596*q wrt q?\nAnswer: -928997760*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5 - 4. Sort 4, r, 0 in decreasing order.\nAnswer: 4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 46.9. Let x = -16 - t. Let f = x + -28.99999918. What is f rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -61\/2. Let f(z) = -z - 5. Let b be f(-13). Let r(c) = c - 8. Let p be r(b). Sort q, p, -1 in descending order.\nAnswer: p, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 680222377 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 43510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4\/7 (c) -0.12 (d) -16 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -62ab46 (base 13) to base 15\nAnswer: -30912c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*r - 8 + 266, 814 = -3*m - 4*r. Let w = 928 + m. Round w to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.69 * 2129.7.\nAnswer: -73879.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let r(d) = 5101090*d**2. What is r(p(g))?\nAnswer: 5101090*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:56 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, k: 8}. What is prob of sequence krkk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -23*z**2 - 4*z - 1. Give f(2).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -0.2 (b) -6 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**3\/5 - 27*j**2\/10 - 19. Solve a(z) = 0 for z.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) + 22\/30. Let x(m) = -m**3 + m**2 + 2*m + 1. Let v be x(-1). Let i be (v\/14)\/((-3)\/4). What is the second biggest value in -0.3, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24342, 66602, 108860, 151116?\n\"Answer: -o**2 + 42263*o - 17920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8873 - -8889. Calculate the lowest common multiple of 112 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677 + 272 = 73*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 20992255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 385723955 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 3\/2, 0, 0.26, 4\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5. Let w(t) be the third derivative of t**6\/120 - t**5\/15 - t**4\/6 + 2*t**2. Does 5 divide w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -793 + 998. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75.4 + 76.4. Let o(l) = -l - 7. Let w be o(-7). Which is the closest to m? (a) 2\/7 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n - 3. Let a(t) = 3*t**3 + t**2 - 2*t + 1. Let w be a(1). What are the prime factors of d(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 1, u: 2, f: 1}. What is prob of picking 1 u, 1 f, and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153 - -519. Suppose -g + 0*g + x = 0. What is the units digit of 1\/(-7) - g\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.684369 nanometers to meters.\nAnswer: 0.000000000684369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*u = -4*u + 1205, -3*x - 904 = u. Let d = x - -430. List the prime factors of d.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 517 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:05 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36178 + 40610. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8510.943l in millilitres?\nAnswer: 8510943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30599, -30670, -30741, -30812, -30883?\n\"Answer: -71*w - 30528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3333 + -3329. What is the nearest to 12 in 25, v, 1\/5, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103013\/4 or 25754?\nAnswer: 103013\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 15038.\nAnswer: 481216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37985182*a**4*z + a**2*z**2 - a*z**2 - 8*a*z + 10*a - 187805*z**2 wrt a.\nAnswer: 455822184*a**2*z + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13501.132 rounded to the nearest 100?\nAnswer: -13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75c368 + 3?\nAnswer: -75c365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 75 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1615, 1619, 1637, 1675, 1739, 1835, 1969?\nAnswer: 2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(972)*-1 + sqrt(972) + sqrt(972)))\/(sqrt(594)\/(sqrt(44)\/sqrt(4))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - k - 5 = 0, -z + 5*k = 2*k - 10. Let p = 61 - 57. Which is the smallest value? (a) p (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1769 + 234. Let u = 935 + r. Round u to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52415829*m + 3872 = 52415653*m for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 1. Let m(x) = -10*x - 12. Let q(l) = -b(l) + m(l). What is the derivative of q(i) wrt i?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251900864?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 10. Suppose -4*a - 2*z + 32 = 2*z, a - 5*z + j = 0. Suppose 69*x - 74*x + 5 = 0. What is the least common multiple of x and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*w + 12, -2*h = w - 3 - 1. Suppose k - 3*k + 666 = h. Let t = 483 - k. What is t rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 1 - 4)*(-14)\/8. Let t(m) = -2*m + 4. What is t(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/15)\/((-18)\/(-180))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.4 - 72?\nAnswer: -122.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -4. Let p = 0.12 + 5.88. Let n = i + p. Sort 2, n, -2\/9 in decreasing order.\nAnswer: 2, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5319805?\nAnswer: 5, 1063961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.18 and 0.3?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47327*v**2 - 347*v - 51196434 wrt v?\nAnswer: -94654*v - 347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j + 4. Determine g(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17015.\nAnswer: 5, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 113*h + 1333 + 303 + 7882 for h.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23 times 0.5\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + 0.3. Let b = 820841\/547226 - 1\/273613. What is the closest to t in b, -7, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.253 to two dps.\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(425) + 4 + 1 + 1 + sqrt(425).\nAnswer: 6 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 14*s**2 - 7*s - 26. Let f be j(6). Put f, -696, 6 in descending order.\nAnswer: 6, f, -696","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2089295.\nAnswer: 5, 13, 32143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -4.2254\nAnswer: 2.53524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 4. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 111 and 1452\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5)\/(l*l\/l**(16\/7)) assuming l is positive.\nAnswer: l**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 7585619*m\/3 - 5057078.\nAnswer: -(m - 7585617)*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = 3*q, -15 = -5*q + 3*n + 4. Let b(r) = 4*r**2 + 3*r + 2. Calculate the least common multiple of b(-2) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(405) - sqrt(405))*2)**2 + -4 - ((sqrt(320) - (-1 + sqrt(320))) + sqrt(5) + sqrt(25)\/sqrt(5) + -2))*-4.\nAnswer: 12 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 1228*s + 182493. What is c(-1362)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 12:22 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 59, -4, 762?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/11 and -117\/110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from jrrrjr.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5410660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 819 - 7375\/9. Which is the biggest value? (a) -1 (b) o (c) 1 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.4, 2\/121, -1\/28, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 24*v**3 - 4*v**2 + 4*v + 4. Suppose -5*p + 40 = 4*k, 0 = -7*p - p + k + 27. Let j(q) = -q**3 - q**2 + q + 1. What is p*j(b) - c(b)?\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -265, -1072, -2419, -4306, -6733, -9700, -13207?\n\"Answer: -270*u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + (-94)\/18)*-9. Suppose -6*k = l*k. Suppose k = -s + 18. Solve -3*o - s = -3*j, 3*j - 22 = -j + 3*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 16*i - 778. Give y(47).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1261 + -1260. Let l = 1.53 + 0.17. Let d = -11.7 + l. What is the third biggest value in p, -2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671826 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-2))\/(2 + -1). Suppose -9 = -h*b + 6. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 47*s**2. Let d(g) = -5*g + 2. Let p(q) = -2*q + 1. Let k be -3 + (-2)\/3*30\/(-4). Let n(j) = k*p(j) - d(j). Determine n(z(x)).\nAnswer: 47*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 8*f**2 + 21*f + 31. What is a(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16017 + -0.12.\nAnswer: -16017.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/120 and -109\/1789890?\nAnswer: 7159560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261733.\nAnswer: 31, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.48 + 0.28. Is 2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 258\/(-3654) - (-2)\/6. Let a = f - -2\/87. Find o such that -a*o**3 - 2\/7*o + 4\/7*o**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*k**2 - 44*k**2 - 44*k**2 - 10*k**3 - 2*k**3 in the form y*k**3 + j*k**2 + s*k + f and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 19, -2, -23, -20, -8, 2 in ascending order.\nAnswer: -23, -20, -8, -5, -2, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - -57. What are the prime factors of i?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -58*p + 32. Let o be m(-3). Let s(b) = b**3 + 11*b**2 + 9*b - 2. Let v be s(-8). Let k = o - v. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6812\/393*12\/64*-4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)\/p*p**(2\/13) assuming p is positive.\nAnswer: p**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 21*f = -19*f + 40*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71 and 1917.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -8.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9093943, -9093950, -9093961, -9093976, -9093995, -9094018?\nAnswer: -9094045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 47, 72, 97, 122, 147?\n\"Answer: 25*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 519052, 519064, 519098, 519166, 519280, 519452, 519694, 520018?\n\"Answer: 2*h**3 - h**2 + h + 519050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.931 + -162.088. Let f = y - -0.157. Let q = 133.9 + f. What is the biggest value in 4, q, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3798 and -5068.\nAnswer: -1270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6062126*b*h - 68822221*b - 4*h wrt h?\nAnswer: 6062126*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 25*a - 26. Suppose 0 = -31*l + 48*l - 102. Is j(l) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 = -9, -4*c - 1 = 3*x. Suppose 0 = 5*f - 3 - c. Which is greater: f or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -113?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 - (-116)\/14. Let t = -6 + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**3 - 166*y**2 + 332*y - 1. Calculate f(2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 156, 147, 138, 129, 120, 111?\n\"Answer: -9*i + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8 = a. Let o be (4*1*1)\/a. Let j = -5 + 10. Solve -2*w - 15 = o*z - 3, -j*w - 4*z = 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ba428 + 5?\nAnswer: -ba423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 272915 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/31544086 and 107\/262430.\nAnswer: 157720430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*g + 2180 = -278 - 1646 + 7 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17290\/3276*18\/76?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, o: 1, d: 1, f: 5, n: 5, t: 1}. Give prob of picking 2 n, 1 f, and 1 t.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = v. Suppose 4*l - 4 = 2*j, -21 = -v*j - 2*l - l. What is the third derivative of j*i**2 - 1 + 1 + 2*i**3 - i**3 wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from bibbbbbbiib?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 644 and 672014.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -499731 + 2758.\nAnswer: -496973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 5*z - 3. Let y be x(5). Let l = 5 + y. What is the derivative of -2*t**3 + 10*t - l - 10*t wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02557936 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 18. Suppose l*r + 2*n - 21 = -3*r, 5*n + 10 = 0. Sort r, -2, -4.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5363 + -2118387\/395. Does y = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1154 and 49706819.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q - 3. What is i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.1, 5, -1\/4.\nAnswer: -1\/4, 0, 1.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(6\/20)\/(3\/8). Let o = 3 + 6. Solve m*r + o = 4*t - 3, -2*r = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/sqrt(7))\/sqrt(2).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 2:55 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23908, 95667, 215266, 382705?\nAnswer: 597984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*h + h. Let n be (15\/4)\/(h\/(-8)). Solve 0 = 3*a + n + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36372 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -132385, -260945, -389517, -518107, -646721, -775365?\n\"Answer: -h**3 - 128553*h - 3831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 1:15 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29828 + 50588. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:55 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 5*b**2 + 0*b**2)*(-2*b**2 + b**2 + 0*b**2)*(-4 + 0 + 1)*(-1 + 0 - 4).\nAnswer: 30*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2607829 and 686?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 253?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from llzpwev?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -50\/671?\nAnswer: -50\/671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - 40 - (8 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-717426)\/27)\/(2\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (51\/2)\/(1 - -14) and -76\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -25, i - 190 = 6*z - z. Let t = -31 - z. Solve -3*j = -t*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203577?\nAnswer: 3, 11, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944942767?\nAnswer: 944942767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 16. Suppose 0 = -2*b - 0*b - w. Put b, -1, 5 in descending order.\nAnswer: 5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15292, 30007, 44210, 57901, 71080, 83747?\nAnswer: 95902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 84677, 83465, 82251, 81035?\n\"Answer: -z**2 - 1209*z + 85887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17178, -16797, -16164, -15279, -14142?\n\"Answer: 126*h**2 + 3*h - 17307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2955096\/305 or -9690?\nAnswer: -9690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beee when four letters picked without replacement from bbbbebbebbebbbbb.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 p when four letters picked without replacement from {p: 7, u: 6}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Suppose -h - f = -4. Is 7 a factor of (h + 0 - 22)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028 a factor of 18629416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkkkkkjkjj. What is prob of picking 1 j and 3 k?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 330578 (b) 2\/13 (c) 4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 4, 21, 2.\nAnswer: 2\/5, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 - 12*j**3 + 12*j**2 + 44*j + 24 = 0. What is j?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 119\/102*39954\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20936204?\nAnswer: 2, 127, 41213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:49 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.9 - 13. Sort -5\/3, -5\/6, s in descending order.\nAnswer: s, -5\/6, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7083*q = 7082*q - 2*s + 2, 2*s - 29 = 3*q + s for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0481 and -3.59.\nAnswer: -3.5419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57329983.\nAnswer: 37, 1549459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.33?\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*m + 4*x - 2, -2*x - 4 = 0. Suppose -3*p = 5*u - 247, 3*p - 457 = -m*p + 3*u. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) - 36\/(-24). Solve -20 = -w*k - 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*f**2 + 133 - 133)*(1 - 1 + f).\nAnswer: -51*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n - 22 = 10*n - 610 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 3*i + 7*i + 0*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 3*r - 2520 = 0. Is (-128)\/3*(9 - r\/(-20)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8686 and 36464.\nAnswer: 3682864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14032 - 14031. Let n(b) = -2*b + 12. Let a be n(5). Solve -3*p + a = -5*u + 9, -5*p - w = -3*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 2. Let k(y) = -1. Let q(u) = 2*k(u) - m(u). Let j(t) = -3*t**2 + 2*t**2 - 3*t**2 - t**2. Calculate j(q(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 72*t - 2302. Let r be z(32). Solve 0 = 2*h - r*g, -g - g - 20 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 = -13. Let b = -13 - -26. Is v greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20836311 at most -20836311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 - -8.93. Let u = j - 2. Let k = -7 + u. Which is bigger: 5 or k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149863117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 12 = -3*w. Let x be -3*(-1 - 8\/(-18)). Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25 + -21 + -3*1. Let f = s - 3\/4. Is 7 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 483 = 14. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:33 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/867*-17*1*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-49)*((-260)\/(-25))\/(-13))\/(140\/(-980))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 13*j**2 + 13*j + 16. What is the remainder when 4 is divided by p(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.72 (b) 0.4043 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -16. Let q = -11 + j. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.03 (b) 6\/7 (c) 0.07669 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-3*s + 0*s + 4*s + 2) to x*s + c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*r**4 - 1487*g + 759*r wrt r?\nAnswer: -8*g*r**3 + 759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -233680, -233185, -232686, -232183, -231676, -231165, -230650?\n\"Answer: 2*j**2 + 489*j - 234171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1630, -7744, -17934, -32200, -50542?\nAnswer: -72960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + 4 + -4.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 5*g - 15*g + 14)*(-3*g**4 + 11*g**4 + 72*g**4).\nAnswer: -800*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336784.6ms to microseconds.\nAnswer: 336784600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.013 + -2.987. Let z be 1 + (-2)\/(78\/33). Which is bigger: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**4\/12 - 52*f**3\/9 - f**2\/6 + 52*f\/3 - 1027. Factor h(o).\nAnswer: (o - 52)*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 1022?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -23*c**2 - 15*c + 4. Let l(a) = 4*a**2 + 2*a. Let q(k) = b(k) + 6*l(k). Let x(w) = -w**2 - w - 1. Determine -q(h) - 2*x(h).\nAnswer: h**2 + 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p = -46*p + 1. Suppose 243 = -0*h - 3*h. Let g = p - h. What are the prime factors of g?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/4, -0.04688, 4 in decreasing order.\nAnswer: 4, 0.1, -0.04688, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621300.\nAnswer: 2, 3, 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.337 not equal to -19\/425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-7)*15\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 66 = -13*o. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 9317444.\nAnswer: 46587220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 10, -155, -3, -67, 4 in descending order.\nAnswer: 10, 4, -3, -4, -5, -67, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16050*n**2 + 5359*n**2 + 5369*n**2 + 1 + 5356*n**2 - 1.\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*j + 2*p - 3*p, -4 = -4*p. Let c(o) = o**3 + o**2 + 6*o - 299. Let f be c(0). What is the least common multiple of 115\/13 + (-46)\/f and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(7*i - 3*i - 2*i + (5*i - i - 5*i)*(10 - 14 + 8) - 2 + 2 + i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*z - 24 - 5 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 769.23642 - -460?\nAnswer: 1229.23642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 14 + 11 + -19?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 137012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 25*x - 9. Determine y(-3).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3095\/91 + -237\/7. What is the third biggest value in 1\/10, -8\/7, p?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*d**2*n**2 + 24*d**2*n + d**2 + 92*d*n**3 + 3*n**3 + 3*n**2 - n - 660 wrt n.\nAnswer: 26*d**2 + 552*d*n + 18*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -190*f + 9. Let d = -77 + 72. Is m(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/3))**44)**(-8)\/((q*q*q\/q**2)**(-2))**(-6\/19) assuming q is positive.\nAnswer: q**(-26788\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**2 + 24*v - 24. Let p(x) = -x + 1. Let k(l) = -i(l) - 24*p(l). Let d(w) = -w**2. Determine d(k(z)).\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14775 and 376467?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 15 (c) 13\/23 (d) -1\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 2\/211 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(88)\/sqrt(32))**2 - sqrt(11) - sqrt(11)) + -1.\nAnswer: -sqrt(11) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 3*y. Let q(p) be the third derivative of p**6\/60 + p**4\/12 + 56*p**2 - 4*p. Determine -2*g(h) - 3*q(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 149393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 4592.\nAnswer: 137.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138 - -138. Suppose -2*a + 4*x = -46, s = -5*a + 5*x - 4 + 124. Calculate the greatest common divisor of 100 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (6 + -1) - (15 + -28)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.499 times 227\nAnswer: 113.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/28)\/(4\/(-6))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146242220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 6*g - 18. Suppose -4*a - t + g = a, -t - 14 = -3*a. Let l be (a\/10 - 1)\/1. Is l greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 6:39 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pznz when four letters picked without replacement from {z: 2, n: 1, h: 1, p: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 11. Suppose -m + z = 1. 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: Suppose -28*n**3 - 332*n**2 + 416*n + 720 = 0. What is n?\nAnswer: -90\/7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 5*m**4\/6 - m. Suppose -5*y = b - 185, 5*y - 9*y - 3*b = -148. Calculate the remainder when y is divided by a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103095, 206200, 309305, 412410?\nAnswer: 515515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5793 = -1185*h - 1722 + 7779 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, and 2 j when four letters picked without replacement from {y: 1, j: 5, s: 3}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.6. Let p = -11.02 - -10.02. Which is the nearest to p? (a) -4 (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(125) - sqrt(125)*1) + sqrt(125))**2*2 - (sqrt(125) + -4)*3) + -2).\nAnswer: -60*sqrt(5) + 1040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171 + -161. Calculate the smallest common multiple of d and 162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:11 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let x = -37 + 34. What is the second biggest value in b, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + (-40)\/(-12). Suppose -2*a - a + 2*n = -9, -3*a - m*n + 24 = 0. Suppose -a*p = 4*z - 417, -2*z + 94 = 3*p - 115. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433136071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.41*3.1358\nAnswer: -1.285678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 69*c - 138. Let k be j(2). Solve k = 114*s - 119*s + 30 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + m - 3. Let y(d) = -2*d**2 + d - 4. Determine -3*t(s) + 2*y(s).\nAnswer: 2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47)\/(-47))\/((26\/117)\/(10\/3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 3*m - 10. List the prime factors of h(-11).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 951*j**2 - 365*j**2 - 215*j**2 - 368*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/(-100))\/(3\/(-8))*(-45)\/(-390)*13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 484*y**2 + 778*y**3 + 1619*y - 3246*y + 1627*y wrt y.\nAnswer: 4668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 17*z. Let g(v) = -v**2. What is x(g(q))?\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120001 (base 3) in base 10?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o**3 - 135*o**2 + 245*o + 545*o - 46*o + 360 + 106*o = 0 for o.\nAnswer: -9, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -451861 and 281241?\nAnswer: 733102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.38, 0.2, 4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 10*f. Let p(s) = s**2 - 2*s. Let u(t) = 2*l(t) + 10*p(t). Let v(c) = 3*c - 2. Determine v(u(d)).\nAnswer: 6*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and -6\/139 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -15*l**2 + 2*l - 3. Determine n(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -657\/8 in -1, 1\/5, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 18*t**2 + 88*t + 9. Calculate the remainder when h(7) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/(-60))\/(3\/9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1313, -2630, -3947?\nAnswer: -5264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 9*r + 72. Calculate the remainder when 51 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:05 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.25860523 rounded to one decimal place?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 540959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3170*x - 1576*x = -1421*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17717983*q**4 + 17864058*q wrt q.\nAnswer: -212615796*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -202 + 133. Let q = t + 113. Calculate the remainder when q is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -14) + (-14 - 24).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 5*n - 4, 4*v - 4*n = -0*n - 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1277 (b) 0.1089 (c) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46a26 (base 11) to base 7.\nAnswer: 401430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, y: 2, j: 3, w: 1}. Give prob of picking 1 y and 2 j.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8184 - 122\nAnswer: -8306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 886 and 318842.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6528132 divided by -41847?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140323 = -u + 2*m, -2*m + 33707 - 314347 = -2*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from {d: 1, a: 1, t: 18}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26813488?\nAnswer: 2, 13, 17, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/(l*l*l*l**(1\/44)\/l*l)*((l\/(l**(2\/83)\/l))\/l*l)**(-6))**(-49) assuming l is positive.\nAnswer: l**(2662415\/3652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -26504\nAnswer: -1\/26504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - -216?\nAnswer: 22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7366 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 182 = -5*m, -298 = -3*d - 2*d + 3*m. Let h = -50 + d. Suppose h*s = 8*s + 3. Solve 5*p + s*j = 13 + 6, 0 = 2*j + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(2 - 3 + 2)*(-11*z**4 - 96 + 96).\nAnswer: -11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -71*o**4\/24 - 117*o**3 - 3*o**2 + 202. Determine a(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -581*k**2 - 61*k + 4. Let c(h) = -581*h**2 - 51*h + 3. Calculate -6*c(g) + 5*d(g).\nAnswer: 581*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4378400?\nAnswer: 2, 5, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**4\/2 + 75090*t**3 + 1051465*t**2\/2 + 600900*t - 1201720 = 0. What is t?\nAnswer: -4, 1, 30043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/1973 (b) 0 (c) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 3:29 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*n - 21*n + 32. Suppose 18*j - 20*j + 370 = 0. Let w = -107 + j. Calculate the remainder when w is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 4*w + 3*w, -138 = -309254*w + 309277*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55.37006647 + 55.37. Round s to 6 decimal places.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqijiiiiqj. What is prob of picking 1 q and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + (-726)\/4)*2. Let j = v - -357. Solve -f + t - 6 = 0, -5*t = 3*f - 26 + j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8457535 by 135.\nAnswer: -1691507\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 3*z**2 + 2*z. Let k be g(-2). Let f = -24.99 + 25. Let y = f - 1.01. Which is the nearest to k? (a) y (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -27. Is 2\/3*1239\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3578 - 3576. Which is the third biggest value? (a) 13 (b) -1 (c) 1\/6 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o. Let g(y) = 9*y**2 + 10*y + 7239. What is h(g(w))?\nAnswer: 54*w**2 + 60*w + 43434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 23803.\nAnswer: 23\/23803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 42837*k**2 - 10*k - 10*k**4 + k**3 + 12*k + 42850*k**2 as w + t*k**2 + v*k + h*k**3 + l*k**4 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/(-4))\/((-1)\/2). Suppose g*d + 5 = 2*d. Let p(c) = 8*c**2 + 2*c + 1. Calculate p(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 - (-838 - -838)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + d)*(223 - 223 - 43*d)*(0*d + 3*d - 5*d)*(-3 - 2 + 2).\nAnswer: -258*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552947?\nAnswer: 3, 11, 47059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s - 36. Let m be i(-10). Suppose -5*b - m*f - 10089 = -10*b, 0 = 3*b - 2*f - 6055. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -675610?\nAnswer: -675610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 4*s - 12. Let t be k(-6). What is the tens digit of ((-104)\/78)\/(t + 3\/(-63))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -28, -5 in descending order.\nAnswer: 17, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 249, 957, 2077, 3561, 5361, 7429, 9717?\n\"Answer: -8*k**3 + 254*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21088\/20 + 8\/(-60)*3. Calculate the greatest common factor of t and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 3*v**2 - 2*v + 2. Let t be o(3). What is the highest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-4)*152\/95. Let a = c + -33. Let n = 45 + a. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (2 - (4 + 1 - (49 + -47)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*r - 2*l, -2*l - 18 = -5*r + 11. Let q(u) = u**3 - 7*u**2 + 11*u + 17. Calculate the remainder when 153 is divided by q(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(3) - (sqrt(75) + 2))**2 + 2 + sqrt(3) + 0 + sqrt(3) + -2*sqrt(192).\nAnswer: 2*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*p - 5*l, 5*l + 34 = p - 1. Suppose -3*h - 6 = -6*h. Suppose -h*b - 47 = -159. Calculate the remainder when b is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285587 is divided by 123.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-212))\/11*6*20\/(-90).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 570, 2238, 5282, 9930, 16410, 24950?\n\"Answer: 38*g**3 + 460*g**2 + 22*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = q + 11, 20*f + 19 = -3*q + 15*f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20188)\/(-16))\/7 - 1\/4. Suppose -54*a + 56*a = k. What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 times -0.127264\nAnswer: 5.217824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/2938507 or 0?\nAnswer: 4\/2938507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2))**(1\/57)*b**(-6)\/b**(3\/7) assuming b is positive.\nAnswer: b**(-848\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 10*r**2 + 25*r + 9. Let n be v(-12). Let c(w) = 9*w + 4. Let x(y) = 6*y + 3. Let i(s) = 5*c(s) - 8*x(s). Does 2 divide i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9539 + 9545. What is the fourth smallest value in -2\/27, 1\/3, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29301996 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1005247658 to the nearest 100000.\nAnswer: 1005200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12099.\nAnswer: 3, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452543 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**3\/6 + 7*d**2 - 31*d. Calculate the remainder when f(-4) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 293*c - 256*c - 4*c**2 to w + m*c + s*c**2 and give m.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.66 + -38.6. What is the second biggest value in 1, 16, -4, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1479 is divided by 1477.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1717*y**2 + 2027*y**2 - 314*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1, 0.1, -665, -1, -4\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109078076?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 5*y**2 - 2*y - 4. Let h be x(7). Let o = h + -79. Let w = 8573\/13 - 659. Which is greater: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151*s**5*y - s**4*y**3 - 2*s**2 - 4*s*y**2 - 2*s - 3*y**3 wrt s.\nAnswer: -9060*s**2*y - 24*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*m + 172*m - 355*m = -195 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -5, -6, 4, -77894 in ascending order.\nAnswer: -77894, -19, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57491583 and 0.1.\nAnswer: -5749158.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -444599, -889263, -1333927, -1778591, -2223255?\n\"Answer: -444664*g + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119357 greater than 119379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4920.2060075 - 6979?\nAnswer: -2058.7939925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - 27 = 0. Let q = y + -15. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220463.\nAnswer: 113, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069602 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-16)\/(-32)) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11568803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 + 6*p + 8*p - 10*p + 3*p**2 - 3*p**2 + 13 - p**3. What is o(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*k = 18, 4*t - 5*k + 0*k = -28. List the prime factors of 4*(t\/(-8) + 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 89*b**3 + b**2 - b + 1. List the prime factors of a(1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2 - 2 - 1 + 4 + 4 + 0 + 0 - 2 + 4 + 0 + (1 + 0 + 0)*(-3 + 3 - 2) + 8 + 30 - 11 + 2 + 4 - 2)*(-6*h + 2*h + 3*h) in the form v*h + o and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h + 21. Give k(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3728 + 3728 + n. Let a(j) = 9*j**2 - 21. Determine a(y(l)).\nAnswer: 9*l**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 179450\/22 + (8 - (-430)\/(-55)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5857*g. Let p(m) = -m + 1172. What is p(n(j))?\nAnswer: 5857*j + 1172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000041245415 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 148*s + 1614. Let f be l(35). Calculate the greatest common factor of 928 and f.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stccs. What is prob of sequence cc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -5\/7 (c) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -6*w**5\/5 + 38896*w**4\/5 + 96068*w**3 + 1883168*w**2\/5 + 496186*w + 207840 = 0.\nAnswer: -16\/3, -5, -1, 6495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -45. Let i = -12 - t. List the prime factors of (62\/i)\/(4\/20).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2607397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 32 = 5*j - j, 312*b + j - 37 = 320*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -288, -617, -1078, -1677, -2420, -3313?\nAnswer: -4362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85991*0.5.\nAnswer: 42995.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and 32191.\nAnswer: 676011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*g + 33839 = -1422*g - 1269*g + 238*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + h**3 + 2*h**3 + (6*h - 11*h + 4*h)*(0*h**2 + h**2 + 2*h**2).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126965.869774 - -126966. Let z = -0.13 + p. What is z rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/3 (b) 5 (c) -0.44 (d) 0 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810717639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 918, 919, 920?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 55\/(-20))\/(2\/8). Let x(v) = 5*v**3 - 11*v**2 - 5*v + 19. What are the prime factors of x(s)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**2 - 224*b + 228 = 0?\nAnswer: -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -105, -216, -371, -570, -813, -1100?\nAnswer: -1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.347 rounded to one decimal place?\nAnswer: 77.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 9 = -z - 0*z, 0 = 4*z - 4*m + 24 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 0*c + 0*c)*(-8 + 3 + 101)*(-c + 3*c - c) to q*c**2 + i + n*c and give q.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 - 37*j\/5 - 42.\nAnswer: -(j + 7)*(j + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -4\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*p - 5 - 132*p**4 + 4*p**2 + 21*p**4 - 98*p**2 + 110*p**4 to the form h*p**4 + a + j*p**2 + x*p + d*p**3 and give j.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2090 - 2090. Solve f = 9*a - 29*a - 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j + 10. Let r = 87 + -2. Is (r\/(-10))\/(j\/12) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:53 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130954 is divided by 161?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*c + 4*h, -3*c + 3*h = 2*h + 40. Let y be (5 - 22\/4)*c. Let x be -9*(10 - y - 14\/3). Calculate the highest common divisor of 21 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 6 + 9. Let p be 5\/c*(-27 - -3). Suppose 1 = -m, m = -2*a - 0*a + 23. Calculate the highest common factor of a and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1452 - -2207. Suppose -m - 1016 = -7*w. What is the highest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4862 and 2574.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g*g**(3\/10)*g)\/g*g*g))\/g*g)\/((g\/(((g\/(g**(-2\/7)*g))\/g*g)\/g)*g)\/g) assuming g is positive.\nAnswer: g**(-351\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 66.9. Let f be (-2 - -6) + 884\/(-234). What is the nearest to v in f, 67, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 - 18*d**2 - 23*d + 119. Give v(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 11) in base 8?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1935 = 5*k + 5*d, 4*k - 3*d = 755 - 2324. Which is the closest to -1? (a) k (b) 0.1 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 3 - 3 + (-4*r - 13 + 13)*(-1 + 4*r**2 + 1)*(-1 - 5*r + 0*r + 4*r).\nAnswer: 15*r**4 + 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3744*o - 3. Let g(m) = 3*m**2. Give f(g(x)).\nAnswer: 11232*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2, -20 = -2*i + 4*w + 38. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + (15345\/(-225) - -23)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -235 + 1179\/5. Let k = 35 + -34. What is the closest to k in f, -6, 3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3088290.\nAnswer: 2, 3, 5, 113, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 143807?\nAnswer: 143807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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, i: 6}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -16*z**3 + 2*z + 1. Let w be x(-1). Let d be (-6)\/w - 7\/(-5). Suppose -t - 2 = -d. Which is greater: t or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2 + 4. Calculate the lowest common multiple of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 14*b**2 + 2218*b + 20347. Determine p(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:31 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -193593, -193750, -193907, -194064?\n\"Answer: -157*m - 193436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j = 225 + 595. Calculate the remainder when 109 is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (153\/18 - 10)*-2550 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25543 or -25547?\nAnswer: -25543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3*t**3 - p**3*t**2 + 2*p**3 - 3*p*t - 59*p - 1524*t**3 - 2*t wrt t?\nAnswer: -12*p**3*t - 2*p**3 - 9144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -414*g**5 + 1364281*g - 1 - 1364528*g + 4*g**4 - 4*g**4 wrt g.\nAnswer: -8280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5\/5 - 333*z**4\/5 - 2487*z**3\/5 + 993*z**2\/5 + 1620*z + 4956\/5 = 0.\nAnswer: -7, -1, 2, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 47*o + 2*o - 22 + 22. Let d(z) = -7*z. What is d(n(a))?\nAnswer: 336*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fscw when four letters picked without replacement from {f: 1, s: 1, c: 1, w: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 2*b**2 + 7*b + 9. Calculate r(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 1. Let w be g(15). Suppose 4*k + 0 = 8. Let y = k + w. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8035048 and 140613340.\nAnswer: 281226680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6) - 6\/(-4). Suppose j*b = -0*b. Solve -n + 5*n = b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 0*u**2 + 3*u**2. Let r(h) = 8 - 9 - 9401*h - 6 + 9382*h + 7. Give y(r(i)).\nAnswer: 1805*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1665\/((-999)\/27))\/(-6)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 624\/9 - 3\/9. Suppose 4*d - 16 = 4. Suppose -8*q = -d*q - t. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.6 + -7. Let y = j + 0.2. Let x = -24.7 + 24.9. What is the nearest to x in -1\/3, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in hours?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-894)\/(-1788))\/((-7)\/(-728)*-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1720 and 91\/55667800.\nAnswer: 55667800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**3 + 29*j**2 + 10810*j + 21565. Calculate b(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11*d**3 + 4*d**2 + 6*d + 6. Let z(r) = -11*r**3 - 5*r**2 - 7*r - 7. What is 7*s(t) + 6*z(t)?\nAnswer: 11*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 46.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10 + 7 = -2*l, 4*l - z = -7. Let s(n) = n**2. Give s(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-444))\/((-125)\/(-750)).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1860 = -14*v + 138*v. Calculate the remainder when 277 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 1037.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -x + 2. Let q(a) = 2 + 7 + 7*a**3 + 20*a**3 - 4. Let u(n) = 7*n**3 + 1. Let j(p) = x*u(p) - 6*q(p). What is the first derivative of j(h) wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 11*u + 6. Let v be c(-12). Let z be (-5 - -8) + v\/(-2). Differentiate -z - 3*a**3 + 2*a**3 + 8*a**3 + 0 with respect to a.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*-2*6 - sqrt(143) - (-1*sqrt(143)*-2 - sqrt(143)))\/(sqrt(275) - (2*sqrt(275) + sqrt(275)) - (sqrt(44)\/sqrt(4) + sqrt(11))*3).\nAnswer: 7*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/750 and 9\/27800?\nAnswer: 417000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3299 - -2ab2?\nAnswer: -4b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 97*j**2 + 1432*j + 183. What is k(-110)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1054 + -1027. Let z = 4 - 2. Which is the closest to 2\/3? (a) -1\/4 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67560*r - 3*r**3 + 67560*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 + 91. Find the common denominator of f\/((-189)\/206)*(-9)\/12 and 17\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -767965 + 1946438. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5*x - 15. Let u = x + 10. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.17 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88976334?\nAnswer: 2, 3, 17, 872317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/23 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 + -6)*(-66)\/(-5). Suppose -h = -4*h + y. Calculate the remainder when 87 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/12 + (-42)\/(-8). Let l = 0.4 - 0.4. Let o = 297 + -298. What is the nearest to l in 4\/9, o, z?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12202 (base 3) in base 15?\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x - 2. Let z be o(-11). Suppose 3*m + 33 = -z. Let b = -25 - m. Solve 0*t - t - 2 = b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a = -16*a - 4*b + 66, 0 = 4*a + 5*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - b - 2511, b + b + 3350 = 4*m. What is the highest common divisor of m and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0 + 12\/14. Let x(o) = -256*o - 8449. Let z be x(-33). Sort u, -1\/22, z, -0.4 in decreasing order.\nAnswer: u, -1\/22, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**4 + 30*r**3 - 105*r**2 - 30*r + 96. Let g(m) = 8*m**4 - 92*m**3 + 314*m**2 + 92*m - 288. Let v(i) = -6*g(i) - 17*j(i). Let v(d) = 0. What is d?\nAnswer: -16, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 12 - 28 = 0. Solve p*j - 2*j = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 less than -5733\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-126))\/(-1*(-2)\/(-6)). Is s < -0.047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**5\/20 + 5*a**4\/6 + 13*a**3\/6 - 9*a**2 - 7*a. Let k be i(-8). Solve k = d + 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -4, -0.04, 2\/5, 56\/15, 4 in descending order.\nAnswer: 4, 56\/15, 2\/5, 1\/4, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 33 = 2*k + 2*k, 3*k + u + 20 = 0. Let m = k + 11. Suppose 2*o = 5*o - 6, 0 = -5*w + 4*o + 17. What is the remainder when w is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1466.66067 to the nearest ten.\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -311 and -142514\/457 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**6\/120 - p**5\/10 + 7*p**4\/24 - 7*p**3\/6 + 30*p**2. Suppose -5 = -3*w - 2*w. Let b be 5\/(15\/2)*6 + w. Determine r(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + ((-16)\/(-2040)*-15)\/(2\/(-17))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -9. Suppose -4*s = 3*b - 18, -18 = -k*b + 3*b - 2*s. Solve b*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 3, q: 4}. Give prob of sequence qj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1051 - 1059. Let t(f) = -f + 4. What is t(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 + 1. Let s(l) = l**3 + 4*l**2 + 3*l + 1. Let u(g) = -4*g**2 - g. Let i be u(-1). Let a be s(i). List the prime factors of v(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170 + -165. Let t = -2 + 6. Let s be ((-10)\/t)\/(2\/4). Sort s, 2, v in ascending order.\nAnswer: s, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) - (sqrt(133) + sqrt(133) + -4*sqrt(133) + sqrt(133)))*4 - sqrt(133))\/(sqrt(63) - sqrt(1575)))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - c = -3*y - 63, -31725 = 5*c - 31715 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 16*i**5 - 3*i**4 + 17*i**2 - 3. Let g(w) = -16*w**5 + 2*w**4 - 17*w**2 + 2. Let x(v) = -3*g(v) - 2*l(v). Find the third derivative of x(q) wrt q.\nAnswer: 960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -11 (b) -37 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -3.4. Let r = 1.309 + -1.3751. Let a = r + 0.0661. What is the closest to a in 0.5, l, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974*g - 1891*g + 2699*g - 1389*g.\nAnswer: -1555*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18\/15*35\/7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -37663911 and -37663911 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 2. Suppose 5*q - 2*q = 5*h - 22, 5*h + 3*q = 28. Suppose -o + 1 - h = -i*g, -5*g + 12 = -3*o. Solve g = 4*y + 2*v - 13 - 9, 4*v = 5*y - 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + 4*w + 5. Is z(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.9 - 6809550.078.\nAnswer: -6809556.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 22 = -f, -4*f - 3*z + 0 + 58 = 0. Suppose 9*s - f = 20. Find the third derivative of 27*b**4 + 12*b**6 - 58*b**4 + 9*b**2 + 31*b**s wrt b.\nAnswer: 1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (151 - 153) + (1 + -1 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*w - 3*w - n, 5*w - 25 = 3*n. Suppose -3*i + 3*a = -39, -5*a - w - 10 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1749783 and 2880.\nAnswer: 1679791680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 4, -5, -8, -92 in descending order.\nAnswer: 4, -5, -8, -32, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/204*-17 + (-20)\/7\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + 7*t + 4684 - 15*t - 4644.\nAnswer: -2*t + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**3 - l**2 - 1. Suppose -3*w - 25 = 5*v, v = -3*w - 6 + 1. Let g be (-1 + 3)\/(v\/5). Does 11 divide o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 104 + 2341*u + 47.\nAnswer: 2341*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*((sqrt(35)\/(sqrt(10)\/(sqrt(2)*-1)) - (sqrt(7) + (1 + sqrt(63) - sqrt(63)) + sqrt(14)\/sqrt(2) + -2)) + 5)**2 + 2).\nAnswer: -864*sqrt(7) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - r - 19, 5*g - 4*r + 32 = 6*g. What is the smallest common multiple of 68 and g?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.961385 rounded to two dps?\nAnswer: -6.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -42. Let a = c + 0. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 159839, 319672, 479505, 639338, 799171, 959004?\n\"Answer: 159833*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from ggjggjggg.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/36)\/((-6)\/(-45))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*q - q. Suppose -5*o = -q*a - 387, 0*o = 5*o + 2*a - 383. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13773 + 0.1368. What is a rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 29. Solve -4*r - 2 - j = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61300 (base 11) to base 5\nAnswer: 10331130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 517627649?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9097 times -137?\nAnswer: 1246289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n = -2*o - 2, 0 = 5*o - 151*n + 148*n + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -796, -797, -798, -799, -800?\n\"Answer: -l - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + 222112?\nAnswer: 222057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 7*c**2 + 8*c + 3. Let s be t(8). What is the highest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 3*o**2 + 3*o + 1. Let h be u(-2). Let i(c) = c + 11. Let p be i(h). Solve a = -p*a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 93*3*(-1)\/9. Let w = z + 122. Let j = 125 + -112. Calculate the highest common divisor of w and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbbbrbbbbrr. Give prob of picking 4 b.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 5 - 18 - x - x.\nAnswer: 3*x - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 28597133 to the nearest 10000.\nAnswer: 28600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 5785270 - 5785270.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000033334 rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 280.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 2, -6759, -5\/8 in descending order.\nAnswer: 2, 1\/5, -5\/8, -6759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*n**2 - 496*n - 51*n**2 + 6*n**3 - 52*n**2 + 153*n**2 wrt n?\nAnswer: 36*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**3 - g**2 + g**2)*(-466 + 45 + 5*g - 184) to the form n*g + x + c*g**3 + j*g**2 + t*g**4 and give c.\nAnswer: 1210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*n - 243*n - 374*n + 58527 = 153*n for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9161767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70154807 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3427, 6854, 10279, 13702?\n\"Answer: -d**2 + 3430*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 - 1479*u**4 - 88617*u**3 - 1259361*u**2 + 6373080*u + 28179900 = 0. Calculate u.\nAnswer: -426, -35, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 1370*q**2 + 1365*q.\nAnswer: 5*q*(q - 273)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/18*4*12. List the prime factors of 62\/j - 9\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3.1. Let d = 89 + -89.2. Is d < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.04 (c) 2\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 15. Which is the nearest to -0.1? (a) 2\/3 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 155.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -6*g + 28. What is the third derivative of 5*i**5 - 9*i**2 - 19*i**5 + g*i**2 - 3*i**2 wrt i?\nAnswer: -840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 43?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -618769, -618772, -618775, -618778?\nAnswer: -618781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*b - l + 19, 3*b - 5*l = 3. Let w = b - -8. Suppose -351 = g - w*g. What is the highest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 7*f**2 - f + 3. Suppose 0 = -4*z + 3*g + 25, 3*z - 3*g + g - 19 = 0. Let q be i(z). What are the prime factors of 3 + (-2 - -131) + q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than -2196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:28 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f*p**3 - f*p**2 + 813*f wrt p?\nAnswer: 6*f*p**2 - 2*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 2*g**2 - 7*g - 10. Let m be r(-3). Suppose 0 = 3*t + m*t - 5. Let l = 134\/371 + -4\/53. Put -5, t, l in ascending order.\nAnswer: -5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q - 1. Suppose -9 = s + 4*w + 2, 5*s + 4 = -3*w. Calculate z(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8269 + 4127 + 2*t + 2*t + 4137.\nAnswer: 4*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9587*w - 18862*w - 3*w**3 - 2 + 0 + 9275*w + 2.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283*j*r**3*t**2 - j*r*t - j*t**2 + 98*r**3*t + r**2*t wrt t?\nAnswer: 566*j*r**3 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o**2. Let i(t) be the second derivative of -t**3\/3 - 2*t. Give n(i(s)).\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 25*f - 20*f. Suppose f*c = -2*v + 58, c = -3*v - 13 + 46. What is the greatest common divisor of 18 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -8. Suppose -z = z - u. Suppose 5*q - v = 12 + 4, -q - v + 2 = 0. Solve -3*x + 3 = -z*c, 6*x = -2*c + q*x + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873722 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 - 9*h**2 + 3*h + 4. Let u be t(4). Suppose 33*a - 26*a - 14 = u. Suppose -2388 = -a*g + 998. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 331 and -368.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1579*j**3 + 344*j**3 - 1244*j**3.\nAnswer: -2479*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/133468 and 37\/1342?\nAnswer: 1468148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -1)*-2 - ((-114)\/(-969) - 9927\/(-153)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 345 - 330. What is the highest common divisor of p and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) - (sqrt(104) + (-4*-1*sqrt(104) - sqrt(104)) - sqrt(104))))\/(sqrt(288) - (sqrt(288) + (sqrt(288) - 2*sqrt(288)))).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 0*c**2 + 2*c**5 - 2 + 2*c**5 + 2 + (-5*c + 4*c + 3*c)*(c**4 - 3*c**4 + 0*c**4) + 199*c - 199*c - c**5.\nAnswer: -c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3 (c) -2\/31 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17492 - 16655. List the prime factors of c.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45225 + 225517 = 28*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/943369 - 4588007749\/943369. Do -4863 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.893 - 0.107. Which is the biggest value? (a) w (b) 0.4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37080, 74217, 111354, 148491, 185628, 222765?\nAnswer: 259902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -455503 (base 6) to base 8.\nAnswer: -113677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 1:24 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqyyyqyyqqeqey. What is prob of picking 3 y?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3590.\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -470 divided by 331724\nAnswer: -235\/165862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 192*w - 19. Let b(j) = -63*j + 6. Calculate 8*b(z) + 3*p(z).\nAnswer: 72*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8680.0459 to the nearest 100.\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (6 + (0 - -8) - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 197 and 0.049.\nAnswer: 197.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -16 + 8 - (-19 + 36).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30797.\nAnswer: 13, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.13 + -0.13. Let c = f + -35. What is the third smallest value in -0.1, c, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 0*n**2 + 7*n + 1\/2*n**3 - 5\/6*n**4 + 8 + 9\/20*n**5 - 1\/15*n**6. Factor f(c).\nAnswer: -c*(c - 3)*(c - 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**6\/10 - 3*m**2\/2 + 8*m. What is the derivative of z(b) wrt b?\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 412 + -169. Suppose 4*z - k = b, 2*z - 115 + 16 = 5*b. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + (-1 + -1 - -3) + -108750 + 108759.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 71181 = 37*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3337 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**2 - 449*n + 94. Let z be w(-50). Solve 25*a = 6 + z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*x - 17 = -2, -4*n - 5*x + 27 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388a9 (base 14) in base 8?\nAnswer: 417245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = -26 - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15, -3, -39, 127 in decreasing order.\nAnswer: 127, 15, -1, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6775 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2774 (b) -0.4 (c) -7.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-13 - -10) - -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 7:26 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -734 - -729. Let w = -2 + 0. Let q(t) = t**3 + 6*t**2 + 3*t - 7. Let y be q(-5). What is the third biggest value in w, y, 0.5, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -896.00369 - -896. What is c rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**5\/9 + 114848*r**4\/9 + 549509392*r**3\/3 - 6595490944*r**2\/9 + 6595950368*r\/9 = 0.\nAnswer: -28714, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, m: 3}. What is prob of sequence nn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 15\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 381386669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*k + 20*u, 5*k - 8*u = -0*k - 4*u - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 1372112*k - 19210352.\nAnswer: 4*(k - 343042)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 34*10\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2.34, -7, -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 - 4*q**2 - 10*q - 14. Calculate k(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k**4\/4 - 77019*k**3\/4 - 3209553*k**2\/4 - 6188109*k\/4 - 763890 = 0. Calculate k.\nAnswer: -25463\/5, -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 3)\/(-4) + 1*5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -20*i**2 + 406*i - 3999. Let m(j) = -j - 1. Let y(v) = -6*m(v) - t(v). Let c(l) = -9*l**2 + 200*l - 2002. Let a(w) = -5*c(w) - 2*y(w). Factor a(z).\nAnswer: 5*(z - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -6. Suppose l - 3*g = -h*g, 0 = -3*l - 5*g + 1. Suppose -k = l*k - 3. Solve a - k = -3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 5:40 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 2*l = -19*c + 16, 5*c - 4*l + 11 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 32 = 0, 32*l - 28*l = x - 35885. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 17 - 7 = 4*i, -4*n - 12 = 409*i - 411*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l\/l**3*l))*l**(2\/31)*(l\/(l**(-2\/7)*l))**(-6\/7)*((l*l\/l**(-2\/17))\/l*l**(-12)*l)**(2\/33) assuming l is positive.\nAnswer: l**(-505419\/284053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.00999935 - 2.01. What is r rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23220598711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -11. Suppose 0 = h - b*h - 98. Suppose -5*u + 2*q + h = 0, -4*u - u = -3*q - 97. Which is smaller: 18 or u?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190187 + 46208. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) -149 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -537\/7 + 77. Let h = 104725 - 104724.5. Sort 16, h, -4, t in descending order.\nAnswer: 16, h, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**4\/3 - 1380*y**3 - 13900*y**2 - 104500*y\/3 = 0.\nAnswer: -5, 0, 1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpiinhhpqhinphhnpq. Give prob of picking 2 h.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -6 (c) 7017624\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310166869263*y - 310166869263*y - 26*y**2.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 542417106 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1513 and 2047?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkqtqqktqqtq. What is prob of sequence tqtk?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from aosusvajjauauuuuuaus.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 839291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25327364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 - 4*g - 4*g - 3*g + 5*g + (4 - 2 - 1)*(g + 0*g - 2*g) - 2 - 3*g + 2)*(-2*g + 0 - 2 + 0*g).\nAnswer: 20*g**2 + 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4) - 2)*-1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 10:21 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.045730838863 and 80.7?\nAnswer: 81.745730838863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25105 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1337696.\nAnswer: -6688480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57252217?\nAnswer: 11, 5204747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 2*q**2 - 311*q - 16. Give o(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*f + 14. Suppose 18 = -0*i + 3*i. Is (f\/3)\/(i\/1341) 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 1584 and 3718584?\nAnswer: 81808848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - 54)*(1 - (-1 + 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + (-2 - -4) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -1.71 (c) -2\/3 (d) -1 (e) -2\/69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**3 + 8014 + 3*f**4 - 2*f**2 - 21*f**4 + 2*f**3 + 5*f**3 - 8013 in the form b*f + x*f**4 + k + h*f**2 + v*f**3 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 15*j + 9 - 84*j**2 - 5*j**3 + 2*j + 93*j**2 + 9*j**3. Let h(n) = -n**3 - 2*n**2 - 4*n - 2. Give 9*h(k) + 2*i(k).\nAnswer: -k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + -3 + -5 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.99999987 - -22. Round p to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 888*t - 12*t**2 - 793*t + 13*t**2 to the form c + a*t + q*t**2 and give a.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -406295 - -406292. Let r(i) = 7 + 7 - 2 + 6*i. Calculate r(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 8:00 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 664 + -665.2. Which is the fourth smallest value? (a) 3 (b) 2\/11 (c) l (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*j - 213, 28*m - 27*m = 5*j - 192. Which is greater: m or -208?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4663*s - 4666*s + 79, -s + 5 = -l. Let w(o) = 5*o**3 + 9*o**2 - 8*o + 8. Let v(a) = -11*a**3 - 19*a**2 + 17*a - 17. Calculate s*w(z) + 6*v(z).\nAnswer: -z**3 + 3*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/7))\/(m**6*m)*m**0*m**3)\/(m**(1\/4)\/(m*m**(3\/4)))**30 assuming m is positive.\nAnswer: m**(293\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2. Let o(s) be the second derivative of -21*s**3\/2 - 3*s**2 + 2022*s. Determine m(o(f)).\nAnswer: 7938*f**2 + 1512*f + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*s + 114*s - 2 - 2 + 5 to h + i*s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -78945038.\nAnswer: -5\/78945038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -162 + 115. Let j = 54.8 + i. Let y = j + -2.8. Sort -4, -3, y in ascending order.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(13) + 5 - sqrt(156)\/sqrt(108)).\nAnswer: 2*sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 - 123*s**3 - 1411*s**2 + 9798*s + 11088 = 0 for s.\nAnswer: -42, -24, -1, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6249351223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -620 (base 10) to base 6\nAnswer: -2512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -27*l + 19*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701169 a multiple of 3141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -0.5, -5282?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15793 is divided by 1149?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 58620\/(-9760))\/(63\/(-28) - -3)\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**4\/8 - 2*g**3\/3 + 3*g**2. Let p be u(3). Let x(b) be the second derivative of -b**3\/2 + 7*b**2\/2 + b. Calculate x(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7, 0.5, 5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-8236\nAnswer: -2470.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 1191 = 16*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n. Let a be v(-1). Let r(s) = 2*s**2 - s - 2. Let l be r(-1). Sort l, 4, a.\nAnswer: l, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121*j**3 + 861.\nAnswer: 363*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 0, -3*n + 0*n = -5*k - 30. Let o be (34\/340)\/(k\/10). What is the nearest to 1 in 0.06, 3, o?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f**2 - 4*f**2 - 3*f**2)*(f + 2*f - 5*f) + 4*f**3 + f**3 - 4*f**3 + 2*f to the form t*f**2 + p*f**3 + n*f + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30757.99894388 - -30758. Round q to six decimal places.\nAnswer: 0.001056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j - j + (3*j - j + j)*(-10 + 11 + 11) + (j + 5 - 5)*(-2 + 3 - 2))*(3 + 0*j - 2 + 4*j).\nAnswer: 144*j**2 + 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 21 = o - 0*o, 4*a = 5*o - 9. Let c = 10 + a. Sort -2, c, 2 in increasing order.\nAnswer: -2, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 1089, 3507, 8147, 15747, 27045, 42779?\nAnswer: 63687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1887\/111)\/((81\/36)\/(-9))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380875017.\nAnswer: 3, 1087, 116797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -11 - (2281 - 2251)) + 133 + 1.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*i + 748*i - 244*i - 131*i - 237*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f - 5*m = -38, 3*f = -4*m + 43. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00507716662 to four dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + r = -2*r - 154065, 0 = -3*m + r + 115555. Round m to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stx when three letters picked without replacement from {s: 12, x: 1, t: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-14))\/((-121)\/1694)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9432*c - 1888*c - 1871*c - 1886*c - 1891*c - 1894*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -56*v + 51*v + 44, 0 = v - 4*j. Suppose -l = -10*k + v*k - 18, -2*k = l - 30. Solve 2*c + 6*c + l = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k + 1. Let y(u) = 2*u**2 + 7*u - 1. Give 6*i(t) + y(t).\nAnswer: 2*t**2 - 23*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.6 - -41. What is the second smallest value in 4, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 14512*z**2 - 591710*z + 577200.\nAnswer: -2*(z - 7215)*(z - 40)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -612 - -610. Suppose 19*u = 4*v + 21*u - 58, -2*u + 7 = v. Is y >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6*(-15)\/(-3). Which is the biggest value? (a) -1\/5 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -16. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from {f: 2, c: 3, d: 1, l: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7412.9 + 6792. Round a to the nearest 10.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 275 = -31*a. Solve 0 = c - 2*h + a, 2*c - 5*c - 5*h = -25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4) - (-39)\/6. Solve -5*f + s = 0, -5*y - 18 + 3 = -5*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*z - 21688 - 8323 = 4647 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*t - 25*t + 1708262. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1048.807 - -1048. What is q rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149231 is divided by 707.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahhhqqqhahhahhhhh. Give prob of picking 1 a, 2 q, and 1 h.\nAnswer: 11\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29232550 by 955.\nAnswer: 30610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*w + 820 = -0*f, 0 = f - 4*w - 194. Suppose 4*o - 11 = -3*p, 0 = -3*p + 6*o - 2*o - 29. Is f - (-1)\/p*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0*n**5 - 1\/120*n**6 + 0 + 1\/12*n**4 + 1\/3*n**3 + 0*n + 23*n**2. Let x(v) = -5*v**3 + 9*v + 9. What is -9*u(r) + 2*x(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 12. Let n be p(18). Is n < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 - 1.04. Suppose 12 = t + 2*h, -2*h + 4*h = -3*t + 32. Suppose 5*k + 3*r = t, 2*k - k = -2*r - 5. Which is the nearest to -1? (a) 2 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13347, 53373, 120069, 213423, 333423, 480057, 653313, 853179?\nAnswer: 1079643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 106*t - 1898. Give w(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/2 + 293*j**4\/2 + 2499*j**3 + 6623*j**2 + 12665*j\/2 + 4125\/2 = 0. Calculate j.\nAnswer: -275, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from {h: 4, q: 3, e: 1, x: 1, v: 4, g: 7}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 35\/3, -0.5, 0.5 in ascending order.\nAnswer: -0.5, 0.5, 2, 35\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 8*p = 6*p + 10, -4*p + 20 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51039, -102075, -153111?\nAnswer: -204147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 8:49 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6437.09366 - 6437. What is u rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1805079024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -262\/7 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 5*h**2 - 8*h + 7. Let n be b(6). Let i = -8 - n. What is the biggest value in 2, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81540.\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let s = -1\/6 - 1\/30. What is the second biggest value in s, -2\/3, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 + u**2 - u**2 - 3*u**5 - 2*u**5 + 3*u**5 + (0*u**4 - 3*u**4 + u**4)*(2*u - 2*u - 2*u) + 0*u**5 - 2*u**5 + 3*u**5 + 13*u**2 + 41*u**5 - 13*u**2.\nAnswer: 46*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 13*d**2 - 5*d + 58. Determine q(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19186828111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2 and -49\/244.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4*-522\nAnswer: -2088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1469 + -95487\/65. Which is the third smallest value? (a) q (b) -0.3 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2.8. Which is the nearest to 2\/5? (a) 4 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45735778*o*u - 91161777*o with respect to u.\nAnswer: -45735778*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 10670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35\/6 + 6. Let a(q) be the first derivative of -1 - 1\/10*q**5 + 1\/4*q**2 - 1\/8*q**4 + 0*q + l*q**3. Find f such that a(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 17*z - 2. Let o(q) = -52*q + 5. Determine -8*n(a) - 3*o(a).\nAnswer: 20*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**4*n**2 + 231*h**4 - h**2*n - 82*h - 3*n**2 wrt h.\nAnswer: 24*h**2*n**2 + 2772*h**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 31*f + 160. Let m be o(-5). Put 3, -133, m, -2 in decreasing order.\nAnswer: m, 3, -2, -133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 19*i**2 + 5*i + 10. Let y be b(-10). Let a = -62 + y. What is the remainder when 73 is divided by 21 + 1\/a*(-19 - -23)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-324)\/(-567))\/(2\/14). Let v be ((-66)\/77)\/(2\/(-14)). Solve -l*w - v = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76288\/2661 + 2\/887. Let s = 30 + d. Let a be ((-104)\/40)\/(-1 - 8\/(-10)). What is the second smallest value in 3\/8, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, c: 3, o: 1, e: 3, l: 1, p: 1}. Give prob of sequence pcic.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4398520 divided by -14?\nAnswer: -314180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j + 4*j - 8413275 = -53*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + 2*q**2 + 7*q**2 - 33*q**2 to x*q**2 + h*q + d*q**3 + p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/12702 and 143\/174?\nAnswer: 12702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-11)\/(-8))*28*13\/910. Factor -b*h + 0 - 1\/2*h**3 - 3\/4*h**2.\nAnswer: -h*(h + 1)*(2*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3323175 (base 8) to base 5\nAnswer: -212111324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from xzyyyxzzzzyyyyyy?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297, 190186, -3, 4 in descending order.\nAnswer: 190186, 297, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-28)\/8)\/(3\/(-52)). Let p = 30 + i. Suppose -20 = -p*x, 0 = -4*u + 2*x - 511 - 171. What is u rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10cd83 (base 16) in base 2?\nAnswer: 100001100110110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*l - 4 = 0, -39*x + 4*l = -35*x - 8. Calculate the remainder when 118 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, a: 8, y: 1, f: 2, e: 1, p: 1}. Give prob of sequence abp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a factor of 93326483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.4, -0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005545031 to 5 decimal places.\nAnswer: -0.00555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40395.7 and 0.3?\nAnswer: -12118.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 1\/6*i**3 - i**2 - 17*i + 1\/12*i**4 + 3. Give n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**3 - 5 + 5)*(-135823*b + 7 + 67918*b + 67930*b) in the form k*b**3 + i*b**2 + r*b**4 + v + q*b and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 101001 (base 2) to base 16\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 574650?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227567 is divided by 1039?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -37*w**6\/120 - 21*w**3 + w**2 + w - 102. Let p(h) be the second derivative of u(h). Find the first derivative of p(i) wrt i.\nAnswer: -111*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 1131112?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*s**4 - 25*s**3 + 62*s**2 - 8*s.\nAnswer: -s*(s - 1)*(s + 2)*(29*s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**3 - 1140*c**2 - 14437*c**2 + 41242*c**2 + 29323*c**2.\nAnswer: -22*c**3 + 54988*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from goccgggsooggcooosc. What is prob of sequence oogo?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 6*k - k + 28, 2*m + 4*k + 18 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(68) + 2 - 3*(sqrt(68) + 2))**2.\nAnswer: 64*sqrt(17) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-80)\/(-12) + -4)*6\/8. Suppose 3*a - 336 = -d*i, 3*i - 3*a = -284 + 758. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.3, -6, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2873896 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -18*k + 21*k. Solve y = 2*y + k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 21*c - 39. Let y be z(18). Solve 2*u - y = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k*k*k*k**(2\/5)))\/k))**(2\/75) assuming k is positive.\nAnswer: k**(44\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 28646249 divided by 3511\nAnswer: 8159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a6 (base 13) to base 7.\nAnswer: -3563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x + 9*x**5 + 0*x - 7*x - x wrt x.\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**(-3\/7)*i)*i)*i**(-5)*(i*i**0*i)**(1\/25))**(-1\/31) assuming i is positive.\nAnswer: i**(761\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 7*q - 1. Let s be (-276)\/36 + (-20)\/15. Determine n(s).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -23. Find the second derivative of -t + 19 - 90237*t**3 - 154*t**4 + 90237*t**h wrt t.\nAnswer: -1848*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - -42. Let d = 164 - 140. Calculate the remainder when m is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3673*f**2 + 860*f**2 - 772*f**2 to i*f + y*f**2 + h and give y.\nAnswer: -3585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143944 is divided by 10097?\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1001220100213?\nAnswer: -1001220100203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -r, 0 + 8 = 2*r. Let m(y) be the first derivative of 2*y**3\/3 - 2*y**2 + 3*y - 41. Give m(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176 - -316. Calculate the greatest common factor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 181 - 24*d + 42217*d**2 - 42216*d**2 - 92. Calculate u(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23\/3 + 155\/21. Let o = 12 - 10. Which is smaller: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 154*c + 247.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**2 - 2. Suppose -25 = -3*n + 4*o, -5*o = -8 + 28. Let i(s) = -3*s + 4*s - n*s. What is k(i(y))?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 3. Let u be f(-2). Let v(h) = -4*h**2 + u - 1. Let w(q) = 2*q**2. Calculate v(w(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 2*a**3\/3 + 13*a**2\/2 - 39. Let f(t) be the third derivative of t**4\/24 + 21*t**2. Give b(f(i)).\nAnswer: 2*i**2 + 13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1146225 (base 10) to base 13\nAnswer: -311952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 1, s: 3, k: 1, d: 1}. Give prob of picking 1 s and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1)*-16 - 0. Let b be ((-24)\/f)\/(6\/(-28)). Suppose 2*s = -o + 113, 4*s - 3*o - 220 = -b*o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = 6. List the prime factors of 3\/(6\/22)*c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 475, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, -70\/89, 0.3, 24, -1\/4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**3 + 44*w**2 + 2. Let u be c(11). Let d(t) = t - 1. Let o be d(5). Suppose -402 = u*f + o*f. Round f to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 10) to base 8.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 13*s - 83. Let g = 48 + -28. What is the units digit of m(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140233 (base 5) to base 9.\nAnswer: 7725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2 (b) 1\/31 (c) 1\/15 (d) 4 (e) -2\/17 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1*2)\/sqrt(4).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*42\/((-42)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-26))\/(-1 - 0)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/33, 1.24, 0.04?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189600, 189601, 189602, 189603, 189604, 189605?\nAnswer: 189606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - k - 9 = 0, 0 = v + 3*v - 4*k - 16. Let p(n) = 1 - 5 - 7 + v*n. What is the tens digit of p(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3 = 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.072 or 0.2138?\nAnswer: 0.2138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 5*u + 2*u)*(-1 + 1 + 5)*(3*u**2 - 5*u**2 - u**2).\nAnswer: -30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 7. Let r be j(5). Let h be 9*r\/(-12) + -2. Is 2 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.4 - 18.5. Let m = -63 + 44. Let z be m\/(-7) - 4\/(-14). Which is the closest to r? (a) z (b) -2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39554895827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -82*m + 41. Let s be (-1332)\/168 + (-2)\/28. Is w(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2098 - -1375. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114 + 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 10212202?\nAnswer: 10212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.3 times -497714?\nAnswer: -49920714.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -1\/4*k**4 + 3*k + 1\/2*k**2 + 0*k**3 + 0. Differentiate r(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, g: 4, l: 1, x: 6}. Give prob of sequence lgvx.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*n + 248 = -119*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 26*v + 31. Determine b(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24.97+-4\nAnswer: 20.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + -32 + 24 - -42) + 0 + -88?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110*a**3 + 34224 - 34224)*(0*a + 4*a - 5*a) - 8*a**4 + a**4 - a**4 as u*a**3 + l*a**2 + k + m*a**4 + x*a and give m.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -145852 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -37 (c) -0.3 (d) -172.81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19141 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 7:26 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66109872.\nAnswer: 2, 3, 17, 81017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r + 684 = 0. Find the third derivative of 6*b**4 + r - 342 - 17*b**2 wrt b.\nAnswer: 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 2*v**2 - 4*v)*(-147 + 59 + 93 - 172 - 116).\nAnswer: -566*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**2. Suppose a = 2*r + 3, 2*r + 10 = 5*a - 5. Let i(o) be the third derivative of r*o + 1\/12*o**4 + 0*o**3 + o**2 + 0. What is f(i(c))?\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -z + 6*z - 16, -2*z = -4*s - 16. Let l be (-12)\/(-16)*z - 0. Factor -66*o**2 + 4 + 54*o**2 - 7*o**l - 3*o - 2.\nAnswer: -(o + 1)**2*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -291 + 775. Suppose -g*v = -488*v + 32588. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -628*x + 618*x + 20. Solve -2*l + 2*r + r + 13 = 0, -l + x*r + 9 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = w + 2*w + z, 5*z = -w + 9. Let q = 28 - w. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2988 and 40411704?\nAnswer: 121235112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6724\/28 - 1\/(-7)*-1. Suppose 5*s**5 - 30*s**4 + 60*s**3 - 2*s**5 + 15*s**3 + 1 - 193 + 60*s**2 - j*s = 0. Calculate s.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 10*b + 7. Calculate l(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b. Let j(d) = -213*d. Determine k(j(a)).\nAnswer: -1278*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v**2 + 4*v - 3. Let l be p(3). Suppose -182*d = -187*d + l. Solve 3*j = -0*j + 5*o + d, 6 = 2*j + 3*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2. Suppose -6*l = -l + 10, -3*l - 21 = 5*p. Let v = -1 - p. Let d(o) = -3*o**2 + o**v + 0*o**2. Determine d(z(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 14. Let v(b) = -b**2 - 13*b + 20. Let l be v(-14). Let x be h(l). Suppose 2*w + x*u - 196 = -0*u, 4*u = -5*w + 489. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2072 - -3376. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 790814.962 to the nearest 1000.\nAnswer: 791000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 q when three letters picked without replacement from {q: 1, w: 5, o: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -120000002112022?\nAnswer: -120000002112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 + 8 = 0. Suppose 0 = -5*f - 2*q + 76, p*f + 0*q = 4*q + 16. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 12*v**2 + 26*v - 15. Let h be t(-14). Which is greater: 9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684700 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 the greatest common factor of 320 and 575936.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*f - 24*f + 135. Let r be (-13 - 1) + f\/9. List the prime factors of (-4350)\/(-18) - 3\/r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*(sqrt(102)*-2*5 + sqrt(102) + sqrt(102) + (sqrt(102)*2 - sqrt(102))*5 + sqrt(102)))\/(-1*sqrt(384) + sqrt(36)\/sqrt(6)*2).\nAnswer: sqrt(17)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 + 11*h - 31. What is the remainder when y(4) is divided by 152\/5 + (-3)\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1209390 and 1531894?\nAnswer: 22978410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 - 37*w. Determine t(-15).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 0 - -2)*-20. Let j = 190 + -190. Suppose -g - g + p = j. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) 4\/7 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*b**3*d*m**3*p + 2*b**3*m**3 - 4*b**3*p + 16*b**2*d*m*p + 2*b**2*d*m - b**2*m**2*p + b*d*p + 2*m**3*p wrt b?\nAnswer: 162*d*m**3*p + 12*m**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -1\/120*z**6 - 7 - 4\/9*z**3 + z**2 + 0*z + 1\/18*z**5 - 1\/18*z**4. Factor s(t).\nAnswer: -(t - 2)**2*(3*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-215 + 207)*10\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3066 or -3064?\nAnswer: -3066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrrcccrccccorcjjcc. What is prob of picking 3 c?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - k**2 - 2*k - 2. Let u(f) = -35*f**2 - 22*f + 78. Let o(t) = 2*n(t) - u(t). What is the units digit of o(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 396, 3, -2 in ascending order.\nAnswer: -5, -2, 2, 3, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4248166 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:26 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -359 - -370. Solve -24 = -m - b*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 0.5 (c) 1.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = l - 8, 3*l + g = 7 + 9. Suppose -l*d - 33 = -13. Let t(j) be the first derivative of -j**4\/4 - 5*j**3\/3 - 6*j + 2. Determine t(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2364761 or 30741875\/13?\nAnswer: 2364761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (219*d**3 + 215*d**3 - 433*d**3 - 153*d)*(71 + 17*d - 71).\nAnswer: 17*d**4 - 2601*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13452)\/(-3540) + (0 + -3 - 1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 433*y - 22446. Give l(-123).\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83182 and 555104.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 12*s**2 + 7*s. Let m(z) = -4*z**2 - 2*z. Suppose -400*v + 415*v = 11490. Let u = v - 764. Suppose -28 = -3*k - k. Determine k*m(f) + u*w(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 60 and -790?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 7 - -3 - -1 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/10 and -13\/14585.\nAnswer: 29170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 1\/3*g**4 + 0 + 4*g + 0*g**3 + 1\/2*g**2. What is the first derivative of f(c) wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 66 - 5*r - r - 62.\nAnswer: 2*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15749, -15747, -15745, -15743?\nAnswer: -15741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/4 + 7*x**4\/4 + 3*x**3 - 4*x**2 - 16*x - 12.\nAnswer: (x - 2)*(x + 2)**3*(x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 - 82. Let c be (-85)\/(-15) - 3\/s. Suppose -3*y - 531 = -c*y. What are the prime factors of y?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c*c*c)**(-1\/2)*((c*c**(-1\/5)*c)\/c)\/c*c*c**(2\/13)*(c\/c**1)**(5\/18)\/(c**0)**3 assuming c is positive.\nAnswer: c**(-71\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + (-6*1*sqrt(243) - ((sqrt(243) + 0 - sqrt(243)) + -3))))**2.\nAnswer: -2592*sqrt(3) + 35136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 14210903?\nAnswer: -14210903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 289 = i + 3*o, -2*o + 8 = 0. What are the prime factors of i?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, -8, 142, -3, 109, -5 in ascending order.\nAnswer: -8, -5, -3, 2, 12, 109, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(10\/7))\/((t\/t**(-7\/6)*t)\/t)*(t**(-1\/17))**(-11\/6) assuming t is positive.\nAnswer: t**(-177\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 104424 = 5*q + 104374, 2*w = -24*q + 240 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l*t*v**2 + 796*l*t + 3*l*v**2 - 4*l - 105*t*v + 9*v**2 - 1231 wrt t.\nAnswer: -l*v**2 + 796*l - 105*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089591 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 5*r**2 + 5*r + 3. What is j(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -3) + 165 + -163?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -41\/24312?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 15) in base 3?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30331 is divided by 10095?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/33)\/((-2)\/(-354)). Suppose 80*o - 76*o - 8 = 0. Suppose o*p = j + 139. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 1597 = 8923. What is the lowest common multiple of 108 and o?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3926291543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -43*d + 2337. What is m(9)?\nAnswer: 1950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58029 or -58039?\nAnswer: -58029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -601276 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l - 46. Let q be t(5). Solve 3*x - 4*o = 11, q*o = -3*x - 2 - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(3\/(-2)). Let z = 1584 - 1583. Which is the closest to -1? (a) -0.5 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 6:56 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19825 - -33299. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 2*n + 26*n**3 + 5*n - 16*n**3 - 55*n**3.\nAnswer: -45*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1978260 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.465, -1, -5, 4 in increasing order.\nAnswer: -5, -1, -0.465, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 10. Let d = v - 2. Solve -p + d = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxf when three letters picked without replacement from {x: 1, f: 1, v: 2, p: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 493776 divided by -6096\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210238974.\nAnswer: 2, 433, 2552239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -210*u - 6931. Let c be i(-33). Let k = -84\/61 + 1953\/488. Let q = -181\/72 + k. Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8919062 litres in millilitres?\nAnswer: 891.9062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*b**3*g*y**3 + b**3*g + 3*b**2*g*y**3 + 37*b**2*g*y - b**2*y**2 + 6*g*y**3 wrt y?\nAnswer: 90*b**3*g + 18*b**2*g + 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -2\/387 (c) -7722\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2)*-2 + 4. Suppose 5*f - l*f + 12 = 0. Let n = f + 20. What is the lowest common multiple of 10 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -8. Let y = u + 1. Sort -5, 4\/5, -1, y in decreasing order.\nAnswer: y, 4\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76991 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k**3 - 7*k**3 - 3*k**3 + (-k - k - k)*(-2*k**2 - k**2 + 5*k**2) + k**3 - 2*k**3 - k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -507.8831 - 0.1169. Let w = g - -543.7. Round w to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {w: 3, k: 2, h: 1, r: 2, f: 3, t: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3)*5\/2. Let t = x + 34. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.2, -5, -0.3, -0.1 in decreasing order.\nAnswer: -0.1, -0.3, -5, -9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(2 + 2 - 2)*(5*s + 6*s - 3*s - 1 + 2*s + 1 - s + s - s + (3 - 1 + 0)*(s + 2 - 2) - s + s + s).\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5 - 90*c**4 - 1046*c**3 - 534*c**2 + 4576*c - 2904 = 0. Calculate c.\nAnswer: -22, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 5\/18460743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 92 = 20*n. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 112608608*x**3 + 2769872 wrt x.\nAnswer: 337825824*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 1. Let t be 24\/(-5) + 2\/(-10). Let f be o(t). Let r = 76 + f. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**3 + i**2 - i. Let l be k(1). Suppose -l*j + 26 = 5*y, 5*j + 7 = 3*y - 16. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19568 + 19549 - 44*i + 11*i - 2*i**2.\nAnswer: -2*i**2 - 33*i - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*p**3 + 275*p**3 - 136*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 521259958?\nAnswer: -521259968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34 - -35)\/(-1 + 0). Let w be v + (2\/3)\/(128\/240). Suppose -5\/4*f - w*f**2 - 3\/2 = 0. What is f?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -477 divided by -292\nAnswer: 477\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.668 - 0.032. Let q = n - -6.699949. What is q rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 67*a**2 + 4574*a - 164. Let y be d(-42). Let q = 0 - -1. What is the nearest to 0.1 in -2, q, -10, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15965, 15970, 15977, 15986, 15997, 16010?\n\"Answer: h**2 + 2*h + 15962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176656918 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*x - 8. Let c = -2 + 0. Let u = 5 + c. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1288329 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -q - 7*s + 671, -2*q + 1392 = -2*s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1422207, 2844422, 4266637, 5688852, 7111067, 8533282?\n\"Answer: 1422215*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*x + 75*x - m = -25, 2*x + 11*m = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173262 divided by 2586.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3750 = -12*l - 690. Suppose 12*c = 17*c - l. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -59.2?\nAnswer: -236.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*q + 21600 = 39*q + 51*q + 201*q for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45, 88, 131?\n\"Answer: 43*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 2. Let p be i(-5). Suppose -3 = -3*g, -7*s + 2*s + 48 = p*g. Calculate the remainder when 1\/1*-1 + 27 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7777825 nanometers to micrometers.\nAnswer: 0.0007777825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79a85 (base 11) to base 12.\nAnswer: 56bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1079568 and 169\/49392.\nAnswer: 7556976","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*-1)**2 + 2 + -1*sqrt(2).\nAnswer: -sqrt(2) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 7. Suppose -2*w = -5*m + 54, 2*w - n = -m + w. What are the prime factors of 5\/20 + 1917\/m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -63*n. Let m(v) = 25*v - 128. Determine m(g(w)).\nAnswer: -1575*w - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000109861 rounded to 6 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) 9 (c) -0.3 (d) 3\/11 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-10) + 2\/5. Let o be (142 - 4 - -1)\/f. Suppose -4*c + 3*m = -183, -3*c - 2*m = -6*m - o. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14049 less than 191?\nAnswer: -13858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.8 - 1.2. Let y = i - -5. Is y less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*k - 67*k = -49 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 + v**2. Let y(i) = 7*i**4 + 6*i**3 - 7*i**2 - i + 28. Let l(m) = 3*q(m) + y(m). What is the second derivative of l(c) wrt c?\nAnswer: 84*c**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y**2 + y. Let m be l(-1). Let c be 4\/9 + (-2)\/m. Is c at most 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 9 = 4*h - v, 3*h - 5*v = 3*v + 119 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 4*r**2 + 3*r - 2. Let n be f(2). Find l, given that -23*l**4 + 10*l**4 - 3*l**5 + 10*l**n - 3*l - 3 + 6*l**3 + 6*l**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 24.1. Let b = 0 + g. Sort -4, b, 3 in increasing order.\nAnswer: -4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19496409 divided by -28?\nAnswer: -19496409\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 392 = 2*v. Suppose 5*u - 2016 = -13*u. Suppose -73*l + u = -69*l. Calculate the greatest common factor of v and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1051*k**2 + 7*k + 12. Let q be d(-3). Round q to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2494*k. Let l(v) = 69*v. Let z(d) = 26*d. Let a(j) = 3*l(j) - 8*z(j). Determine o(a(t)).\nAnswer: -2494*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2 + 155*m - 898. Calculate u(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 1 q when three letters picked without replacement from ytqhl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*l - 54*l = 5800. Calculate the remainder when l is divided by 68.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 22990573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558113.6 kilometers to centimeters.\nAnswer: 55811360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4)\/(-22) + (78\/(-13) - (-185713)\/121) and 139.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4*q + 3*q**2 + 18*q - 4*q - 12*q to the form r*q**2 + d + k*q and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 468 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/18*30195\/1525)\/(6\/2)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/19, -0.93, -0.07?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 - -80. Let m(r) = r**3 - 5*r**2 - 11*r + 20. Let y be m(u). What is the highest common factor of y and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-9)*(v\/(v\/(v*v**(2\/3))))**(-23))**(-2\/139) assuming v is positive.\nAnswer: v**(284\/417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npcyymyynnnyy. What is prob of sequence nmcn?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from yayynqaaqyayqzyanyaq?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 8\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6142 + -30708\/5. Which is the third smallest value? (a) -0.5 (b) x (c) -2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -199, -361, -633, -1015?\n\"Answer: -55*j**2 + 3*j - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(-5 + 5 - 12*x) + (-4*x + 3*x + 2*x)*(0 + 2 + 3))*(12*x**3 + 37 - 37).\nAnswer: 348*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**11*h))\/h)**6*(h\/(h*h**(-1\/11)))**(-1\/64))**17 assuming h is positive.\nAnswer: h**(-861713\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**2. Let h(d) = -22*d + 15. Let z be 1 + (12\/18)\/(2\/12). Let p(l) = -24*l + 18. Let t(a) = z*p(a) - 6*h(a). Calculate v(t(w)).\nAnswer: -864*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -4 (c) -3.2 (d) -1\/6 (e) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxx when three letters picked without replacement from {x: 3, k: 9, b: 2, n: 1, s: 2}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 17. Let r(g) = 3*g - 35. Let q(i) = -5*b(i) - 2*r(i). Find the first derivative of q(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1769*t - 1791*t + 62104 = 14870. Calculate the highest common factor of t and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {i: 1, x: 1, b: 5, w: 3, d: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 625 + 206 + 4*v - 519 + 179 + v**2.\nAnswer: 2*v**2 + 4*v - 759","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 49 = -5*r, f + 3*f - 44 = -4*r. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**6\/120 + 7*v**5\/60 + 5*v**4\/24 + v**3\/6 + 291*v**2. Determine u(6).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 + -18.64. Let m = x + 19.5. Let r = 1654 + -1649. What is the closest to r in 2, -5, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z. Let p(s) = -s + 44. Let a be p(z). Let n = -29 + a. What is the highest common divisor of 6 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -15*r**3 + 38*r**2 + 93*r - 14. Determine o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21419, -21605, -21915, -22349, -22907, -23589, -24395?\nAnswer: -25325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-36)*-5 + 3. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10100342.\nAnswer: 2, 7, 743, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -2, -15 in increasing order.\nAnswer: -15, -2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -109326789 divided by -934417?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58129*l - 25 = 58143*l - 305 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y**3 + 2*y. Suppose 9 = -r - 3*k, 5*r = 94*k - 99*k - 25. Let n(c) = c + 2*c - 4*c**3 - 2*c. Give r*t(s) + 7*n(s).\nAnswer: -4*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -2038, -1\/18, -9, 0.3?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, g: 4, j: 1, a: 4, f: 3, d: 4}. Give prob of sequence tg.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/2 - h**2 - 5*h + 9843. What is d(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.15674 and 148067154.42.\nAnswer: 148067154.26326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -10, -4*y - 2*x = y - 35. Solve -15 = -4*m + m, 0 = -3*a + 2*m + y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 492, 5, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2 + 13 = 0. Put 0, 4, l in increasing order.\nAnswer: l, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 3, -0.4, -0.04, 2\/7 in descending order.\nAnswer: 3, 2\/7, 0.05, -0.04, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 14) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.3 - -29. Let i be (-4)\/(2*(2 - 3)). Which is the third smallest value? (a) i (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11539, 11354, 11169?\n\"Answer: -185*r + 11724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*b + 20, 0*b = 2*b - 2*j - 8. Suppose -129*a + 128*a + b = 0. Solve x = -a + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -17.4 (b) -0.1 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2200 smaller than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 8*a**7\/105 - 9*a**6\/10 + 18*a**5\/5 - 9*a**4\/2 + 2560*a**2. Solve z(u) = 0 for u.\nAnswer: 0, 3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*o - 93, -o + u + 15 = -u. Calculate the remainder when 77 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 85\/642749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5410935 and 4328748.\nAnswer: 21643740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/(-6 - -5). Let n = -16 + 31. Let x = 57\/4 - n. What is the second biggest value in -0.2, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) - (sqrt(2)*-3 + 3)) + -3.\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 380 + 396. Sort c, 39, -4, -7 in decreasing order.\nAnswer: 39, c, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -9. Let h = s - 4. Suppose 0 = 2*r + h*z - 55, 2*r + 65 = 4*r + z. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + 2*h)*(2*h + 3*h - 7*h) + (h - h + 4*h)*(4*h + 94 - 94).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 14 = 4*f, -5*n = -3*n - f - 1. Let s(h) = -h**2 + h + 1. Let j(w) = 4*w**2 - w - 2. Let y(k) = -j(k) - 3*s(k). Give y(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -804 + 33*n**3 - n**2 - 83*n**3 - 1229 + 192 wrt n.\nAnswer: -150*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5884873 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -113?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 30. Let z = -17 - l. Suppose 125 + 101 = 4*v + z*k, 4*k + 232 = 4*v. Does 34 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(495\/(-1001)) - (-4)\/6. Solve n*c = 25*c - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 4197.6?\nAnswer: -4197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -21*1206\/(-3654) - (8 + -1)\/1. Sort -1\/5, -2, v, 66 in ascending order.\nAnswer: -2, -1\/5, v, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(175) - (sqrt(175) + -1*sqrt(175) + -5)).\nAnswer: 10 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/7)\/(c**(1\/3)*c))**22\/(c**(3\/2)*c\/(c*(c*c\/(c\/((c*c\/(c*(c\/c**(2\/21))\/c))\/c))*c*c*c)\/c))**(-4\/3) assuming c is positive.\nAnswer: c**(-2774\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 = 0, 3*k - 5*a - 4 = -4*a. Is -5\/27 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1. Let w(l) = -3*l + 9. Let a(r) = -45*c(r) + 5*w(r). Let q(g) = -3*g. Calculate a(q(d)).\nAnswer: 45*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 124 = 9*k. Suppose 5*y - o = 1179 - k, -o = 5*y - 1045. Suppose 3*r - 6*r - 3*q = -y, -120 = -2*r + 2*q. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-6 - (-2 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1, 1\/2, -46991, -5, -1, -3?\nAnswer: -46991","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m\/(m**(-2\/17)*m))\/m)\/m*m*m*m**(-2)*m)\/(m**(-1\/2)\/m*m**(2\/15)))**(-9) assuming m is positive.\nAnswer: m**(-3801\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27143.\nAnswer: 27143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10218 is divided by 66?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101702 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j - 8. Let g(w) = -w**2 + 3. Let b be g(0). Suppose -2 = b*s - u - 9, -4*u = s - 11. Solve -2*p + 4 = j*l, -2*p + s - 2 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 3*z**3 - 2*z**3 - z**3 + 0*z**3 + 10*z**3 + (4 - 4 - z)*(2*z + z**2 - 2*z).\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 32039?\nAnswer: -68\/32039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.79283 + 0.265653.\nAnswer: -0.527177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -54. Let i be 120\/(-45)*(1 - (-2)\/m). Let d(s) = 42*s**3 + 8*s**2 + 10*s. Let o be d(i). What is o rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 108*c**5 - 4212*c**4 + 29367*c**3 + 244466*c**2 - 29475*c - 240254 = 0.\nAnswer: -14\/3, -1, 1, 131\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**2*o**3 - l**2*o**2 + 163381*l**2 + 2*l*o**3 - 67*l - 108*o**3 - 47 wrt l.\nAnswer: -10*o**3 - 2*o**2 + 326762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {w: 1, q: 1, f: 4, v: 6, r: 5, p: 3}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 6. Let g be i(6). Let u be (-2)\/(3\/(27\/(-6))). Suppose g*m = -u*m + 45. Solve 6*y = -4*x + 4*y + 18, -5*x + m = -5*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, u: 5}. Give prob of sequence pppu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -1\/2, -0.08, -1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*a - 2*p - 6, -2*p = -a + 10. Suppose 80353 = a*o - 74647. What is o rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -9*c - 44, -9*c - 44271 = -y - 44231 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145853 is divided by 187?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 11:46 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 = -j - 0, -3*j + 3*v + 24 = 0. Suppose 4*s - 5 = j. Let u(n) be the third derivative of n**4\/8 + 22*n**2. Give u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to -4\/27351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010010110111 (base 2) to base 11.\nAnswer: 7075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(320) + (sqrt(320) - (sqrt(320) - 1*sqrt(320)*-2)) + -2 - (sqrt(320) + (1 + sqrt(320))*-3)*-6))**2.\nAnswer: 37440*sqrt(5) + 490320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43025 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2412072 is divided by 281?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-13 + -4)) + (24 - 38) + 23.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64397734?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-21)\/(-14)*(-2)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/7 and (-6)\/(-22)*76\/(-8) - -3.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2816 divided by 1408?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7021*t**3 + 5*t**2 + 30*t + 738. Let i(l) = -3510*l**3 + 3*l**2 + 18*l + 369. Let p(d) = -5*i(d) + 3*z(d). Find the first derivative of p(y) wrt y.\nAnswer: -10539*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t = -35*t + 136*t + 558 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(192\/(-93) - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from wwwvvv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a*a*a*a*a*(a*a\/a**(2\/15)*a)\/a*a))*a*a)**(-41)*(a*a**(-3)*a)\/(a\/a**(1\/10)*a) assuming a is positive.\nAnswer: a**(-13453\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 + 20.4?\nAnswer: 346.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 + 1239. Suppose -10*n + a = -2445. What is the common denominator of -79\/4 and n\/50*5\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 26*b**2 - 38*b + 330. Suppose 303*a - 3399 - 6651 = -99*a. Give y(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2\/21)*l)\/(l\/(l\/(l**(-2\/11)\/l))))\/(l**(2\/13)*l**(-1\/2)))**(-5\/2) assuming l is positive.\nAnswer: l**(-103085\/12012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.43, -4, 113\/96 in descending order.\nAnswer: 113\/96, -1.43, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c162 + -5?\nAnswer: 9c15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*i = -2, -2*x - 11 = -4*i + 1. Solve 0 = x*j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 13, u: 2, y: 5}. Give prob of sequence yuuh.\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + (806 - 807)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a factor of 37173842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011111101101 (base 2) in base 4?\nAnswer: -1133231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3072.65 minutes to seconds.\nAnswer: 184359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 - -172. Let m be 1*(0 - -1 - -3). Suppose -3*y + 0*h + h + 13 = 0, 0 = -m*y + 3*h + 14. Solve -t*g + y = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*y + 90*y + 3 = 29 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9360634757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -6, 2093\/10, 3, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4, j: 15}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 321*x**2 + 1827*x - 168. What is a(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 27*c - 3. Let h be z(1). Let d be 12\/h*2\/4. Solve 0*i + d*i**2 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 986 divide 18563422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s**2 - 324*s**3 + 9*s**2 - 527*s + 527*s.\nAnswer: -324*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 20*z. Let m(b) = 21615*b**2. Determine m(p(w)).\nAnswer: 8646000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**4\/6 + a**3\/3 + 49*a**2. Determine q(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**5\/15 - 70*r**2. Let w(n) = -n**2 + 58*n. Determine d(w(h)).\nAnswer: 4*h**4 - 464*h**3 + 13456*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwq when three letters picked without replacement from qrqwaqqwwrwqrnandnnw.\nAnswer: 5\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 - 40 + 60)*(-1 + 0 - 4)*(3*q + 3*q - 2*q).\nAnswer: -2120*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5828 and 4.9.\nAnswer: -28557.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1177013*n**4 - 4*n**3 - 1143804*n.\nAnswer: -14124156*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(3\/2)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -181 - -197. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/(20*(-6)\/96).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13*6*2\/(-4). Suppose -2*s - 2*p + 60 = -32, -s + 31 = -4*p. Suppose 2*i - y - 150 = 0, -i + 4*y + h = -s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + -1. Suppose 5*g - 90 = -f, -2*g + g - 2*f + 27 = 0. Let d = g + h. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019 - 0.098?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1431*y**2 + 55*y - 2. Let a(w) = -w. Calculate i(a(f)).\nAnswer: -1431*f**2 - 55*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138 + 72. Let z = d - -135\/2. Let 3*n + z + 3\/2*n**2 = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 27 = 4*l - 1, -3*l - 4*w = -23. Let o(i) = -3*i**3 + 5*i**2 - 2*i - 5. Let u(h) = 5*h**3 - 8*h**2 + 3*h + 8. Calculate l*u(d) + 8*o(d).\nAnswer: d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 + q. Give y(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 32*q = 122. Suppose 44*o - 281 = -q. Let c(h) = -h**2 + 5*h + 8. What is c(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*c**2 - 1786194*c + 544284243 with respect to c.\nAnswer: 148*c - 1786194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -29, -39, -49, -59?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129\/65861 or -1?\nAnswer: -129\/65861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrj when three letters picked without replacement from {j: 3, r: 1, t: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31006734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 495 + -499. Put 1, -16, 0, t in descending order.\nAnswer: 1, 0, t, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 766.328 + -766.3. Let g be (9\/12)\/((-27)\/24). Which is the smallest value? (a) -3 (b) g (c) p (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 31*n - 7. Determine y(-7).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 534 and 979.\nAnswer: 5874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-18)\/l**(-3\/17)*(l**(-2\/19))**(-2\/109) assuming l is positive.\nAnswer: l**(-627445\/35207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 20*q + 17. Let c = 0 - -3. Let f(x) = 3 + c + 18*x - 11*x. Let l(b) = -17*f(b) + 6*r(b). Let a(s) = 3*s. Calculate a(l(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7\/21)\/(12*(-7)\/(-28))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 746\/14 - (-6)\/(-21). Suppose 2*q - 97 - 97 = 0. Let r = q - b. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -112197, -223593, -334989, -446385?\n\"Answer: -111396*y - 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001155779 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1980861*d**3 + 197223.\nAnswer: -5942583*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3*1\/9)\/(6\/(-1710)) is divided by 19 + 1 - -2 - -2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/20 + j**4\/12 + 29*j**3 + 7*j**2. Is 15 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299.4879l to millilitres.\nAnswer: 299487.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/5 in -1, 3, 2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**5\/4 + 2*f**2. Let l(k) be the second derivative of -k**4\/6 - 330*k. Give h(l(g)).\nAnswer: -60*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b + 5. Let n be i(5). What is the greatest common factor of n and 640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c - 8 = 4*b, 0 = -5*b + 5*c - 10. Put -3, b, 5, 4 in ascending order.\nAnswer: -3, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1232*s = -5*f - 1231*s - 1, -29 = f - 2*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16741*p**3 - 73993*p**3 - 42178*p**3 - 82517*p**3.\nAnswer: -181947*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/332)\/(11 - 513\/76). Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/16 and 37\/43772.\nAnswer: 175088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**4\/4 - l**3 + 9*l**2\/2 - 39*l + 37. Let f(s) be the first derivative of a(s). Factor f(d).\nAnswer: -3*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, n: 12}. Give prob of sequence nn.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 22.26. Let k = 0.409 - 0.609. Which is the biggest value? (a) k (b) -2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 3*r + 15 = 7*k, 3*r = -5*k + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10321752767*n - 10321752761*n + 20643505526*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 26 = -11. Let d(g) = 3*g - 3 - 5*g + g - 8. Let m be d(-11). Sort m, 4, u in decreasing order.\nAnswer: 4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.693 * -19\nAnswer: 32.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61010.\nAnswer: 2, 5, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c642 + -2?\nAnswer: 4c640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -19. Let v = -22 - i. What is the second smallest value in -1\/5, 1\/2, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.501, -3.5, -0.1, 2 in decreasing order.\nAnswer: 2, 0.501, -0.1, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -16*s**2 + 7*s. Let o(w) = 16 - 16 - 5*w + 11*w**2. Give 5*j(m) + 7*o(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 2. Let y(w) = 7*w**2 - 9*w + 2. Let z(a) = 11*a**2 - 14*a + 3. Let x(c) = 8*y(c) - 5*z(c). Let p be x(3). What is b(p)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.620156 tonnes in micrograms?\nAnswer: 1620156000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*r**2 + 0*r**2 + 5*r**2.\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-3)\/(3\/7) + (-41)\/(-820)*-76).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/(545\/90 - 6). Solve -5 = -11*t + p*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 32*v + 10283. Let o(x) = 15*x + 4746. Let n(h) = -6*m(h) + 13*o(h). Let d(p) = -223*p**2 + 3*p - 3*p. Give d(n(k)).\nAnswer: -2007*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43, -75, -105, -133, -159, -183?\n\"Answer: k**2 - 35*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -4, -3, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 13*n - 3. Suppose 5*y + 30 = 2*d, 11 = -2*d + 1. Let z(m) = -20*m + 4. Calculate y*c(q) - 5*z(q).\nAnswer: -4*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = -s, 38*s = 43*s - 2*t - 32. Let y = 210 + -118. What is the third smallest value in y, 1\/6, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -362*r - 844 - 4761 - 1273 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -951 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*s**2*t**3 + 4*s**2*t**2 - 3*s**2*t - 148*s**2 + 2*s*t**4 - 33*s*t**3 - s wrt t?\nAnswer: -96*s**2 + 48*s*t - 198*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 20 = -4*y, y = -12*r - 28 - 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - w - 8*w + 14*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18\/5 (b) -2 (c) 8 (d) -0.8 (e) -3 (f) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65\/4 - 337\/20. Let b be (1\/2)\/((-104)\/(-20)*(-155)\/248). Put b, l, 0.03 in descending order.\nAnswer: 0.03, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -1463?\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/805, 0.35, 6.\nAnswer: 1\/805, 0.35, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.53 + 2.47. Which is smaller: -33 or f?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -5, 8, 14, -1\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.4 + 2.8. Let k = 1.2 - s. Sort -2\/35, 0, k.\nAnswer: k, -2\/35, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 2)\/((-14 - -23)\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312972888 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaqa when four letters picked without replacement from {q: 13, a: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 722*w - 3674 with respect to w.\nAnswer: 722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1000122222000201?\nAnswer: -1000122222000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -7*q**4\/12 + 16*q - 3. Let x(y) = -2*y**2. Determine x(a(c)).\nAnswer: -98*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 24212, 2, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72292?\nAnswer: 2, 11, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -1 - (-6)\/2. Suppose -2*c = -k - r, k = 5*k + 3*c - 32. Solve 0 = 4*q - 3*q + k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4872, 9748, 14634, 19536, 24460, 29412?\n\"Answer: x**3 - x**2 + 4872*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 320647\/21942 + -2264\/159. What is the common denominator of s and -34\/207?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 115004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4681 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202 - 78099 = 1496*n + 2381*n + 29255 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1919*n - 154*n + 35241 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Let o = c + -5. Does 11 divide (66\/(-9))\/(o\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2*u**2 - 3*u**2)*(26*u + 20*u + 25*u)*(-4 - 9 + 0)*(-3*u + 2*u - u).\nAnswer: -3692*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -434 - -442. What is the units digit of (-25194)\/68*i\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 41 + 43 - 2*z**4 - 2*z**2 + 2*z**4 as n*z + x*z**3 + h*z**4 + g*z**2 + i and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -17694, 7 in decreasing order.\nAnswer: 8, 7, -1, -17694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-5*a + 2*a - 7*a) - 5 - 689*a - 1 + 0 + 6.\nAnswer: -669*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 81248662 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzz. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422880?\nAnswer: 2, 3, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -106246 greater than or equal to -106245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1568854364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 372.605888 + -472.6058916. Let a = 202 - 102. Let x = a + t. What is x rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 27*c - 64. Calculate the remainder when 66 is divided by n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/212 and 151\/642.\nAnswer: 68052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -2*q**3\/33 - 50*q**2\/11 + 102*q\/11 + 4413. Factor c(i).\nAnswer: -2*(i - 1)*(i + 51)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40.21 and -5.\nAnswer: -201.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4796349 grams?\nAnswer: 479.6349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147563.944 + 0.19.\nAnswer: 147564.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -10. Let f be (1 - (-7)\/(-9)) + 19835\/45. Let z be (-3)\/5 + f\/35. Solve 2*c + 6 = -b, -w*b + 2*b + 4*c = -z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, 0.3, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b + -1?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - ((-18)\/5 + 12\/20). Suppose 3*n = 5*w - 30, 4*n = 3*w - 18 - p. Let x(m) = m**3 + 5*m**2 - 2*m - 5. What is x(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306538831 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**4 + 2*l**3 - 2*l**2 + 3*l. Let u(h) = -2*h**4 - 3*h**3 + 3*h**2 - 4*h. Let c(y) = 3*m(y) + 2*u(y). Find the second derivative of c(x) wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4246346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 25*v - 226. Suppose -305*o - 137 = 4*o - 10025. Determine u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22, 129, 442, 1069, 2118, 3697, 5914?\n\"Answer: 18*m**3 - 5*m**2 - 4*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9965 - -9868.66. Round p to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((6*sqrt(19)*2 - (-1 + -1*sqrt(19))) + -2 - 3*(5 + 3*(sqrt(19) - (sqrt(19) + 4))**2)).\nAnswer: -157 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 24.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 5002\/11, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185\/3 - 62. Let l = 8 + -10. Let o = l - 0. What is the nearest to o in 4, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 107 - 388 = 0. Let m(k) = -k**3 - 3*k**2 + 6*k - 11. Let i be m(-5). What is the greatest common factor of i and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**3 + 9*a + 1. Let r(o) = 9*o**3 - 17*o - 2. Calculate 11*m(h) + 6*r(h).\nAnswer: -h**3 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9566502 take away 0.002?\nAnswer: -0.9586502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 1 - (-2 + 1). Let n = c - -5. Solve 23 = -4*m + j, n*j + 5 + 6 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -30592493 and -30592507 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 at most 84144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -216648 divided by -12036?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(24) - (sqrt(96) + sqrt(96) + (sqrt(96) - (sqrt(96) - sqrt(96)*4))) - sqrt(24))\/sqrt(12) + 2)**2.\nAnswer: -168*sqrt(2) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-81) - -292*5\/180?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*t + 18 = -77*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6801888, -6801890, -6801890, -6801888?\n\"Answer: h**2 - 5*h - 6801884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*d + 7, 27 = 5*n + d + 7. Suppose 2*p = -u + 322, n*u + p - 961 = -0*p. Calculate the highest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 - -110. Suppose -9 = -4*r + 11. Suppose 9 = -4*t + 1, -r*k - t = 12. Which is greater: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0 = -4. Solve 3*n + d + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6338057 - 6338055.0000004. Let t = i - 2. Round t to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = 5*k, 0 = -5*k + 3*k. Suppose -4*h = 3*p - 4 - 1, -5*h = -4*p + 17. Solve 0 = 2*x - o*a + 2, 2*a = x + p*x - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 17*k**2 - 15*k - 19. Let h be b(16). Let d(r) = r**2 + 3*r + 2. What is the remainder when d(h) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.006.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.2, 0.04, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -204, 3, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.405016645 - 1.4.\nAnswer: 2.005016645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + r + r - 1 + r**2 + 4*r. Let p be (3\/(-1))\/((-9)\/42). Suppose -p = 4*w + k, -19 = -0*w + 5*w + 2*k. Calculate f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*u - 195 = 3. Solve 0 = -u*b - 56 + 59 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3336840 and 23\/420.\nAnswer: 23357880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 32*p + 44. Give l(33).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c + 1. Is g(-3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/18576 and 55\/71768376.\nAnswer: 143536752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9 = -60. Let o = a - -81. Suppose -2*z - 5*y = -o, 3*z - z + 3*y - 108 = 0. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = y + h, 133 = -5*y + 2*h - 3*h. Suppose -48*u + 2337 = 273. Let t = y + u. Solve 4*w - t = -0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 4 + (-12)\/2. Let u = -50.37 - -0.37. Let s = 50.3 + u. Put s, 5\/2, z in descending order.\nAnswer: 5\/2, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*p + 15 = 0, 2*j - 5 = -j + 2*p. Suppose -6*s = -j*s - 34. Does 31 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -5*d - 4*i + 121, d = 2*i + 21. What is the highest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let f = -2 + t. Let g = -0.5 - f. Which is the third smallest value? (a) -0.4 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 34 = -0*v + 4*g, 372 = -4*v + 14843*g - 14807*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62, 122, 182, 242, 302, 362?\n\"Answer: 60*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/4 at least as big as -185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -406, -897, -1458, -2023, -2526, -2901?\nAnswer: -3082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - b - 2 - 0, -5*b - 10 = -5*t. Suppose -n - 1 + 9 = t. What is the smallest common multiple of n and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -2 + 120\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + -3*-1*(sqrt(242) + 0) + -5 + 4)**2*1.\nAnswer: -330*sqrt(2) + 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03753 and 3?\nAnswer: -0.11259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14765181 and 8?\nAnswer: 118121448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, -22\/9, -3, -57\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/14 and 25\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*a = 165*a - 352*a - 160*a - 54720 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 16. Let i be g(-10). Is 6236\/i*(1 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 4. Let b(m) = -m - 1. Give 4*b(c) + n(c).\nAnswer: -c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -1283, -2347?\nAnswer: -3411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356506549?\nAnswer: 7, 71, 717317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*x + 3)*(-3 - 2 - 3) - x + x - 2*x + 7 - 7 + 2*x as t + y*x and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o - 2. Let s be m(-1). Suppose 3131 + 44 = s*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8655.975 kilograms?\nAnswer: 8.655975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -126, -205, -226, -159, 26, 359?\n\"Answer: 5*g**3 - g**2 - 111*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 296 + -171. Suppose -4*k = 0, -k = 9*z - 14*z + 485. Let q = s - z. What is the highest common divisor of q and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.3 + 16. Let z = -0.5 - d. Let w = -0.7 - z. What is the biggest value in w, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12101.805 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*m**6 - 1576*m**2 wrt m.\nAnswer: 13560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5201 + -12?\nAnswer: 5145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/90 and 125\/16344?\nAnswer: 81720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.82 - 5?\nAnswer: -270.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2065 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l**5 + l**4 + 110*l**3 + 69*l**2 - 8*l - 4 = 0 for l.\nAnswer: -1, -2\/9, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12 = -0*i, -3*y = -2*i - 14. What is the units digit of -1 - (y + 1 + -25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*a**2*l - 4*a**2 + 300*a - 8566869*l with respect to a.\nAnswer: 110*a*l - 8*a + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -24. Let r = g - -0.9. What is the third smallest value in -5\/3, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11c + 312?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Let m be -1 + 3 + 2 - 2. Let v = 6 - 6. Let a(f) = 3*f + v*f - m*f + f. Calculate n(a(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + f - 1180 = 0, -4*o - 3*f = -850 - 720. Suppose 452 = 4*g - 2*z + 1218, 358 = -2*g - 4*z. Let t = o + g. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 64, 2\/9, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(190)\/sqrt(10) + -4.\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 11227 = -7917. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + (2 - (4 + -1)). Let l(x) = x. Let o be l(y). Let g be -2 - o - (3 - -1). Is 2\/43 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*x = 338945 + 69085. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2. Let p = 999 + -4173\/4. Let w = -44 - p. Which is greater: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*q - 320 = -68*q + 26*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*(-6*sqrt(170)*-1)\/sqrt(10).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68503452 divided by 787396?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -8*o + 3*o. Suppose 5*u = -5*p - 60, -o - 1 = 2*u + 3*p. Let b = u - -15. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37028 <= -37017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 - 312455?\nAnswer: -312515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, a: 11, h: 2, p: 1, d: 1, v: 4}. Give prob of picking 1 d, 1 p, and 1 o.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 317*s + 3*s**2 - 317*s - 2 in the form t*s + x*s**2 + i and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204559 is divided by 51067?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 14*u + g - 7, 2*u + 5*g - 14 = 0. Solve 2*f - u*f + 2*i = -19, -2*f + i = -8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 102*b - 106. Let y be u(-103). Sort 2, -570, y in descending order.\nAnswer: 2, y, -570","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.01 - -0.01. Let x be 2 + (-2)\/8*0. Which is the second smallest value? (a) x (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122.6485 nanometers to centimeters.\nAnswer: 0.00001226485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -961.42867478 - 0.0142\nAnswer: -961.44287478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -46, 2, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3)*-3 - sqrt(20))\/(sqrt(10) + -2*(sqrt(10) + sqrt(20)\/sqrt(2) + sqrt(10))).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*a + a. Let f(i) = -1 + 8*i + 54*i**2 - 4*i - a*i - i. List the prime factors of f(-1).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1440 and 864?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let d(x) = -2*x. Let a(r) = -3*d(r) - 4*o(r). Let n(s) be the first derivative of s**2\/2 + 1. Determine n(a(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -74. Let f be (-12)\/u - (3 - -1)*-1. Let d(n) = 10*n**2. What is d(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93873 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from xyymsxlyxisii.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 + (-114)\/(-8). Suppose 6*s = 26 + 4. Solve 35 = -5*t - s*r, 4*r + 12 = -3*t - f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2 and -95\/254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5280 - -5304. Solve o - 5*t = -23, -4*o + 4*t + 12 = p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvevevteqvq. Give prob of sequence tvqv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeas when four letters picked without replacement from {a: 4, s: 1, e: 3, t: 1, k: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 674?\nAnswer: 5\/674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -102.3 (b) 5\/3 (c) 676 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8567 is divided by 357.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-28) - 48\/(-21). Suppose -9*f - 14 = -t*f. Let q(j) = j - 1. Let k(r) = -5*r + 4. Calculate f*k(d) - 11*q(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 181479149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138506 or -138461?\nAnswer: -138461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -405 + 406. Which is smaller: b or 335?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) -3\/5 (c) 4\/3 (d) -0.706 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3414 - 4?\nAnswer: 3410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 11, -610 in increasing order.\nAnswer: -610, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 i, 1 d, and 1 b when four letters picked without replacement from dbbdididdoddbbbdo.\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 + 115*z + 50. Is 13 a factor of q(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*t + 33*t**2 + 92*t - 11*t**2 - 18*t**2 - 171*t + 283 to the form m*t**2 + k*t + g and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1132, -1130, -1128, -1126, -1124?\n\"Answer: 2*t - 1134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 5. Let f be v(-5). Let z = f + 14. Suppose 0 = -2*g - 6*w + w - 15, 2*g - z*w + 6 = 0. Let n(u) = u**3 + 6*u**2 + 3*u - 6. Calculate n(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i - 15, 4*i - 367 = -3*z. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44514435 + 4?\nAnswer: 44514443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 89535 to the nearest one thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140479 - -200837. What is the thousands digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**39\/c**(-1\/7)*c*c**(2\/37)*c*c*c**29\/c)**(2\/15) assuming c is positive.\nAnswer: c**(36362\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + l**2 + l. Let u(s) = -2*s**4 - 11*s**3 + 4*s**2 + 7*s - 22. Let i(f) = 4*o(f) - u(f). Find the second derivative of i(b) wrt b.\nAnswer: 24*b**2 + 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 369 and 39483?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*s + 80 - 326 = 0, -3 = -s. Let d = -61 - u. Is d at most as big as 3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4 = -5*s + 8, -3*s = -6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/13))**(-36)\/(m\/m**(-2\/27))**(2\/121))**(-8\/9) assuming m is positive.\nAnswer: m**(-2816656\/382239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9207 divided by 3863.\nAnswer: 9207\/3863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-258)\/(-2))\/((-3)\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47395, -94784, -142159, -189514, -236843, -284140, -331399?\nAnswer: -378614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1184, -1182, -1180, -1178?\n\"Answer: 2*q - 1186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -29315792 divided by -3664474\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*q*x**5 - 63*q*x**3 - 37*q*x + 2*q - 11*x**5 + 4277*x**2 + x + 1 wrt x?\nAnswer: 420*q*x**2 - 378*q - 660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -2563944\nAnswer: -2563943.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 4, -4, 2 in descending order.\nAnswer: 4, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22385 = -2*m + 3*x, 23*m - 26*m - 2*x + 33597 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 91*b + 5 + 3 + 34*b + 31*b + 28*b as c + o*b**2 + g*b and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -25.6 (b) 0.01 (c) 0.5 (d) -5 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16 - 2\/7*z**3 - 120\/7*z + 36\/7*z**2.\nAnswer: -2*(z - 14)*(z - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158 - -149. Calculate the remainder when 2*((s - -5) + 5) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 23*z**3\/3 - z**2\/2 + 112*z + 114. Differentiate m(f) wrt f.\nAnswer: 46*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2988870361 minus -206.88?\nAnswer: -2988870154.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g**(-1)\/g)\/(g**0\/g**(1\/3)))\/((g**(-1\/7)\/g**(-2\/5))\/((g**(-1\/7)\/g)\/(g\/g**7))) assuming g is positive.\nAnswer: g**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160 - 131. Calculate the remainder when o is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184072 divided by -8\nAnswer: 23009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 2 (c) -3 (d) 35.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19891446 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: Let j = -12\/11 - 9\/22. Which is the closest to -2? (a) 5 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -762*s**2 + 717*s + 45 = 0. Calculate s.\nAnswer: -15\/254, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 3105, 3\/10, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**5\/30 + 52*z**2. Let y(o) = o**2 - o + 1. Let h(b) = -9*b**2 + 2*b - 2. Let j(w) = h(w) + 2*y(w). Determine x(j(n)).\nAnswer: -98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -118.29036 - -3.5\nAnswer: -114.79036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2517 (base 11) to base 4\nAnswer: -303111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o - 454*o**2 + 432*o**2 + o)*(3*o**2 - 3*o**2 + o**2).\nAnswer: -22*o**4 - 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 21*u + 41. Let w be p(18). Suppose 0 = -l - 317 + w. Put 5, -2, l, 1 in ascending order.\nAnswer: l, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14676014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(198)\/(sqrt(18)\/sqrt(3)))\/(sqrt(75)*2) + (sqrt(99) - (sqrt(99) + (sqrt(99)*1 + sqrt(99))*-4))\/(sqrt(9) + -2*sqrt(36)))*-3.\nAnswer: -1 + 77*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p + 9. Let u(t) = 8*t + 15. Let q(f) = 6*f + 10. Let y(c) = 7*q(c) - 5*u(c). What is 4*j(m) + 7*y(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -3\/10 (c) 1 (d) -16 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, 1591\/5, -191 in descending order.\nAnswer: 1591\/5, 2.3, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1383, -1382, -1379, -1374, -1367, -1358, -1347?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.4 - -35. Let o = q - -2.5. Suppose -5*l - 21 = 9. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:15 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 divided by -22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {v: 9, l: 1, z: 1, w: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.95 + 31. What is the smallest value in -4\/5, q, -0.3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 264, -15, 3 in increasing order.\nAnswer: -15, 3, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*y + 16, 0*w + 25 = -5*w + 2*y. Let k be (-3)\/(63\/(-36295)) + 1\/w. Find the common denominator of 27\/10 and 2*2\/(-26) + k\/(-260).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 1)*(-1 - 2*x**2 + 1)*(-2*x**2 + x**2 + 0*x**2) - 4*x**3 + 4*x**3 + 4*x**4 + 2*x**4 - x + x.\nAnswer: 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**3\/3 + 5. Let n(z) = z. Determine k(n(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 28 = -0. Calculate the remainder when w is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j**4\/2 + 667*j**3\/2 - 1734*j**2 + 1498*j - 80 = 0.\nAnswer: 2\/35, 1, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -1\/81, -510 in increasing order.\nAnswer: -510, -0.04, -1\/81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 times -104873?\nAnswer: -12584.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:30 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((12 + -7 - -3) + 2 - 29)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (351\/(-2340))\/((-27)\/(-12))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-7.2\nAnswer: 0.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Suppose 0*u = u - 198. Let n(t) = -198 - 11*t + u. Calculate n(v(r)).\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20335, -20437, -20563, -20725, -20935, -21205, -21547?\n\"Answer: -2*a**3 - 88*a - 20245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*k + 41*k - 12. Let w(g) = g**3 - 8*g**2 - 4*g + 108. Let j be w(k). Solve -12 = 6*z + j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 24*v = 4*y - 55, -69 = -4*v - y. Suppose -v*a - 2*a - a = 0. Solve -3*f + a*l + 24 = -3*l, -5*f - 10 = 5*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 1. Let c(y) = -y**2 + 5*y + 7. Let q be c(5). Let j(d) = -d**2 + 8*d - 5. Let w be j(q). Suppose -w = x - 1. Determine s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpwb when four letters picked without replacement from pqwbqqpqppbbqwqbw.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -17 - 5 - -20 - 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 7, -2227 in decreasing order.\nAnswer: 7, -1\/4, -2227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90211603877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 16318 = h, -2*c = -h - 0*c + 16318. Let i = 489491\/30 - h. What is the common denominator of i and 80\/153?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 31*n + 865. Calculate w(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 18030*n**2. Let x(o) = 3*o**2. Give r(x(a)).\nAnswer: 162270*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*x**4 + 9 + 6*x**4 + 2*x**3 + 1 - 2*x - x**2 - 27*x**4 as g + h*x**3 + v*x**2 + p*x + q*x**4 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-65 - (-24 - -40 - (26 + 8)))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28348*q - 35 = 28349*q - x, 9*q = 3*x - 321 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 106*s**6\/5 - s**5\/5 - s**4\/6 - 712*s**3\/3 - 4*s + 442. Find the third derivative of o(h) wrt h.\nAnswer: 15264*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 284, 0 in ascending order.\nAnswer: -4, 0, 5, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 830, 1600, 2358, 3098, 3814, 4500?\n\"Answer: -z**3 + 777*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1417*u**3 + 1196*u**2 - 2*u + 2. Let v(y) = -5669*y**3 - 4786*y**2 + 9*y - 9. Let g(t) = 9*o(t) + 2*v(t). What is the third derivative of g(h) wrt h?\nAnswer: 8490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y**2 + y + 15. Let z be q(0). Suppose -5*o + 15 = 2*v, -35 = -2*o + 2*v - z. What is the second biggest value in o, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 + 29 = -999*i - 185 - 525 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/20*72\/1026?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(12)\/sqrt(2)) + -1)*2 + 2*sqrt(50) + sqrt(48)\/sqrt(6).\nAnswer: -2 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -813*a + 1518*a + 5268*a.\nAnswer: 5973*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62924321?\nAnswer: 73, 861977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.021 (b) -0.1 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6995*v + 7274*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 641*h**3 + 106026*h**2*k - 2*h*k + 16512*h - 220 wrt h?\nAnswer: 3846*h + 212052*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -94, -60, -26?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*r + 159 - 159 + (10*r + 5*r + r + (-1 + 4 - 4)*(2 - 2 - r) + 0*r + 3*r - r)*(2 + 3 - 2).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2105790 rounded to the nearest ten thousand?\nAnswer: 2110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -38*j**3 + 3*j**2 - 3*j + 3. Suppose 219*o + 12 = 3*s + 216*o, -4*o = 2*s + 4. Let m(p) = -38*p**3 + 2*p**2 - 2*p + 2. Give s*i(v) - 3*m(v).\nAnswer: 38*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axx when three letters picked without replacement from {v: 4, x: 9, a: 3}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032052 a multiple of 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*r, j = r - 2*r - 3. Suppose -2*n + m = -30, m - 4 = -n - 4*m. Let i = j + n. What is the smallest common multiple of 4 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - c**2 - c + 490000. Let m = -6 - -6. Let a be k(m). What is a rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*q - 38, -2*z - 2*q = q - 13. Let c(a) be the first derivative of -3 - z*a + 11*a + 2*a**2. Let f(n) = 2*n**2. Determine f(c(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 23*s**3 + s**2 - 8*s + 4. Let p be r(-11). What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-97)\/41613*-39)\/((-2)\/187)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3417444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-12))\/((-12)\/(264\/(-11))).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674406636.\nAnswer: 2, 3, 421, 133493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 - b23531?\nAnswer: -b2350a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - s = 4, -s + 8 = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 149 - 150 = 2*i, -10 = -i + 2*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 28 - 14)*(-2 + 5 - 2)*(5*r - r - 3*r)*(-2*r**2 - r**2 + 5*r**2).\nAnswer: -124*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -508599 divided by -3\nAnswer: 169533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 - 1)*(-66 - 2 - 3) - 3 - 4 + 3)*(2*y + 5*y + 2*y) to t*y + q and give t.\nAnswer: 1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1446324 (base 7) in base 9?\nAnswer: -328740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 8*n + 112. Suppose 5*i - 2 - n = 0. Let c = i - -1. Solve -3*d - 8 = -c*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 68*j**2 - 1\/60*j**5 + 1\/24*j**4 + 0 + 0*j + 1\/6*j**3. Calculate z(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -576*x**5 - 12*x**4 + 12*x**3 + 6*x**2 + 34*x. Let u(a) = a**4 - a**3 - a**2. Let f(p) = -j(p) - 12*u(p). What is the third derivative of f(q) wrt q?\nAnswer: 34560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 4*f + 31 + 19 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470381?\nAnswer: 37, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -5*k**7\/14 + 7*k**3\/6 + 20*k. Find the second derivative of r(p) wrt p.\nAnswer: -300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = 10 - 50 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Suppose 5*w - 4 = 3*w. Let c(u) = u**2 + u**2 - w*u + 2*u. What is c(z(h))?\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28637641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*c = 279*c - 576. What is the least common multiple of c and 558?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i**4 - 4644*i**3 - 190624*i**2 - 539124*i - 353160 = 0. Calculate i.\nAnswer: -135\/4, -2, -1, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 - -286. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2650 + -14?\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 0.14412?\nAnswer: 0.14412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:29 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-200)*(-8)\/(-3))\/(-2 + 175\/87)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -7 - -6) + 22. Suppose 2*b - t = b. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2728840 + -1898840. Suppose 2*p - a = p. What is p rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265 (base 9) to base 13\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 4*d**2 - 28589*d - 171502. Give t(-6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**3\/2 - 2*c - 47. Let d(k) = 5*k - 4. Determine l(d(u)).\nAnswer: 15*u - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/100*5)\/(33\/((-165825)\/30))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 8 - 19 = 0. Let c = w + 29. Let s(f) = -f**3 - 3*f**2. Calculate the least common multiple of c and s(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 + 12?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/171 and 93\/44498?\nAnswer: 400482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3472120 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) -0.2 (c) 3\/7 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1242)\/(-345) - 4) + (3 - ((-786)\/(-10) - 2)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3871245943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*k + 184 = -482*k. Calculate the highest common divisor of k and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g - 9109*g**2 + 164*g**6 + 9093*g**2 - 524*g**6 wrt g?\nAnswer: -43200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-4))\/(-1) + 2004. Suppose -1501 = 3*l - 2*m, l = -3*l + 3*m - t. Let f = l - -868. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19019, -38073, -57127, -76181?\n\"Answer: -19054*f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*a**2*c*f*r + a**2*c*f - a**2*f*r + 4*a*c*r + a*c - 2*c*f*r - 3*r wrt a?\nAnswer: 38*c*f*r + 2*c*f - 2*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 1, -6\/331, -2, 5, -26.\nAnswer: -26, -2, -3\/2, -6\/331, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/y*(y*y**(-2\/37))\/y*y*((y**(-4)\/y)\/y)\/y**(-2))**(-2\/45) assuming y is positive.\nAnswer: y**(974\/4995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/136 and 50\/17?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Let j(m) = -m**2 - 35*m - 269. What is j(s(d))?\nAnswer: -d**4 - 35*d**2 - 269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 2*w - 7. Let x(a) = -a**2 - a - 1. Let t(l) = k(l) - 3*x(l). Give t(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224706 and 786471?\nAnswer: 1572942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/61)*p*p*p**(-2\/37)*p assuming p is positive.\nAnswer: p**(6612\/2257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12934.09ml in litres?\nAnswer: 12.93409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -111, -282, -523, -834, -1215, -1666?\n\"Answer: -35*y**2 - 66*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*k - 5*k = 0, -3*h = -5*k. Suppose 5*n - 3*n - 14 = h. What is the remainder when 17 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzrroxrorxrxxxonj. Give prob of sequence xozj.\nAnswer: 1\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 180*h**4 - 1148700*h**3 + 1830164585*h**2 + 7946898050*h + 8614985405 = 0.\nAnswer: -13\/6, 3193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from ttrprrrp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 479 - -142. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*y**5 + 4*y**5 + 0*y**5 + (-2*y**3 - y**3 + 4*y**3)*(4*y**2 + y**2 + 0*y**2).\nAnswer: 29*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 4*m**2 - 2. Let i be n(4). Let k be i\/3*21\/(-2). Let w = 6 - k. What is the second smallest value in 3, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**2 + 1\/6*k**3 + 0*k + 0 - 1\/60*k**6 + 0*k**4 + 0*k**5. What is the first derivative of y(g) wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 37*y**4\/4 - 2*y**3\/3 - 74*y + 24. What is the first derivative of x(h) wrt h?\nAnswer: 111*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 9, 3, -5.\nAnswer: -7, -5, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqz when three letters picked without replacement from {q: 3, z: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 6*k - 2. Let w be o(7). Solve -w*f + 2*y = -3 - 20, 0 = f + 4*y + 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5809.\nAnswer: 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z + 29. Let s be 2 - (4 + 47)\/3. What is the tens digit of w(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -40. Let d(t) be the first derivative of 0*t**2 + 4\/3*t**i - 4 - 4*t. Differentiate d(r) wrt r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 5*v + 190, 12*y - 9*y + 3*v - 141 = 0. Let u be 64\/(-6)*y\/6. Round u to the nearest integer.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-7 + 9) - -26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6525, 4, 1, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-33))\/((-21)\/42).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/(-3724) + 12\/168?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*v - 14, -4*v + 1978*o - 1976*o + 28 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.0393 and 0.5.\nAnswer: -0.51965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 14480*a + 115921. Calculate j(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7803 = 31*m - 22*m. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 7*h = 0, 4*w = h - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-96)\/30) + 19\/5. Let q = -4.862 + -0.038. Let y = q + 0.9. What is the second smallest value in r, 5, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 4)*(1 + 4 - 6)*(3451*f + 78608 - 78608).\nAnswer: 17255*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12261, -24443, -36625, -48807?\nAnswer: -60989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -593 - -1336. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a + 13. Calculate i(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3952*y**3 - 103744*y wrt y.\nAnswer: -23712*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/17, 4, -5 in increasing order.\nAnswer: -5, 4\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63709351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 + 3*q**4 - q**4 + (-2*q**3 - 3*q**3 + 3*q**3)*(2*q - 4 + 4) + (-q + 3*q - q)*(-2*q**3 - 3*q**3 + 6*q**3) + 46*q**4 - 10*q**4 - 20*q**4.\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 - -14) + (-52)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 + w**2 - 2*w - 2. Let o be u(-2). Let l = -9 - o. Let j(a) = -a + 21. Calculate the remainder when j(l) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 10:23 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 12*n - 2. Let q(b) = -6*b + 1. Let f(v) = -3*g(v) - 5*q(v). Let t be f(-6). Calculate the greatest common divisor of 185 and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 21. Determine q(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3108 = -103*o + 168*o + 46*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -104111 less than or equal to -104157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*5\/50*8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-86)\/(-6) + 1\/(-3). Suppose 10 = -3*c - y, -5*c - f = -4*y + 3*y. Which is bigger: c or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -26. Suppose 2*q + 20 = -3*c, -5*q - 47 = -t*c + 45. Which is smaller: q or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzll when four letters picked without replacement from {h: 4, l: 5, z: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*z - 6*n - 21, -27 = -5*z + 3*n. Suppose -5*t + g + 8 = 0, -4*t + t + 2*g + 2 = 0. Find u such that -4*u - 2*u**t - 8\/3 - 1\/3*u**z = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8 = -y, -4 = -5*a + a - 2*y. Suppose a*p + 0*p - 123 = 0. What is the remainder when p is divided by ((-6)\/(-4))\/((-6)\/(-56))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 61\/2. Which is the second smallest value? (a) -2\/3 (b) -0.4 (c) 0.4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 517 + -516. What is the closest to s in 0.05, -0.4, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54654909 to the nearest integer?\nAnswer: 7393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4704 = 16*g. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (134\/4)\/((63\/(273\/13))\/3)*2?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 6416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 11*j - 2478. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + sqrt(625))\/sqrt(5) + sqrt(10)\/sqrt(2)*3.\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 412297*o**2 - 11*o - 9350815 wrt o?\nAnswer: 824594*o - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71292 is divided by 17717.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1937, -2283, -2861, -3671, -4713, -5987?\n\"Answer: -116*b**2 + 2*b - 1823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -624*m + 8793. Let k be z(14). Suppose -11 = -3*w + 46. What is the highest common divisor of k and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13338383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -2*h + 0 - 1\/16*h**4 + 1\/40*h**5 + 0*h**3 - 4*h**2 - 1\/320*h**6. Let o(x) be the first derivative of c(x). Factor o(f).\nAnswer: -3*f*(f - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.015206 times -12\nAnswer: -264.182472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -943876 - 1597243.\nAnswer: -2541119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -689\/20 - -99\/4. Calculate the common denominator of 79\/148 and q.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 189 + 69 = 0. Suppose 27 = -3*v - y. Let p = v - -22. What is the highest common factor of 35 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:45 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 1:54 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03114, -29, 4 in decreasing order.\nAnswer: 4, 0.03114, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -767742?\nAnswer: 614193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1107632, -1107643, -1107654?\n\"Answer: -11*i - 1107621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 73*z + 2636. What is h(-37)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2712309.86 rounded to the nearest one thousand?\nAnswer: -2712000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730687257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20650, -21004, -21592, -22420, -23494, -24820, -26404?\nAnswer: -28252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 7*t**2 - 8*t - 9. Let z be f(-6). Suppose 2*l + 4*d = 96 - 22, -z*l + 99 = 3*d. What is the remainder when l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2. Let t(o) be the first derivative of -o**4\/12 - 5*o + 2. Let j(w) be the first derivative of t(w). Give d(j(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 1\/2*q**3 + 0*q**5 + 0*q**4 + 0*q**6 - 2*q + 1\/42*q**7 + 0*q**2 + 0. Find the second derivative of a(n) wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257087197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19339?\nAnswer: 83, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.44, -7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 16 = 68 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44872 greater than 44940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3084191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*p = -p - 20, 5*p = t + 4. Suppose -s - t + 17 = 0. What is the highest common divisor of 121 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b - 3*b - 4*b)*(5 - 3 + 0) - 5*b + 4*b + 4*b)*(0*b + b + 2*b).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 17. Does 11 divide (4\/t)\/(1\/(-111))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5313 and 2093.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 3*y - 37, -31*c = -30*c - 4*y - 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.682632l?\nAnswer: 4682.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9\/(-27) + 146\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7, -13, -21, -31, -43, -57, -73?\n\"Answer: -f**2 - 3*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303436 is divided by 2232.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -867d + -44d?\nAnswer: -8acc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*n**5 + 1616239*n**3*z - 4*n*z - 183*n + 11146*z wrt n?\nAnswer: 300*n**3 + 9697434*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1583650*u + 799628?\nAnswer: -1583650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -632\/99 + -4282\/99. Is a at most as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-22*o**3 - 36*o**3 - 15*o**3) + (-2*o + 3*o - 4*o)*(-4*o**2 + o**2 + o**2).\nAnswer: 152*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-49)\/35 - 2) + 3. What is the biggest value in 9.3, 0.3, k?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*x + 2741 + 1529. Let w = -78 + 50. Let b be 3\/1*w\/(-3). Calculate the highest common divisor of x and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 y, and 1 u when three letters picked without replacement from uxyuy.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 13, o: 2, k: 5}. Give prob of picking 3 o and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0*r - 1\/12*r**4 + 0 - 1\/20*r**6 - 2*r**2 + 1\/105*r**7 + 0*r**3 + 1\/10*r**5. Find l such that v(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -0.077 (c) -3 (d) -1\/5 (e) -4 (f) -0.018\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 480 - 358. Round l to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**4\/12 + 7*j**3\/6 - j**2\/2 + 2*j. Let p be z(6). Calculate the common denominator of 3*(15\/54)\/p and 93\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 180, 0.1, -2\/19, -48.5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7896\/(-18) + -10)*(-3)\/6. Is y less than 223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, o: 1, h: 4, g: 1, v: 4, p: 2}. What is prob of picking 1 h and 1 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 107178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**2 + 271*w + 17. Determine z(-27).\nAnswer: -739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*b - 3*b + 180, -5*v = -5*b + 290. Solve b = 7*n + 104 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) - 104\/(-10). Suppose -2*n - 3*n + z = 0. Solve 0 = 3*i + n*i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, c: 3}. What is prob of sequence cuc?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9632*p + 9547*p - 36793*p.\nAnswer: -36878*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 5*t**2 + 1\/2*t**4 - 1\/20*t**5 - 2*t**3 + 0*t + 0. Factor m(s).\nAnswer: -3*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52020 and 1428?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0186 - -289.9814. Let r = v - 291. Put 5, 4, r, 0.3 in decreasing order.\nAnswer: 5, 4, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9137874547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(343) + 1 + 1)**2 - (((sqrt(77) - 1*sqrt(77))\/sqrt(11))**2 - (5 + -2*sqrt(7) - sqrt(7)))) + 4.\nAnswer: 25*sqrt(7) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00298047 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plw when three letters picked without replacement from {z: 1, l: 4, w: 1, p: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4 + 63*p**3 - 655*p**2 - 11079*p - 10360 = 0?\nAnswer: -8, -1, 35, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 2*j**3 + 0*j**3 + (-j**2 - j**2 + 0*j**2)*(-2 + 2 - 2*j) + (-3 + 3 - j)*(0 + 1334*j**2 - 800*j**2 + 1).\nAnswer: -529*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4)**(-11\/5)*(f\/f**(-6))**41 assuming f is positive.\nAnswer: f**(1391\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -216 + 117. Let v = -72 - k. Differentiate v + 87*l**3 - 44*l**3 - 49*l**3 with respect to l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-1\/21)\/i)*i\/((i*i*i**(1\/18)*i)\/i*i)*(i\/((i*i*i**3*i)\/i))\/i**(-18) assuming i is positive.\nAnswer: i**(1637\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11829, -47317, -106465, -189273, -295741, -425869, -579657?\n\"Answer: -11830*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6180 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 11:41 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4*10\/3. Let d be (12\/3 - 4)\/1. Suppose 5*g + d*g = 9*g. Is g at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + f - f + f - 3*f. Let s be v(-2). Solve -t + 5*t = -s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 64 = -200. Let b be ((-33)\/2)\/(168\/16 - 12). What is the greatest common factor of s and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111abb (base 15) to base 5\nAnswer: -202101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s + 216 - 354 = 0. Let x be (-6)\/42 - 1\/(-7). Let y be (10 + x)*(-5)\/(-10). Solve s*k = k + y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 120554417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48795543*r + 236825078.\nAnswer: 48795543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*(256\/(-48))\/16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -51*k. Let b(j) = -j + 494. What is b(t(i))?\nAnswer: 51*i + 494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -240, -676, -1330, -2208, -3316, -4660, -6246?\nAnswer: -8080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-49) - 7\/(98\/(-1236)). What is the highest common factor of c and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5800865 (base 9) in base 7?\nAnswer: -35415152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1245967*z**5 + 934954*z?\nAnswer: -24919340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/68*(-3 + -4) - -1. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-549)\/305*(-10)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:43 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*2)\/(-7 + 5). Let v(r) = 0*r - c + 0*r + 16*r - 2*r. Let g be v(1). Solve -3*k - 1 = -g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 822 - 727. Suppose -3*a + z + 107 = 0, -a + 5*z - 145 = -6*a. Calculate the remainder when f is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9808 - 1302.5.\nAnswer: 8505.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/8)\/((-105)\/(-84)). What is the third biggest value in 2\/5, 1\/8, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(693\/(-224)) + 4\/1. What is the closest to 8 in -4.1, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 13 = -13. Let b = 0.2 + -0.3. What is the nearest to b in m, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1417*u**3 - 26 + 27 - 687*u**3 + 689*u**3.\nAnswer: 1419*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a + 1. Let g = -9 - 0. Let l = g + 10. Give i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264562, 264558, 264554, 264550, 264546, 264542?\nAnswer: 264538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2084504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - 6. Let a = w - -17. Suppose a*h + 21 = 3*h. Solve 0 = 4*g - h + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/192270 and -14\/105806181.\nAnswer: 1058061810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*n + 5, -3*w + 4*w + 4*n = 2. Let r(o) = -o**3 + 12*o**2 - 19*o - 7. Suppose 7 = q - 3. Let c be r(q). Put w, c, -2 in decreasing order.\nAnswer: c, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206 divided by -206.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -2\/3, 1\/7.\nAnswer: -5, -2\/3, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -256204 and -256204 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x. Suppose 4*i - 7 + 0 = -z, 3*z - 12 = -3*i. Let y be q(z). Suppose -4*m = -4*j + 8, -y = -5*j - 3*m + 20. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/65538 and 37\/30.\nAnswer: 327690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 74995138.47 to the nearest 1000000.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -1)*56\/(-616). Is k smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 21 = -0*c + 3*g, 25 = 5*c + 3*g. Find the third derivative of 0*t**2 + 3*t**5 + 2*t**2 - t**c wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*j - 87 - 15*j - 66 to k + f*j and give k.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 216 + -59. What is the tens digit of s + (-2)\/4*(-16)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, 633\/317 in increasing order.\nAnswer: -0.5, 0, 633\/317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l + 4. Suppose 0*p = l*f - 2*p - 26, -p - 57 = -5*f. Let i = -104 + 113. Calculate the smallest common multiple of i and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2034096.\nAnswer: 2, 3, 31, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2694, 8472, 14250, 20028, 25806, 31584?\nAnswer: 37362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + -104 + 104.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537859 is divided by 64?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 12*u - 55 = 0. Let p be 0 - -2*(-2)\/(-4). Suppose x = -2*t - 3, -5*t - p = -2*x + u. Put 5, t, 0 in ascending order.\nAnswer: t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-1092)\/56)*3\/53\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.224244 millimeters to centimeters.\nAnswer: 0.6224244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 g when four letters picked without replacement from {v: 1, g: 1, p: 4, a: 2, q: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from {e: 5, f: 13, c: 2}?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -18*y - 63. Let h(u) = -44*u**2 - 2. Calculate m(h(i)).\nAnswer: 792*i**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 h when three letters picked without replacement from {y: 3, l: 4, h: 4, g: 6}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 973348 minus 0.06?\nAnswer: 973347.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*i + 36*i - 70 - 2554 = 0. Solve 14*a - i = 22*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 12*x + 2. Let w be g(-8). Suppose 30*v + 4 = w*v. Sort v, -4, 0, 4 in decreasing order.\nAnswer: 4, v, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tltumtllutc. What is prob of picking 1 t, 1 l, and 1 c?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*108\/3696)\/((-9)\/24)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**3 - 77*i - 83*i + 162*i.\nAnswer: 11*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 1 - (-90)\/(-15). Find the common denominator of (305\/35 + -4)*v\/(-20) and 51\/155.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/2 - 13737*x**3 + 136016736*x**2 - 562378173440*x + 779269072257024 = 0. What is x?\nAnswer: 2802, 8224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -373*i**2 - 41*i - 75. Give p(-2).\nAnswer: -1485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 66212 (base 7) to base 9\nAnswer: 24652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24\/11? (a) -11\/112 (b) -5 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390996.\nAnswer: 2, 3, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 587.115*-153\nAnswer: -89828.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -4887072?\nAnswer: 4887074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, k: 1, o: 4}. Give prob of sequence ko.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286294.\nAnswer: 2, 43, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-96)\/1100)\/(-2))\/(59*12\/1770)\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278263805.\nAnswer: 5, 443, 125627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3389 - -3469. Solve 9*z - 25*z = o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 70.8\nAnswer: -7.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -3, -8 in decreasing order.\nAnswer: 6, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 116147895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - n = 24, -4*f - 4*n + 1 = -23. Suppose x = -1 + 26. Suppose 5*q = 65 + x. Calculate the greatest common factor of f and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -37. Suppose l = -8*u - 57. Are u and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 100 = 3*u + 2*s, 3*u + 3*s - 195 = 0. What is the highest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 373666605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/7)*q)\/((q\/q**4)\/q)*q*q\/q**(7\/2)*q*(q**(-8)*q*q)\/q assuming q is positive.\nAnswer: q**(-19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 262858433.\nAnswer: -131429216.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -8*u**5\/3 - 238*u**4\/9 + 614*u**3\/9 + 136*u**2\/9 - 392*u\/9 - 32\/3 = 0.\nAnswer: -12, -2\/3, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-8) - (-15 + 15). Let d = 8 - 3. What is the third smallest value in d, h, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1457 and 3901?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120362533990544\/23441 - 5134701332. Let t = -1\/4262 + s. Calculate the common denominator of t and -7\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atattaatattaa. Give prob of sequence aaaa.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713121 is divided by 209.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n. Let q(l) = l + 0*l + 2*l + l. Let a(x) = 5*x + x - 5*x. Let k(c) = -16*a(c) + 5*q(c). Give k(y(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 176115 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1368 - 1375. Let c(s) = s**2 + 5*s - 8. What is c(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 15*r + 66. Give d(-24).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 = -v - 16*v + 533. Solve -23*i + v = 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**2 + y - 1. Let n(m) = -31*m**2 + 6*m + 66. Calculate -n(v) + 6*p(v).\nAnswer: -5*v**2 - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 50*m + 13*m + 36*m.\nAnswer: 98*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (168\/35)\/8*5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 11:56 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 12. Let f = -6 - t. Suppose -f*i - 2*p + 349 = 0, 3*p + 64 = i - 67. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5052, -5611, -6170, -6729?\nAnswer: -7288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 13, c: 3}. What is prob of sequence cccz?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let c(u) = -5*u**2 + u + 180. What is c(x(f))?\nAnswer: -5*f**2 - f + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3158*i - 648. Let h(p) = -2*p - 11. Let k(d) = 6*h(d) + x(d). What is the derivative of k(l) wrt l?\nAnswer: 3146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5890, 3, 0, 4\/21, 3\/2, -5.\nAnswer: -5, 0, 4\/21, 3\/2, 3, 5890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**3 + 25*l**2 - 179*l + 15. Calculate x(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2054.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -740+17.6027\nAnswer: -722.3973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -39\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40, -23, 20, 101, 232?\n\"Answer: 2*x**3 + x**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 250*v**2 - 34*v + 291*v**2 - 525*v**2 - 16*v**4 - 12*v**3 wrt v.\nAnswer: -384*v - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 24 = 4*w, 27 = n - 7*w + 2*w. Suppose -n*j - 387 = 4*t - 1211, 2*j = 4*t - 808. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*(-3 - (-3 - 0)))\/2. Suppose 4*o - 8 - 14 = -3*n, 2*n = -5*o + 24. Solve m*v = n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -47*c + 1. Is h(-1) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 30\/17 (b) -0.5 (c) -5\/123741\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 156\/104*20\/(-6). Let s = -27.4 - -27. What is the biggest value in s, -0.7, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199927 and 234.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, t: 1}. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 8*h - 11*h)*(0 - 1 + 0 + (-1 + 1 - 2)*(-5 + 4 + 2) + 3 - 6 - 6).\nAnswer: 228*h + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 80.00000101. What is s rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 12*u**2 - 11*u - 3. Let z be x(11). Let t be (z\/(-18) + 0)\/(3\/(-6)). Which is the closest to 6? (a) t (b) -0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2716875?\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**5\/5 - 2*v**4\/3 - 2*v**3\/3 + 15*v. Find s, given that n(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 - 3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*-1*sqrt(1815))\/(sqrt(15)\/sqrt(3)*-1 + (sqrt(605) - -1*sqrt(605)) + sqrt(605)) + 1.\nAnswer: -33*sqrt(3)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-693)\/84)\/((1\/((-16)\/(-2)))\/((-6138)\/3348))\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.097 + 0.103. Let c = 1383\/10 + -17259\/130. Let n = -530\/91 + c. What is the nearest to -0.1 in k, n, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h**0))\/h*h**(3\/4))\/(h**1)**(22\/3))\/((h**(2\/7))**(7\/5))**(-14\/5) assuming h is positive.\nAnswer: h**(-2239\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2 - 2)*(3 + 1 - 1)*(3 - 4 + 3).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5325003?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + -1030.712080381\nAnswer: -1030.662080381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -34\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 4:03 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098949779?\nAnswer: 3, 461, 264871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 + 2*r - 7. Let c be b(0). Let m be 42\/98 - (3 - (-39)\/c). Solve y - 1 = m*d, 2*y - 7 = -y + 5*d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 5:03 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 55. Suppose -3*o = 2*o + x*v + 12845, 5*o - v = -12865. What is the tens digit of (-9)\/15 + o\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17972 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 12*y + 11. Determine o(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 45297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + (-4845)\/345)*-2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 47. Let z(o) = -o**2 + 24. Let a(q) = 4*x(q) + 7*z(q). Let y be a(0). Let k = y - -67. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09116 - -0.091. What is b rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.02 - -0.02. Let t = 0.23 - 0.33. Put k, 5, t in decreasing order.\nAnswer: 5, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5393?\nAnswer: 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxjwwwxwxwxwwxx. Give prob of sequence wwj.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m. Let d(a) = -2*a**2 - 5*a + 5. Let y(o) = -o**2 - 2*o + 2. Let u(j) = -2*d(j) + 5*y(j). What is u(g(k))?\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**3 - 68*u**2 + 10*u + 9. Let a(o) = -3*o**3 - 33*o**2 + 6*o + 4. Let m(v) = -5*a(v) + 2*b(v). Find the second derivative of m(t) wrt t.\nAnswer: 18*t + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*a**2 + 346 - 346)*(-2*a + 3 - 3)*(a - 4*a + a - 2)*(0 + 5 - 4) as s + z*a**3 + g*a + t*a**2 + o*a**4 and give z.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7364972 and -53?\nAnswer: 7364919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -15*11\/55. Put -90, -2, 0.2, w in decreasing order.\nAnswer: w, 0.2, -2, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:55 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Let m(i) be the second derivative of -38*i**3\/3 + i**2\/2 - 41*i. What is r(m(p))?\nAnswer: 152*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 170470\/3 >= 56824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 2*m - 3, 5*z + 3*m + 9 = 4*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 9:34 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*t + 38*t - 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, x: 1, s: 2, d: 2, c: 1}. Give prob of picking 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -424, -634, -846, -1060, -1276, -1494?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/(5\/(-15)). Let d be 0 + 2 + (-11)\/7. Is d equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5 + 3. Suppose -3*j - 25 = -2*n, 0*j = -4*n - x*j + 74. Is -1 - -1*2*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1. Let b(q) = -36*q + 30. Let s(l) = b(l) + 8*z(l). Let y be s(1). Solve -5*x + y*f - 3 = -0*f, 5*f = 2*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)\/(a*a*a\/(a**(-6)\/a)))\/(a\/(a**(-2\/7)\/a)*a**(-6)*a))**33 assuming a is positive.\nAnswer: a**(-3069\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 - 5*f**3\/2 - 11*f**2\/2 + f. Let p be ((1 + 10)*-1)\/1. Is 10 a factor of z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -5263 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/12 + 25*p**3\/6 + 4*p. Let t be d(-25). Suppose t = m + 83 - 318. What are the prime factors of m?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 10:11 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-45)\/32)\/(30\/(-20)) and 151\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/20)\/(1\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 2*z - 12. Let s be ((-8)\/(-10))\/(z\/(-15)). Let h = s - -3. Solve -h = -2*j - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 11:05 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.61592 to one dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f - 6. Let t be s(-2). Let a be (4 - 7)\/(2\/t). What is the highest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325627 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(20\/50).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341575?\nAnswer: 5, 13, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 37 * -77\nAnswer: -2849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*h + 3, 0 = -5*h - 2 - 3. Let l be ((-5)\/3)\/(x\/(-6)). What is the units digit of (l\/4)\/(1\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 6*l + 134. Let q be x(15). What is the remainder when 198 is divided by q\/(-5) - 3184\/(-80)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15572193?\nAnswer: 3, 7, 13, 57041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 149 in 272, 3.4, 4?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2434 - -2441101?\nAnswer: 2433112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67034.\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(8\/13)\/(v\/v**(-16)) assuming v is positive.\nAnswer: v**(-213\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 671716 - 412829. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d - 5. Let n be l(2). Suppose -u = 4*g - 27, -5*g + 5*u = 17 - 57. What is the second derivative of g*o**5 - 3*o**5 + o**n - 2*o wrt o?\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.9199639 - 8.92. What is c rounded to six decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 0*b + 17 = 5*b, -2*i - 2*b = -10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/16)\/(f*f**(8\/9)*f))\/(f\/(f*f*f*f**(-23))*f**(1\/39)*f) assuming f is positive.\nAnswer: f**(-46991\/1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 11. Let o be (-6)\/(-10)*(r + 13). What is the greatest common divisor of o and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**4\/4 + 555*q**3\/4 + 32685*q**2\/4 + 379385*q\/4 - 103155 = 0. What is q?\nAnswer: -23, 1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = 3*w, -4*w - 5*n + 24 = 6. What is the nearest to 2\/5 in w, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwoooowwoowwo. What is prob of picking 2 w and 2 o?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b + 37. Let d be o(8). Let u be 27 + (-3 - (d + 3 + 0)). What is the remainder when (-7*(-8)\/u)\/((-2)\/(-48)) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48512 and 36384.\nAnswer: 145536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 10, -1, 11, -3 in ascending order.\nAnswer: -10, -3, -1, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-1))\/6*(34 + -55). Let n be z\/2 - 15\/(-4). Let 1\/4*u**2 + 0 - n*u**3 + 0*u = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/8 + 3*z**2 - 27*z\/8.\nAnswer: 3*z*(z - 1)*(z + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in 22, -5, -9, -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 35, 1, 74 in decreasing order.\nAnswer: 74, 35, 10, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1145 + 1506 - 802 - 3*m - 366 + 1527 - m**2 to b + r*m + l*m**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 5*p**2 + p - 4. Calculate c(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) -0.12 (c) 0.21 (d) 4\/3 (e) 0.1 (f) -90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(-3 - -3). Let m(u) = 2 + 0*u - u**3 - 5*u**2 + t*u. Let r(d) = 84*d**2 - 438*d + 85. Let a be r(5). Give m(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -15. Suppose 0 = -d - 4 + j. Suppose -5*i + 30 = -d*i. Calculate the remainder when 44 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 5308.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 39 + 87 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 3*b.\nAnswer: b*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17 - 17 + 111*s. Let z(v) = 6*v + 6*v - 2*v + v. Let w(x) = 2*l(x) - 21*z(x). Let i(c) = 2*c**2. What is i(w(m))?\nAnswer: 162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10849217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*w + 12, -206 = -4*d + 2*w - 194 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28013 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 4. Is 13 a factor of ((-25)\/(-10))\/((-1)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -0.1, -4, 2 in decreasing order.\nAnswer: 2, 1\/10, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lylj when four letters picked without replacement from ltjyyjlltllllljlljjt.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 526829?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, q: 3, o: 5}. What is prob of picking 1 o and 1 q?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-158)\/(-18) + -6 + 5. Let v = u + -508\/63. Let j = -24\/35 - v. Put 0.4, 4, j in descending order.\nAnswer: 4, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3938825 is divided by 238?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**4)\/y*y**(-3))\/(((y*y**(-1\/2)*y)\/y)\/y)**(1\/41))\/(y**(-3\/4)*y**(1\/5)*y**(1\/3)*y**(-5)) assuming y is positive.\nAnswer: y**(17783\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 4*m - 14*m**4 - 205*m**2 + 59*m**2 + 78*m**2 to g*m**2 + q*m**4 + c*m + w + v*m**3 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-3\/2)))**0*(r**(-2)\/r)\/r**(7\/2) assuming r is positive.\nAnswer: r**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1539) + -1 + sqrt(1539) + -2)**2 + 1*sqrt(1539)*-1) + -5.\nAnswer: -36995 + 702*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119*f**2 - 111845*f - 232796584 wrt f.\nAnswer: -238*f - 111845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 4. Let p(a) = a + 2. Let m(q) = 6*k(q) - 11*p(q). Let c be m(10). Let t be c*(-1 + 8\/6). Solve 0 = -t*w + 3 - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 17 = 7*p + 5*t, -4 = -t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 0.09, -0.3 in decreasing order.\nAnswer: 35, 0.09, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.456183827 to five dps.\nAnswer: 0.45618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526906 is divided by 2536.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 0.5 (c) -29 (d) -5 (e) -0.1 (f) -7.51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 214441 (base 6) to base 10\nAnswer: 17881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 - 10 - (1 - -2). Suppose 2*n - 2*s - 490 = g, -s = -4*n - 2*s + 990. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9860 and 893432?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 (base 14) in base 2?\nAnswer: 110001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001364884 to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*g, -2*x + 0*g + 128522 = -4*g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v - 90. What is b(26)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -200 in -0.3, -3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*i - 1, -2 = -3*i - m - m. Let g be i + 2 - (0 - -2). Let d be -3 - (-2 + -3) - -26. Solve 0 = -5*p - c - d, g = 3*p + c - 5*c + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 9*q = 4*q, 0 = 953*b - 948*b - 5*q - 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*39\/(-520))\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e998d + 0?\nAnswer: -2e998d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 7 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**3 + 3*q**3 - 19*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14410*r*y + 30*r + 1114*y + 58 with respect to r.\nAnswer: -14410*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 112*k. Let m be (18\/(-21))\/((-6)\/(-42)). Let r(a) = a. Let v(h) = -7*h. Let o(s) = m*r(s) - v(s). Determine l(o(i)).\nAnswer: 112*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 20*z - 16. Calculate b(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*1*2\/(-4). Suppose -119*n - n + 112 = -128. Suppose -7183 = -n*v - z, -13 + 4 = a*z. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2544 - 0?\nAnswer: 2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 9 = 0, 26 = 4*p + 4*w + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 162*w**5 + 5364*w**4 + 5666*w**3 - 3088*w**2 - 2528*w + 1024 = 0. What is w?\nAnswer: -32, -1, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 3*k + 2. Let x(c) = -3*c**2 - 2*c - 3. Give 5*n(m) + 4*x(m).\nAnswer: -2*m**2 + 7*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixx. What is prob of sequence ixx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/5 and 54\/(-55) - (-16)\/40?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 28. Suppose -y*n = -4*g + 10, 4*n + 10 + 0 = 3*g. Find the second derivative of 4*s**5 + g + s**5 + 4*s - 2 wrt s.\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35a643 (base 11) to base 6\nAnswer: -20120533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 9:46 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, 17, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/8 + (-136)\/(-128)*52. What is the greatest common factor of a and 1155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(10)\/sqrt(2) + (sqrt(640)\/sqrt(8))**2.\nAnswer: 3*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 288 + -301. Are t and 14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124121156 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/3092224 and 71\/625024.\nAnswer: 58752256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 574 - 105. Let j be 12\/(-18)*402\/(-4). What is the greatest common factor of j and d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/14 or -5\/94938?\nAnswer: -5\/94938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - l - 7, -4*l - l - 27 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d - d - 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 7, t: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(50 + 2 - 10)*(y - y - y).\nAnswer: 84*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11335, 137 in increasing order.\nAnswer: -11335, 3, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - w + 4 = 0, -4*l - 5*w + 18 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 6*r**2 + 5*r + 2. Let n be c(-5). Suppose -1 = n*z - 9. Solve z = -h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 + 4*r**2 + 4*r + 1. Let s(j) = j**3 - j**2 - j - 1. Let y(p) = i(p) + 4*s(p). What is the first derivative of y(k) wrt k?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*q**4 - 57*q**4 + 34*q**4 - 94*q**4 + (2*q**4 + 3 - 3)*(-3 + 1 + 1) to the form d*q**2 + o*q**3 + i*q**4 + n + w*q and give i.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 288 - 5757\/20. Let r = 0 + 3. Suppose 4 = -r*j + 7. Is h greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 36*i. Let c be t(36). Sort 4, c, -5 in ascending order.\nAnswer: -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128599789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2039*x. Let j(u) = -4 + 10 + 13*u**2 - 6 - 12*u**2. Calculate i(j(a)).\nAnswer: -2039*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 511410?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*i + 533, -5*i - 5*n + 680 + 205 = 0. Solve 90*o - 92*o + 175 + 5*o**2 - i*o = 0 for o.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226807785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 102*s + 1069. Give k(-11).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40967064 is divided by 17704.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w. Let a(b) = 113*b**2 - 3*b. What is a(s(y))?\nAnswer: 452*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -590352*s**5 - 229548*s**2 + 22*s wrt s?\nAnswer: -35421120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p - 10. What are the prime factors of u(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0*h + 11\/30*h**5 + 0*h**4 + 0 - 2*h**2 - 13\/6*h**3. Differentiate w(m) wrt m.\nAnswer: 44*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(1\/6)\/b)\/b)\/b)\/b*b*b*(b*b\/(b**(-5)\/b)*b)\/b*b*(b*b*b**0)**49)**48 assuming b is positive.\nAnswer: b**5096","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 747 + 530. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2373406 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 519 + -476. Suppose -f*b = -41*b + 10. Let q = 2 + -2. Sort 5, q, -7, b.\nAnswer: -7, b, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in 3, 247.8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28721472.4 rounded to the nearest one thousand?\nAnswer: 28721000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(-3 + 17 + 2)*(-3 - 1 + 5)*(2*d - 2*d + d) to t + x*d and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 213, 705, 1655, 3213, 5529, 8753, 13035?\nAnswer: 18525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 26*f + 13. Let c(v) = -v - 1. Calculate -13*c(d) - y(d).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:25 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(3024) - (sqrt(3024) - (sqrt(3024) + -2*sqrt(3024) + sqrt(3024))))\/(sqrt(28)\/sqrt(100)) + -2) + -1 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -33) + (-2 - 9) - -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(98) + 3*sqrt(45).\nAnswer: 64*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v**2 + 3*v + 19. What are the prime factors of l(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -15*c**2 + 1938*c - 529. Determine y(129).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2. Let z(b) = 5*b**3 + b**2 - 3*b**3 - 4*b - 4*b**2 + b**3. Let s(r) = 3*v(r) - z(r). What is the second derivative of s(o) wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16456)\/(-2904)*3\/(-34)*-76.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17963868.\nAnswer: 2, 3, 13, 115153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 7 + 17. Suppose -4*x = 2*y - q, 6 - 22 = -3*x - 5*y. Suppose 6 + 11*h**3 - x*h**3 + 6*h**2 - 18 + 15*h**2 = 0. Calculate h.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1809 - 195?\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -769898 * 0.56.\nAnswer: -431142.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2020000020 + 201?\nAnswer: -2013333213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101122 (base 3) in base 12?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - ((11 - 7) + -1 + -1). Let c(b) be the third derivative of 4*b**2 - 1\/24*b**4 - 2\/3*b**d + 0 + 0*b. Calculate c(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 42.6\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 21*x**2 - 5669*x - 5957. What is d(271)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 + -289. Let i = t - -114. Which is the third smallest value? (a) -8 (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -638841 (base 10) to base 16\nAnswer: -9bf79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 - 6)*(0 - 4\/(-6)). Which is the third smallest value? (a) l (b) 1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18829.\nAnswer: 19, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 12939.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2. Suppose 0 = -2*t - 2*t. Let d(l) = -l + 0 + 8 - 4 + t*l. Let r(m) = 3*m - 11. Let s(n) = 11*d(n) + 4*r(n). Determine s(u(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130086 and 2873134.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2607 is divided by 57.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((17 - 20 - (4 + 2)) + 23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2218636?\nAnswer: 2, 7, 17, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 121 = 57 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -40. Let m = -15.07 - i. Round m to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -816 + 815. Which is the nearest to -1? (a) 5 (b) -3 (c) f (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4275 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: Simplify -4*((-2 + sqrt(700) + sqrt(700) + (3 + sqrt(700)*2 - sqrt(700)) + -3)**2 + 1).\nAnswer: -25220 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/39)*d**(-8\/7) assuming d is positive.\nAnswer: d**(-298\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 2*o - 3*o**2 + 2*o - 2*o to s + n*o**2 + x*o and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12786\/455 + -100\/91. Let j = k + 29. Let i be 130\/25 - (-1)\/(-5). What is the smallest value in j, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*y + 11*o, -2 = 5*y + 3*o + 31 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 675 - 363. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 12) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-7))\/(1\/((-4)\/(-8))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 15*l - 39. Let k be a(17). Let f(y) = -439*y + 14. Is f(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**3 + 905202*r**2 + 2*r + 5084859.\nAnswer: 9*r**2 + 1810404*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - 25. Let x = h + 94. Let r = -38 + x. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.125 - 165.125. Let p = -164 - x. Which is the smallest value? (a) p (b) -2\/7 (c) -1\/5 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2) + 8\/6. What is the third smallest value in -2, d, -0.8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1251)\/1668*2\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 27*c**2 - 60*c + 259. Calculate u(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 552\/28 + (-4)\/(-14). Let q be -1*((10 - 8) + 4*-1). Let j be (93\/6)\/(1\/q). Solve 2*a - z = -5*h - 49, -j = 5*h + 3*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 40805*j - 3989286.\nAnswer: -(j + 98)*(j + 40707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, k: 1, i: 1}. What is prob of sequence il?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + b. Let m(l) = l**2 + 5*l + 7. Let a(d) = -d - 1. Let o(y) = -6*a(y) - m(y). Let s be 2\/((-5)\/((-10)\/(-4))). What is s*o(r) + 3*w(r)?\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - 76\/(-90). Let u = -3131 - -3128. What is the second biggest value in z, 0.2, u, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-42)*(30 + 0). Suppose 0 = 4*p - 5*q - 29, p + v = 3*p + 2*q. Suppose 4*a + 2*h - p*h - 76 = 0, -2*a + 34 = 2*h. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-18) + (-16)\/12. Let v(t) = -9*t - 5. Let z(y) = y + 1. What is a*v(i) + 3*z(i)?\nAnswer: -6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 206779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.22, -3 in descending order.\nAnswer: -0.22, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -67453782 divided by 22?\nAnswer: -3066081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -594, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3666910 is divided by 248?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y + 6. Let g be w(5). Suppose 7*s - 3*s - 260 = 0. What is the greatest common factor of s and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26641039 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: Is 400571328 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -0.2, -4 in decreasing order.\nAnswer: -0.2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 24\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 + 7*w + 21 - 34 + 12 to the form q*w**3 + u*w**2 + m + k*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*r + 911 = -92*r + 9506 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.53635ml in litres?\nAnswer: 0.03253635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6168*c + 3508*c - 2596*c + 4245*c + 281*c.\nAnswer: 11606*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4)*o*o*o**4*o)\/((o**(3\/7)\/o)\/o**2) assuming o is positive.\nAnswer: o**(289\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332330303131111 - -3?\nAnswer: -332330303131102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/3 + 12 - (-44)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910881 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 - 17 = -6*l. Suppose -3*m + l*m = 1170. Calculate the remainder when m is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, 5\/2, 60, 0.6, 4\/3.\nAnswer: -0.5, -0.1, 0.6, 4\/3, 5\/2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*p**5 + 2983*p**4 + 3*p**3 - 2*p**2 - 11*p + 163075?\nAnswer: 4500*p**2 + 71592*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9563.9 rounded to the nearest one hundred?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4184092 divided by 44.\nAnswer: -95093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 739549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + w + 1. Let p = 1 + -2. Let m(c) = 3*c - 3*c - 5*c**2 - 3 - 3*c + c**3. Give p*m(r) - 5*i(r).\nAnswer: -r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 7*k**5\/20 + 8*k**2. Let q(j) be the second derivative of -j**4\/6 - 2*j - 4. Give v(q(a)).\nAnswer: 84*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53232167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12. Let v(y) be the first derivative of y**2\/2 - y - 333. Give -f(b) + 2*v(b).\nAnswer: 2*b + 10","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 4825 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 the biggest value in 1, -5, -2\/3, -8, -252?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20988*z - 5*y - 17 = 20987*z, 0 = -2*z - 4*y - 22 - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -409992 - -410508.767. Let p = r - 517. Let s = p - -0.26. What is s rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18165 divided by 3.\nAnswer: -6055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6498 or -6501?\nAnswer: -6498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.6 - 19. Let o = h + -3. Let z = -122 - -126. Which is the biggest value? (a) o (b) z (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*g - 56 + 8*g - g**2 - 21*g with respect to g.\nAnswer: -2*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*z**4 - 2*n*z**2 - 626*n + 47*z**4 - 216*z**3 - z**2 wrt z.\nAnswer: -48*n*z + 1128*z - 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -36*k - 9. Let v(d) = -18*d - 5. Let t(l) = -6*a(l) + 11*v(l). What is the remainder when 678\/21 - 4\/14 is divided by t(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2805*t**2 - 9402*t**2 - 4206*t**2)*(-6 + 6 + 0 - 6) as c*t**2 + g + q*t and give c.\nAnswer: 64818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/75)\/((-9)\/(-225)*-5)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 0*m - 4 - m + 5 - 2. Let n(i) be the first derivative of 1 - 5*i - 7\/2*i**2. Determine 5*g(d) - n(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llcllcc. What is prob of picking 2 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8939.252 centuries in years?\nAnswer: 893925.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112001 (base 3) to base 12.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 5183 + 3430 = 0. Is 120 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004833 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9526977?\nAnswer: 3, 117617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/7))\/(n*n*(n**(-6)*n)\/n)*(n**2\/n)**(6\/17) assuming n is positive.\nAnswer: n**(688\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 16, 9*i - 3*j - 632 = 4*i. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/8 less than -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + 0 - (-1 - (80\/8)\/(-10)). Let j = 451\/2 + -219. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*w**3 - 186*w**3 - 192*w**3 + 546*w**3 + 110*w**2.\nAnswer: -19*w**3 + 110*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -621 by -3.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-36)*(-45)\/(-2) + -2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9) - 9\/1134*-82.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n = 29*n - 624. Suppose -11*f + n = -5*f. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -300347 = -12314188\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 4 - (4 - (-53 + 12))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 31 = -107. Suppose -c + 6 = 4*n - 10, -29 = -5*n + c. What is the first derivative of -p*k**3 - 3 + 0 + n + 0 wrt k?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 65*i**2 + 151*i - 40. What is a(30)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 18. Differentiate m + h*m**2 - m - 24 + 20 wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49872 and 8.\nAnswer: 49872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubb when three letters picked without replacement from bmbcmmubmlcbbmmcmulc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -218021522+-4\nAnswer: -218021526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3703 - -0.3703. Let h = -197\/228 + 18\/19. What is the closest to z in -2, 5, 4\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 15\/(-18))*-124. Let q = 21 - y. Let f be 3\/(-1) - (-95)\/35. What is the biggest value in -5, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 10 = 34. Suppose 12 = i*x, -19 = -5*h + 2*x + 15. Solve 3*l - 14 = 3*z - h*z, -5*z = l - 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (45\/(-18))\/(-2*2\/8). Suppose 2*q = 5*q + 12. Let t(s) = s + 1. Let m be t(3). Put q, m, b in decreasing order.\nAnswer: b, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 2 (c) -0.23 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -840.99 + 841. Which is the second biggest value? (a) o (b) 0.5 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 69. Let h be (-2)\/((i\/(-2))\/((-6)\/(-8))). Suppose 4*o - h = 31. Calculate the greatest common factor of 72 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2331*l = -2*t - 2336*l - 21, -20 = 4*l. Let u(n) be the first derivative of -1\/3*n**3 + 44 + 2*n + t*n**2. Give u(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 106*u - 93*u - 4*s, -s + 7 = -2*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 23, 12 in descending order.\nAnswer: 23, 12, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3633102\/(-184734))\/(2\/12*2)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18124, 18123, 18122, 18121?\n\"Answer: -c + 18125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 2*f - 1. Let r be y(-2). Suppose 9*j = 23*j + 15*j. Suppose j = 4*h - 16 - 4. Put r, 4, h in increasing order.\nAnswer: r, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3707980?\nAnswer: 2, 5, 397, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2265245 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**3 - 56149849*j**2 + j + 17403842?\nAnswer: 3*j**2 - 112299698*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7147*y - 957*y = -657*y - 178728 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 5*o - 1. Let t be i(-6). Let w = 11 + t. Suppose 2*d - 6 = -w*x - 0*x, 2*d + 9 = x. Solve 0 = x*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.6 + 3. Let b = -13.4 + i. Let y = -15.999906 - b. What is y rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, e: 5}. Give prob of picking 2 s and 1 e.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - 65. Let j(w) = w**3 + 5*w**2 + 4*w - 2. Suppose 0 = 5*t + 3*b - 115, t - 2 = b + 13. What is the smallest common multiple of j(g) and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 44.999905. What is b rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22339 and 5224063?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 9*c + 1 - 7.\nAnswer: -9*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3794616 divided by -42?\nAnswer: -90348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*p**4 - 2663*p**2 + 6*p**3 - 2637*p**2 - 32*p**3 + 881*p**2 + 211*p**2 wrt p?\nAnswer: 192*p - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ududuuuddduuuuuduu. Give prob of picking 1 d and 3 u.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*(-6)\/(-189) - 4813\/(-9). Find the common denominator of 28\/5 and -1 - -1 - (q\/70)\/(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*u, -392*c - 4*u - 10 = -390*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.39 + 8.39. Which is the third biggest value? (a) 0.5 (b) -0.5 (c) 1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 11*b**4\/4 + b - 169. Determine h(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -596 and -0.09.\nAnswer: 53.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(234\/12))\/(((-1)\/(-18))\/((-2756)\/(-5936))).\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 0)*3\/2. Suppose 0 = -g*k - 4*j + 2761, -3*j = -k - 2*k + 2796. Let m = -6474\/7 + k. What is the common denominator of -89\/2 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*g + 15, -3*q + 11 = 5*g - 46. Suppose 0 = -4*l + 5*t + 79 - q, 0 = -5*l - 2*t + 77. Let d(f) = f**3 - 15*f**2 - f + 8. Calculate d(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -2\/11, 7, 1\/4200, 2\/17 in descending order.\nAnswer: 7, 2, 1, 2\/17, 1\/4200, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*w + 14714 = -17700 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 + 3\/((-45)\/(-1506)). Let l = -98 + o. Suppose -l*u = 4*d + u - 27, -4*u = 4*d - 28. Solve y = 3*y - d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011958417 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (84\/(-7))\/3 + 14. Solve -2*d + t = 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o + 30. Suppose 2*y - 31 = o. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 2*u - 7. Let g be (-28)\/(-18)*3 - (-90)\/270. Let v(l) = 14 - l**2 - 3 + 2*l + l - l**2. Calculate g*v(o) + 8*r(o).\nAnswer: -2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 14. Let i be o + ((-102)\/(-9))\/(-2). Suppose 12*h + 24 = -96. Is h >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5))\/i*i**5\/i)**(-1\/2) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5805689316?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 74, 18177 in ascending order.\nAnswer: -3, 74, 18177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5354 (base 10) to base 12\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 90.7996ug?\nAnswer: 0.0000907996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 5. Let q = 370\/3 + -123. Which is smaller: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**3 - 8*d**2 + 10*d + 2. Let z(v) = -3*v**3 + 7*v**2 - 9*v - 2. Let f(y) = -2*w(y) - 3*z(y). Let j = 7 + -13. Determine f(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 1500 = -102*u + 40*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b**3 - 2*b**2 - 8*b. Let d(y) = y**3 + y**2 + y. What is -c(p) - 6*d(p)?\nAnswer: 3*p**3 - 4*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 63979, 63962, 63945, 63928, 63911?\n\"Answer: -17*c + 63996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4697659, 5, 3 in ascending order.\nAnswer: -4697659, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*(-6)\/(-627) - (-1)\/(-11)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofzoozfzffzzffzfo. Give prob of picking 2 o and 2 z.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + -37. Let w(t) = -21*t + 3. Let u be w(2). Let o be (-2)\/(-2 + j\/u). Solve 4*c + c - 21 = -m, 2*m = c - o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-77)\/54 + -1 - 35\/(-14)). Solve 26*f = 35*f + t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 0*i + 5*i**2 + 1\/40*i**6 - 13\/120*i**5 + 1\/24*i**4 + 0 + 0*i**3 - 1\/21*i**8 + 16\/105*i**7. Let m(t) = 0. Calculate t.\nAnswer: -1\/2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 557*u**3 + 207 - 205 + 789*u**3 - 127*u**3 to the form t*u**3 + i*u + d + s*u**2 and give t.\nAnswer: 1219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20094202 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from hkx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3273024\/13 at most as big as -251770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 + -133. Let c be ((-128)\/24)\/(4\/30). Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4516334921 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 2\/5853, -2\/7, 3?\nAnswer: 2\/5853","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00043605 rounded to six decimal places?\nAnswer: -0.000436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 7:48 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 5210?\nAnswer: 88570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 18 + 6*r + 14.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7472 = 26*u - 1088 - 1086. Solve 353*f - u*f = 36 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/1209 in -0.28, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.1 (b) -2\/3 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 9*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) 2\/11 (c) -2\/9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30002)\/(-182) + (-4)\/(-26).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*z - 8423 + 6197 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55 - -5b?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-142*n - 129*n + 257*n)*(2*n + 3*n + 1 + 0*n) to the form x + m*n**2 + f*n and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 1 + 1)*(2 - 2 - 2) + (-3 - 2 + 6)*(20 - 20 - 12*z).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*n = 48 + 30, -3*d - 2*n + 77 = 0. What is the remainder when d is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 at least as big as 1631\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + (-20 - -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 69 (c) 0.5 (d) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + (-3 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t = 110 + 75. Solve -4*b + 7 = -t*o, -5*b = -2*o - 4 - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(152\/44)*(-4)\/54)\/(5\/30)?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = 29*s - 23*s - 293832. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**4 + 4*m**2 + 2. Let x(l) = 6*l**4 - l**3 - 12*l**2 - 7. Let n(t) = 7*r(t) + 2*x(t). Find q, given that n(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2670 and 1.\nAnswer: 2670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 8:55 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2649*b**3 - 1 + 2 + 2667*b**3 - 1.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (14*(-230)\/(-7728))\/(5*1\/(-2))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbb when three letters picked without replacement from bbbqbbbbbbbb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/5 (b) -3 (c) 0.4 (d) 44\/5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(12\/(-8) - -2). Solve -5*a = 8 + z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105957038 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 10*x = 2*v - 16813, x + 2*v = 5611. Is x a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3.004. Round l to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5725455068?\nAnswer: 2, 173, 8273779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/128 and -11\/128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**8\/60480 - x**7\/3780 - x**6\/720 - x**5\/4 + 6*x**2. Let j(h) be the third derivative of f(h). Factor j(n).\nAnswer: -(n + 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77573*h*o**6 + 3697748*h*o**2 - 8*o**6 wrt o?\nAnswer: 9308760*h*o**3 - 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*i + 2*b + 24 = -174*i, -i = -4*b - 13. Solve 4*n + l + i = 16, l = -n + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 14 + 452*m - 216*m - 235*m. Determine t(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3685 - 4?\nAnswer: 3681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17262, -34560, -51858, -69156, -86454, -103752?\n\"Answer: -17298*x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 6. Let n(f) = -4*f + 7. Suppose 0*k - 2*k = 12. Let l(b) = k*n(b) - 7*u(b). Let i(t) = t + 1 + 2*t - 1. Determine -6*i(v) + 5*l(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 17298 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -15 + 8 + 0 + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 353779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20666 to the power of 1\/3, 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 16 + (4 - -8 - 25) - 24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.1, 5, -5 in decreasing order.\nAnswer: 5, 0.1, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than 1730\/329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 - -0.3. Let d = -0.2 - -0.1. Let i = 1 + -2. Which is the nearest to d? (a) i (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -144 in -2\/15, -0.1, -1\/7, 84, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 0*g - 3*g - 7 + 72*g**2 + 3 + 4*g. Let f(i) = -i**2 + 18*i - 20. Let h be f(17). Is n(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.16 - 0.16. Let f = -875 - -903.66. Let v = j - f. Round v to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7723961+-0.1\nAnswer: -7723961.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egqk when four letters picked without replacement from {y: 1, q: 1, e: 2, g: 1, k: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 95, 166, 253, 362, 499, 670?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*y = -5*q - 39, y - 10 = q. Suppose -7 = d - 5*r, 0 = -r - 0*r - 1. Which is smaller: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2675 - -2699. Solve 16 = -r*c - 80 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11401729 - 11*n - 11401729.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 928746 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + a + 8, -4*z + 4*a + 23692 = 23660 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*-8*(-8)\/256. Solve 3*c - 5 = 2*j - 14, -c - m = 2*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d53d69 + -27?\nAnswer: d53d42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + -0.42. Let x = -2 - -4. Suppose 4*s = -2*o - 16, x*s = -3*o + 1 - 13. Which is the third smallest value? (a) q (b) s (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujaa when four letters picked without replacement from {z: 1, j: 1, u: 2, a: 2, f: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 12\/25 (b) 107 (c) -0.2 (d) 146\/9 (e) 0.5 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 274.8804 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-15) + 2\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 - 79*p - 135. Let c(r) = 2*r**2 - 78*r - 136. Let k be ((-320)\/12)\/8*3\/2. Let n(d) = k*c(d) + 4*h(d). Determine v so that n(v) = 0.\nAnswer: -35, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 4 (b) 3.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/5 + (-4)\/10. Let j be ((-9)\/12)\/((-1)\/4). Suppose 0 = l*v - 10 - 10, 10 = -r + j*v. Solve 2*a - 13 = -r*g, -3*a + 9 = -0*a - 3*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, -2, -1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 25 + 7 = 4*c, -3*z - 30 = -5*c. Suppose 0 = c*m + n - 1 - 6, 2*m - 4*n = 14. Suppose 0 = -4*y - a + 23, -m*a + 7 + 2 = 0. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 2*t - 6. Let d be b(2). Let w be (-3)\/d*(-6)\/(-2 - -1). Solve -8 = p + w*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3936 and 40672328?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 216160468*j + 270414006 wrt j?\nAnswer: 216160468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 392886032 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1375 - -6454. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/23 - 40\/989. Let d = 899\/86 + z. Let -d*l**4 - 6*l**5 + 3*l**3 - 3\/2 + 12*l**2 + 3*l = 0. Calculate l.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d - 2*d + d)*(-2 + 2 - 1) + (30 + 7*d - 30)*(0 + 4 - 1) to the form n*d + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(12) + -5*(sqrt(3) + -1 + sqrt(3)) + -4.\nAnswer: -8*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 753, 759, 769, 783, 801?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -1a3?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 16 + 33)*(0 - 3*w**3 + 0) to t*w + d*w**3 + u + o*w**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 - 44 = -4*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, a: 3, w: 3, u: 6, y: 1}. Give prob of picking 1 y, 1 w, and 2 a.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5434843?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**3 + 2*b**2 - 2*b - 2. Let z(s) = -4*s**3 - s**2 + s + 3. Calculate -3*c(f) - 2*z(f).\nAnswer: -7*f**3 - 4*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9034\/78 - (-32)\/(-48). Let k = 115 - q. Let h = 8 + -8. Which is the closest to 1\/4? (a) k (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -2)\/(6\/(-375)*-5). Let s = n - -26. Is 54\/s + -2 + (1 - -1) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 674*a**6 + 2*a**5 - 591*a**3 - 371323*a**2 - 1 wrt a.\nAnswer: 80880*a**3 + 120*a**2 - 3546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209578 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 15*a + 21. Let s be r(16). Suppose -16 + 41 = s*m. Sort -3, m, -1 in descending order.\nAnswer: m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6244557289.\nAnswer: 5309, 1176221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 105, -8, -0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*2\/4*840\/63. Suppose 8*r + 0 = c. Factor -3*s**3 + 3\/4*s**r + 3\/2*s**2 + 0*s**4 + 9\/4*s - 3\/2.\nAnswer: 3*(s - 1)**3*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - -6*(sqrt(170) + sqrt(170)*3)) + sqrt(170) + sqrt(170))*5)\/((sqrt(90)*2)\/sqrt(9) - sqrt(30)\/sqrt(3)*-2).\nAnswer: 135*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*z - 2*z - 34 = 0, -2*a = z - 19. Suppose a = -u + 3*u - o, 27 = u + 4*o. Let i(t) = -t**3 + 6*t**2 + 4*t. Give i(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 29308.\nAnswer: 3\/29308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000056 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 3*r**2 - 4*r + 7. Determine v(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377 - 1134 + 385 - 5704*l + 372.\nAnswer: -5704*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805301265 to the power of 1\/4, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -670 + 677. Suppose -4200 - 5313 = -l*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 725 by -791.\nAnswer: -725\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23\/((-1518)\/(-12)) - 30378\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -57. Let i = 16 - z. Which is the closest to -1\/5? (a) 0.2 (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/198 and 7\/627?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 + -64. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.332 and 69192765.\nAnswer: 69192764.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/252 and -35\/291276?\nAnswer: 2038932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and ((-4)\/6)\/(20\/(-330)).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 9 = -3*b. Let u = 2 + b. Suppose -2 = -j + u. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 36. Suppose -3*k = -2*k - 5*j - 189, -k = p*j - 182. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/9, 9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 8:05 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/113 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672\/64*(345\/828)\/(2\/(-16)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/26434 - 425401\/21649446. Calculate the common denominator of -22\/63 and z.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 6*l + 3. Let q be c(6). Suppose -11*p = -3*p - 40. Suppose 2*w + w = 6. Solve -p*g - q = w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i - 42*i = -x - 11, 21 = 3*x - 3*i. Let w(u) = -u**2 + 3. Let k be w(4). Let l = -7 - k. Solve -5 = -x*o - 3*r, o - l*r = -3*r - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.32612099 + -0.02619499. Let h = -7.3 + j. Round h to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2438*x - 46332 = 2427*x. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229 divided by -1263?\nAnswer: -743\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 286?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 468\/(-270) - 8\/(-6). Is u greater than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137305 is divided by 166.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17277804 divided by 18?\nAnswer: -959878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 + 97*u + 18. Let d be a(-32). Let m(o) be the first derivative of 3*o**2\/2 + 7*o + 1. Let x(q) = -q - 2. Give d*x(c) - 4*m(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/(2\/6). Let t = 4 + -2. Let s be -2 + 1 + 1\/t. Which is greater: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 300 - 292. Which is smaller: 206 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - ((sqrt(110)*-2 + sqrt(110))*3 - sqrt(110))) + sqrt(110))*-2)\/(sqrt(70)\/((-1*sqrt(77) - sqrt(77))\/sqrt(11))).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6257 - -3.029. Let q = -36.39 + 35. Let p = q + h. Round p to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -762*k + 87138. Give r(114).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -236350 rounded to the nearest 1000?\nAnswer: -236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 93*h - 15385. Let o be v(166). Solve -o*m = -70*m + 102 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1745 + 1747. Suppose -2*c = 3*c - 100. Suppose 0 = y*g + g + 5*l - 277, 5*l + c = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/17 + 798440*y\/17 - 79688304200\/17.\nAnswer: -2*(y - 199610)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvyyyyvyvyvvy. Give prob of picking 3 v and 1 y.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*a + 2*a - 95. Let p = 28 - 28.13. Let n = -0.06 - p. What is the third smallest value in 0.2, -4, a, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (7 - (27 - 7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -36*l - 38 + 50. Put -3, l, -2, 11, -4 in ascending order.\nAnswer: -4, -3, -2, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 0 - 75*b**2 + 0*b + 1\/450*b**5 - 1\/6*b**4 + 29\/45*b**3. Factor k(a).\nAnswer: 2*(a - 29)*(a - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 94135 > 2165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06 and 0.61652.\nAnswer: 0.67652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/127499 and 145\/25932?\nAnswer: 1529988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4125864 and 0.4.\nAnswer: -0.16503456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/13)\/((-3)\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -142?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -1\/2 (c) 656\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2680 + -2066. What are the prime factors of i?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333190513.\nAnswer: 37, 9005149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 209 = -2*k + 64, -4*i - 200 = 4*k. Suppose t - a = 63, 3*t - 286 = -a - 93. Let r = t + i. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 6205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((8\/6)\/4)\/((-3)\/(-1017)) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7652*u**2. Let m(p) = -15*p**2. Determine s(m(d)).\nAnswer: 1721700*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 10:05 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -306, -326, -354?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 - 166 = 46*p - 205*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19600 divided by -3920?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3.34. Let f = -7203.9 - -7202.9. Which is the third smallest value? (a) o (b) f (c) 0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2494 - -10401. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-7 - 38\/(-6)). Let l = 218\/3 - -401\/6. Let -l*i**2 - 99\/2*i**4 - w*i + 0 - 138*i**3 - 6*i**5 = 0. What is i?\nAnswer: -3, -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 91 + -39 + 15 - -72.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - -0.29. Let b = 132.36 - 134. Let n = b + 1.24. What is the biggest value in -2, -3\/2, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-60)\/18)*8\/(-3). Let y(x) = -2*x**2 - 11*x - 8. Let v be y(d). Solve 8*q + 20 = v*q + p, -5*p = -3*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/8)*v*v*v**22*v*v*((v*v*v\/(v*(v*v**(2\/5)\/v)\/v*v)*v*v)\/v)\/(v\/(v\/v**17)*v) assuming v is positive.\nAnswer: v**(419\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i - 1192*i**3 + 594*i**3 + 2*i**2 + 2*i - 323 - 5*i + 599*i**3 in the form y*i + z*i**3 + q + p*i**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1287?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**4*g - 161*b**4 - 2597*b**3*g + b**3 - 2*b**2*g - 147*b**2 + b*g - 440*b + 4*g - 2 wrt b.\nAnswer: -48*b*g - 3864*b - 15582*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9450 + 80059. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:28 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 24 + -27 - (2 - (1 + -2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/25*12\/(-36)*1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26809 - -0.05491. Which is smaller: -2\/3 or w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l + 63*l - 55341 = 0. Calculate the greatest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -9*f + 150. Calculate the remainder when 183 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2969666*q = 2969516*q - 9300 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**5 + 2*r**5 - 2*r**5)*(-2 + 1 + 0) + 0*r**5 - 2*r**5 + r**5.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**0\/z))**(2\/5))**(-50) assuming z is positive.\nAnswer: z**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 168, 110, 56, 6, -40, -82, -120?\n\"Answer: 2*y**2 - 64*y + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*g + 51 = 0, -4*b - 28*g = -26*g - 46 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6925*i**2 - 7004*i**2 + 4 + 4*i + i as y*i + k*i**2 + f and give k.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) + sqrt(33)\/sqrt(3))*5 - (4 + sqrt(13) + -2 + sqrt(1300))**2.\nAnswer: -1577 - 83*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6045 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {r: 4, n: 2, u: 8}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*1)\/2*(-14 + 13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5170437485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*k - 3732 - 3180 = -371*k. Calculate the remainder when 12695 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -434.8 + 56.8. Let a = g - -378.5. Let m = 10 + -2. What is the second biggest value in 0.2, 5, m, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - 3*n**3 + 0*n**3)*((-1 + 3 + 0)*(-n + 2 - 2) - n + n + n + 3*n - 2*n - 2*n).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 126540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 2. Let t(b) = -11*b + 18. Calculate 6*h(o) - t(o).\nAnswer: -o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4416231961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 h when three letters picked without replacement from hzzzguhmrzgrzzhmgzzz.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**2*v - 11*u*v + 3*u - 991*v - 30 wrt u.\nAnswer: 4*u*v - 11*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -63088*r + 144. Let t be v(13). Round t to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48101.\nAnswer: 103, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxggbgxbg. What is prob of sequence gbbg?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7800 and 1443975?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*j**2 - 14\/3 + 5*j = 0. Calculate j.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 3. Let q be w(5). Suppose -6 = u + c, -2*u - 6 = -4*c - 18. Let f = u - q. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**4\/12 - 2*b**3 - 21*b**2\/2 - 261*b + 1. Give l(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + (-38532)\/(-532) - 3*5?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhrujrhrrrruhrur. What is prob of picking 2 h and 2 j?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/3 - 1890*q**2 + 56250*q - 420750 = 0. Calculate q.\nAnswer: 15, 2805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 (base 8) in base 7?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.918992 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = 0, -5*y + 3*d = -23 - 26. Suppose 0 = -3*q + y*q. Put q, -1\/5, 1 in increasing order.\nAnswer: -1\/5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191 + 190. What is the smallest common multiple of 6 + c - (-78 - -2) and 15?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 2. Let w(z) = z**2 - 5*z - 8. Let g be w(7). Let f be s(g). Solve 0 - f = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*g - 372*g - 567 = 0. Which is greater: -3\/17770 or g?\nAnswer: -3\/17770","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353088 * 4\nAnswer: -1412352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3 + sqrt(512))*4)**2 + -2*((sqrt(512)*-2 + sqrt(512))*-5)**2 + -1.\nAnswer: -17120 - 2176*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 12 + 21)*(43*y - 86*y + 3 + 38*y) as n*y + r and give r.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13318 + 14575. Calculate the lowest common multiple of 419 and n.\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -400363, -400264, -400165, -400066, -399967?\nAnswer: -399868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-6))\/(0 - -1). Let w = 3793 - 3785. Put w, -5, q in decreasing order.\nAnswer: w, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 546882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 247 and 171?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15180 and 3089130?\nAnswer: 6178260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 219111070 to the power of 1\/2, to the nearest integer?\nAnswer: 14802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2.04. Let s = x + -0.06. Which is the nearest to 2\/9? (a) s (b) -1\/2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*r**3 - 53 - 26*r**3 - 56 + 160 - 63 to the form u*r**3 + g + j*r**2 + a*r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362396649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 = -3*i, 0 = p - 3*i + 4 + 11. Let g be (-4)\/(-10) + p\/15. Let w = -1.4 + 3.4. Which is the closest to -1\/4? (a) w (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3867 (base 14) in base 5?\nAnswer: -304031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b + 1?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 453\/10 - 87\/2. Let z(l) be the first derivative of -3\/5*l**2 - 5 - h*l + 1\/5*l**3. Factor z(u).\nAnswer: 3*(u - 3)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1419 - 767 = -2*z + 2*s, 0 = -3*z + s + 3289. Let a = 1978 - z. List the prime factors of a.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 - 0 - -2. Suppose 20 = 4*a - 4*t, -2*a - k*t - 2 - 4 = 0. Find the first derivative of 0 - 2 + h**4 - a wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 54*m**2 + 267*m + 396.\nAnswer: 3*(m + 3)*(m + 4)*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 3\/7, -5 in decreasing order.\nAnswer: 3\/7, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12592956 is divided by 3061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/4)*m**(-3\/19))\/(m*m\/(m**(-5)*m)*m*m)**(-28\/3) assuming m is positive.\nAnswer: m**(16703\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28527497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2597\/(-21)*(17 - 29) and 8.\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 17. Let s be b\/9 + 56\/12. Solve 15 = 5*t - 5*a, a = -2*t + s*a + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 17 - 37. Let l(s) be the first derivative of 0*s**2 + 4\/3*s**3 + b + 0*s + 3\/4*s**4. Find the third derivative of l(n) wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**2 - 350*d + 6125 = 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:52 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10*i. Let y(p) be the second derivative of -7*p**3\/6 + 30*p. Give -5*w(n) - 7*y(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/(-260))\/(((-6)\/(-20))\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361339*p - 361268*p + 1775 = 0 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -1789.4758094445.\nAnswer: -1789.4758094445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-4) - -1*6\/24. Differentiate 4*v**4 - 16*v**4 + r*v**4 - 4 + 7*v**4 wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a factor of 3830596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p + 2*n - 4, 8 = p + 4*n. Which is smaller: p or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/2153?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -118, -241, -366, -493, -622, -753, -886?\n\"Answer: -d**2 - 120*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -21, -17, -3, 27, 79, 159, 273?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*y + 34 - 133, -5*y - 132 = 2*j. Let t = y + 39. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + g**2 - 2*g**2)*(3*g - 5*g - 5*g) + (-3*g**3 + 4*g**3 + 0*g**3)*(-3 + 1 + 0).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a8 + -752a1a?\nAnswer: -752952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 - (-2 - (6 + -4)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 1)*-10*(-5)\/(-10). Let x(h) = -h**2 + 8*h + 2. What is x(t)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - i**3 + i**3 + (i**2 - 2*i**2 + 3*i**2)*(2*i - 2*i - 3*i) + (3*i**2 + 2 - 2)*(1 + i - 1).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*p = -68*p + 676 + 533. Put 2, 1.1, 0.08, p in descending order.\nAnswer: 2, 1.1, 0.08, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(931)*5 + sqrt(931) + (sqrt(931) + -2 + sqrt(931))*-2 + -1 + sqrt(931) + (sqrt(931) - (sqrt(931) + 4)) + 0)**2.\nAnswer: -182*sqrt(19) + 157340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - v = -2*v - 157, u = 4*v + 89. Let a = -616 - -872. Suppose 5*b - a = -61. Calculate the remainder when u is divided by b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.376 - 8.376. Is o != -1048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120521 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8387588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69141438 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16940 + -16981.172. Let z = y - -41. Let w = -0.028 + z. Which is the second biggest value? (a) w (b) 0.12 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 288*q**2 + 19*q + 3. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2387 and 54054.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/(-77))\/((-1 - 1)*25\/175). Suppose -5*s + 692 - 92 = 0. Let x be s + t\/(-2) + 4. Calculate the greatest common factor of 41 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1613 is divided by 519.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9480134 divided by 1714.\nAnswer: -5531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -49*c**2 + 10*c - 2. Let d be x(2). Calculate the remainder when -1 + 1 - d\/2 is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10*(1\/(-8))\/((-9)\/(-144))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15*((-12)\/(-27))\/(-8 - (-4010)\/495). Solve n*w - 86*w + 100 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtww when four letters picked without replacement from twwwwwwwwwww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/93, -38, -0.5?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20720, 40557, 60398, 80243?\n\"Answer: 2*v**2 + 19831*v + 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 - -121. Suppose -c + 5*b = -5 - 3, t = 5*c + 3*b - 40. Solve -u + 2*r = u + c, -5*u + r = 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 45 = -3. Calculate the smallest common multiple of (-11 + 13)*147\/14 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-1\/10)*u)**(-4\/13) assuming u is positive.\nAnswer: u**(-62\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -190*v**2 + 3055*v - 25. Give t(16).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 318? (a) 56 (b) -201\/5 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*q**2 + 1082*q**2 - 361*q**2 - 358*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = d - 3. Suppose -17 + d = -2*j. Solve -4 = -6*x + 2*x + l, 0 = 5*x - 2*l - j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3612, -28654, -70394, -128832, -203968, -295802?\n\"Answer: -8349*b**2 + 5*b + 4732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43905 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 0.3 (c) -3 (d) 6 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 33334.10616 to zero dps.\nAnswer: 33334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -416915, -416914, -416913?\n\"Answer: y - 416916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 25. Suppose 3 = -2*p + g. Let n(j) be the third derivative of -j**6\/120 + j**5\/30 - 13*j**2. Give n(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 16. Let h = b + -26. Suppose -r = y - 3, -2*y + h - 3 = -2*r. Solve 5*p - 19 - 6 = r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**2 - 8*a**2 + 0*a**2.\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1333215 and 92\/9332505.\nAnswer: 9332505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218 + 219. What is the second biggest value in 4\/3, -0.1, 35, g?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 85?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 - -73. Let n(x) = 2*x**2 + 25. Let h(s) = -s. Let c(w) = r*h(w) + n(w). Is c(-10) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 7*h + 2*h)*(9*h**2 - h**2 - 3*h**2 + (0*h + 0*h + 2*h)*(-4*h + 3*h + 3*h)).\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) 224\/3 (c) 0.3 (d) -1\/4 (e) -16 (f) 1\/3 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 9*f**2 - 9*f + 8. Let l be t(8). Suppose -5*n - 4*z + 3735 = l, 2244 = 3*n - z + 4*z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 17*f**2 + f - 1. Calculate l(2).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 26. Let m be 2 + -4 + g\/1. Suppose -3*b - 7*f + 6*f + 137 = m, b + 2*f = 49. Calculate the remainder when b is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -8.6?\nAnswer: 5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 529 - 378. Let d = p - 60. Calculate the remainder when 1*d\/7 + 1 + 2 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/488385 or -1?\nAnswer: 13\/488385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1500, 2952, 4364, 5742, 7092, 8420?\n\"Answer: p**3 - 26*p**2 + 1523*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*f - 7*f - 9477 - 3*f**4 + 17308 + f**4 + 22*f**2 wrt f?\nAnswer: -8*f**3 + 44*f - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13814 and 256.\nAnswer: -3536384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, -163, -498, -1009, -1696, -2559, -3598?\n\"Answer: -88*i**2 + 105*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 9:07 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9343*w**4 + 3*w**3 + 53*w**2 + 1154 wrt w.\nAnswer: -224232*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 + 6*a**2 + 35*a - 30*a to f*a**2 + l*a + g and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**2 + 0 + 18 + 8 + x**2 - 8*x. Let j(y) = 2*y**2 + 3*y - 9. Let a(d) = 8*j(d) + 3*z(d). Differentiate a(p) with respect to p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1297 + -1334.95. Let l = j + 31.2. Round l to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - (-4192 + 10*3\/6 - 6) is divided by 1390.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -29. Find the second derivative of -4*t - p*t**5 + 3*t**2 - 4*t**2 + t**2 wrt t.\nAnswer: -400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 369 + -372. Let l be 20\/(-8)*-2 + m. What is the nearest to l in -5, -0.5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 3, -316, 6.9, 0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 18 - 143 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111312 (base 5) to base 16.\nAnswer: -f75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 916258, 1832535, 2748812, 3665089, 4581366?\n\"Answer: 916277*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -16) + 53*(23 - 24).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-3\/8)\/f)*f**(2\/5)*f*f assuming f is positive.\nAnswer: f**(191\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3868237922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93.9 - -99. Let m = 5 - n. Which is the second smallest value? (a) 1 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + q**2 - 2. Let c be w(-2). Let j = c - -18. 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 q = -13790.97094 - -13789.6. Let i = 0.37057 + q. Let p = i - -1. What is p rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82 - -1 - -78) + (-1 - -1) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -45. Suppose m - c - w = -3*c, -3*c = -m - 12. Suppose -5*z - 3*b + 313 = 0, m*b = -5*z - b + 321. List the prime factors of z.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000506388863 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.052 + -0.038. Let a = s - 3.69. What is a rounded to one dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 + 1452 - 54*y + 2*y**2 - 1463.\nAnswer: -4*y**2 - 54*y - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*x + 6*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-29)\/(i\/i**(-24)))**(-6))**(-15) assuming i is positive.\nAnswer: i**(-4860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 1\/2*m**3 + 0 - 1\/60*m**5 + 0*m + 2*m**2 + 1\/24*m**4. Give z(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + 6. Let j(k) = -k + 6*k**2 + g + 1 - 5. Let u be 4\/(-24) - 5\/6. What is j(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-14)*(-12 + 4340\/280)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1294694 divided by -6506\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 17, c: 3}. Give prob of sequence cc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 186, 183, 180?\n\"Answer: -3*j + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22706064 and 6612?\nAnswer: 658475856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3 + 7 - 3). Which is smaller: 2\/23 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -4. Which is the third smallest value? (a) l (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 3)*(198*r - 223 - 391*r + 192*r) to g*r + y and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.245 (b) 2\/3 (c) 0.7 (d) 11 (e) -4 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - z + 12 = 0, 3*l + 204*z = 200*z + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -9 (b) 2\/9 (c) 5\/2 (d) -0.3 (e) 3538\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.15 + -1.05. Do 37\/7 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, -38, -160, -406, -818?\n\"Answer: -7*n**3 + n**2 + 6*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1927, 1926, 1925, 1924, 1923, 1922?\nAnswer: 1921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.82822 to two decimal places.\nAnswer: -91.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25740060751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.946075716 rounded to 4 decimal places?\nAnswer: -10.9461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*j + 2081, 3*m + j - 1925 = 131. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22001 - -12?\nAnswer: -21212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34*3*19\/(-114).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1923064801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 876729*f**6 - 42637*f**2?\nAnswer: 105207480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -211, 7, -501 in decreasing order.\nAnswer: 7, -5, -211, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = 0, -1 - 5 = -3*g - p. Solve d + g*d = -16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 71, 67, 29, -55, -197, -409, -703?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 5, i: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxjmbabxkxk. What is prob of sequence bk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-169 - 4432*i + 2212*i + 2209*i).\nAnswer: -11*i - 169","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 8*t**2 - 5*t - 6. Give f(-6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -o + 43, -o + a - 192 = -199 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o - 9. Let u be t(-6). Let g(m) = 45 + 54*m - u. Calculate the remainder when g(1) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 139.86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 62 = -5*d + 59, -d + 20 = -5*f. Let i = 1 + -19. Let g = i + d. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10\/3934617 + 2967551095222\/19673085. Let a = 147533 - v. Let s = 3300 + a. Find the common denominator of -55\/2 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18287\/33 or -0.14?\nAnswer: 18287\/33","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 2028\/108 + -7 - 12. Let f = 1.7 + -2. What is the closest to f in -2, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 861.6 - 135.6. Let r = g + -729. Let z = 47\/85 + -6\/17. Put -2\/3, z, -1\/9, r in ascending order.\nAnswer: r, -2\/3, -1\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**15\/y)**(-44)*y**13*y*y*(y*y*y\/((y\/(y**(2\/9)\/y))\/y))\/y*y assuming y is positive.\nAnswer: y**(-6181\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/30 + 2 + (-62)\/(-310). Which is the closest to -0.01? (a) -0.07 (b) 1\/2 (c) v (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -514 smaller than -513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 7:17 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 2*sqrt(153))*4*-4)\/((4*sqrt(9)*1 - sqrt(9)) + sqrt(729)*-2).\nAnswer: 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 258337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.99 - 5. Let h = r + 0.21. Which is the third smallest value? (a) -7 (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x. Let v be (-4)\/(-2) + 198\/18. Let c(b) = -v*b + 11*b + 2*b + 4*b. Determine 5*c(l) + 8*d(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11204.\nAnswer: 2, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 257248829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133) + (sqrt(133)*-2*-6 - sqrt(133)) + sqrt(133) - sqrt(133))\/sqrt(7))**2.\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 9*k**2 + 7*k + 8. Let m be u(8). Suppose m*h + 4*b + 76 = -4*h, 8 = -2*h + 4*b. Let c = 1 - h. What is the greatest common factor of c and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 2:41 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 5390*w**2 - 519315*w.\nAnswer: 5*w*(w - 89)*(w + 1167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 8:57 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*w**4 + 37*w**4 + 21*w**4 + 0*w**4 - 3*w**4 + 2*w**4 + (-3 + 6 - 1)*(-w**4 + 2*w**4 - 3*w**4) + 3*w**4 - 3*w**4 + w**4.\nAnswer: 39*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n + 2*n**3)*(2*n**2 + 2*n**2 - 5*n**2) + 2*n**5 - 4*n**5 + n**5 + (-n - n + 3*n)*(-n**4 - 2*n**4 + 2*n**4) + 5*n**5 - 11*n**5 - 6*n**5 + n**3.\nAnswer: -16*n**5 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(1\/3))\/m)**(-22)*(m**(2\/19)*m*m)\/(m*m*m**5))\/((m\/m**9)\/m**(-1))**(3\/25) assuming m is positive.\nAnswer: m**(-47578\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 27*d - 34 + 87 = -440 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.8 + 3.2. Let p = z - 24.074. Let f = p + 0.05. What is f rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/29, 1, 0, -3, -874\/7, -0.1, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 86065628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38502826 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - -662654066?\nAnswer: 662654044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11809330 to the nearest integer?\nAnswer: 3436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 8*c**2 + 7*c - 12. Suppose 0*i - 100 = 5*i. Let n = -12 - i. What is the remainder when k(n) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-990)\/276 + (-161)\/(-46).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0*n**4 + 0*n**3 - 7\/15*n**6 + 30*n - 2 - 8*n**2 + 0*n**5. Find the first derivative of g(j) wrt j.\nAnswer: -56*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 14*m**2 - 4*m. Let j(l) = -68*l**2 + 21*l. Give -11*d(z) - 2*j(z).\nAnswer: -18*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 452 + 68. Suppose 6*l - 10*l = -u. Let j(v) = -v**2 - 11*v + 3. What is the remainder when l is divided by j(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-2)\/(-20)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 57, 184, 433, 846, 1465, 2332, 3489?\nAnswer: 4978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 37955.0494 to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*h**3*z**3 - 6660*h**3*z + h**2*z - 4*h*z**3 + 2243*z**2 - 28*z wrt z.\nAnswer: 72*h**3*z - 24*h*z + 4486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k + 7. Let j(r) = 5*r - 10 + 4 + 3. Let x(p) = -6*d(p) - 11*j(p). Let g(b) = -b + 1. Give 6*g(f) + x(f).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*m + 2720000 = 0, 3*m = -2*a + a + 680000. What is a rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3316392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2663975\/4 or 665993?\nAnswer: 2663975\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 + 35072*t\/3 - 772552\/3.\nAnswer: 2*(t - 22)*(t + 17558)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*l = -892, 7*v - 3*v - 2*l = 3618. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1638 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75960 - 5924761\/78. Calculate the common denominator of n and -59\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*p + 9 = 0, -3*y + 1 = -9*p + 4*p. Let i(r) = -55*r - 1375. Let h be i(-25). Solve 0*x = -3*t + y*x + 4, h = 3*t - 3*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 56.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**2 + 7*g - 30. Suppose 7*b = 9*b + 2. Let r(i) = -6*i + 7*i - 3*i + 3*i. Let l(d) = b*t(d) + 2*r(d). Suppose l(u) = 0. Calculate u.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 6*a**2 + (3*a + 4*a - 2*a)*(a - 4*a + 2*a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + 3) - ((-4025)\/(-385) + 6\/11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 4, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (5 - 0)) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 1, -281, -0.3, 123?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 14 + 15 + 63 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/429219 and 5\/29473038.\nAnswer: 88419114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/300)\/((-4)\/(-36)*-2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -526 - 2?\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*6789.\nAnswer: -678.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b**3 - 13 + 7 + 19*b - 15*b - 59 - b**2 in the form r*b**2 + s*b + f*b**3 + h and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -58. Let g = -45 - i. Suppose -o + 0 = 2. Put o, g, -9 in descending order.\nAnswer: o, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11692 - 33*a + 11692.\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4828511 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 378302, 756606, 1134910, 1513214, 1891518?\n\"Answer: 378304*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1836)\/189 + (-4)\/14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - 0. Suppose -5*t = -262 + f. Which is smaller: 37 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -22*h**3 + 11*h - 11. Suppose 5*s = 2*r - 42, -5*r + 39 = -5*s - 36. Let w(q) = 11*q**3 - 5*q + 5. Calculate r*w(v) + 5*u(v).\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47526 and 6344988.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 29*g.\nAnswer: -29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v - 5*a - 10 = 47*v, -5 = 7*v - 5*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5568667*i**2 + 25*i + 9452463 wrt i?\nAnswer: -11137334*i + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52744*q**2 + 71632*q**2 + 1552*q**2.\nAnswer: 125928*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j**2 - 155*j + 9. Let y be x(15). Put y, -3, 1 in descending order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.44 and 0.1.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 351 + -71. Let x = 308 - h. What is the greatest common factor of 161 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -184\/5, -0.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*z**3 - 101*z**3 + 44*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 285 - 291. Let b(v) = -11*v - 62. What is b(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - i - 30 + 3*i.\nAnswer: 2*i - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)\/w*w*w*w*w\/w**(-2\/5)*w*(w*w**6)\/w**(-9) assuming w is positive.\nAnswer: w**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3570\/357)\/((-15)\/18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2 + 2593784*a + 840964429832 = 0.\nAnswer: -648446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2 - 5466933*i - 10933862 = 0. Calculate i.\nAnswer: -5466931, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -310 - -475. Let m = -115812 - -115845. Calculate the greatest common divisor of u and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**4\/4 + q**3\/3 - q**2\/2 + q - 16333. Let g(s) = -3*s**3 + 3*s**2 - 3*s + 3. Let o = -6 - -3. What is o*h(v) + g(v)?\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 400\/37000*-111*(40\/(-9))\/(2\/48)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 8*f**5\/15 - 2*f**4 - 38*f**3\/3 - 9*f**2 - 6. Let d(n) = -n**3 + n - 1. Let u(s) = -4*d(s) - x(s). Factor u(b).\nAnswer: 4*(b - 5)*(b - 4)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 24 - 1\/4*w - 2\/3*w**3 - w**4 + 7\/8*w**2. Determine i, given that h(i) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9407568 or 9407563?\nAnswer: 9407568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z - 3 + 20*z - z**3 + z**2 - 7*z + z**4 + 1 in the form b*z + j*z**3 + l*z**2 + d + u*z**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 44758*z**2 + 44759*z.\nAnswer: -z*(z - 44759)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1746, 2151, 2532, 2883, 3198, 3471, 3696?\n\"Answer: -z**3 - 6*z**2 + 430*z + 1323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 222\/5 + 2 + 12\/(-5). Suppose 2*y - 50 + k = 0. What is the second derivative of o + y*o**3 - 10*o**3 + 4*o + 8*o**3 wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1215 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 20 = 4*h, -h + 5*h = 4*u - 13*u + 8*h + 68 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -912.9086 - -913. Round y to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-10)*(0 + 20\/(-8)). Solve -3*m - t = -0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + -1310332013111?\nAnswer: -1310332013010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a century in decades?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(161\/42) - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90774280031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - 38)\/(-2 - 18\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = 27*d - 108. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 1\/5 (c) -19663\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -114*a**3 + 9*a**2 + 16*a + 14. Let s be m(-2). Which is smaller: s or 927?\nAnswer: 927","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.7 - -28418517?\nAnswer: 28418425.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44040843 - 281.\nAnswer: -44041124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178200 = 11931*v - 11942*v. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1272 - -7.6172. Let r = j - 7.39. Is 792 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-8)*68\/6 + -4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 4:50 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-9))\/(8\/3). Let t(c) be the third derivative of n*c**4 + 1\/20*c**5 + 3*c**2 + 0 + 0*c**3 + 0*c. What is the second derivative of t(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 4*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -91697, -14, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 14*r = 0. Suppose -2*k + g = -5*k + 79, -3*k - 5*g + 83 = r. Calculate the remainder when k is divided by 1\/3 - (-41)\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 172*h - 355. Is a(11) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1904 and 0.8.\nAnswer: 0.15232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 16*p**2 + 15*p + 6. Suppose -s - 1 = 0, 3*v = 5*s - 4*s + 7. Calculate the remainder when b(-15) is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*k**3 - 52*k**3 - 46*k**3 - 51*k**3 - 2*k**2 + 2*k**2.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, z: 7}. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*w + b, -b + 10 = w - 4*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - 2390*v - 28225. Give y(-12).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 975534.\nAnswer: 975539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 6\/168*-4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.2, 0.12, 1\/4, 10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16514 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/90 - s**4\/54 + 2*s. Suppose d(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -196*s**4 - 39872*s**3 + 1347204*s**2 - 760048*s + 108112 = 0. Calculate s.\nAnswer: -233, 2\/7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k - 2*k)*(2 - 3 - 3).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 7:52 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 121*l - 524. What is a(3)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 12 + -3 + -1 + -8 + -25.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 4, m: 2, i: 1, s: 2, d: 6}. What is prob of sequence hs?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27875454, -55750910, -83626366, -111501822, -139377278, -167252734?\n\"Answer: -27875456*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*a = -164*a - 125661. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -287*u - 2 - 6*u**2 + 0 + 289*u + 4 to l + z*u**2 + r*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 24 = -2*z - 14*u, -3*z = u - 23. Solve -z*a - 32 = -11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 616 and 3157?\nAnswer: 25256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -15*l - 810. Give d(-57).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46248356 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/((-5022)\/155)*96\/3560\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from hhuhhuhhhuhhhhhhhhuh?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2418 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.16 - -0.09. Let o = -2.95 - l. Let g = o - -10.2. Sort 1, g, -0.2 in ascending order.\nAnswer: -0.2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 6:45 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**3 + 3*n**2 + 6*n**3 - 14*n**3 to the form c + y*n + m*n**3 + r*n**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165*f**5 - 2*f**3 - 1028*f.\nAnswer: -3300*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1977 + -1366. Let g be (h\/(-136) - (-2)\/17)*-1. Is g less than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - 2*sqrt(80)) + 4*sqrt(20))**2 - 4*sqrt(605)*-2)*-5.\nAnswer: -440*sqrt(5) - 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z - 4*o + o, 5*o = 5. Let u be (-8)\/(-5 - (z + -5)). Suppose -u*d + 20 = -3*d. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*o**2 - 4*o**2 - 50*o**2 - 45*o**2 + 8839 - 50*o**2 to the form r*o + p + x*o**2 and give p.\nAnswer: 8839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0)\/((-9)\/18). Suppose 0 = -j*w - 5*l - 70, -6*w + w = 3*l + 137. Let z = -28 - w. Let b(f) = -f**2 - 3*f - 4. What is b(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - s = -8 - 13, 0 = -5*d + 11*s - 75 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f - 9. Let n(r) = -8 + 13*r + 12*r - 32*r. Give -6*n(w) + 5*q(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431284646 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.31553 to one dp.\nAnswer: 63.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*u - 34*u - 25*u - 23*u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41970752053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 609 = -12399. Let m = n - 1064. Does 56 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x + 2. Let w(f) = -2*f. Let g(o) = 2*o. Let b(d) = 6*g(d) + 5*w(d). Calculate b(v(k)).\nAnswer: -10*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, -730, -1472, -2214, -2956?\n\"Answer: -742*u + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*m**2 + 482*m**2 - 244*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/((36\/(-24))\/(24\/(-114)))\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 30*t + 18*t + 4.\nAnswer: 48*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -244.183 * -746.\nAnswer: 182160.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 - 18*x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 88*q - 553. Determine y(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*y = 498, 0 = -4*k + k + 5*y + 466. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 19, 42, 73, 112, 159?\n\"Answer: 4*w**2 + 3*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*t - 20 = 0, -20 = -5*t + 10*t. Calculate the remainder when 1183 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-16))\/(393\/66024))\/(3\/2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4223 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: Is 38266\/9 less than 4253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 49. Suppose 2*c - 133 = -f. Calculate the highest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/3 - 48*z**3 - 218*z**2\/3 + 1428*z - 3920\/3 = 0. What is z?\nAnswer: -70, -7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13\/63 - 3\/7. Which is the third biggest value? (a) 1 (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 31*y - 21. Let m be n(10). Is m\/(0 - (3 + -4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 21.7. Suppose -2*o + 3*y = -0*o + 7, 0 = 4*o + 3*y + 5. Let j = 0 - 3. Which is the smallest value? (a) t (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 6*b - 7. Let j be d(-5). Let c(t) = 2*t - 31 + 10 + 2*t**2 + 18 + 6. Calculate c(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2\/7 + 296*q\/7 + 282 = 0?\nAnswer: -141, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*q - 55*q + 1638 = 0 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 292*n + 12695. Let q(p) = 2*p - 15. Let m(h) = 2*q(h) + z(h). What is the derivative of m(f) wrt f?\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/5, 1\/6, -1\/220?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 2\/7 + 2. Let r = -27 + 28.3. Let u = r - 1.4. What is the nearest to u in 0.5, f, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l = 60. Suppose 4*v + 9 = 2*n + 5*v, -l = -n - 4*v. Let u(k) = -k**3 + 3*k**2 + 4*k + 5. Let t be u(4). Solve -2*a - t = n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 15*i + 3. Let q be x(-15). Let p(y) = -2*y**3 + 3*y**2 + y. Let w be p(-1). Solve 5*d = -w*r - 0*r + 45, -d + 20 = q*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m + 29*m + 3*g + 3180 = 0, 0 = -2*g - 6. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/286440 and -62\/245.\nAnswer: 2005080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqx when three letters picked without replacement from {v: 5, x: 3, c: 1, q: 3}?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1145, 3, 50, 1 in increasing order.\nAnswer: 1, 3, 5, 50, 1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -153670700.\nAnswer: 614682800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34939 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 252, 509, 780, 1071, 1388, 1737, 2124?\n\"Answer: o**3 + o**2 + 247*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 5*d - 4. Let z be h(4). Find the second derivative of 2*s**5 - 4*s + 2*s**5 + z*s wrt s.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3703*s**2 + 6*s + 4765*s**2 - 6*s.\nAnswer: 1062*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140090 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 40*b - 4 = 572 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2534, 2592, 2732, 2990, 3402, 4004, 4832?\n\"Answer: 6*h**3 + 5*h**2 + h + 2522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 2:06 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -10*y**2 - 26232*y - 104930. Give x(-4).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s = 0. Suppose -2*t = -3*a - 6, s = 2*t - 6*t + 4*a + 8. Let w(q) = 2 + q + t*q + 4 - 8*q**2 - 5. Give w(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**3\/3 - 55*y**2 + 472*y. Let a(f) = f**2. What is c(a(b))?\nAnswer: -2*b**2 - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 748 = -2*l + 3040, -5*l = -k - 9443. Is 43 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146090560*i**5 + 272317072720*i**4 - 7957233900*i**3 + 77505255*i**2 - 251640*i = 0. What is i?\nAnswer: 0, 3\/308, 1864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2167, -2168, -2169?\n\"Answer: -t - 2166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-63) + (-66)\/168.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -47073, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + 7 + 2 - 2\/3. Let w = -1 - -1. Are v and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 30*k - 20*k - 13*k + 4. Let h be p(0). Suppose -4 = c, 0*b - h*b - 4*c = -16. What is the least common multiple of 32 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**6\/240 + j**5\/24 + j**4\/8 + 49*j**2. Factor f(o).\nAnswer: -o*(o - 6)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2230 and 25690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 402\/101 - 3117\/707. Let t = -0.66 - -0.6. Let i = t - -0.36. Which is the nearest to i? (a) o (b) 5 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-390)\/182*(-52)\/(-260).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iccc. What is prob of picking 3 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -75, -61, -47, -33, -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/3)\/((-3)\/(-45)). Let w = -11 + c. Is 3 a factor of (-3 + 52)*w\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -105650 and 0.\nAnswer: -105650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-2)*(4 + 29\/(-7))*-2. Let z = -3.8 - 1.2. Which is the nearest to 6? (a) y (b) 5\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, 360, -0.5, -0.4, 0.5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*i**3 - 293*i**2 - 53*i - 707884?\nAnswer: 21*i**2 - 586*i - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 3*h + 2. Let y be z(2). Suppose -x = 3*u + 3, -2 = x + y*u + 4. Solve -x = -5*c + 4, 3*c = -f + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -3.147, -5\/131, -2\/13?\nAnswer: -5\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((7 - 5) + -23 + 8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/4 + p**3 - 7*p**2\/2 + 6*p - 2223. What is f(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -c + 3*c. Solve 2*o - 3*s = -9, 0 = 4*o + o - c*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51176938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(7 - (15 + 2288\/(-288))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/39*(-23)\/(1380\/390).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-10))\/((-4)\/5). Suppose -2 = -3*i + 2*g - 0*g, 0 = i + 4*g - 24. Suppose 5*c - 15 = -3*t + 5, 4*t - 16 = i*c. Which is smaller: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 468*j - 667. Determine t(2).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748*u - 690*u - 12 = -1450*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 953 and 1389?\nAnswer: 1323717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -491134 from 0.0313.\nAnswer: 491134.0313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1458 - -1456.21. Which is bigger: o or -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(441) + sqrt(441)*-1)*-5)\/(sqrt(7)*3*6) + -2)**2 + 2)*2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 98\/5 (b) 1\/7 (c) -9 (d) -1 (e) 1\/40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 432, 1951, 4552, 8283, 13192, 19327?\n\"Answer: 8*y**3 + 493*y**2 - 16*y - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 p when four letters picked without replacement from hppphhhphhh?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n - 2. Let c(x) = 3*x - 1. Let b(d) = 5*c(d) - 2*p(d). Let v(f) = f - 4 + 0 + 1. Give -2*b(z) + v(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 1712977600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43.8113 (b) 10 (c) -31 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b2 (base 13) to base 2.\nAnswer: 10010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4423 + 1120442?\nAnswer: 1130420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 72 = -5*m, m - 2*a - 4 = 8. Let j be (-1 - -1) + (-8 - -1). Let y(i) = -i**2 - 8*i + 9. Calculate the lowest common multiple of y(j) and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 1\/40*o**5 + 1\/48*o**4 + 1\/120*o**6 + 0*o**3 + 3*o + 0 + 0*o**2. Factor s(i).\nAnswer: i**2*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 286 (c) 5\/12 (d) -1\/7 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d**2 - 9214*d + 9214. Give v(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0923 minus 0.311855?\nAnswer: -0.404155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 7. What is the remainder when 17 is divided by 4 + (3 - (-1 - s))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 441?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192964?\nAnswer: 2, 19, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1477 divided by -7.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 30, -143\/3, -0.6, 0.1, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + b = 1, 9 + 6 = -5*j - 5*b. Let w(o) be the first derivative of o**3 - o**2\/2 + 1. Let l be w(j). Solve i + 5 = l*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, -3, -30, -91, -198, -363?\n\"Answer: -2*m**3 + m**2 + 6*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2797*d + 143247 = -167229 + 47010 + 17330 for d.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/8*1*16. Let p = 20 - g. Suppose -4*n - 7*c + 8*c + 60 = 0, 0 = 3*n - 3*c - 54. What is the remainder when p is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591 = 9*m - 3432. Suppose 2*q - m = -y, 5*q + 3*y = 994 + 124. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-7 - (8 + -12 + -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -12\/13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*z = -0*q + 598, 4*q - 1184 = -2*z. What are the prime factors of q?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/8 and 22\/99879.\nAnswer: 799032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -13 + 13 - (-1 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 20. Solve -6*o + 8 = -x*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-20) - 102\/(-5). Let c be 165\/g + (-1)\/4. Let p be (6 + -1)*-3*(-11)\/165. Sort p, c, 2 in ascending order.\nAnswer: p, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*5\/20 - -1)*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7337 and 0.4?\nAnswer: 7337.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*r = -36, 2*k - 29 = -k + 4*r. Calculate the highest common factor of k and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*-6*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 16, 31, 46, 61, 76?\n\"Answer: 15*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 6:59 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1, -307, 256, -3 in decreasing order.\nAnswer: 256, 1, -1, -2, -3, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*v + 2554, 2*w - 390 = 2*v - 2090. What is the highest common divisor of v and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 11*x**2 + 6*x - 8. Let u be v(6). Suppose -3*m + 37 = 5*k - u, 2*m = -3*k + 147. Is 49 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 43 = t + 46, 5*q = t + 218. Suppose -q = -5*s + 172. Suppose -5*b + s = -47. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.744 - 0.7. Round u to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-41)\/(-4) - (-48)\/64. Suppose -f - 61 = -4*g. Let y = 3 - 3. Solve 0 = 3*c - y*i - 4*i + 4, 0 = 4*c + i + g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 4, 34, -15 in ascending order.\nAnswer: -15, -4, -2, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 567848940 to the power of 1\/2, to the nearest integer?\nAnswer: 23830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470657772.\nAnswer: 2, 3, 13, 1005679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -1.283\nAnswer: -7.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0118 and -0.2.\nAnswer: -0.2118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 665 and 1026.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = -4*n + 5*i, i + 8 = -4*n. Let d be (-69)\/(-23) + 3 + n. Solve d*f - 18 = 5*o, -10 = 4*o + o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1558 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98727927 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 170 - -2555?\nAnswer: 2725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2 + 0*k + 5*k - 4*k. Let v(y) = 1. Let m(t) = -t**3 - t**2 + 4*t + 3. Let g = -14 + 12. Let d be m(g). Calculate d*b(w) - 2*v(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -v + 4, -j - 9 = -4*v + 7. Find the third derivative of j*y**5 + 9*y**5 - 22*y**5 + 5*y**2 + 2*y**2 wrt y.\nAnswer: -780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 208.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127556835*v + 63778954*v + 63777882*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*q**2 + 65*q**2 - 222*q**2 + 72*q**2.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z = -24*z - 675. What is the greatest common factor of z and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(12)*2*3))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-2 - (-10)\/4). Suppose -t - j = -28. Calculate the greatest common factor of t and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d7ab (base 15) in base 3?\nAnswer: -101000220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1660034 - 3.356.\nAnswer: -1660037.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(76) + -2 + (2*sqrt(76) - sqrt(76)) + -3 + -4 + -2)**2.\nAnswer: 44*sqrt(19) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 181123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = w + 2 - 21, 35 = -5*w - 6*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 287435 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5464155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20553 divided by 17.\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-33))\/(-4) + (-3120)\/220?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5139*2\nAnswer: 10278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-80)\/(-3)*63\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1524432*p**5*w + 18*p*w - 2*p - 3*w + 1420 wrt p.\nAnswer: -30488640*p**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2 + 3*h + h**3 - 7 - 13 - 16 + 32. Let u = -10 - -17. Let l be p(u). What is the highest common factor of l and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 41.9. What is the smallest value in o, -4, -2\/5, 1\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222012 + 11?\nAnswer: -222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 828.182 years in millennia?\nAnswer: 0.828182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1\/4, -4, -0.3 in increasing order.\nAnswer: -4, -0.3, -1\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*n = 3*n - 29, 0 = -5*y + n + 121. Find the first derivative of 20*o - 45*o - 27 + y*o - 91*o**2 wrt o.\nAnswer: -182*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 88*a**2 + 1849*a + 16. Let c be f(-21). Put -7, -1, c, 3, 4 in ascending order.\nAnswer: -7, c, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 261, 387?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 5*f - 5*f)*((4 - 1 - 4)*(0 - 3 + 2) + 1 - 1 + 1)*(122 + 65 + 51) to c*f**2 + b + p*f and give c.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*q + 8771 = 2*r + 8766, -2*q = -2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14529 + 789*r + 53112 - 788*r.\nAnswer: r + 38583","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3184 and 220691.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 762330 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94.941327 - 94.95. What is p rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 15 = l. Let z(j) = -j**2 + 22. Let c be z(0). Suppose 0 = -2*t + i + c, -56 = -t - 4*t + l*i. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2 (c) 0.405 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:10 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (5 + -12 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202694665 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02152855 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/787 in 0.16, 1, 3\/8?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/15 - 7*p**2. Let d(v) = -2*v. Determine d(i(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v + 3*v + 80 = -16*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6044.482 millilitres to litres.\nAnswer: 6.044482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 45, -44, -3\/4 in decreasing order.\nAnswer: 45, 22, -3\/4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8471 + 67683\/8. Find the common denominator of -69\/16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*q - 5 = 2, 4*q = -3*h + 15. Let d = 3 - 1. Suppose -3*n + 1 = -d*n. What is the remainder when h is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0*z - 4. Let o(t) = z + 0*t + 2*t + 0*t. What is the lowest common multiple of o(5) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/4 - 4*m**3\/3 - m**2\/2 + 14*m + 3. Let p = 123 + -117. Is f(p) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17682 - -17686. Let o(u) be the first derivative of -34 + 0*u - 1\/20*u**a - 1\/25*u**5 + 0*u**3 + 0*u**2. Solve o(v) = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13*w + 90. Let g be 190\/(-57)*1*9\/5. Calculate o(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*t - 3*t**2 + 3*t**4 + 197*t**3 + 2*t**2 - 197*t**3 + t**4 to the form h*t + k + w*t**4 + g*t**2 + y*t**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/20)\/(2\/24). Suppose -f*i = i - 388. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -13*m - i - 11, 8 = -2*i. Solve -m*w + 4 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0 + 0)*(1 - 1 + 2*t) + 130 - 18*t - 2*t**2 + 14*t - 115.\nAnswer: -10*t**2 - 4*t + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*w + 76855, -m + 5*w + 19198 = 2*w. Does 23 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -361722890.8611 and 2.5?\nAnswer: 361722893.3611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 3534704.\nAnswer: 3534704.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -10. Let q = -2 - w. Solve -3*z + 4*v - 6 = -q, -v = -4*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 214? (a) -135 (b) -3 (c) 1\/3 (d) -0.2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-6))\/(125\/(-150))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001026 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 14 = 5*a, 0 = 3*t - 5*a - 74 - 8. Calculate the greatest common divisor of 60 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26502, 2\/3, 0 in increasing order.\nAnswer: -26502, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -907.1 * -0.14\nAnswer: 126.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3\/5 + 12234*m**2\/5 + 169056*m + 2885760 = 0. What is m?\nAnswer: -4008, -40, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 138499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120294?\nAnswer: 2, 3, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 117 - 132. Suppose -r*p - 20 = 0, b - 2*p - 7 = -p. Solve 2*k = 2*x - 2, 2 = x - b*k + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 63 + 74 = 0 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (5 + -13 + 6)) + (12 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134808556 a multiple of 1905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 1:13 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2. Let x(c) = -c - 6. Calculate x(p(v)).\nAnswer: -3*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 (base 10) in base 16?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 9.576979\nAnswer: -9.576979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4244 (base 6) in base 8?\nAnswer: -1704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 64 = m. Suppose 3*p + p = -2*t + 36, 0 = 3*p - 12. Let r = 40 - t. What is the remainder when r is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2. Let o = 8 - 5. Suppose -m - 1 = o*w - 5*g, 0 = 4*w + 2*g - 6. Solve -q + w = -3*a - 3, -q + 4 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = 13*p - 7*p. Let f(n) = -19*n + 95. What is the units digit of f(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:44 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -5*b + j + 20, -j - 47 = 5*b. Let t(u) = -u**3 - 9*u**2 - 2*u - 5. What is the units digit of t(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 4, u: 1, w: 2, e: 1}. What is prob of sequence evu?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t**2 - 10*t + 24. What are the prime factors of g(13)?\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - -5) + 3 + -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/(-3 + 0 - 54\/(-8)) and -19\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1025 + 6130?\nAnswer: 7155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 368072 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165225.\nAnswer: 3, 5, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 1. Suppose -3*o + 0*g + 3*g = 0, -2*o - 9 = g. Let l(d) = -4*d + 9. Let z(a) = a - 2. Let h(r) = 2*l(r) + 9*z(r). What is o*h(i) - 2*q(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**4 - 7*r. Let h = 16 + -13. Let o(i) = 16*i**4 - 21*i. Let n(s) = h*o(s) - 8*q(s). Find the second derivative of n(b) wrt b.\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*m**2 - g**3*m - 4*g**3 + 126*g**2*m**2 + 2*g**2*m + 8631*g - 60*m**3 + 3*m wrt m?\nAnswer: -2*g**3 + 252*g**2 - 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 + -112. Suppose 0 = 6*f - q*f + 3*r + 9, -f + 2*r + 6 = 0. Solve f = 4*n + 5*o - 18, 2*n + 3*o - 3 - 7 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 895591574 and 895591576 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4) + 1 + -3 - 3. Let f(a) = a**3 + 13*a**2 + 5*a - 2. Let v be f(j). Suppose l - 109 = -4*n, n + v = 3*l - n. What are the prime factors of l?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**5 + k**5 - k**5)*(20 - 9 + 68).\nAnswer: 237*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 22 + 46 = 0. Let x = w - 22. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (7 - (1 - -7)) - (-7 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -44*c + 1. Let i be j(1). Let g = i + 127\/3. Let r = -6 + 5. Put r, g, -0.5 in descending order.\nAnswer: -0.5, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*3)\/sqrt(8))\/(sqrt(10) + sqrt(40)\/sqrt(64)).\nAnswer: 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l - 0*l - 36 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26704647 a multiple of 1159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 10*o + 102 = 0. Solve 14*v + 16 = o*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 30, -3, -835, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -94, 0.04, 5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2514744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 17.1. What is the nearest to x in -5, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - h + 24, 0 = 3*p - p - 5*h + 57. Let a = -13 - p. Let i be 3\/(-12) - (-26)\/a. Solve -i*l = -2*y - 11, 2*y + 2*y - 23 = -3*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3823.\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -47 (c) -15 (d) 1735 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqtttqqqtt. What is prob of sequence tet?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164 - -204. Calculate the lowest common multiple of 10 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7275 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 14. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 852284 (base 9) to base 14.\nAnswer: d2a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {p: 1, x: 1, d: 1, i: 1, l: 1, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {x: 8, r: 3, e: 1, s: 1, p: 2, y: 3}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751, 1502, 2253, 3004?\nAnswer: 3755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a microgram in nanograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -37, -9, -1, 3 in descending order.\nAnswer: 3, -1, -2, -9, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120632 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 212*z**3 - 25 + z**4 - 4*z + 212*z**3 - 426*z**3 to m*z**3 + f*z + l*z**2 + w + k*z**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 11 = -4*y, 0 = 5*y - 2*l - 10 - 12. Suppose -3*j = 3*h - 45, j = -3*h - 0*j + 41. What is the tens digit of (h\/y)\/(10\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 83.\nAnswer: -17\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l + 2. Let v(x) = 18*x + 6. Let t(w) = 3*a(w) - v(w). Let o be (-10)\/(-6) - 1\/(-3). Let h(d) = -6*d**2 + o - 2. Determine h(t(q)).\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*h**3 + 104*h**3 + 51*h**3)*(-11 - 11*h + 11) + 0*h**3 - h**4 + 0*h**3 + (2*h + h - 4*h)*(0*h**3 - h**3 + 2*h**3).\nAnswer: -1036*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1628 divided by 407.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51015473 is divided by 271?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 11*m + 11 = 0. What is the closest to -1 in 2\/3, m, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -18.5. Let m = u - -12. Which is the third smallest value? (a) -2 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10113 or 11602?\nAnswer: 11602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906150 > 23718452\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 11:18 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n + 4*n - 5*n. Let k(c) be the second derivative of -c**3\/2 + 2*c. Determine u(k(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(280)*2)\/sqrt(10))\/(3*sqrt(36) - sqrt(72)\/sqrt(2)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 11*i - 1. Let k be c(-10). Let a = -18 - k. Let n(l) = -l**3 - 6*l**2 + 4*l - 4. What is the tens digit of n(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from vnnnmukkkmuufun.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-8) - (-1)\/2. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 0*v - 1956331*v**3 + 0*v.\nAnswer: -1956331*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from kgbbbkxybkbxj?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/931)\/((-8)\/28)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 1. Let k be q(-1). Suppose 2*m + 4 - 18 = 0. Suppose m = u - 3*n + 4, 2*n = 5*u - 15. Solve k = u*v - 0*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 4*z**2 + 2*z - 2. Calculate y(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 1647144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4978422 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 29. Calculate the greatest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 + 9818*d + 2167275.\nAnswer: (d + 222)*(d + 39050)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3828816 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 3:45 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 501726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 j when four letters picked without replacement from {a: 4, n: 4, j: 3, h: 5}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 10:05 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50202.\nAnswer: 2, 3, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 21, -1, 3, 5 in descending order.\nAnswer: 21, 5, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293049.\nAnswer: 3, 32561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 7)\/((-2)\/(-4)). Let o be (-1*(-82)\/h)\/(1\/20). Let x = -129 + o. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 9:34 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 27 = -y. Suppose -3*w = -4*v + 66, y = 2*v + 2*w - 3*w. Suppose -5*z + 5*c = -0*z - v, 44 = 4*z + 4*c. Solve -z*s - 12 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r + 111. Let t be k(8). Differentiate 0 - 45*g**4 + 15 + 38 - t wrt g.\nAnswer: -180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 4*y**2 - 6*y + 3. Let q be p(5). Let g(f) = f**3 + 6*f**2 - 7*f + 3. Let s be g(-7). Suppose -s = -0*v + 3*v. Is q less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/12 + d**3\/2 + 19*d**2\/2 - 4*d + 174. Give n(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (34\/833)\/(2\/14). Put u, 2, 3 in increasing order.\nAnswer: u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 42*t - 1. Let a be (8\/(-3))\/(6\/(-9)). Suppose -a*m + 0*m = -2*d - 92, -50 = -2*m + 2*d. Calculate the remainder when x(1) is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f - 1 = 0. Let o be (f\/3)\/(1\/3). Let j = -1 - -2. Is j smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1\/3))\/n)\/(n*n**(4\/7)*n*n))\/(n**0*n*n**(-7)) assuming n is positive.\nAnswer: n**(44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -2 (b) -1 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-8)*u))\/(u\/u**(2\/25)))**28\/(((u**(-7)*u)\/u**5)\/(u**(-3\/2)*u\/(u*u*(u\/(u\/((u**(-6)*u)\/u)))\/u))) assuming u is positive.\nAnswer: u**(10687\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/2)\/8)\/((-68)\/(-2448))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**4 - o**3 + o. Let s(t) = -11*t**4 - 7*t**3 + 2*t**2 + 7*t. Let v(r) = 18*h(r) - 2*s(r). Solve v(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -15*o - 6. Let c(g) = 29*g + 14. Let z(l) = 2*c(l) + 5*s(l). Let b(q) = -4*q + 1. Let t be b(1). Is z(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -291437*g + 514*g**3 - 291436*g + 582875*g + (-3 - 2*g**2 + 3)*(-2*g + 6*g - 2*g).\nAnswer: 510*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 62*f - 52. Let w be p(3). Which is the closest to 0.1? (a) 5 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**5\/2 - 17*o**4\/8 - 7*o**3\/2 - 11*o**2\/4 - o - 7. Factor u(f).\nAnswer: -(f + 1)**3*(5*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 12\/25 of a century?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 - 44. Let u = c - -161.4. What is the biggest value in u, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1739746l to millilitres.\nAnswer: 173.9746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, -1.944, -1\/3 in ascending order.\nAnswer: -1.944, -1\/3, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 8*h - 12, 145*h - 6 = -4*c + 147*h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duuduuuuuuuuuduuudu. Give prob of sequence udu.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16 - 12 + 4*c + 30. Let i be v(0). Solve -4 = r + p, 5*r - 4*p = i*r + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -1. Let m = -15 + 26. Let w = -10.6 + m. What is the smallest value in o, w, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + ((2*sqrt(104)*6 + sqrt(104) - sqrt(104)) + sqrt(104) - sqrt(104)) - (sqrt(104) + sqrt(104)*-2*-4))\/(-6*sqrt(96)\/(sqrt(60)\/sqrt(5))).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)\/(p\/(p**(-18)\/p))*p**(3\/5)*p\/p**19 assuming p is positive.\nAnswer: p**(-197\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*b + 23*b - 5640. What is the tens digit of b\/(-5)*(24 - 12 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisddasbadddisad. What is prob of picking 1 b, 2 i, and 1 s?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqmsmsqssm. What is prob of sequence mm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2580 - 2580.6028. Let t = 0.6 + f. What is t rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29708.07 seconds to nanoseconds.\nAnswer: 29708070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29734938 divided by 459\nAnswer: 64782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58994295 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-32)\/2 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/315? (a) 0.2 (b) -0.5 (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and 5.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 2:56 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/10 (b) 12\/49 (c) -2\/985 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 4.5 (c) -0.5 (d) -86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (75\/20)\/(3\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9477*s - 846694 = 195776 for s.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4*h + 3)*(448 - 77 + 123) to q*h + j and give q.\nAnswer: -1976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*j + 4*j - 17*j)*(0 + 1 - 3) - 67*j - 31 + 31 - 2*j + 6*j - 2*j to the form g*j + m and give g.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j + 38. Let h be p(6). Suppose 6*v - 16 = -h*v. Solve 4 = v*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1643420.17 to the nearest 1000.\nAnswer: -1643000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37070718, -74141445, -111212170, -148282893, -185353614?\nAnswer: -222424333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 8 + 2*f - 3 - f. What is the remainder when x(15) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 + 50*g**2 + 22*g - 178. Determine h(10).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 18*p**2 - 78*p + 11. Let v be c(11). Let j = 4 - 0. Solve 0 = 2*u - 4*u + 4*i - 6, v = -j*u + 5*i - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152776 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*k - 494 = -255*k + 594 for k.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17105 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 17. Let m be b(13). Sort 4, m, 7, -5.\nAnswer: -5, m, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -54998923 and 19017?\nAnswer: 55017940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 5. Suppose -2*j - 30 = -4*j. Suppose 3 = -3*q + j. What is the units digit of r(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 28009 = 3*b + 75128, -103132 = -3*g - 2*b. List the prime factors of g.\nAnswer: 2, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1516d - -4?\nAnswer: -15169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200210021 (base 4) in base 11?\nAnswer: 250192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 3*m + 1. Let q(v) = 3*v**3 - 16*v**2 - 13*v - 7. Let n(h) = -q(h) - 6*t(h). Let x(u) = 4*u**3 - 11*u**2 + 6*u - 1. Calculate 6*n(b) + 5*x(b).\nAnswer: 2*b**3 + 5*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -509 + -611. Let x be y\/(-48) - 1\/3. Solve 5*r + 16 = 4*c - 14, -r - 5*c + x = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 15 = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 103*n**4\/12 - 7*n**3\/6 + n**2 - 2*n. Let f be t(-13). Suppose 6*g - g = f. Round g to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57765359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5989567 - 5989594.999855. Let c = 0.09 + -28.09. Let r = g - c. Round r to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004617425 rounded to 4 dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Let v(o) = -o**3 + 5*o**2 - 4*o + 2. Let f be v(4). Let h be f\/4*-2*3. Which is the biggest value? (a) h (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*o + 38977 = 69441 for o.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15206*19207\nAnswer: 292061642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.286 and 36.402.\nAnswer: 36.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16734009 to the nearest integer?\nAnswer: 4091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1877, 3750, 5621, 7490, 9357?\n\"Answer: -c**2 + 1876*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.054 times 0.2?\nAnswer: 1.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w - 1 + 7*w + 2. Let k be z(4). Solve -g = -6*g + 4*b + 11, -g - 4*b = k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 45*m**3 - 2*m**2 + 3*m + 5. Let r be w(2). Suppose -21 - 45 = -2*v. Calculate the greatest common divisor of r and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/116*5\/((-1)\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -341740*a*q*s**3 + 20*a*q*s + 90*a*s**2 - 6*a*s - 213*q*s**4 - 902*q*s**2 wrt s?\nAnswer: -2050440*a*q - 5112*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 73212, 146434, 219666, 292914, 366184, 439482?\n\"Answer: h**3 - h**2 + 73218*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -27817b?\nAnswer: -27817d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6 + 2*p + 8 + 2*p - 7 - 1. Let u be d(0). Solve -6*o + 3*o + u = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 2*r + 3*k, 5*r + 52 = 2*r - k. Let w = r + 30. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 9\/27076?\nAnswer: 9\/27076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 6*y**2 - y + 11. Let k be n(-5). Let o be (-24 + 1)*(-6 + 7). Let j = k + o. What is the lowest common multiple of j and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28196743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*s*y - 5*i**3*s - i**3*y - 49*i**3 + 643*i**2*s*y + 3*i**2*y + s wrt i.\nAnswer: 6*s*y - 30*s - 6*y - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*z**3 + 321*z**3 + 58*z**3 - 127*z + 3*z**2 + 356*z**3 + 16*z**3 wrt z?\nAnswer: 4050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -148*l - 39. Let w be q(3). Let g = -235 - w. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1345 - -1362. Solve -4*v = -o + b, 44 = 3*o - 5*v + 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 10*v + 2. Suppose 5*s - 20 = 0, 4*k + 45 = 2*s + 9. What is the remainder when r(k) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 371*p**4 - 26802*p**3 + 24*p + 76400.\nAnswer: 4452*p**2 - 160812*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.4 (b) 294 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -594*a**2 - 384*a + 8.\nAnswer: -2*(3*a + 2)*(99*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-23)*r)\/((r*r*r**9*r)\/r) assuming r is positive.\nAnswer: r**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**4 + 292*j**2 + 516*j**3 - 256*j**3 - 253*j**3 wrt j.\nAnswer: -96*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*n = 139*n - 152. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + (-1 + 0 - 1). Let j(s) = s**2 - 5 - 3*s**3 + 4*s**2 + 2*s**3 + 2*s. What are the prime factors of j(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 + 0 + 0 + (-3*r + 2*r + 0*r)*(-3*r - r + 0*r))*(3*r**2 - 16*r**2 + 55*r**2) to k*r + t + v*r**2 + d*r**3 + z*r**4 and give z.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -3, 4, 25, 66, 133, 232?\n\"Answer: k**3 - 2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 0 - 4*y**2 + 2*y**2 + 3. Let i(x) = -2 - 6*x**2 - 6 - 212*x + 109*x + 103*x. Calculate 8*a(c) + 3*i(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 1 - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 + 32 = -2*j. Let c(r) = -j - 26 + 13*r**2 + 57 - 2*r. Is 8 a factor of c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001845 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 18, -95, 5, 88 in descending order.\nAnswer: 88, 18, 5, -19, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10559 - -10558.9. Which is the closest to 0.3? (a) k (b) -4 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -199 - -199. Suppose w = -11*o + 3 + 41. Solve -3 = 3*l - 3*r, -o*l + 5*r - 3 - 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-6)*((-14)\/(-15) + (-30)\/225). Let r(u) = -4*u + 1. Let k(o) = -o**2 - 5*o + 2. What is v*k(n) - 3*r(n)?\nAnswer: -2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 12) to base 7.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6405 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 982920 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -16*l**3 + 139*l**2 + 14*l + 27. What is p(9)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - (-1 + sqrt(68)*2 + sqrt(68)))) + 2*sqrt(68)*-3)**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 2 - -18) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 3, r: 7, d: 1, z: 4}. What is prob of picking 1 z and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1 + 1 + sqrt(300))**2 + -1 + sqrt(300) + 0 + sqrt(300))*3 + -3.\nAnswer: 60*sqrt(3) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 4*r**2 - 4*r - 10. Let d(n) = -2*n**2 + 3*n + 4. Determine -5*d(v) - 2*o(v).\nAnswer: 2*v**3 + 2*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000630920278 rounded to 6 dps?\nAnswer: 0.000631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7276, -7275, -7274, -7273?\n\"Answer: z - 7277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10634 * -4322.\nAnswer: -45960148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 670 + 170. Solve -59*l + 52*l = r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**3 + 119*z**4 - 120*z**4 + 3*z - 2*z**3 - 5*z in the form y + t*z**2 + m*z + x*z**4 + c*z**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*p**4 + 198*n*p**2 - 248*n*p + 165644*p**6 wrt p?\nAnswer: 24*n*p + 19877280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(((-9)\/(-2))\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1346\/62943?\nAnswer: -1346\/62943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 346\/(-4)) + 15\/(-30). What is y rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26372983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.695 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/156 and 73\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-20) - (-14 + (7 - -3))) + (-6688)\/110?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 + -118.132. Let z = u + 1.132. Which is the closest to -2\/5? (a) 6\/5 (b) z (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, c: 1, t: 6}. What is prob of picking 3 t?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0*s + 0*s**5 + 0 + 11\/6*s**3 - 8*s**2 + 0*s**4 - 1\/12*s**6. What is the first derivative of l(n) wrt n?\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3204 and 186.\nAnswer: 99324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c**2 + 2*c**2 + c**2. Let j(q) = 1. Let n(s) = -s - 5. Let w(m) = 5*j(m) + n(m). Give w(p(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 205*f - 1427. Let o be s(7). Solve 31 = 23*i + o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4300\/15)\/2*30. Let t be (-41 - -1)*(-100*h)\/(-2). What is t rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 + (-21)\/15. Is -1*(w + 3 - 769) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*f - 1)*(1 + 0 + 1)*(9*f**2 + 6*f**2 - 14*f**2) in the form v*f**2 + a*f + p + w*f**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z**2 + 377*z + 40. Let o be n(42). Which is the nearest to 78\/5? (a) -0.5 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48.6708*58.\nAnswer: -2822.9064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.6396 or -1416?\nAnswer: -1416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 676314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2781.4 - 3?\nAnswer: -2784.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 2:20 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, and 1 w when three letters picked without replacement from {k: 1, w: 4, q: 5, i: 1, e: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1104 - -1137. Suppose -7 = -3*p + 11. What is the greatest common factor of p and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9144*o. Let v(k) = 6*k. What is m(v(h))?\nAnswer: -54864*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 55 = 2*k - 7*k, 0 = -2*r - 3*k + 27. Suppose c - 2*h = -r, -h + 9 = 5*c - 16. What is the highest common divisor of c and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 36, 71, 118, 177, 248, 331?\n\"Answer: 6*p**2 + 5*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v, 2*j - j + 4 = -2*v. Suppose 5 = j*n - 1. What is the remainder when 11 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 20 = 3*n. Let i = n + -2. Suppose 0 = -2*w + 5*k + 433, -k + i*k + 212 = w. What is the greatest common factor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + (3 + sqrt(45))*2))**2.\nAnswer: 2100*sqrt(5) + 5725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128578401 and 945?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127615 = 5*d - 2*h - 5510, 4*d + h = 106487. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bds when three letters picked without replacement from {b: 2, t: 4, s: 1, u: 2, d: 3, q: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = -1. Suppose t*p - 12 = 3*p. Differentiate p - x + 6*x - 6*x wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - 3*x**2 + 0*x**2 - x**5 + (4 - x**2 - 4)*(4*x - 4*x - 2*x**3) + 146*x**3 - 23*x**5 - 146*x**3.\nAnswer: -22*x**5 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10*d - 44. Let s(w) = -29*w - 132. Let u(g) = 11*r(g) - 4*s(g). Let k be u(-7). Solve k*v - 5*h + 1 = -3, 5*v = 2*h + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b = 104*b + 256 + 184 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244038 is divided by 20318?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/2 + (-687)\/(-6) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 163613757*w**3 - 79244262 with respect to w.\nAnswer: 490841271*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, 160, 589, 1430, 2821, 4900, 7805, 11674?\n\"Answer: 23*r**3 - r**2 - 3*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*d + 3*l + 12, -2*l - 3 = -d. Suppose 0 = 2*b + 5*n + 3 + 11, d*b + 4*n + 1 = 0. Solve 15 = 4*x + b*f - 8, -x - 2*f = -7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 5*b**2 + 9*b - 2. Let i be h(6). Let p = 106 + -152. Let u = 86 + p. Calculate the greatest common divisor of u and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + 12*l - 10. Let r be v(-5). Let z(m) be the second derivative of -m**3\/3 + 5*m**2\/2 - 2*m. Give z(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3533120 by 20.\nAnswer: -176656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 + -92*35\/(-616) and -1\/2520?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 547?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*s**3)*(s - 124*s - 11*s).\nAnswer: -268*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from ndirrdndd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f - 92 = -4*q, 5*f = -10. Suppose 0 = -0*z - 2*z + q. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**4\/7 - 240*f**3\/7 + 8684*f**2\/7 - 12720*f + 39326 = 0.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03 or 1137.1?\nAnswer: 1137.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 6*g + 4. Let w be y(-6). Let a be -3 + 1 - (1 + 0). Put a, -5, w in ascending order.\nAnswer: -5, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-6583)\/(-348) - 1\/12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*q = -63*q + 142. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.035 times 9554\nAnswer: 334.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336917*w - 21*w**3 - 336917*w.\nAnswer: -21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19443009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3862.\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -182.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 23*u**2 - 44*u - 61. Is g(25) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t = 8. Let q be ((-426)\/t)\/((-2)\/4). Let a = q + -383. Round a to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*i + 102. Let m be (i\/40)\/((-4)\/6). Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -90, -79, -52, -3, 74?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/1241 (b) 0.2 (c) 4 (d) -46\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 133613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -138905 and -1.15.\nAnswer: 159740.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 - 10 = -5*w - 5*b, 317811 = 2*w + b + 317796 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**19*b*b*b*b**1*b assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*r + 76*r + 9040 - 1472 = 0. Solve -39*g = 4*g - r for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/48 and 13\/3216?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 665. Calculate t(-81).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1087744 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 12*s**2 + 2. Let q be w(12). Solve -q = a - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r + 30. Let a be p(0). Suppose d = -5*d - a. Let b = d + 5. Solve 3*w - w = b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 + z - 3 - z**2 + 4*z**2 + (-6*z + 5*z + 2*z)*(0 + 0 - z) as d*z**2 + l + r*z and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x - 22 = 5*x - 106. Solve 3*p - 2 = -x*l + 1, 5*l + 25 = 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times -39?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 30*g - 312. Calculate o(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abbia. Give prob of sequence aiab.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1620? (a) 5 (b) 0 (c) 1\/6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from llwlllllllw.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4205 from -20.\nAnswer: -4225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**3 - y**2. Let p be v(1). Suppose -2*x - p*x + 16 = -c, -3*x = -3*c. Suppose -4*o = -3*o - z - 82, 5*z = c*o - 333. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -25. Let g be o + -1 + -7 + 7. Suppose -g*r = -11*r. Solve r*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 15 = -b, -3*o + 3 = 2*b - 4*o. Let g be 2*6*(1 + 0). Is 12 a factor of 2\/b - (-424)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.4? (a) 1 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -69. Suppose -4*f + 8 = -4*t, -f + t + 5 = -t. Let m = w - f. Solve 1 = -2*q + m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7)\/r**8*r**(3\/4)*(r\/(r*r\/r**2))\/r)**3 assuming r is positive.\nAnswer: r**(-597\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949 a factor of 1839102564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4084 + 4232 = 22*l. Calculate the greatest common divisor of 162 and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.2 - -38. Let d = v + -7. Let x = 2.65 + d. What is x rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 6*d**2 - 6*d - 2. What is p(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -73891.66507 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217814.\nAnswer: 2, 108907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -1\/100*z**5 + 0*z**4 - 9*z - 4*z**2 + 1\/200*z**6 + 0 + 0*z**3. Let a(r) be the first derivative of u(r). Factor a(q).\nAnswer: 3*q**2*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + 3 + (-4*(sqrt(153) + 1 - sqrt(153)) + sqrt(153) - sqrt(153)) + (sqrt(153) + (sqrt(153) + 1)*-1)*-1*-2)**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4*w**3 + g**4 - 5*g**2*w + 385*g*w**3 + 5*g*w**2 + 2*g*w + 1 wrt g.\nAnswer: 12*g**2*w**3 + 12*g**2 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/((-14)\/(-8)))\/(42\/49). Let -16\/3 - 4*b**2 - u*b**3 - 8*b = 0. What is b?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 15*n + 20. Let a be m(-14). Let g(b) = -b - 4*b + a*b + 11*b + 2. What is the lowest common multiple of 68 and g(1)?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 20 + 29 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 12 - 8 - -11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 303 and 240077?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/171?\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, y: 12, r: 3}. Give prob of picking 1 y and 1 s.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1133 - -1136. What is the third biggest value in b, -1, 3.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 8*j**2 - 12*j + 5. Let q be d(6). Suppose -q*b = -2*b + p + 7, 4*b + 8 = -2*p. Is b\/(6\/4) + (1041 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*k**3 + 35*k**3 + 29*k**3 + 14*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.71744*9.\nAnswer: 6.45696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, t: 1}. Give prob of picking 1 t and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2 and (-30)\/32*(-10488)\/431946?\nAnswer: 5052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -77. Suppose m = -2*p - 6, 5*m - 5*p = m + s. Let f(o) = o**3 - 3*o**2 - 5*o + 6. Let h be f(m). Let l(k) = k. Give l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**2 - 5*a - 5. Let i be r(-1). Put -3, 1, 5, i in increasing order.\nAnswer: i, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 6, -3, -5, -7 in ascending order.\nAnswer: -7, -5, -3, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 - 13*c - 21. Let h(j) = j**2 - j - 1. Let a(v) = -5*h(v) + i(v). Suppose a(t) = 0. What is t?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 3:23 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:33 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*b = -520 + 199, 11*w + b + 1177 = 0 for w.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 5*g - 10, -2*g + 1 = -10 + 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -14. Solve -3*d = -2*v - 19, -3*d - g = 2*v - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11817 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 79*i**2 - 188*i - 754. What are the prime factors of d(-78)?\nAnswer: 2, 13, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -64*t**3 + 39*t + 40. Determine s(-1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -256, -409, -596, -829, -1120, -1481, -1924?\nAnswer: -2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 + 123*f**2 - 258*f + 71. What is the remainder when 3688 is divided by d(-43)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5014 - 0?\nAnswer: -5014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131489 + 63189. What is l rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x + 5*s = 18, -4*s + 40 = 4*x. What is the greatest common divisor of x and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -7.4. Suppose 2*i + 2 = -0. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.286 + -0.286. Let a = -14.3 - -54.8. Let r = a - f. Is 0 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 11*v**2 + 10*v + 2. Let u be g(10). Suppose u*n + n - 306 = 0. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {k: 3, j: 2, s: 1, u: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, r: 5, m: 4}. Give prob of picking 4 m.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 230 = -13*g. Suppose 3*p = g + 4. What is the common denominator of -45\/8 and (p\/3 - (-68)\/10)\/6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v**4 + 3*v**4 - 2*v)*(14 + 4 - 8).\nAnswer: 10*v**4 + 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 3*y - 3, -4*u - u + 5*y - 8*y - 18 = -y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440) - -3*sqrt(440))*6)\/sqrt(8))\/(sqrt(55)\/(sqrt(40)\/(sqrt(16)\/sqrt(2)))).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/9*2340\/(-480) - 48\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131994584899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-262)\/6 - 5\/15. Suppose 0 = 2*u - 0*u - 36. Let j be (-4)\/u - v\/36. Sort j, -1, 4 in ascending order.\nAnswer: -1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, -5, -19, -41?\n\"Answer: -4*z**2 + 6*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. Solve t*m + 17 = -m + 3*v, 2*m - 4*v + 6 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 - 145*s**3 - 131 - 138 + 415.\nAnswer: -145*s**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*x - 6 + 13 - 7.\nAnswer: -148*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4847*t + 690 = 5470*t - 19246 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111185781917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 15 = 3*g, -1 - 2 = 3*n + 4*g. Suppose 3*u = -0*u + 2*f + 277, 283 = n*u - 5*f. Calculate the greatest common divisor of 65 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 123884, 123857, 123822, 123779, 123728, 123669?\n\"Answer: -4*i**2 - 15*i + 123903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**2 + 3*x**3 - 4*x**2)*(10 - 3 + 1 + (0 - 3 + 2)*(2 + 2 - 2) + 0 + 3 - 2) as n*x**3 + o + i*x + r*x**2 and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f - 120 = -653. Solve -f = -d - 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2621*f + 5285*f = 2638*f + 754 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - (sqrt(931) - (-1 + sqrt(931))))*3)**2 + sqrt(931).\nAnswer: -119*sqrt(19) + 8388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 224*b - 3896. Calculate i(-90).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 108 - 207 = 0. Let h = p + -32. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -30. Let m be (1*-1)\/((-3)\/(-15)). Let h = m - y. Calculate the lowest common multiple of 7 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621277171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g**2. Let f(a) = -2*a**2 + 217. Calculate s(f(k)).\nAnswer: 32*k**4 - 6944*k**2 + 376712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-18))**47*(y\/(y*y\/(y**(-2\/11)\/y)))**(-21))**30 assuming y is positive.\nAnswer: y**(-248550\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 8*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856356116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let r(a) = a**3 - 5*a**2 + 4*a + 3. Let b be r(6). Let h = 129\/2 - b. Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 25)\/(16\/(-48)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmnnsnymnsssqsmjqs. What is prob of picking 1 s, 2 j, and 1 y?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(-5*4*(sqrt(405) + sqrt(405) + 0) - (((2*sqrt(405) - sqrt(405))*4 - sqrt(405)) + sqrt(405) + (sqrt(405)*1 - sqrt(405)) + -3))**2 + 3.\nAnswer: -3920440 + 11880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/60 + (18\/(-15))\/(-6). Which is the nearest to -1? (a) h (b) -1 (c) -2\/3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 + 3. Let t = m - 0.19999914. Round t to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144997 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*8\/(-6). Suppose -5*c = -10, -u*c = 2*n - 4*c - 6. Suppose 3*o + 3*f = 105, -31 = -n*o + 4*o + 3*f. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/((x*x*x**(2\/21)\/x*x)\/x))\/x))\/x*x**5)\/((x\/(x*x**(-9)\/x))\/x*x**(-1\/2)) assuming x is positive.\nAnswer: x**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + m - 1. Let v be 1\/(-4) - 27\/(-12). Let f(d) = -d**4 - 2*d**3 + 3*d**2 - 2. Let g(s) = v*b(s) - f(s). Factor g(y).\nAnswer: y*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15 - 1185\/(-75))*10\/(-4). Let p(b) = 1768*b**3 - 187*b**2 + 187*b - 187. Let t(n) = 19*n**3 - 2*n**2 + 2*n - 2. Give c*p(o) + 187*t(o).\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 h, and 1 k when three letters picked without replacement from lzqhhlkhllhhklllm?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6309 - -9048. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1843404117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10271.\nAnswer: 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 - 2*l**2 - 5*l - 6. Suppose 0*w + 20 = -4*w, -j + 26 = -4*w. Let m(h) = 11*h**3 - 6*h**2 - 14*h - 17. What is j*m(d) - 17*z(d)?\nAnswer: -2*d**3 - 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*(sqrt(13) - (0 + sqrt(13)*1)) + -1)**2 - ((-6*2*sqrt(13) + -2)**2 + sqrt(117)*3 + 2).\nAnswer: -1878 - 57*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 5*a + 5*a)*(13 - 24 - 18).\nAnswer: -58*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/4)\/(2\/(-10)). Let m(n) = n**2 - 3*n - 10. Let z be m(c). Suppose 6 = -3*r + 24. Solve z = -g + 3*g - r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**7\/14 + c**4\/12 - 5*c**3 - 21*c**2. What is the second derivative of b(k) wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28208911 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15144052 (base 6) in base 9?\nAnswer: 883005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(392)\/(sqrt(24)\/(sqrt(24)\/sqrt(8) + sqrt(3))))\/(sqrt(7) - -6*sqrt(28) - 5*1*sqrt(7)) + -4)**2.\nAnswer: -5*sqrt(7)\/2 + 407\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 45 = -r + 3, -3*q - 93 = -2*r. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w = 6. Let q be ((-8)\/6)\/(w\/72). Suppose 2*m = -m + 12. What is the highest common factor of q and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448932.\nAnswer: 2, 3, 11, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -368 + 367. Is z\/(-75)*10 + (-395533)\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 4*m = 4*x + 23, -2*m = x + 1. Suppose 0 = -3*k - 5*t + 5, x*t - 16 + 37 = 3*k. Suppose -l = -k*l + 1516. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197*-848\nAnswer: -167056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 8*f**2 - 28*f + 11. Give u(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18291.44 millimeters to nanometers.\nAnswer: 18291440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2. Let q(v) = v. Let c(x) = -3*x - 1. Let w be c(-1). Let t(r) = -3*r**2 + 9*r. Let j(u) = w*t(u) - 18*q(u). Determine y(j(f)).\nAnswer: 180*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 + 0*o**3 - 2*o**4 + (o**2 + 0*o**2 - 3*o**2)*(3*o**2 + o**2 - 2*o**2) - 117*o**4 - 71*o**2 + 71*o**2.\nAnswer: -123*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 = -363*p + 410 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 5*l + 4*l = 0. Suppose -19*a + 50 - 12 = l. Suppose -4\/11*g**3 - 6\/11*g**a + 2\/11*g**4 + 8\/11*g + 8\/11 = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiigiiiiiii. Give prob of sequence iiii.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9637162507.221 - 4.\nAnswer: -9637162511.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197*s = 1190*s + 17*g + 220, -s = -3*g - 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3684421*q**2*z**2 - 4*q**2*z - 47423*q**2 - 4*q*z**2 + 18*z - 2 wrt z.\nAnswer: 7368842*q**2 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11800 + 18558 = -293*t + 17173 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 + -1110413?\nAnswer: -1111032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2372, 4380, 6386, 8390, 10392, 12392, 14390?\n\"Answer: -t**2 + 2011*t + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9)*b**(-1\/8)\/b assuming b is positive.\nAnswer: b**(-81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2655, -2497, -2339, -2181, -2023?\nAnswer: -1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 72?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101313232 (base 4) to base 2.\nAnswer: 10001110111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (671\/(-33))\/((-2)\/(-6)). Let u = y - -121. Suppose 2*i - 3 - 21 = 0. Calculate the highest common factor of i and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 419588, 837023, 1254458, 1671893, 2089328, 2506763?\n\"Answer: 417435*z + 2153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2269227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Let l = -13 - -13.04. Let o be (-6*(-4)\/(-6))\/2. What is the closest to 2\/7 in o, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 27. Give j(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 1 + 1)*(6 + 3*p - 6) + 6*p**4 + 3*p**4 - 2*p**4.\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6571, -26462, -59601, -105982, -165599, -238446, -324517, -423806?\nAnswer: -536307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -25*h**3 + 4*h**2 + 121*h + 4. Let m(t) = 77*t**3 - 14*t**2 - 354*t - 13. What is 7*j(n) + 2*m(n)?\nAnswer: -21*n**3 + 139*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114510419*c*u + u - 26139591 wrt c.\nAnswer: 114510419*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + -5 + 0)\/1. Let y be 8\/(-36) + f\/((-324)\/(-231112)). What is y rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -3\/8 (b) -1\/5 (c) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 20544.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12990536 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 36*v**2 + 477*v + 18146. Calculate t(-33).\nAnswer: -862","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (736\/(-24))\/(3 - 74\/24) and 2024.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7 = 3*l + g, 0 = 2*l - 3*g - 21. Find the second derivative of 0 - 15*w + 22*w**l + 28*w**3 + 4 wrt w.\nAnswer: 300*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 9*k. Suppose 0 = 2*a - 4 - 6. Let u be w(a). Let y be u\/(-4 - 0) + 4. Sort 2, y, 5.\nAnswer: y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -35 (b) 452 (c) -1\/3 (d) 2\/9 (e) -0.5 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 31*i**3 - i. Suppose 5*x = -2*l - 1, -17 = -5*x - 0*l + 4*l. Let m be z(x). Suppose -5*s + m + 35 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2183*d. Let f(k) be the first derivative of -k**2\/2 + 4228. What is f(j(m))?\nAnswer: 2183*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 4. Let r(b) = 3*b**3 + 1. Let f(p) = -7*p**3 + p**2 + p - 8. Let c(z) = -f(z) - 3*r(z). Give -2*c(h) + 3*j(h).\nAnswer: h**3 + 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604510614 divided by 1.\nAnswer: 604510614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -4, 4, 2, 9 in ascending order.\nAnswer: -4, 2, 4, 9, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iis when three letters picked without replacement from {j: 1, a: 4, s: 1, c: 2, i: 7}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*i = 2*i - 50, 0 = -n - 3*i + 62. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = 137.975656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35574 + -24864. Does 45 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*m**3 + 3*m**2 + 4*m**2 + 669*m**3 - 334*m**3 - 4*m**2.\nAnswer: 13*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 0 - 15*j - 7 + 0 - 13. What is the remainder when z(10) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + l. Let t be b(1). Suppose -t*m + 65 = -55. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2401*d**3\/8 - 3676519*d**2\/8 + 112533*d - 13779\/2.\nAnswer: (d - 1531)*(49*d - 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a + 6243 = -x, 5*a - 7835 = -5*x. Suppose -12*b + 2890 = -a. List the prime factors of b.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z - 80 = 0. Let b be (0*(-5)\/z)\/(-2 + 0). Which is bigger: b or -43?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/2*(-4 - (3 - 7)). Suppose h*s - 3*s = -15. What is the smallest value in 0.4, -18\/19, s?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 3 - (-8 - 1)) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 + 65193*t**2 + 1062694776*t + 5311844180 = 0. What is t?\nAnswer: -32594, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200222102 - -11200110?\nAnswer: -1112021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*q + 39*q + 1344 = 0. Suppose -267*i + q = -261*i. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 9 - 39 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*y + 160038*y**4 - 5*y**3 - 160039*y**4 + 4*y**3 + (-2*y + 1 - 1)*(3*y**3 - 3*y**3 + 2*y**3) + 2*y**4 + 4*y - 4*y.\nAnswer: -3*y**4 - y**3 - 34*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -13\/3*q**3 - 1\/2*q**2 + 0 - 24*q. Differentiate h(a) with respect to a.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**2 - 8 + 9 - 9*d**2)*(-1 + 1 - 2*d) as o*d**2 + i + r*d**3 + s*d and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.45 and -0.7?\nAnswer: 5.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 829035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 minutes after 1:00 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -309 - -316. Put -2, s, -5, 2 in ascending order.\nAnswer: -5, -2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(((b**0*b)\/b*b)\/b)\/b)**(-1\/42)\/(b**(-4)*b*b\/(b\/(b*((b**4*b)\/b)\/b))*b*b) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 29*r - 50*r. What is the nearest to 3\/4 in r, 1, 5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/15 - a**5\/30 - a**4\/12 + a**3\/2 - 337*a**2 + 3. What is b(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14627374 >= -14627371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 5, -1640, -59 in descending order.\nAnswer: 5, 4, 2, -59, -1640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 350.1183 nanometers in meters?\nAnswer: 0.0000003501183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**3\/2 - 8*w. Calculate z(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5 - 26*b**4 + 132*b**3 - 324*b**2 + 378*b - 162 = 0. What is b?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179 - -99. Let w be ((-12)\/(-15))\/((-2)\/p). Suppose -3*i + 30 = 3*h, -3*h - 2*i + w = h. Let q(b) = b**2 - 7*b - 3. What is q(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0.2. Let d be -1 - (-2 + 5 - 4). Let k = 1 + 0. Which is the smallest value? (a) k (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(147) + -2*2*sqrt(147) - (3 + -2 + sqrt(147)))**2 + sqrt(147) + 4 + 1 + sqrt(147) + 3 + sqrt(147)*4.\nAnswer: 98*sqrt(3) + 2357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -9. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40471 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2960*z**2 + 1113?\nAnswer: 5920*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 138*p**2. Let q(n) be the first derivative of 0*n + 197 + 0*n**2 - 2\/3*n**3. What is q(u(z))?\nAnswer: -38088*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-717 + 717 + 24*l).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - -20?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15486 or -15423?\nAnswer: -15423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q**2. Let a be 30\/(-25)*(-1)\/2*135. Let r = a - 82. Give f(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 106 and 8.4?\nAnswer: 890.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 195*i + 559. Is d(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139761 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4199, -4756, -5313?\nAnswer: -5870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ddddfdffdfddf?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.079? (a) 46 (b) 0.29 (c) -5 (d) 0.1 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/25*((-680)\/24)\/(-17). Let l be (7 + -2)*1 + -2. Solve -3*q = 5*u - 4, 0 = 3*u + 5*q + m + l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-272)\/144*-9)\/(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/12)\/((-2)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342896 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 178076*x - 3739645\/3.\nAnswer: (x - 7)*(x + 534235)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((2\/8)\/((-14)\/(-112)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2452*a - 2859*a + 1193*a.\nAnswer: -4118*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/1)\/3 + -13. Let m = p - -32. Let b(s) = -3*s - 1. Calculate the lowest common multiple of b(-5) and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.924 + -3. Let r = -0.0760109 - y. Round r to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1244955 (base 10) to base 12.\nAnswer: 500563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*n + 3*r, -98 + 102 = -4*r. Suppose 6*v - 11*v = -4*j + 2, -j - n = -2*v. Solve 4*s = 8, 3*z - z + v = s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c**(-3\/4)*c)**(1\/4)\/(c\/c**(-10\/9)*c**(-10)) assuming c is positive.\nAnswer: c**(1253\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -45780 at least as big as -45781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4309 - 1a?\nAnswer: 429a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/(-18) + (-11)\/(-2). Let j be 36\/q*(-1)\/(-3). Suppose -j*y = -3*g - 9, y - 2*g = 3*g + 3. Solve 2*f = h + 5, 3*f + 13 - y = -2*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17\/266 - -3\/38. What is the nearest to -0.2 in -31, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 + 47 - 2*g**4 - 2*g - 92 - g**2 + 47 to u + o*g**3 + p*g**4 + f*g + h*g**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**6\/120 + b**5\/15 - b**4\/24 + b**2. Suppose -5*k + 8 = -k. Suppose k*u - 5 = -v, 4*u - 2*v - 25 + 3 = 0. Give d(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360232 divided by -148.\nAnswer: -2434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {v: 1, r: 3, i: 4, b: 1, u: 6}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125 - -2?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 21*k + 59. Let l be 15\/(-6)*52\/65 - 1. Give z(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4070477 to the power of 1\/2, to the nearest integer?\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(-2*k + 2*k + 2*k) - 9*k - 5*k + 8*k)*(2 + 4*k + 2 + 0) - 8*k**2 + 17*k**2 - 23*k**2.\nAnswer: -46*k**2 - 32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 d, and 1 g when four letters picked without replacement from {d: 1, f: 3, v: 7, g: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16465594 plus 0.78228?\nAnswer: 16465594.78228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2162 is divided by 1071.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 74099593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Let c(o) = -o**2 + 38*o - 99. Let p be c(3). Let x(h) = -h**3 + 6*h**2 - 7. Determine p*a(i) + x(i).\nAnswer: -i**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-3))\/((-2)\/3). Suppose -y*c - 4 = c - 4*z, c = z. Suppose 3*q**c + 8*q - 2 - 4*q**3 - 8*q**2 - 4*q**5 + 4*q**4 + 3*q**4 = 0. Calculate q.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*j = 92*j + 90. Suppose -7*d = -8*d + 15. What is the smallest common multiple of 10*(-1)\/(d\/(-12)) and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-20))**4\/((o*(o**(-38)\/o)\/o*o)\/(o**(-3\/44)\/o)) assuming o is positive.\nAnswer: o**(-1895\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 3 - 3)*(2 + 2 - 3) - 11 - 57*g + 15 - 6 + 80 - 13*g - 80 to the form a + b*g and give b.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 611*d**6\/120 - d**5\/30 - 71*d**4\/24 - 2*d**3\/3 - 135*d**2. What is the second derivative of c(f) wrt f?\nAnswer: 3666*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2355 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 829*m - 29346 = -543*m + 6326 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-7)*(26\/(-6) - -2)*-1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130383?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.95 + 9. Let u = 0.0499994 - s. Round u to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 11 - 9)*(-14*w + 77*w - 30*w).\nAnswer: -1287*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d + 106. Calculate f(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-140)\/(-24)))\/((-45)\/945)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2239530514 to the power of 1\/2, to the nearest integer?\nAnswer: 47324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -110.755636 to 2 decimal places.\nAnswer: -110.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/16 + (-22)\/(-8). Suppose -4*p = -j*p - 11. Let n = 2 + 1. What is the lowest common multiple of n and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*3*-2)\/(sqrt(700)*-3).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w + w**3)*(-2 + w + 2)*(-103 + w + 200 - 117).\nAnswer: w**5 - 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9052140 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(153)*-2*-3) + 2*-1*sqrt(153) + sqrt(153))\/((sqrt(216)\/sqrt(4)*3)\/(-1*sqrt(486))).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = -2 + 18 + 22. Solve b*g + 4*x + 16 = 0, 0 = 3*g + 2*x + 9 - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -20*c**2 + 22*c**2 + 2*c - 2*c. Let n be (1 - 0)\/2 + 1125\/10. Let q(o) = -4*o - n + 113. What is q(d(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let x(j) be the first derivative of 0*j**4 + 15 + 2*j**3 + 3\/20*j**5 + 0*j + 0*j**2. Let q(t) be the third derivative of x(t). What is o(q(i))?\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 96183 divided by 5?\nAnswer: 96183\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**11)\/y)**(-1\/32)*(y**(-3\/4)\/y)\/((y*(y**(-4)*y)\/y*y)\/y) assuming y is positive.\nAnswer: y**(51\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35993, -71723, -107201, -142433, -177425, -212183, -246713?\nAnswer: -281021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 2877\/83?\nAnswer: 2877\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 7. Let d(l) = -8*l - 20. Suppose h = -0 + 2, b - 14 = -3*h. Suppose -2*s + b = -20. Determine s*g(f) - 5*d(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 146 + -31c?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 i, and 2 m when four letters picked without replacement from {m: 2, i: 6, r: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 4 - f + 5*f + f. Let r be o(0). Suppose 0 = -r*p + k + 20, 4*p - 5*k = -k + 20. Solve -3 - p = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -185086*g + 23852 wrt g.\nAnswer: -185086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -14*a + 66*a**3 - 18 - 2 - 65*a**3 + 12*a**2. Let l be w(-13). What is the tens digit of -2 - (8\/14 + 158\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 3650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 10:38 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*p + 77*p - 4*o - 28 = 0, -4 = 4*p + 3*o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 11) to base 9\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f + 43. Let n be u(-14). Solve -3*y = 4*o + n, o + 4*y - 2 + 12 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**24)**(-1\/11)\/(o**(-2\/57)*o*o**4) assuming o is positive.\nAnswer: o**(-4481\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcjj when four letters picked without replacement from ckcwpcwjjwjckj?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23315250 - 6?\nAnswer: 23315241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((-32)\/4 - -3). Let f(a) be the first derivative of -h*a**3 + 23*a - 17 + 6*a**3 - 19*a. What is the derivative of f(y) wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*i + 10. Let c = i + 1. Is c <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -12276?\nAnswer: 12281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5528423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n**2 - 17*n - 17. Let o(w) = 2*w - 4*w + 4*w + 2 + 12*w**2 - 11*w**2. Let d(f) = -51*o(f) - 6*y(f). Let t(u) = 5*u. Give d(t(h)).\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*q + 30. What is the remainder when (532\/21)\/(4\/6) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25456*g**3 + 201*g**2 - 124*g + 2.\nAnswer: 152736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/4 of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20869.37 + -20765. Round w to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smvan. What is prob of picking 1 a and 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 4*y = -684. Is 4*(y\/12 - -4) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(75) + -1))**2.\nAnswer: -40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -18, -8, 28, 102, 226?\n\"Answer: 2*r**3 - 5*r**2 - 3*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*u - 84. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9493 plus -4?\nAnswer: 9489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*m**2 + 5 - 5 - 46*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4645906, -9291810, -13937720, -18583636, -23229558, -27875486, -32521420?\n\"Answer: -3*t**2 - 4645895*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 4:42 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7017*m**2 + 62. Let n(a) = 11*a. What is c(n(x))?\nAnswer: 849057*x**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 672585745 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131519445 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Suppose 12 = -3*n + 5*n + r*m, -5*n + m = 0. Let a be (n\/(-2))\/((-2)\/12). Solve j + 2 = a*i - 13, -5*j - 3 = 3*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*j, -62*n + 65*n - 9 = 3*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, z: 8, l: 3}. Give prob of picking 2 f.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + 2*h)*(150*h - 66*h + 3 + 29 - 65*h + 2).\nAnswer: 38*h**2 + 68*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 75804 + 84965 = 0. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73a6d + -68?\nAnswer: 73a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/25? (a) -1\/7 (b) 74\/9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 4. Suppose -p + 2*g + 4 = 6, -p - 8 = 4*g. Calculate the lowest common multiple of k(p) and 60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -19, -90, -221, -430, -735?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 3 + -2 - -587. Suppose 363 = 3*a + 3*d, -5*a + 10*a - 5*d - y = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 2*s**3 + 5*s**2 + 0*s**3 + s**3. Let x(i) = i**2 - 5*i + 3. Let q be x(5). Let j be l(q). Solve 4*n + 2 = -r + j, r = 5*n - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17831 times -0.5?\nAnswer: -8915.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udx when three letters picked without replacement from {d: 7, m: 1, u: 5, o: 2, x: 4, z: 1}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 54 = 4*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (15 + -1 - (191 + -210))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6300485 or -2\/69?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*c**2 - 540*c**2 + 11*c**3 + 1613*c**2 - 532*c**2.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 3, -2\/193, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -405 or 0.08?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2. Let b(l) be the first derivative of -2*l**3\/3 + l + 95. Give p(b(k)).\nAnswer: 12*k**4 - 12*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90088 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2\/5 - 3386344*u\/5 + 2866831421584\/5 = 0.\nAnswer: 1693172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*q + 184*q = 376*q + 3*h - 19, 0 = q - h + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 162, 4, 7 in ascending order.\nAnswer: 4, 7, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16*k**2 - 7*k + 6. Let r be (-15)\/5 - (-1 - -3). Let x(q) = 11*q**2 - 5*q + 4. Let p(t) = r*u(t) + 7*x(t). Differentiate p(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1189 = -11*r + 1211. Suppose 7 - 2 = 5*n. Suppose 0 = 3*m - 46 + n. Solve r*a - a = -g - 3, 3*g + m = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.64399 or -890?\nAnswer: -4.64399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 4*v + 2. Let p be f(2). Let o be -3*(p\/2)\/3. Let l(j) = j + 3. Let w(a) = -4 + 11*a + 4 - 10*a. Determine o*w(z) + l(z).\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5 + sqrt(1008)*2 + sqrt(1008))*-4 - (sqrt(1008)*-1 + 1)*6).\nAnswer: -144*sqrt(7) - 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*r**2 - 75*r**2 - 29*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*i - m, -48 = i - 4*i - 3*m. Suppose 4*n - 5*o - 84 = 0, n - 3*o = -3*n + 76. Calculate the greatest common factor of i and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -27. Let k = 3 - 0. Find the third derivative of -6 + y + v**2 - v**k wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5463478.\nAnswer: 2, 2731739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 + 2*y - 3. Let r be h(3). Suppose 4*v + 2*d = 372, v + 3*d = r + 54. Calculate the remainder when v is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**3 + g**2 + 9*g**3 - g**2.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 15 = -4*v. Let r = 21 + v. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.29, 0.0356, 2\/7, -1, -25?\nAnswer: 0.0356","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7598, -32222, -73880, -132572, -208298, -301058, -410852?\nAnswer: -537680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1542, 11248, 37596, 88908, 173506, 299712, 475848?\nAnswer: 710236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {v: 1, d: 3, t: 3, r: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(-2)*(-60)\/(-5). Suppose 27*i - l = 24*i. What is the smallest common multiple of i and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94852 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-130)\/(-416)*6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 4, -4\/9, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -730 + 730 - 10*z + (2*z - 2*z - z)*(4 - 3 + 1).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 0 (b) -19\/4 (c) -5\/2 (d) -2\/17 (e) 1\/3 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -104? (a) 1\/5 (b) 0.3 (c) -2\/11 (d) -358\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 2:19 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r + 83*r + 54 = 37*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*r - 98*r = 7*r - 2073234. List the prime factors of r.\nAnswer: 2, 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*x - 7 = x, 0 = -w + 4*x - 4. Let l = -8 - w. Solve -2*s + 2*b = -0*b + 6, -3*b + 6 = l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 140. Let h = v - -216. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 13*k - 329. Calculate p(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51767196 - 48143484289\/930. Let a = 66\/155 - v. Let j = -25535\/11 - -2319. Calculate the common denominator of j and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**7\/140 - g**5\/10 + g**3 - 19. Let m(y) be the third derivative of r(y). Find the second derivative of m(o) wrt o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2041 + -23341?\nAnswer: -30432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 3 (b) 0.06 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u + 16*u - 29110 = 9*u - 28424 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 18 = 3*l + 4, -5*l = -3*f + 8 + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 563 and 338363.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/((8\/164)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -22, -3, 1 in descending order.\nAnswer: 5, 1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3645100 and 729020?\nAnswer: 3645100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 295 and 20?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 14. Let z be d(-8). Suppose z = -3*g + n + 65, -4*n + 87 = 5*g. Solve -j - 2*j - 37 = -5*o, -3*o + j = -g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - -4. Let g = 16 - n. Which is the second biggest value? (a) -0.4 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 3:25 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 22560414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1852, 1840, 1810, 1750, 1648, 1492, 1270?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1799?\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 13\/12?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1.95476833?\nAnswer: 0.195476833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 25743 divided by 138\nAnswer: 8581\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at least as big as -5215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-6))\/((-2)\/(-4)). Suppose a - 39 = -2*a. Solve -4*n = -3*g + a, -4*g = -g - t*n - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220 - 11?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 733 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 741\/11 or 66?\nAnswer: 741\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 228*f - 8801. What is l(-62)?\nAnswer: 1491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 4*q**2 + 3*q. Let v be r(-2). Suppose -4*m = -h - 2, 5*h - 58 = -28. Solve -5*x = -x - m*t + v, 12 = -3*x - 2*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520)*3*4*6)\/(sqrt(1100) - ((sqrt(1100)*2 - sqrt(1100))*4 - sqrt(1100))).\nAnswer: -144*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 9*f - 5*f + 10*f. Let s(i) = 38*i. Calculate d(s(l)).\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2216130 and 5?\nAnswer: 2216130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1740*y - 4249. What are the prime factors of s(-14)?\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29173597.85 rounded to the nearest one thousand?\nAnswer: 29174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = 0, -7*l = -6*l - 5*y - 34. Let n = l + -8. Suppose -41*k + 5176 + 4*k**2 - n*k - 4852 = 0. What is k?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)*v*v**(2\/17)*v*v)**50\/(((v\/(v\/(v*v**(-4\/9)))*v)\/v)\/(v\/(v*v**(5\/2))))**(-10\/9) assuming v is positive.\nAnswer: v**(191785\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkrgm. What is prob of picking 1 g and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 23*d**2 - 76*d + 4. Give v(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -515588 divided by 605.\nAnswer: -515588\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (676\/(-4550))\/(15\/25). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 34*b**2 - 23*b + 38. What is r(2)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 17 = 3*v + 7, 4*v + 5*h = 5. Let t = v - -7. What is the derivative of -3*l**t + 2 - 3 + 0*l**2 + 0 wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26901623 is divided by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48952 is divided by 831?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 8. Let b be s(8). Let t = b + 7. Factor 7*h + 2*h + 2 + 0 + t*h**2.\nAnswer: (h + 1)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axwa when four letters picked without replacement from {a: 3, x: 3, w: 5}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13510 - -13502. Which is the smallest value? (a) r (b) 0.3 (c) 27 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81060186 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 o when three letters picked without replacement from oolnlnlo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/30 + 11*q**2. Let t(y) = 6*y. Determine c(t(z)).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 269*z. Let f(h) = -989*h + 1. Let a(c) = 11*b(c) + 3*f(c). Let p(u) = 7*u - 4. What is -3*a(m) - 4*p(m)?\nAnswer: -4*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/3 + 370*v\/3 + 2193 = 0. Calculate v.\nAnswer: -17, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/27 + 43\/9. Let j(n) = -524*n**2 - 12*n + n - 10 + 522*n**2. Let q be j(-4). Solve z*d = -4*y - q, -5*y - 6 - 11 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 1. Let h(z) = -z - 1. Let j(q) = -q**2 - 2*q + 13. Let w(a) = -4*h(a) - j(a). Let c(v) = 36*b(v) + 4*w(v). Factor c(x).\nAnswer: 4*x*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -5, 3, -2, -87 in increasing order.\nAnswer: -87, -8, -5, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 131. Suppose n = 6*n - r. What is the remainder when n is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 19\/(-9) + (-77)\/441?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 10*d = 6. Let f be 38\/4 - (-1)\/d. Find the second derivative of -9*w - 2 - 12*w**2 - 7 + f wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/50 and 75\/11798.\nAnswer: 294950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58 + 16617\/290)\/(-1 + 4\/(-24))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**5 - 313*p**3 - 100*p**2 + 0*p**5 + 236*p + 313*p**3 wrt p?\nAnswer: -20*p**3 - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -16 + 33 - 18. Let s(v) = -4*v + 7. What is 6*r(a) + s(a)?\nAnswer: -4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(209)*3*5 + sqrt(209) + sqrt(209)))\/(sqrt(275)*2*2).\nAnswer: -51*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2. Let l(a) = -4*a**3 - 3*a**2 - a - 1. Let c = -10 + 6. Let g(w) = c*t(w) + l(w). What is g(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.4356 * 209\nAnswer: 4271.0404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116964 - 1\/4*t**2 - 342*t.\nAnswer: -(t + 684)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -20, -4, -3, -5 in decreasing order.\nAnswer: 0, -3, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140*m**4 + 239812*m**3 - 15*m + 2895006 wrt m?\nAnswer: -1680*m**2 + 1438872*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -70, -127, -194, -271, -358, -455, -562?\n\"Answer: -5*m**2 - 42*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 176*b**3 - 3*b**2 + 3*b + 3. Is a(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21038, 168330, 568136, 1346714, 2630322, 4545218?\n\"Answer: 21043*k**3 - k**2 - 6*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8327703.\nAnswer: 3, 107, 25943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 1. Let a(n) = n**2 + 3*n - 10. Let j be a(2). Let b be (-8)\/5 - 4\/10. Let z = b - j. Determine o(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 5 = -14*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 2*c**2 + c + 3. Let a be z(0). Let k(l) = -l + 7. Let o be k(a). Suppose o*f - h = 124 + 114, -f + 50 = -5*h. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 7*n - 4. Let y = 93 - 43. Suppose -y = -14*q + 4*q. Calculate g(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + b - 5 = -6, -5*h = -2*b + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -2, -93, -0.12, 0.5, 3 in decreasing order.\nAnswer: 3, 1.3, 0.5, -0.12, -2, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a - d - 4 = 0, a - d = 4. Suppose -144 = -4*n - 3*h + 6*h, 0 = 5*n + 4*h - 211. Suppose -10*o + 7*o + n = a. Solve 4*k - o = 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(3\/4)\/g)\/((g*g**(3\/5))\/g)*(g\/(g*g**(-1)*g))**30)\/(g**(2\/3)*g**(1\/2)*(g**(-1))**27) assuming g is positive.\nAnswer: g**(1559\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124884*s**2 - 518*s - 60 wrt s.\nAnswer: 249768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.0342, -4, 0.1, 0, -1790\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55.4 - 55.4. Let m = -4 - -4.7. Let s = -0.3 - m. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*q = 24*w - 18*w + 134, w + 0*w + 0*w + 6 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l + 2*r - 22 = 0, 4*r = 2*l - 68. Calculate the greatest common factor of l and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/7 - 46520*j**2\/7 - 270513800*j\/7 = 0.\nAnswer: -11630, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5)\/j**(-1\/8))**(-15\/7) assuming j is positive.\nAnswer: j**(9\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 4*i**2. Calculate the lowest common multiple of 11 and h(3).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3, 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2. Let r(j) = -16690*j. Determine r(l(h)).\nAnswer: 33380*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 70.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - 36*o**2 - 2*o**2 - 45 + 37*o**2 as l*o + p*o**2 + y and give y.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 - 18*m + m**4 - 29*m**2 - 9*m**2 - 3*m**4 - 22*m**3 + 3*m**4.\nAnswer: -2*m*(m + 1)**2*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2933 = 43*j - 5*b + 3052, -2*j + 2 = -4*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5465100 divided by 91085\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 + 4*p**2 - 3*p - 16*p**2)*(-3 + 3 - 2*p) + (-2*p**2 - 2*p**2 + 3*p**2)*(32*p + 66*p - 16*p) as x*p**2 + z + f*p**3 + b*p and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2530*s + 147*s - 24093 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 469, -308, -1601, -3410, -5735, -8576, -11933?\n\"Answer: -258*k**2 - 3*k + 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 304?\nAnswer: 5168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.01384 times 67\nAnswer: 0.92728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-1 + -25)\/(23\/(-575))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9596616 is divided by 36910.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -5*u + 3*v + 62, -u = -v - 58. What is the highest common factor of 136 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**5\/3 + 76*r**4\/3 - 425*r**3 - 6800*r**2\/3 + 8000*r\/3 = 0.\nAnswer: -5, 0, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, y: 2, n: 6, b: 2}. Give prob of sequence nbyd.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39314493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + 18. What is r(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325)*6)**2 + 1 - 6*(3 + (sqrt(1053) - (-1 + sqrt(1053) - sqrt(1053)))).\nAnswer: -54*sqrt(13) + 46777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g - 45 = 5*b, -g + 36 = -4*b. Let s be (b\/15)\/((-3)\/(-15)). Put 1, 2, s in increasing order.\nAnswer: s, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3\/4*s + 3\/4*s**3 - 3\/4*s**4 + 3\/4*s**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/(-77)*(-12)\/84.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 35183.2 to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -1 - 1) + -5 + (1 - (50 - -9))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -0.05639268\nAnswer: -7.94360732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100010010010010100100 - -10?\nAnswer: -1011100010010010010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**4 - 19352*a**3 + 730788*a**2 - 5702400*a = 0 for a.\nAnswer: 0, 11, 27, 4800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -298675.1 rounded to the nearest one hundred?\nAnswer: -298700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 24635076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6}. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k - 80. Let u = -18 - k. Suppose 3*g = u*g + 4. Which is the closest to 1? (a) 0.5 (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13993403 * 1\nAnswer: -13993403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 5.98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2\/5 + 184*w\/5 + 597 = 0.\nAnswer: -15, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:03 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -6.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46998 or 47000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1140 and 1380?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g + 6*g - 7*g)*(5 + 31 + 21).\nAnswer: -513*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10 + 0 - 2*j - 17 + 5 + 2*j**2. Let b(u) = -u. Calculate 2*b(k) - r(k).\nAnswer: -2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -278.38 and -2632.\nAnswer: 732696.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 286320.802 to the nearest one hundred.\nAnswer: 286300","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 199 + 146 = 4*j, 475 = 5*j - 5*s. What is the highest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 6*w + 17. Let u be x(-6). What is the common denominator of (5 - u)\/((-99)\/24) and -61\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (245*v + 682*v - 386*v + 525*v + 281*v)*(2 - 5 + 1)*(-42*v**3 + 75*v**3 - 67*v**3) as a*v**3 + r + i*v + f*v**4 + c*v**2 and give f.\nAnswer: 91596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388414, 776811, 1165218, 1553641, 1942086, 2330559?\nAnswer: 2719066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p**2 + 352 - 352 as b + c*p + i*p**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.223 - -0.2433. Round v to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227491000 divided by -8.\nAnswer: 28436375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uew when three letters picked without replacement from uejuuuuujuujejuw.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 28 = -0*j. Let t be (-31 + 32)\/(-1 - 0). Let i be ((-9)\/(-21))\/(t*15\/(-10)). Which is the nearest to j? (a) i (b) 0.1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 - -3.6. Let o be ((-72)\/(-16) - 4)\/(2\/(-8)). Let a be 0 + (-1)\/(-3)*o + 0. What is the closest to a in 1, -3, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27628309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 496*u + 13396. Let d be o(-27). Solve -5*f + 5 = 0, -189 = -2*q + d*f - 199 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120.716ng in kilograms?\nAnswer: 0.000000002120716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 9*r + 3. Give j(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 1:14 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 9, 0 = -4*f - 3*w - 69 + 194. Let k = f + -21. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -8.2. Let d = -36 + 37. Put d, -5, k in decreasing order.\nAnswer: d, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16\/21 - 10\/7. What is the third biggest value in 0.5, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -2.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-32))\/((-9)\/(-12)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.7 and 8\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1.43028883.\nAnswer: -5.72115532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-25 + 5)\/4 - -5085) + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170 + -173. Let l = 13.05 + -13. Let s be (-10)\/(-2) - 272\/64. Which is the closest to s? (a) x (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1681123345.\nAnswer: 5, 11, 4493, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 1. Let h = 939 + -941. Let q(p) = -25*p - 2. What is h*u(k) + q(k)?\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -11413142 to the nearest one thousand.\nAnswer: -11413000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 26590?\nAnswer: 26591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(6\/176 + 19\/209).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 6*w + 3. Let x be i(6). Suppose x*o + 2 = -1. Let f be -3 + 3*o\/1. Which is smaller: f or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 4*m = -8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29631*c*q**6 + 1248*c*q**2 + 38*c wrt q?\nAnswer: 3555720*c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -441*b + 225*b + 220*b - 119 + 417 - 1194*b**5 wrt b.\nAnswer: -23880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2581196047 to the power of 1\/3, to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1221.39 to the nearest 10.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:21 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -11*n - 10. Is 0 + 1 - 13160\/(-7 - n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*u + 3*m, 682*u - 685*u - 3*m = -3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 + 3342131\/91 + 6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130551564 + -25?\nAnswer: -130551622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(59\/(-19) - (-6)\/57). Let p = -263 + 1318\/5. What is the nearest to -2\/7 in 1, 5, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7807976, -7807978, -7807980?\n\"Answer: -2*h - 7807974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j + 4*j**2 - j**2 + 4*j**2 - 3. Let m(v) = 270*v + 2427. Let h be m(-9). Is 12 a factor of t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4409 - 4384. Put 1, y, 3, -2 in decreasing order.\nAnswer: y, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06809 + 89.68809. Let l = 13.72 - a. Let h = 76 + l. Put 1\/4, 0.4, h in ascending order.\nAnswer: h, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f. Let m(b) be the second derivative of -b**7\/252 + 25*b**4\/12 + 19*b + 1. Let s(v) be the third derivative of m(v). Determine y(s(c)).\nAnswer: 70*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -893771 or -893772?\nAnswer: -893772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.064 equal to 0.056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2125072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdzu when four letters picked without replacement from {x: 2, u: 3, d: 4, z: 3, k: 1, e: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -358, -4, -5, 4, -116, 1 in increasing order.\nAnswer: -358, -116, -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 2, e: 7, u: 4, a: 4}. Give prob of sequence uhm.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.32 + 0.07. Let r = 1 + c. Let p = r + -1.85. What is p rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 721150\/63 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 4643?\nAnswer: 464a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + x - 1. Suppose -2*n - 3*g = 13, -2*n - 2*g = 2*n + 6. Let p be u(n). Suppose 10 = p*b - 17. Calculate the remainder when 16 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -75, -11, 95, 243, 433?\n\"Answer: 21*l**2 + l - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.691692 + 0.6883. What is f rounded to 4 decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z. Let d(y) = 19*y**2. Determine j(d(l)).\nAnswer: -95*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 131429978 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/6 (b) -1.5 (c) -2507\/4 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 6*m**2 + 6*m - 33. Let o be x(6). Let l = 0 - 0. Let q = 0 + l. Solve v + q*v - o = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4*w = -8, -2*s + 3*w + 11 = 2*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, f: 3, c: 7}. What is prob of sequence fr?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.6 - -6.6. Let w = f - 12. Let s = 0.4 + w. Sort 3, s, 0.2 in descending order.\nAnswer: 3, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.847 - -0.4939. What is q rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inp when three letters picked without replacement from {i: 3, p: 1, n: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1122, 1145, 1168, 1191?\n\"Answer: 23*q + 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5897334 milligrams?\nAnswer: 589733.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 23 = x, -5*z - 10 - 4 = -2*x. Let y(t) = -t - 1. Let p be y(x). Solve -5*u + 15 = r, 4 = p*u + 4*r - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 - -124 - ((1 - -1) + -3 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-84)\/16)\/3 - -1) + 13\/(-4). Let r be (-2)\/44*(5 - 1). Which is the biggest value? (a) r (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32488 and 4061?\nAnswer: 32488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) - sqrt(500)*1*5 - (2 + sqrt(500) + 0).\nAnswer: -50*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4\/5 + 16816*o**3\/5 - 2341374*o**2\/5 + 16668232*o - 16203320 = 0.\nAnswer: 1, 70, 8267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2610*s + 2600*s - 109 - 65, 2*s + q + 4 = 2*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/19 and -87\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/3)\/(-2))\/(117142\/4749).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1453*d**2 + 1752*d - 36. Let f(x) = 2906*x**2 + 3505*x - 78. Let o(z) = 6*f(z) - 13*h(z). What is the second derivative of o(j) wrt j?\nAnswer: -2906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(66)\/(sqrt(6)*-3 + sqrt(6)) + 2 + sqrt(11) + 3 + -2)**2 + -1.\nAnswer: 27\/4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -722 or -0.2?\nAnswer: -722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzxxzzbb. What is prob of picking 2 x and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3502, -7005, -10508, -14011, -17514, -21017?\nAnswer: -24520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 3. Let a = -13 - -11. Let d(o) = -o**3 + o**2 - 2. Let b be d(a). Calculate the remainder when 20 is divided by q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4262 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 436502880 and 32?\nAnswer: 436502880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 799291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007302214 rounded to six dps?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 6*n**2 - 4*n - 17. Let s be t(7). Calculate the highest common divisor of s and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccocoococooooccooo.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2*q)*(-q + q - 2*q) + 3*q**2 - q**2 - 4*q**2 + 2*q**2 - 3*q**2 + 2*q**2)*(-157 + 12 - 134).\nAnswer: -837*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3636152, 3636154, 3636156, 3636158?\n\"Answer: 2*h + 3636150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4707.\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 8*f**2 - 15*f + 10. Give r(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10580688 to the nearest integer?\nAnswer: 3253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t - 3*t - 7 + 18*t. Let z(q) = 14*q - 11. Suppose 3*w - 7*w + 20 = -4*x, w = -3. Calculate x*s(v) + 5*z(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5788*j + 2810 - 11457 - 49233 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-684)*-19*20\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2944379*z**2. Let v(s) = 2*s**2. What is t(v(y))?\nAnswer: 11777516*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + -3. Let s = -0.4 - j. Which is the second smallest value? (a) 4\/5 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143)\/((-137280)\/5376)*(-10)\/(-136)?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:03 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 4\/3 (c) -3 (d) -129.4 (e) 3 (f) 1 (g) 1824.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2919907406.\nAnswer: 2, 13, 149, 753719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1708\/(-70) + 4\/10. Let i be (-1 - -1)\/(g\/(-12)). Solve i = -0*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14912 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {l: 1, r: 3, n: 4, j: 1, q: 1, i: 5}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216736917?\nAnswer: 3, 72245639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r**(-13)*r)\/r)\/(r**6*r))\/(r**1\/(r**(2\/43)*r)))**(-13\/6) assuming r is positive.\nAnswer: r**(5018\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2232902314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/2 + 13131*c**2\/2 + c\/2 - 13131\/2 = 0. Calculate c.\nAnswer: -1, 1, 13131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsqnnnnnxsx. Give prob of picking 2 n.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.4 - 32. What is the fourth biggest value in q, 0, 3, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2956 and 23\/20.\nAnswer: 14780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 + 10*j**2 - 98*j - 77. Let n(x) = 8*x**3 + 22*x**2 - 196*x - 173. Give 9*k(o) - 4*n(o).\nAnswer: 4*o**3 + 2*o**2 - 98*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 220817032 divided by -5\nAnswer: -220817032\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -390 - -394 - 1*2*-10. Solve 0 = 9*a - 17*a + d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w)\/(w**(-3)\/w)*((w\/((w\/(w**(-1\/6)*w))\/w)*w)\/w)**(-3\/31) assuming w is positive.\nAnswer: w**(175\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 24 = -s, -s = 611*m - 608*m - 36. Solve -4*r - 98 = z - 116, 5*z - s = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, r: 4}. Give prob of sequence ra.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -27*i - 131. Let n be h(-5). Put -1, 3, 7, 0, n in descending order.\nAnswer: 7, n, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wut when three letters picked without replacement from {u: 3, y: 1, p: 1, t: 1, w: 2, l: 11}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 - -168. Put -0.5, p, -1\/3 in increasing order.\nAnswer: -0.5, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -20*q - 27 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10495.2 and -0.07.\nAnswer: 10495.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10093812311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*-7.834.\nAnswer: 242.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 20*t - 233 = 128 - 53, 257 = -3*o - 0*o - 2*t for o.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38115632.\nAnswer: 2, 17, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -48*r**2 + 16*r - 20. Let g(v) = 7*v**2 - 2*v + 3. Give -15*g(w) - 2*i(w).\nAnswer: -9*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/547015 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, e: 2, z: 1}. Give prob of sequence ze.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 28. Let z(x) = -1801*x**2. Calculate v(z(c)).\nAnswer: -1801*c**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4 - 26*l**3 + 92*l**2 - 24*l - 144 = 0 for l.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10 + 170*l - 524*l + l**2 + 171*l + 176*l. What is b(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 56. Let q be w(-14). Factor 1\/3*z + q - 1\/3*z**2.\nAnswer: -z*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*2)\/(2\/4). Suppose 0 = -7*k + 4*k + i. Suppose -2*q + 3*t + 18 = -2*t, 0 = -q - 2*t. Solve 4*x = -3*m - q, -2*m + m + k*x + 20 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021455295 rounded to five decimal places?\nAnswer: -0.02146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 391\/3 + -965\/6. Let f = 16680105 + -367110193\/22. Let t = 6725 + f. Find the common denominator of s and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 1 + 5*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 + -101820?\nAnswer: -101846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, m: 7, t: 1, o: 7, w: 1, u: 1}. Give prob of sequence obto.\nAnswer: 7\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n - 50*n = -280. Let h be -1 - (-1 - 101) - 0. Suppose 3*o - h = n. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22107 and 3568.\nAnswer: -18539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-14))\/(10\/420*-6). Sort -2, n, -5 in increasing order.\nAnswer: n, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k**(-4\/9)*k)\/k)**(-1\/5) assuming k is positive.\nAnswer: k**(-14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1413*v - 168000 = 13*v for v.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -548, -520, -474, -410, -328?\n\"Answer: 9*u**2 + u - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15167 - 7067. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + 1415?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 4. Let p be b(-3). Suppose 0*s = -p*s. Suppose s = k - 1 - 3. Solve k*g - 2*z - 2 = 0, -g - z + 8 = -0*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 9) in base 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66 + -3050?\nAnswer: -2762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8924688*s**4 + 2*s**2 + 52107629*s wrt s.\nAnswer: -107096256*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -347250 + -1?\nAnswer: -347251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1146 + 1147. Let t = -0.36 + 4.36. What is the nearest to n in 3, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1563003550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.6*1.64.\nAnswer: 46.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Suppose 140*h = 218 - 358. Which is the closest to k? (a) h (b) -31\/4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14034 + 12978 = -153*k + 2616 + 11781 for k.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 2*x + x + (-8*x + 273 - 273)*(0 + 0 - 1) to p + s*x and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 3*z + 14*f - 81, 4*z + 5*f - 107 = 0. Solve z = 5*p - 12*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 5*v - 3*v + (2 + 1 + 0)*(0*v + 2*v + 0*v))*(144*v**3 - 166*v**2 + 166*v**2).\nAnswer: 1440*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20099.\nAnswer: 101, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -440, -1484, -3, 0 in decreasing order.\nAnswer: 0, -3, -440, -1484","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 6.37 + -3\nAnswer: 3.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 21 = 5*f, 4*f - 5 + 2 = 3*o. Suppose 0*b - o*l + 7 = 4*b, -3*l = 2*b + 1. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttx when three letters picked without replacement from rrllrltlrtrrx.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 370.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (15 + -6 - (9 - 8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1614875?\nAnswer: 5, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*q - 5*q. Suppose -8*w + 12 + 4 = 0. What is the highest common factor of w and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9 - (8 + -11) - -238. Is c not equal to 235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeqe when four letters picked without replacement from exsjeqexjeexxxeejxx.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405564610?\nAnswer: 2, 5, 11, 3686951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (14 + (-17 - -12))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13448875*i**2 + 25355789*i?\nAnswer: -26897750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 7\/60*t**5 + 1\/3*t**3 + 0 + 0*t + 5\/12*t**4 - 1\/60*t**6 + 21*t**2. Find the second derivative of u(f) wrt f.\nAnswer: -12*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 28. Calculate the remainder when 34 is divided by s(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3450 + 17252\/5. Let n*i - 2\/5*i**3 + 0*i**2 + 0 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from {s: 2, y: 1, h: 4, q: 4, b: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -303, -2\/7, -233, -31\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-71)\/60 - (-168)\/280 and 85\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-15))\/(2 + (-95)\/45). Let q(a) = 2*a**2 - 2*a**3 - 6*a + 2*a + 3*a**3. Calculate q(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -240 + 264. What is the least common multiple of 11 and p?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2)*18\/4. Let g = p - 3. Suppose -2*n = n - 72. What is the greatest common factor of n and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzkzkkjkk. Give prob of sequence kjz.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (2\/2)\/((-19)\/95). Which is the smallest value? (a) 0 (b) 5 (c) -5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 5*u**2 - 16. Give w(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/5 - 1\/(-1)*-1. Let r(i) = 2*i**2 + 2*i - 2. Suppose 15 = -3*z + 6*z. Let u(k) = 10*k - 5*k - k**2 + 5*k**2 - z. Determine c*u(t) - 5*r(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273 by 11.\nAnswer: -273\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-189)\/12))\/(5\/15)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -951, -1986, -3021?\nAnswer: -4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22188977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 890 divide 39359275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -542 - -549. Which is the nearest to 0? (a) -2\/9 (b) -1 (c) r (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 g when three letters picked without replacement from {u: 1, i: 2, g: 3, l: 2, j: 1, m: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148\/5 + -1021\/35. Let f(g) = g**2 - 10*g + 1. Let r = -33 + 43. Let u be f(r). Which is the nearest to u? (a) 2\/3 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + 5 + sqrt(3)*1.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 13*b - 65. Let p be x(5). Let q(f) = -f**3 - f**2 + 8. Calculate q(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73\/((-657)\/(-162))*((-84)\/27)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2 and 11\/151?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n + 60 = 0. Let h be 107 - -2*(-1)\/(-2). Calculate the greatest common divisor of n and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*x = 18, 50*x - 49*x + 8 = 4*d. Is 2\/391 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + -5)**2 + (sqrt(51)\/(sqrt(12)\/sqrt(4)) - sqrt(17)).\nAnswer: -10*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-58)\/(-20) + (-12)\/30)*2. Solve k*v + 12 = 4*i, 4*i + 0*v = v - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15745449 by -5248483.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 5\/347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 913966\/9 - 102418489\/1008. Let h = z + 416\/7. Find the common denominator of 53\/12 and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/168*-12*-1238?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(10 - -19)\/(-7 + (-5 - -14))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6008)\/5257)\/(176\/(-28))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-4 - -1))\/(-1). Let w be (1 + x - (8 + -13)) + -2. What is the second biggest value in 1\/2, -5\/3, w, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-4) - (71 + -75). Which is the nearest to 2\/3? (a) 0 (b) -0.7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5219000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 + 9*o + 5. Let g be c(-5). Let z = g - -1157\/7. Let j = -8 - -13. What is the second smallest value in 2, j, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 - 2*a. Let m(b) = 5*b**2 + 3*b - 1. Let v(d) = -5*m(d) - 6*p(d). Let t(h) = 2*h**2 - 21*h - 70. Let z be t(13). Determine v(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 26. Suppose -5*l - 9 = -3*i, 4*l + 12 = 32*i - 29*i. Suppose -i = -4*q + o. Solve -h = 4*h + q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -429 (b) -2\/9 (c) 8549\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**3 + 23*v**3 - 26*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 7*g + 40. Let l(k) = -k**3 - 9*k**2 - 7*k. Calculate l(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -560, -1121, -1682?\n\"Answer: -561*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u**5 + 382560*u**4 + 509975*u**3 - 212560*u**2 - 510020*u - 170000 = 0 for u.\nAnswer: -8500, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5328\/83 <= 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 7. Let s be u(-5). Suppose 2*o = o + s. Suppose -66*d + 90 = -65*d. What is the greatest common divisor of d and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*t - 8, -5*w + 3*t + 0*t + 40 = 0. Suppose 0 = -94*f + 91*f. Suppose f = -12*k + 105 + 267. What is the lowest common multiple of k and w?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 1, -30, 307, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17688?\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -228*z - 2735. Let f be b(-12). Let n(j) = 3*j**2 - 4*j. Let h(s) = 2*s - 6*s + 3*s. Give f*n(d) - 4*h(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 17. Let u be r(5). Let x = 9 - u. Suppose 0 = 4*f - 3*c - 7, -f + x*c - 22 = -5*f. Sort f, -5, -3 in ascending order.\nAnswer: -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 7*l**4 - 3*l**4 + (-3*l**4 + 3*l**4 + 6*l**4)*(-3 + 21 - 1) + 0*l**3 - 8*l**4 + 0*l**3.\nAnswer: 96*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/6 - 2*z**3 - 112*z**2 - 2755*z. What is s in n(s) = 0?\nAnswer: -8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**2 + 20*s + 3. Let a be j(4). Let p = 4 - 7. Let u be (-1)\/(-2) - p\/(-2). Sort -2, a, u in increasing order.\nAnswer: -2, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 4*t - 8, 3*j + t = -2*j + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57.2 - -6.8. Let q = -60.910001 - 3.090139. Let n = v + q. What is n rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810014652 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13340341 (base 5) to base 16.\nAnswer: 2170b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(209) - (sqrt(209)*1 + sqrt(209))*-6)\/(sqrt(396)*2 + sqrt(11) + sqrt(891)*-2).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -2. Let w(f) = -8 - u*f - f + 0 + f. Let x(l) = l + 1. Calculate -w(d) - 10*x(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 49 = 2*q, 0 = 2*q + 11202*x - 11208*x + 6 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.263 - 0.337. What is the second biggest value in 0.1, 3, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 44 = -4. What is the hundreds digit of (-1790)\/a*40\/(-50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (30 + -79)) + -97.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -510 + 1352. Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -4*j - 8, 5*j - 6 = 8*j + 5*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*t - 546 = 63*t. Let x be 4 + t\/(-14) - 7\/(-2). Sort x, -8, -1 in ascending order.\nAnswer: -8, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380 divided by -6?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiz when three letters picked without replacement from izzzzizzzzzzzzzzzz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1230 + 1238 + (1 + -2 + -32 - -2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = 0. Let d be (h\/(-1))\/(9\/(-3)). Is d greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -45*t**4\/4 - 37313*t**3\/4 + 90509*t**2\/2 + 8340*t = 0.\nAnswer: -834, -8\/45, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57822014.\nAnswer: 2, 43, 672349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 16*g**2 + 7*g**2 - 16*g**2.\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*a**2*n**3 - 29*a**2*n**2 + 13*a**2*n + 2*a*n**3 + 11781*n**3 - 99*n wrt n?\nAnswer: -288*a**2 + 12*a + 70686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 899640 divided by -420\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61700 and 440.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bewmkbkbklewew. What is prob of sequence mbk?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:32 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -17483.89 to the nearest ten.\nAnswer: -17480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*x**3 - 400*x**3 - 5 + 997*x**3 + 5.\nAnswer: 709*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 7*f**2 + 2*f - 2. Calculate j(8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bycsyybsyc. Give prob of sequence bsy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 10, 2, -4, 4.\nAnswer: -4, 2, 4, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**2. Let d(i) = -50*i - 150. Let k be d(-3). Let l(a) be the second derivative of 12*a + 0*a**2 + 0 + k*a**3 + 1\/6*a**4. Calculate l(j(r)).\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 82\/(-140) - (-10)\/35. Let x = -7567 - -7567.2. What is the biggest value in q, x, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132 - -137. Suppose n*b - 4 = 36. Solve 3*s - s - b = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4942 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2, -4, 0 in descending order.\nAnswer: 0, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 135*s**2 + 694*s - 840.\nAnswer: -(s - 3)*(s - 2)*(s + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyyzhhszhhyhhzmhh. Give prob of sequence hh.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/(-126) - 4*3\/18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0265? (a) -3 (b) -3\/7 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -27*b - 77. Let y(h) = -26*h - 74. Let x(j) = 4*k(j) - 5*y(j). What is the derivative of x(m) wrt m?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74992 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5842?\nAnswer: 2, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 333*y**2 + 2*y + 338*y**2 - y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1427\/7185 - -2\/1437. Which is the closest to 5? (a) w (b) 0.4 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/28 + 12\/7. Suppose y = 1 + b. Suppose y*u = 9*u - 96. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37710900 to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.285 and -15809.\nAnswer: -15808.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -13, -4, 3, 8, 11, 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5230.266 + -5241. Let t = h - 0.066. Round t to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 853*f**2 - 1717*f**2 + f**4 - 2*f**3 + 868*f**2 - f - 47 as w + j*f + b*f**4 + v*f**2 + z*f**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkss when four letters picked without replacement from {k: 3, g: 2, b: 2, s: 4, u: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + (94 - 79) + (96 - 3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-8\/5)*g)\/((g\/(g*g*g**8*g)*g)\/g*g))\/(g**(-1\/4))**(-1\/37))**12 assuming g is positive.\nAnswer: g**(18633\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -6\/7, -1, 7, -19, -13843?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3999\/140 - 367\/14. Calculate the common denominator of g and -13\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 621 (base 16) to base 9\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-6))\/((-2)\/6*(-22)\/(-11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 2d927?\nAnswer: -2d92f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18076191 to the power of 1\/2, to the nearest integer?\nAnswer: 4252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -13655930 to the nearest 10000.\nAnswer: -13660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8067.\nAnswer: 3, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4945749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*s, 4*i - 3*s - 48 + 7 = 0. Solve -2*f = 4*r - 10, 3*r - 28 + i = -4*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-6))\/((-22)\/33). Solve -2*z = -5*z, 0 = m*o - 5*z - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -120, 0.2, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1581548 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-4)*(-54 - -6). What is the highest common divisor of l and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**3 + 166*k**3 + 305*k**3.\nAnswer: 453*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3514)\/1004)\/(((-6)\/(-4))\/((-3)\/4))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18 - 39)\/(-4 - -3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f = 0. Suppose 4*v - 3*k - 35 = f, -4*v - 5*k = 3 + 2. Solve v*g - 5 = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 48, 97, 148, 201, 256, 313?\n\"Answer: m**2 + 46*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 97, 527, 1701, 3991, 7769, 13407, 21277?\n\"Answer: 62*k**3 - 4*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = -3*x - 3*v, 0 = 5*x - 6*v + v - 1010. Calculate the highest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m - 8. Let d(n) = -7*n - 8. Determine 5*d(h) - 6*l(h).\nAnswer: -5*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 5. Let c(j) = -2*j + 7. Determine 5*c(f) + 8*o(f).\nAnswer: -2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*x - 752*x = -760 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 58 + 12. Let u be ((-3)\/(-6))\/(p\/(-4)). Which is the closest to -0.02? (a) u (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 1, b: 2, v: 1}. What is prob of sequence bp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5110 + -5103. Is h greater than or equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 372 = 6*q. Let d be 6\/15 - q\/(-5). Suppose -k = -5*y + d, -5*y + 3 = 5*k - 2*k. Calculate the remainder when 4 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 48*x**2 - 3*x + 3. Let u be i(-4). Let k = u + -363. Suppose 12*b = 8*b + k. List the prime factors of b.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l. Let q(w) = -4*w. Let y = 3 + 1. Suppose 0 = -3*p - 9, -y*i + 1 = -2*p - 1. Let o(r) = i*j(r) + q(r). Let m(h) = 2*h**2. Calculate m(o(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*y**2 - 8*y**2 - 4*y**2 + 0*y**2 + 0*y**2 - 2*y**2 + y**2 - 3*y + 3*y + (-3*y + 3*y - y)*(1 - 1 - y) + 2*y - 2*y + y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-7)\/(98\/(-30)). Let p = 28 - 19. Let d = -9 + p. Which is greater: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (1 + sqrt(1088))**2*-2)*-3 - (2 + (2 + (-2*sqrt(1088) - sqrt(1088)))**2 + (sqrt(1088) - 6*(sqrt(1088) + (sqrt(1088)*-1)**2))))*2.\nAnswer: 464*sqrt(17) + 6546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.163*-2762\nAnswer: -450.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6526*l*z**3 - l*z + 263*l + 3*z**2 + 4329 wrt z.\nAnswer: -39156*l*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify c**33*c**(-7\/2)*c assuming c is positive.\nAnswer: c**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u + 140*u = -111*u + 1095. Solve 0*j + 3*b + 34 = -u*j, 5*b + 34 = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4580 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2 - 6. Solve -4*y = 2*o - 14, y - 2 = -s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50 + 7?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/26, -1720, -0.3?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/49 - ((-85)\/84)\/(-5).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 0 - (-59 + 105) - 21?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*i = -0*i + 15, -i - 5 = -2*c. Suppose c*d = 2*d. Suppose -4*k + 3*a + 49 = d, 5*k + 2*a = 4*k + 4. Solve w = b + 3*w - 12, 2*w - k = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 = 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(11\/10) - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 2, p: 1}. What is prob of sequence ddc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4516*t**2 - 1815433*t + 407. Give u(402).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/39 and 85\/66.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1 - 75*f + 82*f + (0*f + f - 3*f)*(0 + 1 + 0) to r*f + q and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 42*p**3 - 6*p**2 + 3*p + 119. Let l(o) = -53*o**3 + 8*o**2 - 4*o - 119. Calculate -4*f(v) - 3*l(v).\nAnswer: -9*v**3 - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -480, -980, -1480, -1980?\nAnswer: -2480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 + -9 + 11 + -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 221880, 443760, 665640, 887520, 1109400?\n\"Answer: 221880*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*h = -t + 1, -2*t - 4*h - 2 = 0. Suppose -2*k = -q - 10, q - t*k + 14 = -0*k. Which is the nearest to -0.1? (a) q (b) 1\/4 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 96*g**2. Let w(l) = 7470*l. Give w(p(n)).\nAnswer: 717120*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/9)*t)**(-10))**(-1\/9)*(t**(-1\/4))**(-9)\/(t**(5\/4)\/(t\/(((t*t*t\/(t\/(t\/t**(-1\/2))))\/t)\/t))) assuming t is positive.\nAnswer: t**(401\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.87913815 rounded to four decimal places?\nAnswer: -0.8791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((38 - 16) + -22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1126697 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5539956 by 5539956.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 211 = -4*l, 3*l - 217 = -4*i + 69. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 163.8 - 164. Which is the smallest value? (a) 0.2 (b) -3\/5 (c) i (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 - 45*d**2 + 49*d + 21. Let t(r) = -r**3 - 15*r**2 + 16*r + 7. Let m(f) = -2*p(f) + 7*t(f). Let h = 300 - 286. What is m(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 487682 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1816 + -14597\/8. Let m be 2*20\/8 - -15. Calculate the common denominator of h and 245\/m*((0 - -1) + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4168 and 9378.\nAnswer: 37512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 8) in base 5?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 12 = -7*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 6*v + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 551281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 7. Let p(k) = 3*k - 20. Let q(x) = 8*d(x) + 3*p(x). Let m(l) = 194*l + 6804. Let c be m(-35). Let f be q(c). Solve -b = b + f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1186*o**2*w**2 + 211*o*w + w**2 wrt o.\nAnswer: -2372*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -107558.5201 rounded to the nearest 10?\nAnswer: -107560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**4\/12 - r**3\/2 - r**2. Let d = -9 - -6. What is the units digit of l(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.136 and 149.4.\nAnswer: 20.3184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 284\/16 - (67 + -18 + -32)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8284506, 16569006, 24853506, 33138006, 41422506?\nAnswer: 49707006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17722774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 215748 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 7*c. Let g be n(-7). Suppose -2*k + g*k = 8. Let o(l) = -3*l - 5. What is o(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 484206588.41.\nAnswer: 484206587.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/20330 and -9\/156500.\nAnswer: 318164500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102085324*-1.\nAnswer: 102085324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4214)\/(-1505) + (-3 - 48\/(-15)))*(-28)\/6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5*m = 36, -2*g + 19204 - 18754 = 64*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1194*n**2 + 9*n + 11. Suppose -4*f - 4*k - 16 = 0, 3*f - 3*k - 13 = 7*f. What is the tens digit of v(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/920306 or -1?\nAnswer: 1\/920306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 128950\nAnswer: -6\/64475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajaajaajjajj. What is prob of picking 4 j?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(208)*5*-1 + ((sqrt(208) + 0 - sqrt(208)) + 5 - (sqrt(208) - (2 + sqrt(208) + -1 + sqrt(208) + sqrt(208)))) + -5)**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (12\/(-16))\/((-3)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1137 - -206. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.8 + 9. Let l(d) = -2*d - 3. Suppose 2*q + 3*y + 9 = -14, 5*y = -25. Let n be l(q). What is the second biggest value in -1, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1 = 35. Calculate the remainder when 93 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvnwn. What is prob of picking 1 v and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 16, 228?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -5 - (-39 + 7 + 29).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*g = 101 + 76 + 95. Suppose -4*u = -6*u - 12. Let b(o) = o + 4. Let a(k) be the third derivative of -k**3\/6 - 3*k**2. What is g*b(t) + u*a(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.285 + -0.085. Let p = -14.3 + b. What is the fourth smallest value in -0.8, p, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 9, a: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 1308 = -2*h. Let n = h - -530. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5314*r**3 - 1526*r**2?\nAnswer: -31884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022357 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -0.3, -2\/3, -0.57, 3\/38 in increasing order.\nAnswer: -2\/3, -0.57, -0.3, 3\/38, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 17 - 5 - 2*w - 8. What is r(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v - 1. Let t(l) = 23*l. Give t(o(n)).\nAnswer: 276*n - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 29*d**2 + 36*d + 58. Let l(x) = x + 2*x + 7*x**2 - 4*x + 0*x**2. Let j be l(-2). What are the prime factors of n(j)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 r, and 1 w when three letters picked without replacement from {y: 1, w: 3, g: 2, t: 2, k: 1, r: 8}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8957, -8932, -8877, -8780, -8629?\nAnswer: -8412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92 + 307 + 789 + 3*u**2 - 57 - 2*u**2 to the form r + d*u + g*u**2 and give r.\nAnswer: 947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3554*d + 14376. Determine a(-4).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 3391030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*1*sqrt(228)*1)\/((sqrt(48)*-1 - sqrt(12))*-5*-3).\nAnswer: 4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 752 (base 10) to base 4.\nAnswer: 23300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6*316*(-3)\/(-36) and 5.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-24))\/(2\/68). Let t = -14 + p. Suppose -t*r - 4*y + 123 = 0, 6*r - 160 = 2*r - 4*y. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - h. Let f be 5\/3 - (-26)\/(-39). Let t(l) = 8*l**2 - 6*l + 2. Give f*t(b) - 6*m(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2029469 divided by -15?\nAnswer: -2029469\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12494\/5 - 2499. What is the closest to -2 in t, 3, 1, 8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23518066.\nAnswer: 2, 11, 13, 82231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/7)*f**4)\/(f\/f**(-6)*(f**(-2\/11)*f)\/f) assuming f is positive.\nAnswer: f**(-206\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 + 125 + 1 + -1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from phpeeeppeceece.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177 (base 9) in base 2?\nAnswer: 1101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -17*c**7\/42 - 9*c**5\/10 + c**4\/12 + 2959*c**3\/3 + 81*c + 3. What is the second derivative of q(b) wrt b?\nAnswer: -340*b**3 - 108*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-124)\/(-5) + 6\/30. Let a be ((-2)\/(-3))\/((-4)\/(-66)). Let l = p - a. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 2.52.\nAnswer: -15.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770112814 + 770112814 - 10*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 66*y**3 - 15009*y**2 + 14940*y.\nAnswer: 3*y*(y - 60)*(y - 1)*(y + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1170 - 1?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/7)*k**(-1)*(k*k*k*k**(-8)*k)\/(k*k**8)*(((((k**(2\/15)*k)\/k)\/k)\/k*k)\/(k\/k**(-4\/3)))**(34\/5) assuming k is positive.\nAnswer: k**(-6183\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/132)\/(10\/(-45)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 4*u = 8. Suppose 15 = u*z + 5*b, -3*z = -z - 2*b + 6. Suppose -v - 4*v - 2*k + 86 = z, -4*v = 4*k - 76. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, d: 1, r: 4, y: 2, z: 2}. What is prob of picking 1 r and 1 y?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 7*y**2 + y - 3. Let w(p) = p**3 + p**2 + 7. Let h be w(0). Let o be u(h). Let b = o + -4. What is the nearest to b in 2, -2\/19, 2\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*r + 11444 = 1369*r - 8778 + 72680 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/4, -10498, 1, 335 in decreasing order.\nAnswer: 335, 5, 1, -1\/4, -10498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799878286?\nAnswer: 2, 107, 3737749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1572 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 28. Let m be (k + 574\/(-70))*10\/14. Factor 2*p**2 + 3\/7*p**4 - 8\/7 - m*p + 13\/7*p**3.\nAnswer: (p + 1)*(p + 2)**2*(3*p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 100*u - 1046. Give b(18).\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 1:47 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1042\/5 - -208. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1792 and 2324?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -328 + 1622\/5. Let p(k) = 15*k**2 + 2*k. Let r be p(2). Let o be (2\/4)\/((-8)\/r). Is o bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/7 + 333222*q**2\/7 - 1982825610*q + 13879446050\/7 = 0 for q.\nAnswer: 1, 83305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l + 252 = 63 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18c31 (base 14) to base 5\nAnswer: -4002023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4*a = -10*x - 14, -21*x = -23*x + 5*a + 9 + 14 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from ckhckkkkknhk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8687*k - 10053. Calculate j(-1).\nAnswer: -1366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*u + 86639997, -243*u + 238*u + 5*d = -108300005. Round u to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21457 + 21772. What is the highest common divisor of 36 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1, 1\/2, 0.42, -5 in ascending order.\nAnswer: -5, -1, 0.42, 1\/2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -32*k**2 - 2*k - 61. Let u(q) = 129*q**2 + 9*q + 244. Let n(o) = -4*u(o) - 18*v(o). Differentiate n(f) wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 13*h**2 + 13*h - 8. Let o be n(-14). Suppose 0 = r - o + 2. Factor 27*j - 4 - 4*j**2 - 2 + 4*j**2 + 21*j**r - 15*j**2 - 27*j**3.\nAnswer: 3*(j - 1)**2*(j + 1)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-25)\/(h\/(h*h**(-21))*h)*h**(-2\/71)\/(h\/(h**(1\/14)*h*h)) assuming h is positive.\nAnswer: h**(-45681\/994)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 9 = 6. Suppose 2*x - o = -3*x. Let h be -1 - ((1 - 2) + 0). Solve -x*p + 4*p = h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -289 + 408. Is v a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-40 + 44)) + 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 168.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4 + 148*j**3 + 406*j**2 - 1420*j = 0?\nAnswer: -71, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52630116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j + 4 = -269 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 22 = -14*m - 3*v, m = 5*v + 41 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5488, 8\/61, 2\/7?\nAnswer: 8\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 8. Suppose -2*p = -p - b. Let t = -9 + p. Is t at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6472, 6474, 6476, 6478, 6480?\nAnswer: 6482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = v - 2*t, -t + 4*t + 6 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129563940?\nAnswer: 2, 3, 5, 11, 109, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q + 2 + 5 + 0 - 5 to w*q + m and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let u(y) = 60*y + h*y**2 - 60*y. Let a(o) = 3*o**2. Determine a(u(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -22, -122581 in descending order.\nAnswer: -4, -22, -122581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27495 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 0.2 (c) 0.3 (d) -2\/1065 (e) 3 (f) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1927 and 799.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1426)\/5704*(-16)\/62?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480, 866, 1346, 1968, 2780, 3830, 5166, 6836?\nAnswer: 8888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 239271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -r + 2*i, -7*i = r - 2*i + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38533 + -38535. Let v = -0.7 + -2.3. Which is the closest to l? (a) -0.4 (b) v (c) 1 (d) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-133) - ((-20)\/(-1540))\/((-2)\/16)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88159 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: Suppose -6*b + 60 = -b. Let g = b - 9. Let v(m) = 2*m - 4. Determine v(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1117.06613 - 0.17613. Let c = 1124 - r. What is c rounded to 1 decimal place?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 18 + 17 = 0. Suppose 3 = 3*p + 3*i, 2*i - 1 + o = 0. Differentiate 22*l**2 - 22*l**2 - 11*l**p + 16 wrt l.\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2338 and -2586 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13\/147 - -21544\/735. Let q(w) be the first derivative of -9 + a*w + 21\/5*w**2 + 1\/5*w**3. Solve q(c) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2211 + 7*c + 33*c**3 + 3*c**2 - 4*c + 0*c**2 - 2210 + 0*c**2. Determine u(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544\/5*s - 40*s**3 - 813\/5*s**2 + 36\/5 + 33\/5*s**4 = 0. Calculate s.\nAnswer: -2, -1, 2\/33, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*a**3*m*y - 2*a**3*m - 2*a**3*y**3 - 8*a**2*m*y**3 + 5*a**2*m*y**2 + a**2*y + a*m*y**3 wrt a.\nAnswer: -54*m*y - 12*m - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1092*l**4 - 149?\nAnswer: -4368*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (3474\/(-5))\/((-240)\/600) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30442721?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 43.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2 = -5. Let d be o - 0 - (-2 - 0). What is the greatest common divisor of d and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9484 is divided by 1567?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200823?\nAnswer: 3, 7, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311 - -22220?\nAnswer: 21303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 40.7. Let y = -6 - s. Let j = 0.7 - y. Which is the third smallest value? (a) j (b) 4 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0200772 times 0.4?\nAnswer: 0.00803088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, v: 2, w: 13, o: 3}. Give prob of picking 1 o and 3 w.\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27 + -1.17. Let p = 0.8999983 + i. Round p to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -82, -122, -146, -148, -122, -62?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3379825598 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35588 - 35574. Solve p = 4, z + 121*p - y = 117*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 17 - 33 = 0. What is the third derivative of 17*w**2 - 5*w**4 + 6*w**3 - 3*w**4 - 4*w**3 - t*w**3 wrt w?\nAnswer: -192*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:10 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.6, -2\/9, 0, 0.3 in decreasing order.\nAnswer: 0.3, 0, -2\/9, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -12. Suppose 4*v + x*j + 6 = 0, v - 3*j + 12 = -v. Which is the third smallest value? (a) v (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59829\/584 - -1155\/73. Is j at least as big as -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 - (82 - 271 - -115)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyk when three letters picked without replacement from yvvzywzkvvyzvzvezyky.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2016*a*n**2 - a*n + 401 wrt n?\nAnswer: -4032*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 229*j - 5. Let u(z) = 644*z - 14. Let y(g) = -17*l(g) + 6*u(g). Let d(v) = -28*v + 2. Calculate -2*d(x) + 3*y(x).\nAnswer: -31*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-56)\/98 + (46181\/(-2))\/((-14)\/8).\nAnswer: 2, 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Suppose c = -0*y + 5*y. Suppose d + d - 2 = y. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -51.9. Let g = z + 4. Let v = -0.09999983 + g. Round v to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42788169 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(304) - (sqrt(304) + sqrt(304) + 2*sqrt(304))) + (-4 + sqrt(19)*2 + sqrt(19))*4)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 27 = -2*r + 4*m, -r + 9 = 4*m. Suppose r*h = 219 - 193. Solve 3*p + h*p - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 13 = -2*b - 3*p, -5*b = -3*p - 47. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 v, and 1 n when four letters picked without replacement from eeeeneevnvee.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o - 5, -r - 2*o = 0. Let t be -1*6 - -4 - 2*r. Solve -t*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*p - 48*p - 38*p**2 - 50*p as m*p + k + v*p**2 and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396949941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*k**2 - 1\/3*k + 56\/3.\nAnswer: -(k - 7)*(k + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7631057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172300*q - 420 = -172321*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183282388*j**4 + 612*j**2 - 259*j - 3?\nAnswer: -4398777312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238292362 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013259 to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101110 divided by -10.\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2303 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/14 and -107\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**7\/1050 + q**6\/120 - 253*q**5\/300 - 2057*q**4\/120 + 2*q**2 - 9*q + 35. Let g(n) = 0. What is n?\nAnswer: -11, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -419 divided by -54?\nAnswer: 419\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 665852353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 756, -2044, -6712, -13248?\n\"Answer: -934*s**2 + 2*s + 1688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10714 + -8229. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28989?\nAnswer: 3, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 76. Let p be f(24). Solve p*o - 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2.5. Let t = 6.6 + -6.9. Let j = b + t. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m = 4. Let n = -1 - m. Suppose -5*p + 4 = n*b, -3*b = -p + 3 + 5. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -50. Suppose -2*x = 3*l + 3*x - 79, -5*x + 25 = 0. Let n = g - l. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 5) + -11 + -48 + (-1 - -13).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -67 + (-11 - 1 - ((-4 - 7) + (101 - 103)))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 2*o**2 + o - 4. Let d be a(-3). Let z be 2\/4*0*1. Put d, z, 5 in increasing order.\nAnswer: z, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, y: 1, n: 1, p: 2, s: 12}. Give prob of picking 1 u, 1 p, 1 y, and 1 s.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -0.3 (c) -4 (d) -320 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62\/13 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8452728 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -15. Suppose -j + 4 = 4*y, -y - m*j - 2 = -2*j. Suppose -2*n + 4*n = p, 3*n - p = y. Solve -2*t = 4*b + 14, n + 9 = -t - 4*b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 25 = -2*r + 51, -3*r + 116 = -2*h. Suppose -2*j - j = -r. Suppose -7*u + 3*u = -j. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwvvvxwvwyvxvn. Give prob of sequence wx.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (301 - 371 - 481)*(0*n**4 + 3*n**4 - n**4).\nAnswer: -1102*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115145 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8822, 17613, 26374, 35105, 43806, 52477, 61118?\n\"Answer: -15*j**2 + 8836*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 52 - 10. Let x = -26 + v. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 143*q + 2020. Let x be g(-13). Calculate the greatest common divisor of x and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v - 2. Let f be (-783)\/(-2349) + -43*1\/3. Let t(n) = -10*n - 5. What is f*b(r) + 6*t(r)?\nAnswer: 10*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*k - w, -389*k = -384*k - 2*w + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7693\/90 - 700\/9. Find the common denominator of -61\/10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 r when three letters picked without replacement from rkaeaarreaaabheaba.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4628 or 4626?\nAnswer: 4628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let s(y) = 12*y. Let l = 5 + -8. Suppose 6*g - 1 - 221 = -5*b, -5*g - 3*b + 178 = 0. Determine g*o(v) + l*s(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 13. Let g be j(-4). Find the second derivative of -z**3 - 1 - 9*z**g + 7 + 19 + 88*z - 86*z wrt z.\nAnswer: -180*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(sqrt(117)*-1 - sqrt(117))*3)\/((sqrt(9) - (sqrt(9) - sqrt(63)\/sqrt(175))) + sqrt(72)\/sqrt(32)).\nAnswer: 480*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -176, -267, -358, -449, -540?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3479 = d, -876 = -4*j + 5*j - d. Let p = j - -1482. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuya when four letters picked without replacement from {a: 3, u: 1, z: 2, h: 3, y: 1, f: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4790939607.\nAnswer: 3, 1747, 304709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 61*h**2 + 33*h + 34. Let t = 709 - 738. What are the prime factors of q(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7231*c**2*g**3 + 609*c**2 - 433*c*g**3 + 2*g**2 + 714*g wrt g?\nAnswer: -43386*c**2 - 2598*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Suppose 0 = -2*t - q + 7, -2*t - 4 = -2*q - 2. Let s(i) be the first derivative of 0*i - 1 + 0*i**t + 1\/3*i**3. Give j(s(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 3. Suppose 0 = 6*r - 26 - 34. Let u = r + x. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.363 + -69951.\nAnswer: -69950.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4550074 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2172 - 329 = -y. Suppose 9*g = -530 + y. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8144442689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726 = -370*n + 403*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4180 + 4183. Let z(a) = -3*a + 0*a + 5*a**2 - a**2. Let s(o) = o**2 - o. Determine u*s(v) - z(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -732 + 731.999863. What is x rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/21 - (-93)\/21. Let f be 1\/2*(-21 + 15). Let y(z) = 4*z**2 - 9*z - 1. Let t(a) = 3*a**2 - 8*a. Let c(l) = f*t(l) + 2*y(l). What is c(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 264 = -4*h - o, -4*h + 5*o - 296 = 0. What are the prime factors of (h\/(-6) - 3)*4?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 43, 61, -8 in descending order.\nAnswer: 61, 43, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12743?\nAnswer: 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7213, 27974, 62295, 110182, 171641, 246678, 335299?\n\"Answer: u**3 + 6774*u**2 + 432*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -8. Let w be (5\/(-3) - y)*-12. Suppose -3*u - 27 = -w*u + 3*m, 9 = 2*u - 3*m. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 344, -2, -78 in descending order.\nAnswer: 344, -1, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51213343 to the power of 1\/2, to the nearest integer?\nAnswer: 7156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 = 5*t. Let h(l) = 3*l**2 + 2*l - 2. Let n(c) be the third derivative of -7*c**5\/60 - 5*c**4\/24 + 2*c**3\/3 - 5*c**2. What is t*n(b) + 9*h(b)?\nAnswer: -b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neq when three letters picked without replacement from {n: 9, a: 2, e: 1, q: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b**2*c**2*v - 4*b**2*c + b**2*v + 10*b**2 + 26*b*c**2 + 5*b*v - c**2 wrt c.\nAnswer: -18*b**2*v + 52*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h - h**5 + 2*h**5 - 2*h**5 + h**5 + (-2*h**4 - 6*h**4 + h**4)*(2*h - 3*h + 0*h) - 2*h**5 + 0*h**5 + 0*h**5.\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 123.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/171 + 718\/38. Suppose 0 = w*t - 55 - 2. Let v(d) = -6*d**3 - 3*d**2 + 4*d + 5. Let l(r) = 7*r**3 + 4*r**2 - 5*r - 6. Give t*l(m) + 4*v(m).\nAnswer: -3*m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 4*f**3 - 2*f**2 - 7*f**2.\nAnswer: 2*f**3 - 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 4*b**5 + 2 - 5 + (-3 + 3 - 2*b)*(0*b**4 + b**4 - 2*b**4) + 3*b**2 - 3*b**2 + 2*b**5 + 2*b**5 + 0*b**5 - 3*b**5.\nAnswer: 7*b**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 0*f - 211. Let c = 221 - f. Solve c = i + i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. What is the smallest common multiple of (-1302)\/(-84) + (1 - 0)*5\/10 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 4:26 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 + 50*q**3 + 960*q**2 - 10080*q.\nAnswer: -5*q*(q - 12)**2*(q + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -47910ab - -3?\nAnswer: -47910a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (540\/1530)\/(192\/(-41344)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-1 - -5) + (-73 - -67) + -17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -469*v - 7492. Give g(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001000011 + -110?\nAnswer: 1010000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 56. Put a, -2, -1, -3 in ascending order.\nAnswer: a, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 3014?\nAnswer: 6\/1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 370120*d**2 + 66411685*d.\nAnswer: -5*d*(d - 74203)*(d + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 5*t - t)*(18*t + 2*t + 6*t) - 346*t + 346*t + 34*t**2 + (-4 + 4 - 2*t**2)*(1 - 5 + 3) as v*t**2 + l + r*t and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5 + 2316*n**4 - 2325*n**3 - 18524*n**2 + 27804*n = 0. What is n?\nAnswer: -2317, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*x - 350. What is the first derivative of -x*t**3 + 14*t**3 + 25 + 15*t**3 + 13*t**3 wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-3 - sqrt(891)*-2) + 1.\nAnswer: 1 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*i + 13 - 2*i + 18*i - 1 - 3.\nAnswer: -81*i + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1323 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2163 divided by -76\nAnswer: -2163\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ood when three letters picked without replacement from {d: 3, y: 1, o: 1, z: 2, h: 1, f: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 2151096905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 + 312. Let j = 166.12 - g. Which is the nearest to j? (a) -2\/7 (b) 1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*l + 607 - 179, -i = -l - 423. Calculate the remainder when i is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = c - 13, -3*f + 7 = -3*c + 31. What is the smallest common multiple of 6 and (c - 40\/8)*97*-1?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/30 and 8\/(-12) + 31\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3187660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 322 + -120. Let r = k - 172.7. Let z = 29 - r. Round z to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27153109?\nAnswer: 19, 113, 12647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 13) in base 8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujkffololjkjlfof. What is prob of picking 1 u, 2 k, and 1 o?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4582255 times -194?\nAnswer: -888957470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i. Let y be l(1). Let n = y - 3. Let s be n\/2*(-5)\/2. Which is smaller: -6 or s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 6 = -54. Calculate the remainder when 48 is divided by 18\/(-42)*k*7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 687 = -2*m, 983 + 399 = 4*m - 2*v. Let w = -262 + m. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 - -60. Suppose z = -3*s - 0*z + 47, 20 = 4*z. Let l be (-44)\/(-6) - 6\/(-9). Solve -2*g - l*i = -t*i - s, -i + 4 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -789*p + 785*p + 7, -b = 7*p + 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 13*n. Let m(c) = -12*c. Let w(y) = -6*b(y) - 7*m(y). Let f be w(5). Let o = 23 + f. Is o 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 qqhnonzqpqnh. Give prob of sequence nz.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 456 + 477*j**2 - 125*j - 451 + 123*j - 1526*j**2 to the form z*j**2 + t + m*j and give z.\nAnswer: -1049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14 - ((-124227)\/(-180))\/43. Which is bigger: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*v + 2163969 + 774732, 4*v - 4*m = 3918268. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + -8 - (0 + -46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -511 (b) -3 (c) -2\/5 (d) 11 (e) 12 (f) 0.1 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -13.4. Let f be (-1 - (-20)\/14) + 0. Which is the nearest to 2? (a) -0.1 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 3\/4 (c) 0 (d) -0.0144 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 20*l**2 - 18*l + 53. Let a(s) = -3*s**3 - 21*s**2 - 19*s + 54. Let m(i) = 3*a(i) - 4*b(i). Is 12 a factor of m(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 4*s, -2*s = 3*g - 197. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268865393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4384426?\nAnswer: 2, 37, 179, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 79\/4. Sort 0, h, 1 in descending order.\nAnswer: 1, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35362?\nAnswer: 2, 17681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -101 - -51814?\nAnswer: 51713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 39\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(((sqrt(16) + sqrt(144))*2)\/(sqrt(800) + sqrt(800)*-2 + sqrt(8)) - (0 + (5 + sqrt(2) + 1 + (sqrt(288) - -1*sqrt(288) - sqrt(288)))**2)).\nAnswer: 2824*sqrt(2)\/9 + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 16*d - 908. Calculate k(-39).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2))**(-41))**40*(y*y**(-1)*y*y)**(-1)\/((y*y**1)\/y)**0 assuming y is positive.\nAnswer: y**(-4922)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 7*a + 3*a - 2, 4*n - 2*a = 8. Let c(g) = 1 + n*g + 1 - g**3 - 2*g**2 - g**2 - 1. Is 9 a factor of c(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 16*i - 10. Let y = -315 + 308. Let a(h) = 0 - h + 3 - 4*h. Determine y*a(t) - 2*g(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a - 68. Calculate f(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let i(g) = 8*g. Let p(u) = -6*f(u) + i(u). Let t(o) = -6*o + 2*o - o + 6*o. Give t(p(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-1 - (-5888)\/(-220). Let b = x - -246\/11. Find the common denominator of b and 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14.9 or 3?\nAnswer: -14.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**2 - 51*f - 5. Let y(l) be the first derivative of -l**4\/4 - l**2\/2 + l - 199. Let x(w) = 2*a(w) - 14*y(w). Factor x(i).\nAnswer: 2*(i - 3)*(i + 2)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 74 - -37378?\nAnswer: 37430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.39466 litres in millilitres?\nAnswer: 49394.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 54695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 6*m - v - 722, -5*m + 3631 = 2*v. Suppose d - 5*d + m = -3*n, 547 = 3*d + n. List the prime factors of d.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 4, -344, -8, 3, -109 in descending order.\nAnswer: 4, 3, -1, -2, -8, -109, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3509164859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*-1 + 1 + (sqrt(1377) - sqrt(1377)*1) + sqrt(1377) + 2)**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 3*c + 4. Let q be n(1). Factor 2*p + 8\/7 - 2\/7*p**3 + 4\/7*p**q.\nAnswer: -2*(p - 4)*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 4*t - 58. Let x be d(6). Solve x*i + 3*n - 2 - 3 = 0, 0 = -n + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 60. Suppose 8*u - 78 - 50 = r. Solve -4*m - m = -d + 14, 4*m + u = -4*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7426 is divided by 545.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 4 - (-174)\/(-14). Let o = s - -82\/7. Factor -o*h**3 - 16\/7 - 12\/7*h**2 - 24\/7*h.\nAnswer: -2*(h + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 590, 1933, 4144, 7199, 11074, 15745, 21188, 27379?\nAnswer: 34294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -227.1, 3, -71?\nAnswer: -227.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 224675829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*o + 24, -o = -i - 3*o - 8. Let p = i - -15. Suppose -4*v + 132 = 4*h, p*v - 165 = 5*h + 20. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 5. Let x(w) = 23*w + 14*w**2 + 41 - 8*w**2 - 7*w**2. Calculate the remainder when x(24) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -2, 84744, -3, -4 in increasing order.\nAnswer: -4, -3, -2, 1, 3, 84744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 1)*(-2*c**3 + c**3 + 3*c**3).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**(-3\/7))*u)**23)**(-34))**(-28) assuming u is positive.\nAnswer: u**12512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + 5. Suppose -2*n = 0, -4*w + 3*n = w + y. Let s = w + 22. Calculate the greatest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 188 - 51 = -339. Solve -6*y - z = -20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 5*i + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:46 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -157.028118759?\nAnswer: 157.028118759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*g - 66*g = 144*g - 558 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -7\/108 (b) -0.3 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6270169112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12789 by -3.\nAnswer: 4263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 962 - -1385. List the prime factors of t.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -175112928 - -295994342. Let y = f - 120881382.0000045. Let q = y - 32. What is q rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6327472 and -6327475 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 854766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0226 rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d + 3 = 0. Suppose 15 = -d*h, h = -5*q - 2 - 3. Find the first derivative of -4 + 3 + 2*c**2 + 0 + q*c**2 wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3850593?\nAnswer: 3, 701, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = -3. Let p(a) = 4*a + 2. Is p(j) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.56095267 + -0.63.\nAnswer: 10.93095267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -115*o - 99. What is r(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148*i - 247.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3 + 2 - s + 4*s + s - 5 - 3*s + 0*s + 2*s + 0*s + 0*s + 0*s + 2*s + (4 - 2 - 3)*(s - s - s).\nAnswer: 6*s - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/4689 - -25012\/4689. Find c, given that 588*c**4 + 1108\/3*c**2 + y + 1064*c**3 - 304\/3*c = 0.\nAnswer: -1, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19 (b) -8 (c) -2\/9 (d) -1\/4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 29*i - 23. Let j be (-6)\/(-10) - (-134)\/10. Let l be c(j). Let m = 546 - l. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1bb134 - -54?\nAnswer: 1bb188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8509*y**4 + 22*y**3 + 4*y - 28883793 wrt y.\nAnswer: -34036*y**3 + 66*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 37*j + 36*j - 159*j + 43*j + 40*j.\nAnswer: -3*j - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 23. Let t = 4 + z. Suppose -t = -2*v - 2*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*m - 149*m = -61 - 119. What is the greatest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -1862 - 718. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -942*f**3 + f**2 + f. Let i be n(-1). Suppose 4*q + 46 = i. Suppose 3*j - q = -5. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 + 3*f**3 - 3*f**2 + 5*f - f**3 + 4. Let o be c(-4). Let a be (-3 + 4)*(-1 + o). Sort a, -5, 3 in ascending order.\nAnswer: -5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21281771 greater than 21281775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 13*s - 3. Let w = 43 + -37. Let n be h(w). Suppose -180 = -t - 3*t - n*i, 3*t + i = 130. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -24.9. Sort 0, d, -5.\nAnswer: -5, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -30 - -10 - (-2 - (2 - 6))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278374*u**2 + 100883*u**2 + 185575*u**2.\nAnswer: 564832*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t + 5*t**4 - 4*t)*(-1 + 0 + 7)*(0 + 0 + 1) to d*t**4 + h*t**2 + c + f*t + q*t**3 and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-4)\/i)*i\/(i*i**0*i))\/(i**(-5)*(i\/(i*(i*i\/(i*i*i**(-9)*i))\/i))\/i) assuming i is positive.\nAnswer: i**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*w - 97000 = 82*w. Suppose w = 3*a - 8*a. What is a rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c**2 + 14*c - 13*c - 2 + 5*c**2. Let f be t(2). Suppose -2*j + 46 = 5*d + f, 0 = d - j - 8. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 33*c**2 + 2*c + 1. Let m be n(-1). Let t = m + -28. Suppose 4*u = -2*z + 1 - 7, -t*u - 3*z = 11. Solve 5*d + 18 = -3*p, -4*p + 2*d = d + u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 + 21*u**3 + 5*u**3)*(0*u - 2*u + 4*u).\nAnswer: 42*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 + 2.35. Let t = w - -0.28. Let y = t - -0.07. Sort 1.4, y, -1.\nAnswer: -1, y, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(14)\/sqrt(2) + 2 + 0 + -2 - ((sqrt(336)*-1)\/sqrt(6))\/((sqrt(8) - -6*(sqrt(8) - (sqrt(8) - sqrt(40)\/sqrt(5)))) + sqrt(8)))**2.\nAnswer: -9*sqrt(7) + 1591\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {o: 1, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2023 (base 4) to base 11\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 77, -1438.1, -5?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/(((-1)\/(-1))\/5)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 3*s + s)*(1629 - 131 + 14273 + 3204 + 7590).\nAnswer: -53130*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1776 + -676?\nAnswer: -1dec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 2, 137 in decreasing order.\nAnswer: 137, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41551390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13334 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-352)\/(-40) + 1\/5. What are the prime factors of 40 + i + (-2 - (-4)\/1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 5*i**2 - 4*i - 8. Suppose 3*d + 5*a + 3 = 0, 2*d + 6 = -3*a + a. Let k be d\/10*(-80)\/8. Let f be s(k). Solve v + f = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5. Let y(i) = 2*i**2 - 133*i - 304. Let g(x) = 3*h(x) + y(x). Differentiate g(j) with respect to j.\nAnswer: 4*j - 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3658906490.131 + 0.2\nAnswer: -3658906489.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmjhkgm. Give prob of sequence hgj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v = 108. Suppose 2*b = 4*b - 5*z + 64, -8 = 4*z. Let l = v - b. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.037 + -3.663. Let m = 0.5 - d. Let u = -4 + m. What is the second biggest value in -2\/5, u, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -18*k**2 - 5*k + 20. Let h(s) = 19*s**2 + 5*s - 18. Let w(q) = 3*h(q) + 2*t(q). Does 18 divide w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1473 divided by 3\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2455 * 0.6.\nAnswer: -1473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/30 - 3*u**2. Let p = 3 + 0. Let v(k) = 0*k**2 + 5*k**2 - p*k**2. Give t(v(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37497 * 0.02715.\nAnswer: 1018.04355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -8\/21*g**7 - 15\/8*g**4 + 0*g - 5\/3*g**6 - 329*g**2 + 0 + 0*g**3 - 11\/4*g**5. Determine t so that n(t) = 0.\nAnswer: -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(1\/4)*s)\/s)\/(s\/(s*s**(-4))*s))**(1\/30))**(-29\/5) assuming s is positive.\nAnswer: s**(29\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g - g)*(2 - 4 + 4)*(3 + 0 - 5).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -11*d - 132. What is h(-17)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/((d**3*d)\/d)*d\/((d\/(d**(-2\/13)*d*d))\/d*d)*((d\/(d*d*d**(2\/3)\/d))\/d*d*d)**(-23))\/(d**(-5)*d*d\/(d\/(d\/d**9)))**(-42) assuming d is positive.\nAnswer: d**(-19883\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - 0.184?\nAnswer: -0.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 57 + 23 = 0. Let c = q + 32. Calculate the highest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258871517 to the power of 1\/2, to the nearest integer?\nAnswer: 16089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -251\/669 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x**4 + 0*x**4 - 5*x**4 + (-5*x + 3*x + x)*(x**3 + 3*x**3 - 6*x**3))*(69*x + 12627 - 12627).\nAnswer: -759*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346 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: ((22\/(-60))\/(-9 + 286\/33))\/(-48 - -49)\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 1:17 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - -5)\/(3\/4). Suppose -q*b + 22*b - 9942 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h + 8. Let s(z) be the first derivative of -3*z**2\/2 - 18. Calculate s(x(q)).\nAnswer: 6*q - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5793283 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwvyjvwvvjvvvjjv. What is prob of picking 1 w and 1 v?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (25 + -11 - 22) + 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3880*f**2 - 1948*f**2 - 1933*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.4, 3, -197, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(360) + (sqrt(360) - (sqrt(360)*1 - sqrt(360)) - sqrt(360) - sqrt(360)))\/sqrt(2) - (sqrt(605) + (sqrt(605) - sqrt(605)*-1*4)))**2*4 + 2.\nAnswer: 522722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400811 and 452?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/2726 + 5441\/29986. Let -z*a**2 - 10\/11*a + 4\/11*a**3 - 4\/11 = 0. What is a?\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3758*w - 3755*w - 9 = a, -12 = -4*w + 55*a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104179*r**4 - 4*r**3 + 3*r**2 - 45*r - 647.\nAnswer: -2500296*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 112740*c**3 - 771029460*c**2 - 1527785737920*c - 918203293912320.\nAnswer: -5*(c + 1368)**2*(c + 9906)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -54 - 6 - (-15 + 22 - 14 - -25)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 35 = -s, 3*w - 46 = -s - 11. Sort s, -2, 5.\nAnswer: -2, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 i, 1 r, and 1 a when four letters picked without replacement from {v: 3, i: 2, u: 2, z: 3, a: 1, r: 3}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a72 + a378?\nAnswer: b22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 31340*n**2 + 786395*n - 1447390.\nAnswer: -5*(n - 23)*(n - 2)*(n + 6293)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*u + 64 = -8*u, 0 = 4*u + 8. What is the remainder when 236 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skffkkkkunuku. Give prob of picking 1 s, 1 u, 1 k, and 1 f.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.781 - -0.219. What is the closest to l in -0.1, 0.4, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 4*j**2 - 4*j + 1. Let k be ((-3)\/4)\/((-1)\/(-4)). Let a be d(k). Let v be (8 - 2 - (-5044)\/(-873))*(-45)\/(-2). Solve -v = -y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2609819, -2609821, -2609823?\n\"Answer: -2*m - 2609817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.3. Let k = -7 + 11. What is the second smallest value in r, 0.1, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12129663703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3265604?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + (-5445)\/(-77). Let g = x - 10. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324564 = 8941*w - 1393*w for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2459 and 0.1?\nAnswer: 245.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 496*p - 386. Let s(w) = -w - 3. Let g(v) = l(v) + 3*s(v). Is g(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) + sqrt(25)\/sqrt(5)*4).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(468) - (1*sqrt(468) + -2)))*2)**2 - (((sqrt(104) - (sqrt(104) + -3*sqrt(104))) + sqrt(104))*-3)\/(sqrt(968)*2 - sqrt(8)).\nAnswer: 4*sqrt(13)\/7 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 28 = 2*y + 3*y, -5*y = 4*q - 39. What is the remainder when 34 is divided by q - -6 - (-1 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 384\/(-144)*(0 - 90\/(-12)). Suppose -20 + 3 = -h. Suppose w + 2 = -h. Is w at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230201 (base 4) in base 16?\nAnswer: 1b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o - 8. Let y(x) = -11*x + 7. Let r(c) = -3*l(c) - 4*y(c). What is the remainder when 47 is divided by r(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 119 = 19*h. Suppose -4*b = -h*b + 432. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.314? (a) 1 (b) 79 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**2 + 2*x**2 + 6*x**2)*(-x - 4 + 4)*(3599 + 70*x - 3599) in the form c*x**4 + n*x + z*x**3 + y*x**2 + s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**2 - 2*a - 1\/12*a**4 + 0*a**3 - 2. Let c(o) be the first derivative of u(o). What is the derivative of c(s) wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 808?\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 10116 = 5*o - 15*v, 5*v = 4*o - 8073. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -2, 0, -3, 4, -14 in decreasing order.\nAnswer: 4, 0, -2, -3, -14, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1251 + -877. Let p = -257 + q. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5792067 (base 10) to base 5\nAnswer: -2440321232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 2\/5 (b) -0.2 (c) -2\/3 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.3, 0.8, -6, -1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016057 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 28. Let y be (3 + j)*3\/(-6). Solve 3*m + y*m = -15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:32 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 5*u**2 + 740*u + 3070. Give w(-4).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -80*a**3 + 10*a**2 + 20*a - 1. Is c(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191.28834 seconds to hours.\nAnswer: 0.05313565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(((-36)\/(-567))\/(-4)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 1\/(-3 - (-184)\/(-26) - -10)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5045 (b) 13 (c) -2\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 204, 460, 808, 1242?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*r = 2134996, 15*f - 20*f + 2*r + 2668739 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 992403?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787063.\nAnswer: 179, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + 0 + 4 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15252 divided by -3932\nAnswer: -3813\/983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5436 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**3 + 187948*l**2 - 2196363392*l - 268518803344 = 0. What is l?\nAnswer: -121, 23554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8754661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -7*i - 105 + 158, -5*k + 3*k = 5*i - 34 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31603702?\nAnswer: 2, 13, 23, 41, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5)\/q*q*q*q)\/q**(-3\/5))\/(q**(-2\/5)\/(q**(2\/3)\/q)) assuming q is positive.\nAnswer: q**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*i**3 - 2314*i**2 - 724*i - 56 = 0 for i.\nAnswer: -2\/13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7990, 8555, 9156, 9793?\nAnswer: 10466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 12*f**2 + 3*f + 17. Let w be m(5). Sort 13, 5, w in increasing order.\nAnswer: w, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/4*(-32)\/80)\/((-9)\/75). Solve -220 - h = -47*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 2)*-3 + -23. What is the remainder when 6\/12 - (-118)\/8*2 is divided by (-6)\/(-9)*(-2 - g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300\/70 - (2 - (2 - 4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -327b (base 12) to base 6\nAnswer: -41435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -287, -286, -287, -290?\n\"Answer: -g**2 + 4*g - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 3 - 3 + 0 - t + 0 - 2*t + 3 - 3 + (1 - 2 + 3)*(2*t - t + t) - 3*t + 0*t + 4*t - 2*t + 2*t + 2*t - 1 + 1 + t + (-t + 3 - 3)*(2 - 1 - 2).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12237 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6371 - -2?\nAnswer: -636b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 4*l**2 - 3*l + 4. What is a(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -595 - -2186. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12388 times 665\nAnswer: -8238020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/41, -0.4, 1\/3, -1\/5?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2178*a**3*w - 4339*a**3 + 946*a**2*w + 4*a**2 + 5749*a*w + w - 1 wrt a?\nAnswer: -13068*w - 26034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7530 - -14079.2\nAnswer: 21609.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 2124 = 463. Let d = q + 206. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-10))\/(4\/(-10)). Let x be (-530)\/(-19) + (-3)\/12. Let k = 111\/4 - x. Which is the nearest to n? (a) k (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.281401ug in tonnes?\nAnswer: 0.000000000000281401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = n - 5*w - 237, 5*n - 1185 = -2*w. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -13\/4*u**4 + 1\/3*u**3 - 191\/2*u**2 + 0*u + 79. What is the second derivative of t(v) wrt v?\nAnswer: -78*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, 18, -3, -1 in descending order.\nAnswer: 18, -1, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 13 + 3*p + 13 + 3*p. Let g(j) be the first derivative of 0*j - 10 + 19\/2*j**2. Calculate g(d(y)).\nAnswer: 76*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 340 = -19*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 25 = 4*j + 4, 2*x = 3*j + 21. Let s be -9 - 1\/(3\/x). Is s\/25*-5 + 47 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 11*h = -6*h + 27, -15 = 5*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 8*g + 175. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -419 - -421. What is the nearest to 2\/9 in s, 2\/9, -3, -0.6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83230 divided by 2378.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -64*s. Let a(n) = -64*n. Calculate 4*a(x) - 5*q(x).\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -6, 5, -2 in decreasing order.\nAnswer: 5, -2, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f*(f*((f**(2\/87)*f)\/f)\/f*f)\/f)*f)*f**7*f)**(3\/8) assuming f is positive.\nAnswer: f**(785\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.77 - 3.5. Let m = 14.73 + i. Let q = m - 10. Which is the biggest value? (a) 3\/4 (b) q (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 17*p**5\/20 - p**4\/12 - 5*p**3\/6 + 3*p**2 - 2. What is the hundreds digit of c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75934.9 litres?\nAnswer: 75934900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 533\/26)\/((-4)\/(8\/6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -2244313134?\nAnswer: -2244313125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 577855*v**4 - 14932*v**2 - 2*v wrt v.\nAnswer: 13868520*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28943166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.887 - 0.113. What is the second biggest value in t, 3\/2, -29?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -343\/4269?\nAnswer: -343\/4269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -11*q**3 - q**2 - 8*q - 7. List the prime factors of n(-3).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2526*l - 10. Let y(x) = -134*x**2. What is n(y(c))?\nAnswer: 338484*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -93040 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6080 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: In base 8, what is 151567 - 0?\nAnswer: 151567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.05231 to one dp.\nAnswer: 47.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14476572 and 3058.\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171619578 to the power of 1\/3, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4924198 - -4923997.0101. Let t = -201 - a. Round t to 4 decimal places.\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -245 + 357. Calculate the remainder when j is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Let x(c) = -11*c**2 + 5*c. Suppose -2*q + 0 = 4. Let h(y) = -5*y**2 + 2*y. Let l(j) = q*x(j) + 5*h(j). What is a(l(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 410.989234 rounded to one dp?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51128748 by -4.\nAnswer: -12782187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16673145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-1 + 1 + (sqrt(12) + sqrt(972)*1)\/sqrt(6) + 5 + -5.\nAnswer: 1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -80*((-12)\/(-642) + 14065\/77575)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Suppose 0 = -p + m + 4. Suppose 3*h + 4*w + 1 - 95 = 0, -h + 5*w = -p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2880 and 1560.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 11*n + 13*n = 4, 12 = 3*n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 + -10.6. Let y = w - -13.4. Let r = -170 + 1194\/7. Which is the closest to -1? (a) y (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -5*s - 10 + 40, 6*s - 516 = 3*s - 498 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.45570073 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.039\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 390\/520 + 109\/(-12) - (-9 - 5)\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -n + 6. Let k be (-4)\/(12\/15)*n. Let m = 72 + k. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 1, z: 2, e: 3}. Give prob of sequence zuz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 802665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4232550 - 8264?\nAnswer: 4224286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463110331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2351, -2200, -1945, -1586, -1123, -556, 115?\n\"Answer: 52*d**2 - 5*d - 2398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4350279 micrometers?\nAnswer: 0.0004350279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8776 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/(-84) + 25\/(-300)*9\/1. What is the third smallest value in -5, r, 0.11, -22\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**4\/4 + 13*y**3\/3 + 13*y**2\/2 + 13*y + 191. Calculate n(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22355?\nAnswer: 5, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850092149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t + 433. Let w(c) = 3*c + 154. Let d(n) = -6*b(n) + 17*w(n). Give d(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3861238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (216\/840)\/((-3942)\/1460)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/5 - 36*f**2 + 177*f\/5.\nAnswer: 3*f*(f - 59)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 2*q + 7)*(5*q**2 + 0*q**2 - 2*q**2 - 4 - q) in the form a*q + d*q**2 + w*q**3 + n and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-3)\/4)\/((-3)\/(-8)). Let l(o) = 0*o**2 - 4*o**r + 7*o**2. Let b(s) be the first derivative of 2*s**3\/3 + 1. Calculate l(b(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/8, 914, -90, 6\/19 in ascending order.\nAnswer: -90, -1, -1\/8, 6\/19, 914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19385 or -19433?\nAnswer: -19433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1365, -1358, -1351, -1344, -1337, -1330?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -257.\nAnswer: -3\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 15) in base 2?\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**6*v*v)*v*v*v**(-8) assuming v is positive.\nAnswer: v**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 5*u + 2. Let y(i) = -i**2 - 4. Let s(j) = -6*j**2 + 11*j - 12. Let n(v) = -s(v) + 2*y(v). Calculate -9*g(r) + 4*n(r).\nAnswer: -2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2341 (base 9) to base 4.\nAnswer: -123022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6) + (-10 - -14) + -2 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14.05006 * 27\nAnswer: 379.35162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -133013 (base 4) in base 3?\nAnswer: -2201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*b - 45*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 not equal to -11\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/6 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -5*(sqrt(20) - sqrt(40)\/sqrt(2)) - sqrt(20))\/(sqrt(40)\/(sqrt(10)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71007088 at least 71007088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*c**2 - 1 + (0*c + 5*c - 2*c)*(c + c - c) + 2815*c - 53*c**2 - 2815*c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*v - 32. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 191*i*y**2 - 14*y**2 - 22*y wrt i.\nAnswer: 191*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxvvxvvvvx. What is prob of picking 2 v and 1 x?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**6 - 15740*v**5 - v**2 + 34233*v?\nAnswer: 120*v**3 - 944400*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4592*v + x = 4594*v - 23, 0 = -4*v - 3*x + 26 + 15 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159445.83*0.03.\nAnswer: 4783.3749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206313139.\nAnswer: 17, 3359, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 15. Let c = n + 6. Suppose 0 = 4*u + 4*r + r - 447, -5*r - 25 = c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g - 4. Let t(p) = -3*p**2. What is t(s(d))?\nAnswer: -75*d**2 - 120*d - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) -3\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 + -68. Let m be 52\/(-8)*2\/(-1). What is the highest common divisor of r and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2. Let o(u) = 1025 - 1025 + 12*u. Calculate i(o(b)).\nAnswer: -288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13196713, 13196714, 13196715?\nAnswer: 13196716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.033\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 51. Let j(b) = 2*b**2 + 1. Let t = 3 + -7. Let h(o) = -5*o**2 - 3. Let r(g) = c*j(g) + t*h(g). What is the first derivative of r(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 14 = g - 3*g, -13*g - 3*j - 27 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64.85, -4.09, -15 in increasing order.\nAnswer: -15, -4.09, 64.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 2:09 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 62. Suppose -5*f + y = 0, -i - 15 = -10*f + 6*f. Solve -2*a = -5*g - 16, 5*a + 0 = -5*g + i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nngnnuugnpnt. Give prob of picking 2 u and 1 n.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*w = -24, 3*b - 17 = 4*w - 43. Suppose z = 2*z + z. Which is greater: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 554 = 3*o, -2*o + v + 2*v + 371 = 0. Let z = -72 + o. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 + -155. Let r be -9 + (-16)\/c + (-4)\/(-1). Solve 4*n + 5*q = -17, -2*n - 2 = -r*q - q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 190 = 86*g. Suppose -2*y = -2007 + 299. Suppose 0 = -l - g*x + y, -23 = -2*l - 2*x + 1705. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = -0*p - 7469000. What is p rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*(sqrt(108) + sqrt(108) + sqrt(108) + 1) - (sqrt(48)\/sqrt(4) + 4)))**2.\nAnswer: 6624*sqrt(3) + 101892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 = -5*i + n, -3*n = 5*i - 3. Let f = 1 + i. Suppose -2*z - 105 = -5*t + z, 0 = -f*t - 3*z + 111. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 - 196.404. Let h = -0.066 + z. Let m = 0.47089 + h. Round m to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000146400284 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 406 and 8729.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Suppose -t + 3 = -3*a, 4*t - 5*a + 7*a - 12 = 0. Let s be t\/h - (-37 - 2). Calculate the highest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4001364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, m: 4}. Give prob of sequence nmm.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -19*b + 14*b. Suppose -v = -b*v. Put -12, v, -4 in ascending order.\nAnswer: -12, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + 1. Let i(n) = h*n + n**2 - 2*n**2 + 0*n**2 - 11*n. Calculate i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.9 (b) 4\/9 (c) -1 (d) 0.1 (e) -16.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 12. What is x(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h**3 + 71*h**2 - 64. Calculate the lowest common multiple of f(10) and 222.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 52*b**4 + 0 + b + 13*b**2 - 56*b**4 as a*b + s*b**3 + r*b**4 + y*b**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**2 - 3. Let z(q) = 4*q**2 + 2. Let m(k) = 4*b(k) + 6*z(k). Let j(d) = -3*d + d + 4*d. Calculate j(m(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 358578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192.46178*8.\nAnswer: 1539.69424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 51\/15 - (-2)\/(-5). Suppose 0 = o*d - 2*d - 30. Suppose 0 = 3*m - 33 - d. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2236 = -3*i - 2717. Let v = i + 2760. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.3+65\nAnswer: 60.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34, 206, 474, 826, 1250?\n\"Answer: -2*i**3 + 60*i**2 + 6*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46305 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*g)*(-2 - 2 + 3) + 2214 - 2212 + 3*g - 29*g.\nAnswer: -23*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 742152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1. Let i(s) = -s - 5. Let n(f) = 5*h(f) - i(f). Let t(j) = -j. Give n(t(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 5*p + 12, 5*u + 12 - 4 = p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:37 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*l - 1617 - 1659 = 1314*l - 25926 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1337368 or 1337366?\nAnswer: 1337368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(8) + -2)**2 + -1 + sqrt(24)\/sqrt(3))*-4.\nAnswer: -224 + 104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*v + 134, -m + 3*v - 107 = -5*m. Let k = 28 - m. Solve -k*j + 5*j - 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 749889.1l?\nAnswer: 749889100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661000 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 7*c**2 + 7*c + 14. Let w be z(8). Let o(q) = -w*q + 1 + 1 + 6*q - 4*q. What is o(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18828305 (base 9) to base 10\nAnswer: 9526091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(1\/((1*-4)\/(-16)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -0.1. Let x = 58365 - 58365.1. What is the smallest value in -3, r, x, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -789222 greater than or equal to -789224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * -0.5631.\nAnswer: -0.073203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -22*h**3 - 2*h**2 + h + 2. Determine d(2).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 199*i**2 - 1907*i + 180. Determine u(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.2. Let c = q - -0.1. Let g = 0.42 - -0.08. What is the nearest to 0.1 in c, 4\/5, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32248247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 39*(0\/(-4) + 1).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 4:17 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*p**5 - 13*p**5 + 2*p + 33*p - 6*p wrt p.\nAnswer: -440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 2:21 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, -5, -2\/13 in descending order.\nAnswer: 5, -0.1, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 - -256 - (65 - -5).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9691 + -5.\nAnswer: -2.0309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -18529838?\nAnswer: 18529838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 997\/1182 + -2\/197. Find o such that 4\/3*o**4 + 1\/3 - 5\/3*o**2 - s*o**5 + 2\/3*o**3 + 1\/6*o = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -725*p + 736*p - 220. Solve -12*r + 2*r = -p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v - 39*v - 11*v + 2*v - 9*v - 3*v - 74.\nAnswer: -48*v - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a - 40. Let o be i(-7). Solve 0 = 3*y - 4*y - o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -781*a**2 + 633*a**2 + 167*a**2 - 424*a.\nAnswer: 19*a**2 - 424*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-2 - (-5)\/1). Suppose 0 = 25*t + 22 - 47. Sort -13, j, t in increasing order.\nAnswer: -13, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, y: 1, z: 11}. Give prob of sequence ys.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 749, 1120, 1489, 1856?\nAnswer: 2221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3233*h**2 - h - 3252*h**2 + 2*h.\nAnswer: -19*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 3. Let k(h) = h - 3*h + 1 + 3*h. Calculate -6*k(x) + 2*l(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/10 (b) -0.3 (c) -0.2 (d) 2\/13 (e) 3698 (f) 0.4 (g) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a*n**2*v**3 - 4*a*v**3 + 35*a*v + 3*n**2*v**3 + 3*n**2*v wrt n?\nAnswer: -6*a*n*v**3 + 6*n*v**3 + 6*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 11100?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -4263?\nAnswer: -4273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(5)*4 + sqrt(5) + -2)*-1 - (sqrt(405) + 1 + -4)*5)*-1)**2.\nAnswer: -1800*sqrt(5) + 12824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 11 = -3*n. Suppose r = -2*j + n + 3, 35 = 5*r + 3*j. Suppose -8*m + 88 = -r*m. Calculate the greatest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/12 + p**3\/3 + p. Let a(k) = -5*k**2 - 9*k. Let q(x) = -2*a(x) - 9*v(x). Let c(i) = 2*i**2. Determine q(c(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 2*z**3\/3 - 15*z**2\/2 + 31*z - 86. Differentiate x(i) with respect to i.\nAnswer: 4*i - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84601484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**4\/12 + 19*l**3\/6 + 4752*l**2 - l. Determine t(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 56305634 = -14305634. What is c rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 488312 and 2604.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -833, -1884, -3343, -5204, -7461, -10108, -13139?\nAnswer: -16548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 530 - -431. Suppose -c = y - 2659. List the prime factors of c.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4036, 8114, 12192, 16270?\nAnswer: 20348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = s + 184552, -j + 26828 + 10074 = s. What is the ten thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -992 - -992.01212. What is n rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - (-22)\/4. Let l(h) = 5 - j + 2*h. Let i(y) = -6 - y + 6. Determine i(l(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. Suppose f*t + 38 = -2. Let y be (-2)\/(-8) - t\/(-8). Which is smaller: y or -1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0)**11*y**(-5\/8)\/y**11 assuming y is positive.\nAnswer: y**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*u**2 - 51*u**2 + 7*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170915 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 28. Let h(v) = -2*v - 56. Let b(s) = 5*a(s) + 2*h(s). Calculate the remainder when 524\/9 - 4\/18 is divided by b(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 8:49 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 369 or 346122\/941?\nAnswer: 346122\/941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 3 - 1 - (-369 + 390)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 2*s = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 11:14 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1699 - -1699. Let r be (-15)\/(-20)*(-68)\/(-30). Which is smaller: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -85, -91, -87, -73?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -163*b - 964. Let u be y(-6). Sort 0, -5, -3, -1, u in ascending order.\nAnswer: -5, -3, -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from ummmmmmmmmmmmmmmmumu.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -738, -1193, -1644, -2091, -2534, -2973?\nAnswer: -3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6615186 is divided by 2574.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 16) to base 13\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzz when three letters picked without replacement from yyzzy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6968, -13927, -20886, -27845?\nAnswer: -34804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6222\/31 or 494.6?\nAnswer: 494.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61574.67 litres?\nAnswer: 61574670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from {w: 2, d: 6, p: 1, u: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3)\/((-2)\/4). Let d = 5.7 + -5.8. Sort a, d, 2\/57 in ascending order.\nAnswer: a, d, 2\/57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avav when four letters picked without replacement from vvaahvhhhh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 4, -0.3, 156685, -5?\nAnswer: 156685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6870471731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2311 + -2306. Let y be 0 - 0*2\/4. Solve y*p + 3*q + 12 = -p, -p + t*q = -12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 5. Let q = g - -4.3. Round q to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z + 32 = 4*b, 4*z = 4*b - 32. Let o = -7 + b. Solve o = 3*x + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 7*v - 247 = 3*y, 49 = y - v. Solve 11*s + y = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2751.534 millimeters?\nAnswer: 2751534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 4. Let g be b(-4). Let c = g + -6. Find s, given that 7*s - 9*s**5 + s**3 + s**3 + 11*s**4 - 1 - 14*s**c + 4*s**4 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 - 8 - (6 - (-1 - -4)). What is the first derivative of 0*o**q - 155*o + 19 - 84 + 180*o - 2*o**3 wrt o?\nAnswer: -6*o**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2614 = 36*c - 734. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 - 105. Let r = 7.1 - 7. Suppose 2*j - 3 = z + 3, -4*j = 5*z - 12. Which is the closest to r? (a) h (b) j (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 2*b**2 - 2*b - 1. Suppose 4*k = 3*s - 11, 5*s + 1 = 5*k + 11. What is l(s)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 1. Let a(w) = 6*w + 42. Let i be a(-8). Let r(c) = 2 + 6*c + 2 + 2. Let s(d) = i*f(d) - r(d). What is the second derivative of s(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*p + 42 + 11 + 62 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, u: 4, z: 3}. Give prob of sequence uzcz.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 2*k - 10. Suppose -4*x + 11 = 4*b - b, -x = -b + 6. Is i(b) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/7 - 10*o**4\/7 - 962*o**3\/7 - 950*o**2\/7 = 0 for o.\nAnswer: -19, -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 459 + -495 + (-40 - 32).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/24582 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v - 2. Suppose 2*h + 0*h = 2*o + 4, 3*h + 2 = -o. Let t be z(h). Let s be (-1)\/(t - -1)*5. Calculate the greatest common factor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 6, u: 1, q: 2, x: 3}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 12:59 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 27, -0.5, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 113078 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 7216775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -266, -390, -554, -764, -1026, -1346, -1730?\nAnswer: -2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322222 (base 6) in base 13?\nAnswer: 27368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 2:22 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (-926919)\/(-84) - 15\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-1)*y)*y*y)**(-1\/12)*(y**(2\/3))**46)\/(y**1*y**(4\/3)*(y**(-1\/4)\/y*y)**(-2)) assuming y is positive.\nAnswer: y**(331\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -478 - -479. Solve -7*h + 6 = -s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -328, 28, -3, 10, -5.\nAnswer: -328, -5, -3, 8, 10, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + sqrt(1377) + -2 + -1.\nAnswer: -3 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + c = -9, -11*j = -9*j + 3*c + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12 = 0, 2*l - l + 2*a + 9 = 0. Let p(o) = 10*o + 6. Let b(u) = 281*u - 140*u - 138*u + 2. Let k(w) = -7*b(w) + 2*p(w). Give k(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**4\/4 + 5*f**3\/3 - 5*f**2\/2 + 1. What is h(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/(-512) + (-15282)\/(-48))*13\/(-39).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-6)\/(-4)) - -10973. Suppose -3*j + 5*u - 6 = 0, 3*u - 29 + 14 = -2*j. Suppose 5*d - m = -4*t, -3*t - j + 0 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -22. Let z(u) = -2*u + 7*u**2 - 3*u**2 - 2*u**2. Is z(d) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 210 + -22 + -1 + 0 + 1. Let p = -264 + w. Let g = p - -154. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34, -180, -424, -766, -1206, -1744?\n\"Answer: -49*m**2 + m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -928344 divided by -232086.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66805\/9 - -7423. What is g in 0*g - b*g**3 + 2\/9*g**2 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**5\/20 - 5*m**4\/12 - m**3\/6 - m**2\/2 + 160*m + 284. Let i(k) be the first derivative of a(k). What is i(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f + 12 - 33 + f. What is the smallest common multiple of m(-13) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 2. Let l be t(4). Find the second derivative of l*v**2 - 17*v**2 - 15*v**2 + 12*v wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67638074 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 3, 61, 12 in ascending order.\nAnswer: -6\/7, 3, 12, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c1 (base 16) in base 12?\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -243 - -191. Let r = -48 - y. Find c, given that -1\/5*c**r - 1\/5*c - 1\/5 - 1\/5*c**5 + 2\/5*c**3 + 2\/5*c**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 5*t + 92 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 - 1453 = 6*y. Let i = y - -286. Solve 0 = -3*t - i + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*k*p**3 - k*p + 16*k + 9184*p**3 wrt k.\nAnswer: -39*p**3 - p + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1055444 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**2\/2 + 6*y - 61. What is o(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233554057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 64*h + 62.\nAnswer: 2*(h + 1)*(h + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/8 - 6365381*z\/4 + 9548076.\nAnswer: -(z - 6)*(z + 12730768)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51405450 (base 6) to base 2.\nAnswer: 101101001000000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*r + 978*r = -33*r + 92742 - 8188 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 80.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 2, k: 1, r: 2}. What is prob of sequence fr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - h - 5 = 0. Let w = -12 + 23. What is the highest common factor of h and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + -5 + (-31 - -36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145699 + 146077 = 5*f + 4*l, -65*f + 4800 = -5*l for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6804 divided by -80736.\nAnswer: 567\/6728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -425960, -425974, -425988, -426002?\n\"Answer: -14*k - 425946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -4. Let g = -42 + a. What is the remainder when 41 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1721804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*o**4\/5 + 147*o**3\/5 - 117*o**2\/5 - 144*o\/5 + 156\/5 = 0. What is o?\nAnswer: -1, 13\/12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37761805 to the nearest integer?\nAnswer: 6145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 440 = 7*w. Let z = 123 + w. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:31 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6026?\nAnswer: 2, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*y - 6450, 0 = -v + 2*y + 2*y - 1590. Let n = -3153\/2 - v. Let p = -1\/125 - -101\/125. What is the common denominator of n and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose z + t*z = -12. Let x = z + 29. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.5831 hours in microseconds?\nAnswer: 1694099160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4530 = -4*l - g - 27992, -29317 = 5*l - 4*g. Let m = -58583\/10 - l. Let o = 1\/280 - 1831\/3080. Find the common denominator of m and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10288 = -11*n + 5*n, -4*n + 6872 = x. Is 43 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -j - 19, -3*g + 4 = 2*j - 10. Suppose 4*p + 5*a - 18488 = 11312, g*a - 14894 = -2*p. Suppose -85455 + p = 2*n. Round n to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94337856 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7589 + 75811\/10. What is the common denominator of m and 4\/(-18) + (-1771)\/(-882)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from jwwjtjtcsjbbjwtbbw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27029111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-7)\/315 - ((-210)\/25 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 + -10 - (1 - 25)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2819655 is divided by 85?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80170 rounded to the nearest one thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4 - 128*m**3 + 2028*m**2 + 128*m - 2030 = 0.\nAnswer: -1, 1, 29, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -14, -31, -54, -83?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a**2 + 5*a**3 + 0*a**3 - 17*a**2.\nAnswer: 5*a**3 + 29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-124))\/((-3072)\/(-7936)))\/((-3)\/117)?\nAnswer: -65\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132681 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 (sqrt(44)\/((sqrt(40)\/sqrt(5))\/sqrt(4) + sqrt(2)))\/((sqrt(8) - sqrt(2))*1*3).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/31605 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 11:48 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4)\/(z\/(z*z*z**6*z*z))*(z**(1\/3))**32 assuming z is positive.\nAnswer: z**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10119*r + 10211*r = 1472 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35892363 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 4*k**2 + k**2 - 11*k**2 - 5*k**2. What is u(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162625466 is divided by 87?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 23 = 18*t. Sort 3, t, 0, 4.\nAnswer: t, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 115103174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + d**2 + 2*d + 2. Let f(l) = 56*l**3 - 3*l**2 + 330*l + 10. Let h(v) = -f(v) + 5*r(v). Find the second derivative of h(x) wrt x.\nAnswer: -306*x + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -15 + (8 - 4) + 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -399 - -529. What is the greatest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/3)\/((-1)\/(-3)). Suppose 4*r = q - r + t, 0 = 3*r - 9. Let h = 35197 + -35193. Is q at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 2*f - 3. Let j be v(-2). Let d = j - -7. Suppose d = 6*r - 7*r + 25. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -164.156 + 0.156. Let u = n + 163.99969. What is u rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 13*q**8\/336 - 23*q**5\/60 - 15*q**2. Find the third derivative of y(i) wrt i.\nAnswer: 780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -593.\nAnswer: -593.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5617254 or 5617255?\nAnswer: 5617254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -12*b + 185. Calculate the highest common divisor of b and 791.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 34310?\nAnswer: 2\/17155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1. Let v(o) be the second derivative of -o**3\/6 + 4*o**2 - 3*o. Let h(s) = 3*i(s) - v(s). Calculate h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 5. Let u(s) = -s**2. Let c(g) be the third derivative of g**6\/120 + g**5\/20 + g**4\/8 + g**3\/6 + 132*g**2. Determine w*c(d) - 3*u(d).\nAnswer: -d**3 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -842 plus 2.5?\nAnswer: -839.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 2*k + 936. Let b be t(0). Suppose 14*p = 5*p + b. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*h = -3, 0*q = q + 4*h + 11. Suppose -p = q - 5. List the prime factors of ((-18)\/p)\/((-6)\/(-104)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 + 16*m**2 + 51*m**2)*(0*m + m + m)*(1 - 2 - 1)*(5 - 9 + 6)*(3 - 3 + 3*m).\nAnswer: -1728*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 2) to base 10\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 185*a**2 - 3*a. What are the prime factors of u(-2)?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -6*v**2 - 5*v - 4. Let t be g(-4). Let i = t - -2. Calculate the remainder when i is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 k when three letters picked without replacement from {x: 4, k: 16}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 158725455233.721?\nAnswer: 158725455236.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -512 - -920. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/39*1)\/(9*(-10)\/(-90)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 12*t**2 + 13*t - 13. Let g be (-54)\/(-21) + (-12)\/21. Suppose -6*x - 40 = -g*x. What are the prime factors of n(x)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 8 + -6 + 29 + 12?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = -142 + 128 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13654903.\nAnswer: 337, 40519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + i. Let b be n(-1). Suppose 3*u - 3*p - 18 = b, 0*u + 30 = 5*u - 3*p. What is the units digit of (3\/(-9))\/((-2)\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.1 at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 + (-3)\/(-135). Let h = -10 - -4. Let d = h - -5. Which is the closest to d? (a) 4 (b) -2\/11 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*t**2 - 63*t**2 - 4*t**2 + (-2*t + t + 0*t)*(1 - 1 - t) + (-3 + 3 + 7*t)*(0*t + 4*t - 5*t) + 0*t + 0*t + 2*t**2.\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1818\/5 - 5453\/15. Let p(c) be the first derivative of -3\/10*c**2 + 6 - 2\/5*c - q*c**3. Solve p(g) = 0 for g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -12*c + 9. Let h be d(8). Let x be (-4)\/18 + h\/(-27). Factor v**3 + 3*v**5 + 6*v**3 - 7*v**4 - 2*v**4 + 2*v**3 - x*v**2.\nAnswer: 3*v**2*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197885.\nAnswer: 5, 19, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 1:37 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-4))\/(2\/4). Suppose -q - s*a = 5, -3*q + 3*a - 86 = -17. Let k = -9 - q. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-849)\/2 + (-5)\/(-10). Let n = q - -627. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 29 = z, 8 = 3*w - 7. Let h be (0 - z)\/(1 + -3). Let f(q) = q**3 + 6*q**2 - 7*q + 1. Let a be f(h). Solve s = -a - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(0*o + 2*o - 3*o) - 26 + 5*o + 28 - 4*o.\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/3420 and 53\/1140.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*f + 3*f, 0 = 3*d + 4*f + 22. Let w = d + 9. Suppose -w*q + 32 = -q. Calculate the remainder when 47 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.59 - 4.51. Let d = 5 + o. What is the biggest value in 5, -2\/9, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -57.\nAnswer: -55\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1467*f = -1835*f - 11776 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 1 - 4*y - 5*y)*(-774*y + 1350*y - 1043*y).\nAnswer: 5604*y**2 - 467*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 29. Calculate the least common multiple of 2 + (-2)\/(-4)*-2 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*w = -4, -4*x - 5*w + 17 = -0*x. Suppose 8 - 7 = o, 4*a + 18 = 2*o. Sort x, a, -5.\nAnswer: -5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 903456.162 and 0.3.\nAnswer: 903456.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -24*r**2. Let j(s) = -s**2. Suppose -9*q - 12 = -21*q. Give q*y(o) - 12*j(o).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.41 - 5.54. Let v = 0.43 + x. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.297 - -317.797. Let j = h - 318. Let g = -0.8 + 4.8. Put -1\/9, g, j in ascending order.\nAnswer: j, -1\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 5) to base 9\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w. Suppose -o = -6*o + 25. Let u(t) = t**2 - 2*t - 5. Let d be u(o). Suppose 0 = 2*a - 0*a - d. Calculate m(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2*c**2 - 5287*a**2*c*f - a*c**2 - 2*c**2 + 2*c*f - 2693 wrt a?\nAnswer: -2*a*c**2 - 10574*a*c*f - c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 8*g = 6*a - 2*a + g + 7, 5*g - 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97198672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -475404*c**2*o**2 + 11890*c*o**2 - o**2 wrt c?\nAnswer: -950808*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + ((sqrt(91) + -1*sqrt(91))*-3 + sqrt(91) + -3*-1*sqrt(91))\/(sqrt(14)\/(sqrt(8)\/sqrt(4)) + (sqrt(77)*-2)\/sqrt(11))).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*g - 2162 = -4141 - 3304 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1299283899 and 59295?\nAnswer: 11859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 39*k + 29*k = -67, 4*l + 3 = k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 261085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35913500 and 2387.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c**2 - 42*c + 85. Calculate k(-10).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 430, 430, 432, 436?\n\"Answer: j**2 - 3*j + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00028712 to 5 dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 11 = -0*u + 3*u, 4*h + 5*u = 7. Let j(d) = -5*d - 3. Let b be j(h). Let k be -7*(-2 - (-16)\/b). Round k to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627975434?\nAnswer: 2, 41, 7658237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2794.9, -5, -0.4 in descending order.\nAnswer: 0, -0.4, -5, -2794.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 494 and -116.\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/72*(-36)\/(-168)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, y: 2, b: 1, h: 1}. Give prob of picking 1 b and 2 y.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3151 + 102?\nAnswer: 3253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-7)\/t))\/(t**(-6\/13)*t*t))**25\/((t**(2\/3))**(-22)\/(t**(-1\/2)\/t*t**(1\/4)\/t)) assuming t is positive.\nAnswer: t**(31037\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 24) + -3 + 2 + (0 - 14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 1:37 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6517 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -29949 and -29948 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -0.29, 0.152 in descending order.\nAnswer: 0.152, -0.29, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 280391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -14)\/(3 - 1). Solve 2*z - b = 7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + (6*(sqrt(19) + sqrt(76)))**2)*6.\nAnswer: 36914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -247640\nAnswer: 24764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/12)\/((-5)\/(-15)). Solve 4*u = -3*x - 3, g*x - u + 5 = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = l - 3*a, 3*a + 6 = 0. Find the first derivative of -8 + 47*c**4 - c**2 - 32*c**4 + c**l wrt c.\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -460595*v**2 + 1. Let d be a(1). Let s(h) = h**3 - h**2 + h + 270594. Let l be s(0). Let m = l + d. Round m to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -25.7. Let w = -2.1 + -23.7. Let q = w - s. Which is the biggest value? (a) -2\/5 (b) -4 (c) q (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(17) + -3 + sqrt(17)))**2 - (sqrt(153)*5 + sqrt(153)) - ((sqrt(204) - 1*sqrt(204)*-4) + sqrt(204))\/(-1*sqrt(768)).\nAnswer: -837*sqrt(17)\/4 + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12904110 and 1539.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01 and 56857133573.\nAnswer: 56857133573.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/3827 + -3114\/2728651. Is 0 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-480)*4)\/((-15)\/3)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133128?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(-4\/9)*n)*n)*n*n**(-4\/5))**(-18)*(n\/n**(-4\/7))\/n*n**4*(n**(1\/4)\/n)\/n**(-4) assuming n is positive.\nAnswer: n**(-809\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38.208884 and 7191.\nAnswer: 7152.791116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 2\/3*l**3 - 2 - 2\/5*l**5 + l**2 - 1\/2*l**4 + 0*l. Let h(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22388085 to the nearest integer?\nAnswer: 4732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 4, k: 3, z: 2}. Give prob of sequence kqbz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 5*x - 2*x + 2*x + 5, -4 = -4*p + 4*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 620.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 14*z - 286. What is h(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -20) + (-17 - -11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001708979109 to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**6\/6 - 23*r**5\/60 + r**2 + 17*r. Find the third derivative of f(b) wrt b.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*b + 360*b - 626*b - 13*b**3.\nAnswer: -13*b**3 + 60*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 0 - (16 - 10). Which is the closest to m? (a) -5 (b) 3\/28 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-4)\/(4\/1)) + 3. Solve 2*w - 4 = 2*h, 7*w - h + 4 = b*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716160869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -j + 15, d - 19 + 18 = -3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2081 and -18503224.\nAnswer: -18505305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*a*g*m**2 - 404006*a*g*m + 272899750*g*m**2 with respect to a.\nAnswer: 57*g*m**2 - 404006*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/9 - 10*l**4 + 78*l**3 + 330*l**2 = 0. Calculate l.\nAnswer: -3, 0, 15, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 - 4*s - 7. Let u(t) = t**2 + t + 2. Let l(g) = 21*u(g) + 6*x(g). Determine w so that l(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 141*n - 2. Let y(v) = 2*v**3 + v**2 - 3*v + 3. Let r be y(1). What are the prime factors of b(r)?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45952 - 19472. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:13 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {w: 1, c: 2, n: 2, e: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -28582*d + 28583*d - 3, 3*n + 4*d - 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 38*i - 362. Let q be f(8). Solve 0 = -3*d + 3*k - q, -5*k - 27 = 2*d - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*h - 210 = 0. Let f be h\/11 - (0 + 3). Solve -f*i + 2\/11*i**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76790 + -53071. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 - 35*s - 2103. What is the remainder when i(-43) is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16154 is divided by 557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0164291611 rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 6 = 3*l. Let w(c) = c**2 + 9*c - 2. Let t be w(-10). Let i = t - 1. Calculate the smallest common multiple of l and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 16. Let t be y(15). Which is the third smallest value? (a) -0.2 (b) t (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 41, -0.2, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x - 59*x = -25*x - 4*y + 8, 3*y - 15 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-1)\/(-4)*(-8)\/(-138)). Let c = z - -74. Suppose 130 = 4*d - 10. Calculate the highest common divisor of c and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13949)\/(-1508))\/(((-204)\/48)\/(-17))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 116 = -68 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/2129 + 25519\/61741. Let g(a) = -a - 13. Let n be g(-14). Does w = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -da7?\nAnswer: da4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8135061 to the nearest 1000.\nAnswer: -8135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94 and (15 + -2)\/((-1)\/(-2)).\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from eegebenwgqgqeeee?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3*t + l**3*u**2 + 58010*l**2*t*u - 48*l*t*u**3 - 348*t*u**2 wrt u?\nAnswer: 2*l**3 - 288*l*t*u - 696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22100001220100 (base 3) to base 11.\nAnswer: -2556409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bykrfbykbyy. What is prob of picking 1 k, 1 y, and 1 r?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7*i - 56 = 0. Let m = i - 25. Solve -h + 2*o + 7 = 0, -2*h + 4*h - m*o = 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2953.4*-215.\nAnswer: -634981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -875137b5?\nAnswer: 875137b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**3 - 66*h**2 - 1791*h + 19278 = 0.\nAnswer: -21, 9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26986695 and 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 - 5*j - 6. Let m(v) = v**2 - v - 1. What is c(o) - 6*m(o)?\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.495? (a) -3 (b) 37 (c) 16 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 713445 and 21?\nAnswer: 4994115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88155 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfd when three letters picked without replacement from {f: 4, d: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 861195\/22 + -39134. Let b = 145\/11 - q. Find the common denominator of 41\/6 and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1174*v + 4 + 2387*v - 1414*v.\nAnswer: -201*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1360 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stttyuyytutstss. What is prob of sequence yyu?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5280124ug in milligrams?\nAnswer: 0.0005280124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**5 + 9*s**2 - 12*s**2 - 5*s**6 - 2*s**5 wrt s?\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-10))\/(w*w**(-12)))**(-3\/5))**(-21))**(2\/17) assuming w is positive.\nAnswer: w**(2772\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v + 420 = 0. Let l(p) = 86 + 6*p - 3*p - 4*p - v. Let b be l(7). Let k(i) = -i**2 + i + 2. Let w(c) = 3*c**2 - 2*c - 4. Give b*k(r) - 2*w(r).\nAnswer: -r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 29955096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1996 - 2028 = 2*i + 2*r, -6*i + 5*r + 87 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 27*t - 32*t + 95 = 0, 5 = -t. Solve y*q - 108*q + 78 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*u + 95, -p + 4*u + 27 = -26. What is the third derivative of 20 + 17 + 27*a**3 + 18*a**2 - p wrt a?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1612922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 9361760?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1155, 177, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (-70)\/30)*6\/(-4). Factor 2\/5*n**3 + 54\/5 + 54\/5*n + 18\/5*n**y.\nAnswer: 2*(n + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 112276601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1927883091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 1 e when three letters picked without replacement from {e: 3, b: 1, a: 10, n: 1, p: 4}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 1 - 6 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2903, -5807, -8711?\nAnswer: -11615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 395*m**2\/2 + 643*m + 881. Find the first derivative of n(r) wrt r.\nAnswer: 395","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 27. What is the second smallest value in d, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/((-5)\/3). Let f = 0.17 - -6.83. Let u = -2 + f. Which is the closest to w? (a) -0.3 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r - 8*r + 6 - 12*r**2 + 2*r**3 + 4 + r. Is s(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0 + 15, 0 = k + 2*b - 137. Let z = 148 - k. Solve -4*p + z = 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*v + 248*v = -5, 39*r + 83 = v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*i + 186 + 209 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -11*b**6\/15 + 11*b**5\/4 + 2*b**3\/3 - 601*b**2. Find the third derivative of v(x) wrt x.\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 495\nAnswer: 494.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58240 and 28.\nAnswer: 58240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-145)*(-3)\/12*-2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/12)\/v**14 assuming v is positive.\nAnswer: v**(-169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 910614.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(18\/(-8)) + 4020 + -6. Let s(x) = 4010 - v - 2*x**2 + 4*x**2. Let n(d) = -7*d - 2. Let f(g) = -1. Let a(l) = -2*f(l) + n(l). Give s(a(m)).\nAnswer: 98*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 99868 (base 10) in base 6?\nAnswer: 2050204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2\/2 + 1675*y - 3355\/2 = 0.\nAnswer: -671, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*z - 34, 4*n = -0*z - 4*z - 64. Let x = -4 + n. Let w = x + 32. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -20\/137?\nAnswer: -20\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.066 + -76426500279.\nAnswer: -76426500278.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98809400 to the nearest integer?\nAnswer: 9940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 113 + -2?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1875*t - 191. What are the prime factors of m(2)?\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -53. Suppose l = 4*h - 5*j, 4*h = -0*h - 5*j + 78. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 14, 2\/33, -21 in decreasing order.\nAnswer: 14, 2\/33, -0.6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*g**3 - 5546762*g - 217*g**3 - 5546765*g + 11093527*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -644b + -4?\nAnswer: -6452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 + -23. Let s(w) = 2836*w**2 + 15*w + 16. Let q be s(-1). Suppose -6*v = -2927 + q. What is the greatest common factor of u and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + 61. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560*s - 43480 = 552*s. What are the prime factors of s?\nAnswer: 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -358*o**4 - o**5 + 358*o**4 + (-2*o - 3*o + 7*o)*(-o**4 - 2*o**4 + o**4) + 11*o**3 - 6*o**5 - 11*o**3.\nAnswer: -11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18081, 44878, 89539, 152064, 232453, 330706, 446823?\nAnswer: 580804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10394330*u - 3340544.\nAnswer: -10394330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/360 - ((-195)\/(-40) - 5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.084 * -2\nAnswer: 2.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2296*g + 70450 - 15346 = 0 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 12:42 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 49011 + 49011. Let a(w) be the second derivative of w**3 - 2*w. Calculate a(s(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 40, 72, 138, 250, 420?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13843*i - 3*w = -13845*i + 17, -3*w = 4*i - 33 + 8 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/12 + y**3\/3 + 5*y**2\/2 + 4*y. Let b be t(-2). What is the second biggest value in b, -7\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1981383 divided by 660461.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/12)\/4*18\/(-120)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8778 is divided by 8385.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-9))\/((-7)\/(-315)*30). Put -0.14, -13, -4, n in decreasing order.\nAnswer: -0.14, n, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and 106.\nAnswer: -18.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256492 + 256491 = -x + q, 0 = 5*x + 2*q + 23 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 13 - 3 = 0. Let g = -3.81556 + -0.18444. What is the nearest to y in 0, g, -3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72\/(-2)*24\/(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.438345ml to litres.\nAnswer: 0.001438345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 923 - 24982\/27. Find the common denominator of q and 1\/15*(-3431)\/(-94).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*j**3 - 2*a**3*j**2 + 27*a**3 + 938*a**2*j**3 + 7*a**2*j**2 wrt a?\nAnswer: 12*j**3 - 12*j**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.1. Suppose -5*j - 40 + 15 = 0. What is the smallest value in s, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 192523608*d - 62931231 wrt d.\nAnswer: 192523608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/3*(-66)\/(-77). Solve -3*b - 2*o = -19, -5*o + 17 = z*b - 4*o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 101 (b) 25 (c) 2\/3 (d) 0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 924, 1845, 2766, 3687, 4608, 5529?\n\"Answer: 921*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56.35 - 57. Let k = 0.25 + u. Let w = 0.4 + -0.3. Which is the closest to w? (a) 5 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*h = -406, -1015 = 4*y + y - 2*h. Let f = 1012\/5 + y. Let p = -20 + 18. What is the second biggest value in 2, f, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120100012101 (base 3) in base 2?\nAnswer: -1001001101101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**3 + 3*v**2 + v - 1. Is z(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3276668.\nAnswer: 2, 819167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204670 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -20, 9, -9, -16 in ascending order.\nAnswer: -20, -16, -9, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 661184 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 373*o. Let l(h) = 4429*h. Determine q(l(i)).\nAnswer: 1652017*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-20 - -16 - (-14)\/4). Solve -o + 32 - 27 = l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(3) - sqrt(3))**2 - (-3 + sqrt(108)).\nAnswer: -29 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 547\/5, 0.2, -3?\nAnswer: 547\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031 take away 43.95217?\nAnswer: -43.98317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 4*z + 882, -z = -2. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -3223?\nAnswer: -3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -18*o**2 + o + 2. Calculate t(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-12 - (1 - -2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/60 - 11*i**4\/24 + 47*i**3\/6 + 42*i**2. Let p be f(9). Which is bigger: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*n + 5*v, n + 0*v = 3*v. Let j be (n\/8)\/(18\/240). Let r be 486\/90 - 4\/j. Calculate the highest common divisor of 25 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 9*z + 20. Determine u(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 13594 (c) 0.13 (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**3 - 60*q**2 - 3*q + 21. Give m(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-116 - 5 - 86)*(4*m - m**2 - 4*m) in the form i + p*m + x*m**2 and give x.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42180\/(-47915)*37*(3\/(-4))\/(-3)?\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, 15, 52, 105, 174, 259?\n\"Answer: 8*p**2 - 3*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5724277*q**2 + 22035359.\nAnswer: 11448554*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93990924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10\/101, -20, 370, 0.2, -3\/5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 11*u**2 - 17*u - 24. Give h(-4).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/98112987 and 5\/3962?\nAnswer: 196225974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 402?\nAnswer: 1\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Suppose 2*b = -4*l + 6*b - 32, 0 = 3*l - b + 16. Let k(f) = -221*f + 433*f - 214*f. Give l*k(v) + 7*y(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - 2*f**5 - f**2 + (-4 + 2 + 3)*(-3*f**5 + 7 - 7 + (4*f**2 + f**2 - 3*f**2)*(f**3 - f**2 + f**2)).\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 28 (b) -3\/5 (c) 2\/9 (d) 5 (e) -0.0200257\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -60\/61?\nAnswer: -60\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2766972233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*u + 73*u + 42 - 36*u in the form o*u + l and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**2 - 26*j - 3. Let d be k(-2). Determine i, given that -8*i + 7 - 2 + d*i + 20*i**2 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -13.39.\nAnswer: 107.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3048.2661 minus 1317?\nAnswer: -4365.2661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 693126001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2 + 113*a + 4*a**3 - 112*a as s*a**3 + n + v*a + c*a**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, -5, 1 in descending order.\nAnswer: 19, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 2, 0*p = -2*l - 2*p - 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(-3*sqrt(35)\/sqrt(7)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2636?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 2 (c) -579482 (d) 3\/7 (e) 5 (f) 3 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 6. Let s = 187 + -187. Which is the closest to s? (a) x (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 415 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 4326*w + 2028185.\nAnswer: (w + 535)*(w + 3791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00248402511 to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u - 78. Let i(w) = -3*w + 39. Determine -4*f(p) - 9*i(p).\nAnswer: -p - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 + 5*v**2 + 19*v + 29. Is c(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27661 not equal to 27773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1250*t**3 + 2*t**2 - 9*t + 8. Let f be (-1)\/2 - 36\/(-24). What is the hundreds digit of z(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 21 - 24 - 9 - 13*o + 83.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x - x)*(2*x - x - 2*x - 3).\nAnswer: x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/2837?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 + 1.87. Which is the third smallest value? (a) -1\/21 (b) 3\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4480805 divided by 7.\nAnswer: -640115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.35301 to 2 dps.\nAnswer: 16.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.904 - 0.096. Let q = -57.6 - i. Round q to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*w - 55, -5*c = -w + 5*w + 91. Let g be 6\/c - (-54)\/10. Sort g, -2, 2.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55274257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-1 + -3 - sqrt(396) - sqrt(396) - (5*-2*sqrt(77) + sqrt(77))\/sqrt(7))**2 + 5.\nAnswer: 54*sqrt(11) + 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - -29 - 3\/6 and 39\/97.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 96?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 697086864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151 - (1 + 1 - 6\/3)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9855.4 - -9843.6197. Round i to 1 dp.\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2280025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w + 2. Suppose u - 29 = 5*t, 4*t + 131 = 3*u - 0*u. Let q = 87 - u. What is the remainder when q is divided by x(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2379, -3253, -5629, -10257, -17887, -29269?\nAnswer: -45153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a97 (base 12) in base 2?\nAnswer: 11000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-3\/10))\/(o\/(o*o**(-6)*o*o*o)) assuming o is positive.\nAnswer: o**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1692 + -1690. Let q(f) be the second derivative of 1\/110*f**5 + 0 + 0*f**j - 2\/33*f**3 + 18*f + 1\/66*f**4. Determine l so that q(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 11051.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2. Let d = -48 + 53. Let b(x) = 148 - d*x - 148. What is b(p(c))?\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11688*g*i*v**4 - 20*g*i*v**2 + 2*g*v**4 - 24*g - 2*i wrt v?\nAnswer: -280512*g*i*v + 48*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2607 + 1707. Let h = n - -17085\/19. Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 + 23*r + 8. Calculate l(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2.2, -0.664 in decreasing order.\nAnswer: -0.664, -2.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, m: 7}. Give prob of sequence mmmx.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 13*o**2 - 13*o**2 + 0*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4936 (base 11) in base 13?\nAnswer: 2c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3050670, 6101342, 9152014?\n\"Answer: 3050672*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -32, 3, -12, -383 in increasing order.\nAnswer: -383, -32, -12, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 3*l**2. Let q(s) = s + 3. Let d be q(-6). Determine v(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 29. Give b(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-1) + 203)*11. Let t = -27843 - m. Let d = t + 15354. Round d to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264407932 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 691961322 to the power of 1\/2, to the nearest integer?\nAnswer: 26305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-4 - (2 + -10))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9614*y + y**4 - 9616*y + 0*y**3 - 19 + 4*y**3 to the form d*y**3 + c*y**2 + l*y + n*y**4 + b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 0 + 0)*(5*w - 5*w - w) - 24*w**2 + 38*w**2 + 37*w**2 + 4*w**2 + 104 - 4*w - 2*w**2 - 102 as s*w + m + b*w**2 and give b.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 88985, 88693, 88401, 88109, 87817, 87525?\n\"Answer: -292*g + 89277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024805 rounded to four decimal places?\nAnswer: 0.0248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 7*a - 3. Give i(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**2*p**4 - 12*b**2*p**2 + 537*b**2 wrt p.\nAnswer: -20*b**2*p**3 - 24*b**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjqgdjqjgjfdfdtg. Give prob of sequence tgt.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h**2 - 413*h - 82. Calculate the least common multiple of 9742 and v(32).\nAnswer: 68194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -1101211113000?\nAnswer: -1101211112313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*c + 29. Let t = -33\/2 + c. Let k = -0.09 - -0.1. Is t greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23230 (base 5) to base 14\nAnswer: -88a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 5*w - 3*w)*(w - w - 22*w)*(51337 - 363*w - 51337) in the form x + j*w + m*w**3 + b*w**2 and give m.\nAnswer: -7986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6696360\/(-5035) + 6\/(-159). Put -2, u, -1 in decreasing order.\nAnswer: -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 + f**2)*(1 + 2*f**2 - 1) - f + 2*f**4 + f + 0*f**4 + f**4 + 6*f**4.\nAnswer: 11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1156567 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 5. Let o(u) = 2*u + 10. Let f(h) = 5*j(h) + 2*o(h). Let g(q) = 18*q - 4*q + 9 - 12*q. Determine -5*f(y) - 3*g(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 196090 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*p + 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s**2 + 2*s)*(3 - 3 - 3*s) + 29*s**2 + 4*s**3 - 29*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 2326399 and 2326411 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-6)*642\/535?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4434*r - 17365 = -4063 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 - -5474?\nAnswer: 5512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 2:55 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5\/4 + 89*f**4 - 3131*f**3\/4 + 694*f**2 = 0 for f.\nAnswer: 0, 1, 8, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/1 + 4974\/42. Let n = c + -115. Let q = 42 + -42. Sort q, n, 1 in decreasing order.\nAnswer: 1, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4)\/(213796\/2373 + -90).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 4557.\nAnswer: 10\/4557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*l + 203612, 7*i - 5*l = 11*i - 203604. Is 119 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2 - 6*q - 4. Let p = -35 + 17. Let j = p + 17. What is the least common multiple of 30 and f(j)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1351.8 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11519 + 11518.99982284. Round j to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - -0.9. Let j = 1.3 - v. Which is the smallest value? (a) -0.3 (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 0 (c) -624\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*t**4 + 35*t**4 + 8*t**4 - 155*t**2 - 2*t to k*t + p + y*t**4 + q*t**2 + h*t**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxw when three letters picked without replacement from wuwwwwwwxww?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24921794 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1) - (-4 - 103\/(-21)). What is the second smallest value in i, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 8*q - 4. Give z(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 818788*v\/3 + 167603447236\/3.\nAnswer: (v - 409394)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 7. What is v(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:10 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 164 in ascending order.\nAnswer: -5, 2, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/z**(2\/13))**(-38)*(z**(-1))**6*(z**(2\/7))**(-13) assuming z is positive.\nAnswer: z**(20396\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/6)\/(1\/4). Let q = -1285\/11 + 117. Let u = -94977\/5 + 18996. What is the closest to u in 0, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) 6.5 (c) 5 (d) -18\/205\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 3*u**2 + 3*u. Let q be t(2). Let g(f) = f**3 - 13*f**2 - 13*f - 17. Let r be g(14). Let b be ((-10)\/(-8))\/((-3)\/r). Is q bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((126\/(-189))\/(16\/27))\/(12\/(-8))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 88 = 19*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 71, 79, 87?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6)*10)\/(34\/51)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/5244763 and 89\/8.\nAnswer: 41958104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(14\/(-616)*4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h + 11. Let l(m) = 3*m - 5. Let k(c) = 2*f(c) + 5*l(c). Let j(d) = 4*d - 3. Give 6*j(o) - 5*k(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 2:52 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) 0.3 (c) -0.419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 7)\/(3 - (-56)\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 + -60. What is the remainder when j is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23760333 is divided by 5337.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5361 and 57924.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 9*y**3\/2 - 55*y**2\/2 + 30*y. Is j(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-22))\/(624\/(-858))*40\/(-35)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625778101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12305 is divided by 164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1036285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*o**3 + 40*o - 82*o**3 - 40*o.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a factor of 539994936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1d4 (base 16) to base 4\nAnswer: -13110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) - (-721)\/(-21). Let a = 16 + x. Let t be 3\/44 - a\/99. Put t, -0.4, 0 in increasing order.\nAnswer: -0.4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 114 + 120. Solve 7 - h = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 6:51 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8575 divided by -5?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -275 - -180. Let l be (-2)\/(-8) + k\/(-20). Suppose 0 = h - l*h. Solve h*r - 3*r - 2*t + 14 = 0, r - 5*t + 1 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503802491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11740\/3, -2\/9, 5, 2\/5, -8 in ascending order.\nAnswer: -11740\/3, -8, -5, -2\/9, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**3 - 52 - 3*k**2 + 17 + 37 + 13*k**2 as z*k + w*k**3 + l + d*k**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 17*h - 40. Let l be z(10). Suppose -2*f = -706 - l. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a - 35*a - 5*w + 65 = 0, -5*a + 11 = -w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11526 to the nearest one hundred.\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqzkbbvs. Give prob of sequence bsk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 421 divided by -1\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d - 645. Let r(g) = g - 55. Give a(b) - 12*r(b).\nAnswer: -24*b + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-6)*(-40)\/(-6). Suppose 31 - c = 3*k. Solve 0 = -3*g + k - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/10 - (-1430)\/1300. Let j = 7 - 7.3. What is the second smallest value in o, j, -3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/7 and -47\/904543.\nAnswer: 6331801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 6}. What is prob of sequence znn?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -421.3 - 34.7. Let z = 457 + f. What is the nearest to -0.3 in 0, -4\/9, z, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264276385.59999895 - -264276376. Let r = -9.6 - v. Round r to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -40. Let m(n) = -n + 11. Let s(a) = 6. Let f(q) = -3*m(q) + 5*s(q). What is the least common multiple of f(5) and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k**2 + 0*k**2)*(1 + 0 + 0)*(7*k + 2*k - k).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3\/5 (b) 3 (c) -36\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 30160, -98 in ascending order.\nAnswer: -98, -9, 30160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (0 + -2))*1. Let i = -5.23 + -215.77. Let o = -220 - i. Which is the nearest to o? (a) -2\/13 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 35484.\nAnswer: 532260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204987.\nAnswer: 3, 68329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4698833 divided by -1109.\nAnswer: 4237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 11. Let i(s) = -4*s - 15 + 26*s + 2*s + 48*s - 12*s. Does 15 divide i(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i**2 - 2340*i + 2341. Calculate y(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + 0.1. Let y = 0.1 - x. Let d be ((-4)\/168)\/(1\/(-4)). Which is the nearest to 1? (a) d (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/1)\/(12\/32). Let y = 42 + s. Calculate the lowest common multiple of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3584, 4126, 4676, 5234, 5800?\n\"Answer: 4*y**2 + 530*y + 3050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9777 + 29325 - 9773 + 12006*x - 9775.\nAnswer: 12006*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-62))\/(1\/4). Which is the closest to -1\/2? (a) 4 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, y: 2, c: 5, g: 1, x: 3, a: 1}. Give prob of sequence ykxa.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/1196 and -61\/26?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152 + 178. Suppose 4*u = 4*k + 8, 5*u + k - 33 = u. Suppose -4*x - i = -u*x. List the prime factors of x.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-2)\/(-1) + 0. Let v = 11 + 2. Let u(y) = -y + 12 - v + 8*y**3 - y. Calculate u(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.91, 6, -0.4, 2, -2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/7 + 19*d**4 + 19553*d**3\/7 - 21761*d**2\/7 - 317344*d\/7 - 393380\/7 = 0. Calculate d.\nAnswer: -89, -2, 5, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74795 + 74813. Let w(u) = -14 + u + 18*u**2 - u**3 - 6 + 5. Determine w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 - ((-489570)\/12)\/(20\/880). What is h rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/853 + 91311\/8530. Calculate the common denominator of u and 43\/1900.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -35070*a + 10626209. Calculate z(303).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 910531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 10*o**2 - 10*o - 4. Let n be h(9). Let x = n + 18. Find the third derivative of w**6 + x*w**2 - w**6 + 3*w**6 wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 4*a**2 + 3*a - 6. Let t be h(-6). Let c be (t\/15)\/(3\/30). Let b = -19 + c. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/819*18*(-245)\/(-20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-88) + (-22)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14041012\/105 + -649027\/5. Let l = 3922 - c. Let p = -142\/15 + 9\/5. What is the common denominator of l and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17694055 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-47)\/188 + (603\/12 - 2). Solve u*j + 14 = -34 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-240)\/140*(-42)\/(-9) - -10. Calculate the highest common factor of 1366 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254043400 rounded to the nearest one hundred thousand?\nAnswer: 254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 1651.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1458 + 2450 + 120 + 1904)*(-m + m + m**2) in the form n*m**2 + t + j*m and give n.\nAnswer: 5932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 + 21*x**2 + 12*x**2.\nAnswer: 46*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 6*c**2 + 0*c**3 + 0*c**3 + 14*c - 11*c - c**3 - 4 in the form f + l*c**3 + z*c + y*c**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + 201?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9 - (-1 + (-32)\/12). Suppose 6*x - x = t - 10, 0 = v*t + 2*x - 128. Let a(s) = 10*s. Let k be a(2). What is the greatest common factor of t and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67784 - -67789. Let w(i) = i - 4. Let n(c) = -2*c + 9. Suppose j = 4*l + 17, l + 4*l + 10 = -j. Let p(y) = l*n(y) - 5*w(y). Give p(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36845580 divided by -6140930\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(66\/(-4))\/((26691\/164)\/31).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -13*l + 40. What is the second derivative of -4*v**2 + 2*v - 1 - 5 + 22*v**l - 8*v**2 wrt v?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -683 - -3378\/5. Let j be (-630)\/(-4)*(-228)\/(-2185). Let x = -997\/230 + j. Find the common denominator of k and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + s + 4123, 5*s - 2*s - 4143 = -3*b. Suppose 5*r - g = 6800, r = -0*r - 3*g + b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0043586 rounded to five decimal places?\nAnswer: 0.00436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 4*k - 3*q - 132, 3*k = -q + 38. Let p = -22 + -7. Let i = p + 55. What is the remainder when i is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -267*j + 283*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13358 is divided by 3339.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {a: 1, d: 2, j: 4, k: 6}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3\/7 (b) -0.2 (c) 0.02 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13020*y**5 + 4*y**3 - 748*y**2 + 6 wrt y?\nAnswer: 781200*y**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 9. Let l be j(-14). Let y(w) = w**3 - w**2 - 3*w - 3. Let q be y(-3). Let n = q + 65. What is the highest common factor of n and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -541.9 - -540.9. What is the nearest to 3 in -7, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = -276*c + 328*c. Let h = -388 + 640. What is the highest common factor of h and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -363123 and -5636.\nAnswer: -368759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 226, 457, 694, 937, 1186, 1441, 1702?\n\"Answer: 3*r**2 + 222*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00315 to 4 dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 8. Let x(a) = -a**2 - 6*a - 6. Let f be x(-6). Let v = f + 9. What is the lowest common multiple of v and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*b - 305, 110*f + 57 = 111*f - 3*b. What is the greatest common factor of 2205 and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z**2 - 197*z**2 + 29*z**2 + 19*z**2 + 100*z**2 + 26*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 19, -27, 3, -12.\nAnswer: -27, -12, -5, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-49) + (-138)\/(-315). Sort h, 13, 2.\nAnswer: h, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w + 15. Is m(5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2167620521 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 3*z**2 - 2*z - 23. Determine c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25138 + -57628. Let p = b - -32461.343. Let k = p + -0.143. What is k rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20729640 divided by -12\nAnswer: -1727470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 3*f**2 - 4*f + 6. Let i(u) = -u**3 - 2*u**2 + 4*u - 5. Let p(c) = -3*a(c) - 2*i(c). Is 2 a factor of p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167486.\nAnswer: 2, 11, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o - 12. Let l(a) = -a + 1. Let t(d) = 4*d + 22. Let g be t(-5). Determine g*w(q) + 22*l(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 36*s + 14. Let t(n) = 10*n + 4. Let m(k) = 2*r(k) - 7*t(k). Let w(v) = -115*v**2. Calculate w(m(l)).\nAnswer: -460*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppkkovniii. What is prob of sequence kpv?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -668*b - 1486. Let r(x) = -x + 15. Let i(f) = d(f) - 3*r(f). What is the derivative of i(z) wrt z?\nAnswer: -665","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d + 5*d + 5*d - 4*d**2 + 8.\nAnswer: -4*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5952417 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -7467\/5222 + 1\/746. Are n and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 655*x**2 - 11788*x. Let f(i) = -2*i. What is y(f(q))?\nAnswer: 2620*q**2 + 23576*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*r**2 - 10*r**2 + 12 - 12*r**2 - 24*r**2 + 14 - 13*r**2.\nAnswer: r**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -403 + 24 - (1 + -9). Let t = n + 525. What is the least common multiple of t and -22*-1*2\/2?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 485256, 485797, 486326, 486837, 487324?\n\"Answer: -q**3 + 548*q + 484709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175262899.\nAnswer: 337, 3487427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + l = -0*l + 5, 2*l - 10 = j. Suppose j = -5*y + 5. What is the highest common divisor of 9 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -2352, -7967, -18918, -36987?\nAnswer: -63956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18677, -75210, -169431, -301340, -470937, -678222, -923195?\nAnswer: -1205856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-240)\/400)\/(117\/(-1040))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 5*q**3 + 7*q**2 - 2*q**2 - 28*q**3 - 5*q**2.\nAnswer: -33*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1656 and 11274462.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 3*g + 2. Let o(t) = t**2 + t. Determine -4*c(l) - 12*o(l).\nAnswer: -8*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 3*k - 16, -5*k = -2*x + 147 - 139 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -209\/7 or -31?\nAnswer: -209\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 4, -6790 in decreasing order.\nAnswer: 4, -2\/9, -6790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + b - 4*b + 324, 0 = -3*x - 2*b + 481. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*r**3 + 348*r**3 - 3 - 104*r**3 - 85*r**3 + 3.\nAnswer: 58*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3150 by 3.\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6166*s - 181769 - 521155 = 0 for s.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20 (b) -4\/5 (c) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-48)*1650\/22.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -2 - (-6 - -8) - (439 + -404)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/15)*w)\/((w\/w**(-4\/9))\/w*w) assuming w is positive.\nAnswer: w**(-23\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(4 - (-50)\/(-11)). Let x(v) be the first derivative of -2*v**2 - 14\/5*v**5 - 1 - c*v**3 - 8*v**4 + 0*v. What is m in x(m) = 0?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(-11\/4)*m)*m*m**(-3\/4)*(m*m\/((m*m\/((m*m\/(m*m**(-9)))\/m*m))\/m))\/m**(4\/7) assuming m is positive.\nAnswer: m**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 4. Let r be p(4). Let y(m) = -m - r - 29*m**2 + 8 - 5*m - 2. Let z be y(-6). What is z rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -7. Let o = 3 - m. Suppose g - o = -g. Solve x + 6 = -3*a, -x - 7 = g*x - 5*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -653 - -4570\/7. Suppose 0 = 3*i + 3*z - 3, 4*i = -2*z - 4 + 16. What is the closest to 1 in k, i, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/(1 - -3 - 2). Let q = 30 - -5. Let s = k + q. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 269967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1077245 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100002210210 - 201?\nAnswer: 100002210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 870107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22720926*o**2 - 25903340*o?\nAnswer: 45441852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*o + 234*o - 217 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 325119779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(9 - (-11655)\/(-1296)). Solve v*c - 71*c - 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-18))\/((-2)\/3). Let p be (0 + j)\/(8\/3280000). Round p to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 430, -0.02, -1\/4, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d - 2. Let k(j) = 13*j + 5. Let z = -43 + 48. Give z*h(x) + 2*k(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -0.5 (c) 5 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -52c6?\nAnswer: 52c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -15*s. Suppose 0 = -4*r + 2 + 518. Let i(b) = 129*b + r*b - 260*b. What is i(x(h))?\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 52 and 41.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26862 by -814.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 7*w**2 + 4*w - 24. Let t be f(7). Suppose 9*x = t*x + 245. Let m = 12 + x. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - r**2 + 6*r**2 - 3*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from igggimmmmiqmmmmiq.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i - 251271*i**2 - 325363*i**2 - 20*i + 41*i.\nAnswer: -576634*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 14*b = 0. Solve 3*j - 3 + 0 = b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 3\/2, 0.4372, -2\/17 in ascending order.\nAnswer: -5, -2\/17, 0.4372, 3\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Put 5, c, -3 in decreasing order.\nAnswer: 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 50*z - 214. Let p be n(5). What is the units digit of (-35243)\/(-78) + (-30)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -0.7, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 - 1 = -4*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5796, -46240, -156026, -369828, -722320, -1248176, -1982070?\nAnswer: -2958676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from nnonnnnnnnnnonnnnnn.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -18507656600?\nAnswer: 18507656599.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 - 6*f - 4. Let g(h) = -h**2 - 3*h - 2. Give 5*g(u) - 2*w(u).\nAnswer: u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -40*r - 39. What is the units digit of u(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1492*j + 1143*j + 58632. What is the remainder when 13607 is divided by j?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -704 + 721 + (1 - -2 - 0)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -x - 8. Suppose -x*b = b - 10. Suppose -787 = -5*h + b*s - 297, -4*h + 409 = -5*s. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347262 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: Sort -0.3, 7330, 4, 0.\nAnswer: -0.3, 0, 4, 7330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let f(n) be the first derivative of 62 + 0*n + 3\/2*n**2 - 10\/3*n**3. Calculate f(b(i)).\nAnswer: -10*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/20 + j**4\/8 - 13*j**2 + 7. Let l(k) = k**2 + k. Suppose -n - 10 = -3*n. Give n*l(m) - 2*c(m).\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-3 - (4 - 6)) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 4 + (-9 - -2). Sort d, 2, 4 in decreasing order.\nAnswer: 4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 931291 and 1143?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113602989, 227205980, 340808971?\nAnswer: 454411962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594234093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*x**3 - 1058*x**3 + 259*x**3 + (4*x - 2*x - x)*(-x**2 + 2*x**2 - 2*x**2) + (x + 0*x + 0*x)*(2*x**2 - 2*x**2 + 3*x**2).\nAnswer: -878*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-158)\/(1\/1*-3)*886\/1772?\nAnswer: 79\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 39 and 35.7345 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438661.42 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/2 - 2*u**2 - 12*u. Differentiate f(i) with respect to i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5222652 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(12\/7)\/l*l**(-9\/5) assuming l is positive.\nAnswer: l**(-3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 - 0) - (4 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07058776714509 and 5.\nAnswer: 4.92941223285491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.93743461 to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = 26*f - 3*f + 186 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -506 - 168937?\nAnswer: -169443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42554.\nAnswer: 2, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22160)\/1230 - 72\/(-4). Is d less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -18 + 4 + (-15 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/479 in 1\/3, -2\/11, -0.2, 1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10203 + 10850. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6741314 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(325) + -1) - (sqrt(325) + (sqrt(325) - (sqrt(325) + 0)))*4) + -5)**2.\nAnswer: 140*sqrt(13) + 1349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/9*(-36)\/8. Solve 4*f + r*y + 12 = y, -f - 8 = 3*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226799016757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o**3 + 2*o**2 - 4*o + 2. What is x(2)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*40\/20\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:59 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*d - d + 7*d)*(3 - 2 + 1).\nAnswer: 68*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14245834*u**6 + 26*u**3 + 243734063*u**2?\nAnswer: -1709500080*u**3 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030\/(-28)*(-16)\/40?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**(-1\/2)\/q))\/q)\/(((q*(q**(-8)*q)\/q)\/q*q)\/q)*((q**(-3\/2)*q)\/q)**(1\/13) assuming q is positive.\nAnswer: q**(96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - c + 1 - c - 2*c - 2*c - c + 5*c + 0*c + (-3 + 6 - 4)*(0 + 0 + 2*c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1795 + -10681\/6. Calculate the common denominator of -97\/4 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 45 - 13*k + 37*k - 49 + 10*k.\nAnswer: 34*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 17*y - 860 - 5*y + 852. Let o be x(2). Find the third derivative of -18*d**4 + 19*d**2 + 11*d**5 + 34*d**4 - o*d**4 wrt d.\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*i + 49, 0*u - 3*u + 66 = 3*i. Let s = i + -11. Let b be (-9)\/s*(-30)\/9. Which is smaller: b or 6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -32*d**2. Let p(x) = 32*x + 1. Let i(m) = -11*m. Let c(w) = 17*i(w) + 6*p(w). Let l(j) = -11*j - 13. Let h(t) = -13*c(t) - 6*l(t). What is h(s(v))?\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 6 - (7 - (-2 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h + 7*h + 4*h. Let n(c) = 5 + 6 - 109*c - 11 + 92*c. Give n(j(d)).\nAnswer: -68*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 19*a - m = 0, -m + 1 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 157345947 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 (-5*4*sqrt(304)*-2 + -3)**2.\nAnswer: -960*sqrt(19) + 486409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 1:36 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2. Let s(z) = -20*z. Determine s(g(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 5*s**2 + 12*s - 8. Let g be h(4). Let u = g - 89. What are the prime factors of 1825\/35 + u\/7?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t**2 + 6 - 19*t - 6*t**3 - 2*t**2 + 2*t**2 + 5*t**3. Let x be v(-4). Solve -2*b - x*a + 6 = -0*b, 2*b = -3*a + 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 3*l**2 - 2*l - 4. What is the remainder when 69 is divided by j(5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from hxgxxggxghhxxxxhxxy?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2049, 2045, 2039, 2031, 2021, 2009, 1995?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4576, 9137, 13698?\nAnswer: 18259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 699 - 1?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.751916t to grams.\nAnswer: 6751916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 3*r**2 - 4*r**2 - 13*r**2 + r**2 + 0*r**2 + (5*r + 2*r - 5*r)*(25*r - 15*r + 2*r).\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 259?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 + -1) - (-13 + 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 8*b**2 - 2*b - 18. Let v be z(-8). Are -28\/9 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 2*y + 4. Let d be h(2). Is -9 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -11*x**3\/3 - x - 101. Let v(b) = -b**2. What is q(a) - 5*v(a)?\nAnswer: -6*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(1*sqrt(98)) - (sqrt(66)\/sqrt(54) - (sqrt(176) + 0)))**2.\nAnswer: 70400\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 3*n = 3*n. Let d be (-8)\/(-77) + (-2)\/(-11). Determine x, given that n - d*x**2 + 4\/7*x = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d. Suppose d*j = -j. Suppose -z = -j*z - 42. Calculate the remainder when z is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 0.1, 12\/43, 0.5, -4 in increasing order.\nAnswer: -4, -4\/5, 0.1, 12\/43, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10 - 2*i + 2 + 3. Let f be a(15). Let c = 17 + f. Solve g = -3*j - 2*g, 0 = -4*j - c*g + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 6*z = 116, -9*g - 8*g - 1862*z = -1859*z + 607 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65.99918 - 66. What is m rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5753, 0, -0.205 in ascending order.\nAnswer: -0.205, 0, 5753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5375*h + 166593. What is k(31)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/24 + ((-5)\/(-3))\/5. Let a = -0.196 - -0.296. Sort r, a, -0.2, 2\/7 in decreasing order.\nAnswer: r, 2\/7, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297 and 730809?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**6\/120 - z**5\/60 - 11*z**3\/6 - 7*z**2 + 16. Determine c(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.62 - 0.16. Let j = s - -0.78000043. Round j to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 4*q**2 + 2. Let i be g(2). Let x = -10 + i. Solve -13 = c - 4*u, x = 2*u - 2 - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 152594*g + 152592.\nAnswer: 2*(g - 76296)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 892 = -303*b + 39 - 56. Suppose 0 = 3*k - 3*h - 0*h, 5*k = -2*h - 28. Let z be -1*(-2 + 1) - k. Put 3, 2, z, b in decreasing order.\nAnswer: z, 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-3 + 34\/8). Suppose -z*y = -6*y. Suppose y = i + i - 6. Let m(p) = -2*p**2 + 3*p. What is m(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1282, 2244, 3208, 4174, 5142?\nAnswer: 6112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 159*(6 + (-32)\/6). Find the second derivative of o**4 - 2*o + 23*o**4 - 105 - o**3 + v wrt o.\nAnswer: 288*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = -3*o + 3*n, 0 = 2*n - 2. Solve s + 2*w + 6 = 1, -o*s + w = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = 4*p - 8*b, -5*p + 2 = -4*b. Let j be (p\/(-8))\/(1\/(-20)). Let n be 140\/(-3)*(-24)\/j. Calculate the greatest common factor of n and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5124, -1, 461 in increasing order.\nAnswer: -1, 5, 461, 5124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 385633701 to the power of 1\/3, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wywy when four letters picked without replacement from {w: 4, d: 3, y: 5}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 48, 2, 3\/4, 31\/4?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let h(m) = -10*m + 137. Let k(i) = -10*i + 165. Let f(j) = 6*h(j) - 5*k(j). Determine -f(r) + 3*u(r).\nAnswer: 7*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.06 - 73.64. Let p = 81.9 + k. Which is the nearest to 1? (a) p (b) -2 (c) 0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 4:17 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*l + 9, -2*j - 5*l - 37 = -6*j. Suppose 25 - 4 = j*r. Calculate the greatest common factor of 70 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*j*o**3 + 2*j*o**2 + 45730*j*o + 3*o**3 + 51*o**2 - o - 4586 wrt j.\nAnswer: -28*o**3 + 2*o**2 + 45730*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + (1*sqrt(1216)*1)**2 - sqrt(1216)) + 0.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j = -25. Let d be 4\/3*(-27)\/(-6). Suppose -d = -2*a - 14. What is the smallest value in a, 0.1, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 948100\/(-3405675) - (1\/3 + (-8)\/21).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by ((-728)\/84)\/(2\/(-6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -374, -394, -396, -380, -346, -294, -224?\n\"Answer: 9*s**2 - 47*s - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2 + 2)*(10*u**2 + 17*u**2 - 29*u**2).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 8 = 15*l. Let c be (194 + 12)*3\/l. Suppose 0 = 3*z - 2*d - 187, 2*d = 5*z - 2*d - c. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - c + 14 = 0. Let r(i) be the second derivative of 0*i**c + i + 0 + 0*i**3 - 1\/6*i**4. Let d(x) = 5*x**2. Give d(r(p)).\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 2*t - 2*p, 2*p = t - 3*p - 111. Find the third derivative of -91*j**3 + 17*j**2 - 11*j**4 + t*j**3 + 0*j**4 wrt j.\nAnswer: -264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-42))\/(4\/24)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -91*p + 283. Let x be z(3). Let w(l) = -l**2 + 8*l - 2. Let n be w(7). Solve 2*h = h - 2*t + 2, -5*h = -n*t - x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = w, 0 = 3*p + 5*w + 8. Let b be 1656*(10000\/p)\/(-2). Round b to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 25*g - 28 + 102. Let k(j) = 5*j**2 + 6*j. Let a(y) = -6*y**2 - 7*y. Give g*k(s) - 6*a(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.46 + 0.468. Let f = 0.022 + l. Which is smaller: f or 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-31)\/15)\/((-1)\/3))\/(-6) and 97\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 13867.\nAnswer: 13854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, 6665, -5 in ascending order.\nAnswer: -5, 140, 6665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b428 + -3?\nAnswer: b425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**9\/126 - 2*o**7\/105 - o**5\/10 - 5*o**3\/6 + 2*o**2 + 22*o. Find the third derivative of g(a) wrt a.\nAnswer: 480*a**3 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928315 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-244)\/(-793))\/(56\/52)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7 = -2*v. Find the third derivative of v*o**3 + 32*o - 2*o**2 - 32*o - 7*o**2 wrt o.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 43 (b) -330\/71 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/((-9)\/12). Let l(x) = 2*x + 2. Let g be l(-3). Sort o, g, 2 in descending order.\nAnswer: 2, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((-738)\/18))\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4681330*j**6 + 2392370*j**2.\nAnswer: 561759600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 3668\nAnswer: -3668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1295164 - 94.8781836. Let j = 105 + -200. Let w = j - k. Round w to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4571*x + 9504. Give z(2).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l, 0 = 5*v - 0*v - 2*l + 74. Let o be (v\/(-7))\/((-4)\/10). Let b = 10 + o. Solve -d + b = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 5*y - 3. Let u be h(4). Let q be (-5320)\/(-224) - 2\/(8\/(-5)). What is the highest common factor of u and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -0.58\nAnswer: 0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2016 and 153.\nAnswer: 34272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 11 = 2*v, -q + 5*v = -13 + 5. Suppose q*o + 9*l - 2516 = 10*l, 0 = 5*o - 4*l - 4191. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 12. Let s be a(-14). Suppose b - s = -p, -4 = -5*b + 3*p - 2*p. Solve -b = -2*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103301 is divided by 224.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**3 - 2*c**3 + 3*c**3)*(3 + 1 - 2) + c**3 + 4*c**2 - 4*c**2 - 200*c**3 + 26*c**3 - 49*c**3 to q*c**2 + y*c + n + l*c**3 and give l.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzuk when four letters picked without replacement from ukztku?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 3:26 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3014*z**2 + 4*z = 0.\nAnswer: -2\/1507, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 52. Let c = -35 - d. Calculate the highest common divisor of 80 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 447 and 664689?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.241 and 0.0432.\nAnswer: -0.0104112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 4*t = -2*x + 31, 0 = -x + t - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**3 + 18*t**2 + 12*t - 11. Let l(p) = 3*p**3 + 9*p**2 + 6*p - 6. Let v(q) = 5*l(q) - 2*u(q). Determine v(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((-807)\/(-57) + 3) - (12 - 25600\/2090)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:20 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7 + 7*q - 4*q - 9*q. Let b be m(-1). Which is bigger: b or -4\/37?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o. Let f = 3 - o. Suppose -c + 4*x = f*c - 64, 5*c - 98 = -4*x. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -92486c?\nAnswer: 92486a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4248*x + 129746 + 599040 = -8012*x + 115786 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 5*c**2 - c + 4. Let l be (8\/12)\/(4\/(-18)). Let n be q(l). Is -12 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**9\/(s*s*s**(-16\/7)\/s) assuming s is positive.\nAnswer: s**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 75 = 0. Let m = p + -115. List the prime factors of m\/(-4) + (-2)\/(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -448 and 0.065391.\nAnswer: -29.295168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let x = -1.797 - -0.057. Let q = x - 0.26. What is the closest to q in 3, -2\/21, y?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 14*x**2 + 17*x + 4. Let u(v) = -472*v + 2345. Let d be u(5). Calculate r(d).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 5:53 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = -6. Let t(a) = 4*a**2 + 2*a - 2. Let v(o) = -7*o**2 - o - 7. Let l(u) = 5*u**2 + u + 4. Let m(p) = -8*l(p) - 5*v(p). Give h*m(x) + 3*t(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 61, -1978, 947 in ascending order.\nAnswer: -1978, -4, 61, 947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 5*o = 13*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*g + 1905, 5*w + 2*g - 844 = 1546. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2690, -2747, -2842, -2975, -3146?\n\"Answer: -19*d**2 - 2671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/64695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -71*k**8\/336 - k**4\/4 + 2*k**3\/3 - 48*k**2. Find the second derivative of t(f) wrt f.\nAnswer: -1420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 211 - -7464?\nAnswer: 7675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -5*v + 11, 119*v = 123*v - k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 12) to base 8.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9728393 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -261.5*165\nAnswer: -43147.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 2665*x + 132 - 1349*x - 1336*x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 7*t**2 + 10*t + 2. Let g be q(5). What is the first derivative of 3*b**4 - 14*b**4 - 3*b**2 + 8*b**4 - 162 + g*b**2 wrt b?\nAnswer: -12*b**3 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 10415*g - 10410.\nAnswer: -5*(g - 2082)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgj when three letters picked without replacement from {j: 4, g: 1, w: 8, b: 7}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {r: 1, z: 5, q: 7, b: 2, g: 4, o: 1}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248814 and 4140?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.49 - 7.9741. Round p to 2 decimal places.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45511 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3577010, -3577008, -3577004, -3576998, -3576990, -3576980?\nAnswer: -3576968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a microsecond in nanoseconds?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103623*g**3*s + 3*g**3 + 2*g*s - 217*s + 1157 with respect to g.\nAnswer: 310869*g**2*s + 9*g**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:04 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, c: 1, j: 4, g: 1, m: 2}. Give prob of picking 1 j and 1 g.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 + 38*l - 16. Let o(r) = -r**2 + 13*r - 7. Let b(y) = 2*a(y) - 7*o(y). What is b(12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34922743?\nAnswer: 17, 1301, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 141969.\nAnswer: 4\/47323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 4, -0.3, 4\/7, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 4224?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, -2\/17, 8\/69?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/276 and 134\/27 + 16 + -21.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1270 + 2*s - 1259 - 11*s - 5 + 5 + s + (-2*s + 2*s - s)*(0 + 1 + 1).\nAnswer: -10*s + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3081.00131 + -3081. What is g rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -971*h + 1. Let r be d(5). Let n = -2915 - r. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 + (15 - (-8 - -5)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 - 2 + 2 + (-4*g + 2*g + 0*g)*(0*g**4 + 3*g**4 - 5*g**4) - 6*g**5 + 4*g**5 + g**5 - 4396*g**5 + 10437*g**5 - 4374*g**5.\nAnswer: 1671*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -456 - -466. Solve -13*c = -3*i - 12*c - 1, -2*i + 3*c - z = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5193*n = -1631*n + 4986 - 128278 - 111800 for n.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhb when three letters picked without replacement from {h: 1, b: 2, m: 1, z: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 - 175. Suppose 3*r - 3*q - 180 = 0, 0*q + j*q + 9 = 0. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3 - 2.2. Let q = -2 + -9. Let i = -12 - q. Put 0, f, i in decreasing order.\nAnswer: f, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**28*f**(1\/12)\/f**(-3\/5) assuming f is positive.\nAnswer: f**(1721\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(2 + 1 + 3) + 0 - 4 + 1)*(3 - 2 + 1)*(-2*n**2 + 0*n**2 + n**2).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*k**4*v**2 + 2*k**3*v - 2*v**2 + 64*v wrt k.\nAnswer: -164*k**3*v**2 + 6*k**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249.98*0.5.\nAnswer: 124.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/10080 and -29\/49728.\nAnswer: 745920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, 1\/4, -1\/8.\nAnswer: -2, -1\/8, 1\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 157 - 564?\nAnswer: -40c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 2734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1508 = 2*w. Let g = 3909 - 3906. Suppose -g*x + w = -100. What are the prime factors of x?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:00 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 5 - (1 - 1). Suppose 0 = b - y + 10. Let p = -6 - b. Solve -2*n - 6 = -p*r, -10 = -r - n - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**1\/x)**(-27\/2))**9)**(-19))**(-30) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*s = 78, -161 = -4*t + s + 2*s. Calculate the greatest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -28. Let v = g - 8. Suppose o + 4*p = 0, 0 = 2*o - v*p + 11 - 0. Let l(c) = c**2 + 7*c + 6. Calculate l(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -47*a**5\/5 + a**4\/4 - 1187*a**2\/2 - 886. Find the second derivative of d(f) wrt f.\nAnswer: -564*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*(((-18)\/10)\/3 + 253\/(-230)*4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = -15*q + 13920. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2483595579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t**(-2\/3)\/t))\/t))\/t**(3\/14))**11*((t**(1\/4)*t*t)\/t)**(12\/19)\/(t\/(t\/(t\/t**8*t*t))*(t**(-5)*t)\/t) assuming t is positive.\nAnswer: t**(877\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 25c?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15 + -2 - (3 - 2). Suppose 278 = 4*t - 3*k, 5*t = t + 2*k + 280. What is the remainder when t is divided by (3 + l\/4)*-12?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = 10. Let p(g) = -3*g**2 + g**2 + n*g**2. Let m(s) = 276*s + 272*s - 547*s. Give p(m(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 17. Suppose -t*j + 292 = -j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 68 (c) 4 (d) -9227 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = 2. Let r be 2\/3 + (-1)\/c. Is r at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = 5*c. Let p be 2\/(-10) - (-12)\/10. Let h be 3\/12 - p\/4. Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.9, 78, -311?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6926*g + 11 = -t + 6924*g, -4*g - 28 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4672561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfopptmt. What is prob of sequence osp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 50*r + 16*r - 19*r + 1 - 15*r. Let a be t(5). Suppose a = z + k, 2*k - 156 = -2*z + z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**7\/42 + k**4\/4 - k**3\/3 + 38*k**2. Find the second derivative of u(x) wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7999*y + 8010*y - 33 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -21*r - 2. Let j(y) = 2*y**2 + 22*y - 1. Let s be j(-11). Let z be l(s). Solve 3*i + 2*v + 10 = 0, v = 5*i + 2*v + z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 - 4. Let v(n) = -1105084*n**2. Give y(v(j)).\nAnswer: -7327263882336*j**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1576412, 3152784, 4729156, 6305528, 7881900, 9458272?\n\"Answer: 1576372*c + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000044879719 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8049667 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -7 + 3 + -5 - -14 - 18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1302, 2603, 3902, 5199, 6494?\nAnswer: 7787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**5\/20 - p**4\/8 - 9*p**2. Find the second derivative of u(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107654599 and 267133.\nAnswer: 107654599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79344 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = l - 38 + 9, 5*l = 4*k. Solve 5*x - 30 = l*m, -4*m + 3*x - 11 = 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Divide 4290 by -10.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 + -57. Let x = f + -24. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-885)\/(-335) - (-6 + 9). Let k = -101\/469 - q. Which is the biggest value? (a) 22 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.98 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 52\/8 + ((-51)\/34 - 12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 8*y**2 - 5 - 2*y - 4*y + 5*y. Does 17 divide i(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283946.\nAnswer: 2, 13, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/4960 and -87\/400.\nAnswer: 24800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -52*s - 127. Let o be v(-13). Let d = -2195\/4 + o. Which is the smallest value? (a) d (b) 0 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, m: 3}. What is prob of picking 3 g and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from avtvavaivv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 + 161 = 16*x. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 294, 339, 382, 423, 462, 499, 534?\n\"Answer: -b**2 + 48*b + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 47 - (1 + 4 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18550, -37275, -55988, -74683, -93354, -111995, -130600, -149163?\n\"Answer: d**3 - 18732*d + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -16. Suppose 0*l - 15 = -5*l. Suppose l*c = 1 - 16. Is n not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*g + 7 - 5 = 0, -2*g = -2. Suppose c - 26 = -2*p, k = 4*p + c + 90 - 142. What is the remainder when 374 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4.008. Let f = 0.192 + o. Let v = 0 + -5. Which is the second smallest value? (a) v (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 22. Suppose 3*z + 3*n + 69 = 0, 7*z - 99 = 11*z - 3*n. Let t(j) = -2*j**2 - 62*j - 3. Let f be t(z). What is the greatest common factor of q and f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(3\/5) - 0. Let l = -6.4 - 1.6. Let g = -5 - l. Which is the third biggest value? (a) d (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**4 - 1 - 5*d**3 + 19*d**2 + 4*d**4 + 3 - 2*d**4 - 17*d**2 as v + k*d**2 + f*d**3 + i*d**4 + q*d and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-7)\/((-35)\/330). Suppose 81 + t = -y. Let m be 10*-1020*1*y. Round m to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5461650.\nAnswer: 2, 3, 5, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71789747423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 435, 787, 1057, 1239, 1327, 1315, 1197, 967?\n\"Answer: -v**3 - 35*v**2 + 464*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (63 - 63) + 5 + (-8 - -5). Let b(y) be the second derivative of 28*y + 0*y**3 - 19*y**t + 17\/12*y**4 + 0. Find the first derivative of b(s) wrt s.\nAnswer: 34*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -7.9\nAnswer: -3.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:25 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 2\/9, -0.5, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1\/805991 (c) -2\/35 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*f + 39*f + 96. Solve q + q = -f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 2*r**2 + 6*r + 2. Determine v(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164 by 6.\nAnswer: -82\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**5\/60 - 1105*a**4\/6 - 2442050*a**3\/3 - 107*a**2 - 4*a - 2. What is f in d(f) = 0?\nAnswer: -2210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o**3 + 20*o**2 - 5*o - 30. Suppose 47*u + 6 = 45*u. Let g(k) = k**3. Let m(q) = u*g(q) - b(q). Factor m(r).\nAnswer: 5*(r - 3)*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148 + -703?\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66484, 129319, 188494, 244015, 295888, 344119?\nAnswer: 388714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -50, -56, -66, -80, -98, -120?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c - 2*c**4)*(-94 + 433 - 41*c + 40*c).\nAnswer: 2*c**5 - 678*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and -16*(-315)\/27*(-6)\/(-4).\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 21 + 15*k + 13 + k**3 - 13*k**2 + 34. Calculate the lowest common multiple of 4 and v(12).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/110*-21)\/((-42)\/(-10)*66\/77).\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 5*g - 25. What is the highest common factor of 55 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12716)\/(-867)*(-78)\/8. Which is the smallest value? (a) z (b) 1\/5 (c) 3 (d) -1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let g(x) = -x + 11. Let y = 7 - -3. Let s be g(y). Let q(p) = p**2 - p. Let m(h) = 7*h**2 - 5*h. Let c(v) = s*m(v) - 5*q(v). Give a(c(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 25 + 10 = -5*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -0.4 (c) -0.324 (d) 1\/2 (e) 2 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -9310, 1, 2 in increasing order.\nAnswer: -9310, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88485 + 60883. Let w = 49563 + n. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jup when three letters picked without replacement from {p: 7, j: 12, u: 1}.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6647)\/(-1734)*8\/138*513\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 4?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + z**2 - 3*z - 1. Let c be n(-2). Suppose 4*a + 6*a = -40. Let x be (-1)\/a - 182\/56. Put -5, -1, c, x in descending order.\nAnswer: c, -1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/13)\/(d\/(d*d*d\/(d\/((d*d\/(d**(-1)\/d))\/d))*d))*(d**0)**(-2) assuming d is positive.\nAnswer: d**(71\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/sqrt(810) + (sqrt(22)\/sqrt(50))**2.\nAnswer: sqrt(11)\/9 + 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -513 + 516. Sort -6\/19, -3, 0, w in descending order.\nAnswer: w, 0, -6\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -96*o + 925. Calculate the remainder when 114 is divided by a(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 95046508 - 26753492. Round d to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193542430 to the nearest one hundred thousand.\nAnswer: 193500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1587*v**2 + 53820*v + 456300 = 0. Calculate v.\nAnswer: -390\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -49587\nAnswer: -28\/49587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-69621\nAnswer: 41772.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b = 23*b + 150. Solve 20 = -15*z - b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 24*z**2 + 94*z + 280. Determine v(-10).\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/13))\/q**8*(((q*q*q\/q**1)\/q)\/q)\/q**4 assuming q is positive.\nAnswer: q**(-144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 110\/27, 2\/3, 4, 0.5, -8\/117, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11112 is divided by 526.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32080*h + 32080*h + 10*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 268*y - 268*y. Suppose 2*q + 6 = 0, 18 = 6*i - 2*i - 2*q. Let l(m) = -i*m + m - m. What is l(o(j))?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12*z**2 + 328*z + 2251. What is the remainder when t(-7) is divided by 176?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -1 (c) 0.3 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 94, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/6? (a) -3 (b) 5 (c) 1 (d) -0.02124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*2042742\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + 5*t - 12*t**2 + 5*t**2 to the form k*t**2 + j + c*t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2) + 1*2. Suppose -9 = -j*z + y, 3*y + 2 - 19 = -5*z. Suppose 4*h = -w - 3960807 - 18439197, z*h + 22399984 = 4*w. Round h to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -27*w**5 + 63*w**4 - 3*w**3 - 27*w**2 - 6*w = 0.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/2 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -2) + -4 - -1890. Round g to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 2*h + 1108. What is the thousands digit of n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4175a (base 11) to base 16.\nAnswer: ed87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1077, 7982, 26733, 63252, 123461?\nAnswer: 213282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559 times 1?\nAnswer: 1559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k + 4. Let w(m) = -8*m**2. What is w(l(c))?\nAnswer: -648*c**2 - 576*c - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43207 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*i + 37*i + 34*i)*(5 - 5 + 18*i).\nAnswer: 1620*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -2*k + 20. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-5)\/x)\/x**(-6\/5)*x**9\/x**(-2\/9))**7)**(1\/6) assuming x is positive.\nAnswer: x**(1393\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + 2229*r - 108 + 68 to o + g*r and give g.\nAnswer: 2229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -223725 divided by -2983?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 2\/5, 2\/9, 9, -2\/3, -21?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -76.5. Let k(d) = d**3 + 8*d**2 + 4*d + 2. Let h be k(-7). Which is the second biggest value? (a) -0.4 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - y + 2. Let i(b) = -12*b**2 + 5*b - 10. Let z(v) = -5*a(v) - i(v). Let r(w) = 4*w. Determine z(r(s)).\nAnswer: 112*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 77*s**2 - 14*s + 35. What is the smallest common multiple of 202 and h(39)?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 0 (c) 0.32 (d) -2\/3 (e) -3\/2 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3)\/m)\/m**2*m**(-1\/5)\/(m\/m**(-5))*(m*m**3*m\/m**4)\/(m\/m**(2\/11)*m**(-1)\/m) assuming m is positive.\nAnswer: m**(-496\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 12*l + 11. Suppose g = -6*h + h - 32, 0 = 5*h - 3*g + 24. Calculate the remainder when ((-192)\/20)\/((-3)\/10) is divided by o(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -47*w. Let h(r) = 52328*r**2. Give n(h(g)).\nAnswer: -2459416*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.8 - 49.8. Let c(a) = a**2 + 1. Let z be c(2). What is the third smallest value in 0.5, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231568 divided by 4?\nAnswer: 57892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/5 - 2*f**3\/5 - 11*f**2\/5 + 12*f\/5.\nAnswer: f*(f - 4)*(f - 1)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -186*w**2 + 16 + w**4 - 21*w**3 + 186*w**2 wrt w?\nAnswer: 4*w**3 - 63*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k - 13. Let u be -14 + (-6)\/((-9)\/3). Let p be m(u). Suppose 87 = 2*s - p. List the prime factors of s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1155 and 919726885?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 227401062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -119097 < -119090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -14, -4 in descending order.\nAnswer: 3, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 29*(-189)\/3654*(-1)\/(3\/28)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*w + 22, 4*w + 0*x = 2*x + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -10. Suppose d - p + 4 = -3*p, -15 = y*d - 3*p. Let x(l) = -3*l - 2. Calculate the least common multiple of 12 and x(d).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*j - 7572 = -901*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-352)\/(-462))\/(1672\/1881).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 662025, 1323670, 1985315, 2646960, 3308605?\n\"Answer: 661645*d + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 7*g + 16, 4*k - 28 = 4*g. Let w(f) = f**2 + 2*f + 2. Let z(i) = 2*i**2 + i + 3. Let n(u) = k*w(u) - 2*z(u). Factor n(p).\nAnswer: -p*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9262421, -18524846, -27787271?\nAnswer: -37049696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.707 - 6702.67?\nAnswer: -6701.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o. Suppose -5*i + 9 = -3*z, -4*z + 2*i = -o*z - 2. What is the smallest common multiple of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0 + 50\/20)*2\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/4 - 6119*o**4\/2 + 214779*o**3\/2 + 9178*o**2 - 1313141*o\/4 + 429555\/2 = 0. What is o?\nAnswer: -12273, -2, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**(-11\/3))*v*v\/v**(-2\/27) assuming v is positive.\nAnswer: v**(155\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39240236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpalpplfp. Give prob of picking 1 a and 3 p.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 45 = -34. Let h(i) = -i**2 - 1109*i + 31360. Let o(l) = l**2 + 554*l - 15680. Let g(s) = z*o(s) + 6*h(s). Factor g(t).\nAnswer: 5*(t - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 - 125. Let y be (-3)\/7 - 2264\/i. Suppose 0*b + y = 5*b. Calculate the remainder when 20 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23\/5 of a litre?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41013 + -17?\nAnswer: -41032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1 - 2*v)*((-2 + 2*v**2 + 2)*(-2709 + 2709 + 53*v) + 4*v**3 - 2*v**3 - 3*v**3) to the form m*v + z + c*v**4 + x*v**2 + f*v**3 and give c.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -0.2 (c) 6\/5 (d) 0.06 (e) 5 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1101, 8932, 30217, 71682, 140053, 242056, 384417?\n\"Answer: 1121*r**3 + r**2 - 19*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 2, y: 2, g: 1, b: 1}. What is prob of picking 1 g and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1196)\/(-3220) - 6\/(-14)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*g**3 - 453 + 7*g**2 + 453 wrt g?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21919, -176261, -595519, -1412149, -2758607, -4767349, -7570831?\nAnswer: -11301509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 15*r. Let o(h) = -80756*h. What is o(n(c))?\nAnswer: -1211340*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -214 + 310. Let c be 62\/217 + 1 + 318\/14. What is the highest common divisor of o and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + 3 + 9 - 4 - 8.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 10*j**2 - 9*j. Let i be m(-9). Is -2\/19 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936 = 4*z - 2*l, 0 = -8*z + 5*z + 2*l + 700. What is the remainder when z is divided by 3\/(15\/(-2))*(-150)\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*s**2 + 1)*(-2*s + 2 - 2)*(2*s - 16*s - 3*s).\nAnswer: 102*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 125 in ascending order.\nAnswer: -2, 5, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 11748*l - 3510622. Determine v(-285).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19462 + -19458. What is the nearest to 0.2 in 3, -429, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/3)*g)\/g**(-2\/13))**(-1\/8))**(-3\/20) assuming g is positive.\nAnswer: g**(19\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -710499300 divided by -6\nAnswer: 118416550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 1, w: 13, l: 2}. Give prob of sequence llz.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**3 + 222 + 38*v + 18*v - 5*v**3 - 56*v.\nAnswer: 9*v**3 + 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**3 + 5*d**2 + 8*d + 3. Let w be 1*4\/(-8)*2. Let b(u) = u**3 + u**2 + u. Let l(n) = w*c(n) + 6*b(n). Let k be l(-2). Sort -1, 3, k.\nAnswer: k, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/56)\/((-104131)\/86604)?\nAnswer: 3\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 4, -3\/8, 1, 0.141 in decreasing order.\nAnswer: 4, 1, 0.141, -3\/8, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swsswws. What is prob of sequence wsws?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t - 43 - 32. Suppose -3*a + t*k + 809 = 6*k, 4*k = 3*a - 814. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117 + -61 - 67) + 1 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.2633 weeks in milliseconds?\nAnswer: 144101643840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/13 in 0.0063, -0.08, 0?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -14*y - 3. Let b be v(-8). Suppose b = 4*n + 17. Suppose 3*p = n + 28. What is the highest common factor of p and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20847\/95508 + 1 + (-9)\/108. Let i = n - -3\/379. What is l in 4\/7*l**3 + 4\/7*l - i*l**2 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15754409 smaller than -15754408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -598*b + 16059. What is c(27)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1\/6, 2250.7 in descending order.\nAnswer: 2250.7, 3\/4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/27)\/(168\/216)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 + 2. Let o(f) = f**3 - 13*f**2 + 2*f - 1. Let l(b) = -7*b**2 + b. Let w(a) = -11*l(a) + 6*o(a). Let x(s) = 7*i(s) + 2*w(s). Factor x(j).\nAnswer: -2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 1014*x - 5 = 1015*x, -5*n + 20*x = -100 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 36136*i**4 - 3*i**2 - 2*i**3 + 3*i - 21 - 36134*i**4 as k + r*i**2 + p*i**3 + g*i + u*i**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-20 - -24 - (-1 - 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(1 - -1)\/(-6). Let l = 0 - w. Suppose 3*p + 2*k - 11 = 0, 2*k - 5 = 33*p - 34*p. Calculate the least common multiple of l and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413557.4*0.4.\nAnswer: -165422.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8254045 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -5, -2, 19, 64?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**2 + 4306*f**3 + 32*f**2 - 16*f**2.\nAnswer: 4306*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 23*n**2 - 7*n - 747. Give l(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (107 + 23 - -26) + -41?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -29\/2. Let j = 82 - 82. Suppose j = 3*d - 5*f - 7 - 20, 0 = 2*d + 2*f - 2. Which is the closest to -1\/2? (a) d (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -51*n - 33. Let p(h) = 12*h - 2. Give -g(a) - 3*p(a).\nAnswer: 15*a + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465006*s**5*y**3 - 196*s**5 + 19102*s*y**3 + 215*s wrt s?\nAnswer: -9300120*s**3*y**3 - 3920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 258319960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -28. Suppose n*u - 2*j = 586, -5*u + 0*j - 2*j + 1479 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -245, -244, -241, -236, -229, -220?\n\"Answer: n**2 - 2*n - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + sqrt(5))*-5)**2.\nAnswer: 130*sqrt(5) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 46*p + 39. Let n be y(-23). What is the greatest common factor of n and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 - -0.02. Let o = -5.1 - -5. What is the third smallest value in o, n, -3\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 20*y - 6 + 38*y - 87*y + 20*y. Let k(d) = -3*d - 2. Let c(a) = -a + 6. Let r be c(8). Let n be 2 - -7 - (3 - 1). Give n*k(g) + r*l(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 15\/16 (b) -0.2 (c) -5 (d) -1.082\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*n - 2*n + 90 = 0, -16 = 4*n. Is f a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69930 and 254002?\nAnswer: 1268739990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*g*q**4 - 182497*g*q**2 - 2*g*q - 2216727*g + 19*q wrt q.\nAnswer: 636*g*q**2 - 364994*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 23*v**2 - 2*v + 50. Calculate w(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10012, -1, 3, -1\/3 in descending order.\nAnswer: 3, -1\/3, -1, -10012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.2 (c) -1\/2 (d) 3\/64 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k + 3 - 1 + 0 - 6. Let o be h(-4). Solve 0 = -4*m + 4*g - 8, -o = m - 4*g + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -61139 (c) -25 (d) 1\/4 (e) -3 (f) 2\/11 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34907 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10998 + -10998.04929. Round g to 3 decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1491, -1559, -1615, -1653, -1667, -1651, -1599, -1505?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 64301.29 millilitres?\nAnswer: 64.30129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**4*c**2 - 7*b*c**2 - 3*c**2 - 1 with respect to b.\nAnswer: -16*b**3*c**2 - 7*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z + 33*z + 125 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26546.99975395 + -26547. What is a rounded to 5 dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {m: 2, k: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 4*sqrt(539) + sqrt(539) + 3 + 4 + (-4*((sqrt(539)*2 - sqrt(539) - sqrt(539)) + sqrt(539)) - (-5 + sqrt(539)*2 + sqrt(539))))**2 + -3.\nAnswer: -168*sqrt(11) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201632251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 1208808*n - 4835209. Give s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w - 2*w. Let i = w - -1. Suppose -i*b + 10 = -b. What is the remainder when 18 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24052 - 0?\nAnswer: 24052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -r + 5*r. Let n be 2 + -2 - (-6)\/1. Suppose n*d - r = d. Solve k = d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 a when four letters picked without replacement from anrajnrnrrdnuj?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -26. Let y be ((-27)\/(-6) + -4)*u. Suppose -23 + y = -b. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -3, -3\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.094 + 0.094. Put 5, 1\/2, z in descending order.\nAnswer: 5, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*k**3*o**2 + b*k**2*o**2 - 5308*k**6*o**2 + 125*k**2*o**2 - 6*k*o**2 wrt k.\nAnswer: 12*b*o**2 - 636960*k**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 448*z - 12544.\nAnswer: -4*(z + 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - 31077781040?\nAnswer: -31077781081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - 0. List the prime factors of c\/4*130\/(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/6 - 12*d. Let n(p) = 5*p**2. Determine x(n(k)).\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 17766507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51*w - 14 + 24 - 8)*(-w**2 + w**2 - w**2 + (2*w + 0*w - 4*w)*(-3*w + 5*w - w))*(3 - 5 - 3) to a*w**2 + u*w + k*w**3 + z and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-7 + -7 + 12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {x: 3, f: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4769386525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*(n*n*n**3*n)\/n*n**(-8\/3))\/(n*n**(-1\/2)\/n)**(-16))**(3\/2))**(1\/38) assuming n is positive.\nAnswer: n**(-11\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223 - -19. Let u = z - 246. Let d(n) = n**3 + n. Let f be d(1). Sort f, u, 6.\nAnswer: u, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 2*b**2 - b + 14. Calculate the remainder when 94 is divided by i(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3150)\/12600*(-8)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -68678, -137350, -206022?\n\"Answer: -68672*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from bbhjbkbtkbqbkbbhj.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or -153?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3*z - 2*j**2*z - 83*j**2 - j*z - 7*j wrt j?\nAnswer: -12*j*z - 4*z - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13229*s**2 - 33*s**3 - 10*s**3 - 13064*s**2 + 0*s + 0*s wrt s?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gch when three letters picked without replacement from {v: 2, c: 2, g: 7, m: 1, h: 2, d: 1}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z - 5*z**2 + 5*z**4 + 2289*z**3 - 2294*z**3 + 0*z**2.\nAnswer: 5*z*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 402 = 61. Let z = p - 31. Let q(l) = l - 2. Let t be q(-2). Sort z, -3, t in increasing order.\nAnswer: t, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 3, -16160 in descending order.\nAnswer: 28, 3, -16160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 - 122425*r**4 + 750189335*r**3 - 9736062595*r**2 + 26194951160*r + 36681325520 = 0 for r.\nAnswer: -1, 7, 12236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 252847 + -145406. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1276666 + 368816. What is f rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(51)\/sqrt(3) + -4.\nAnswer: -6 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 2*f**2 - 6*f + 12. Let s be v(2). Solve 2*n - 2*j + 5 = -7*j, -3*j + 3 = s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 4 (c) -0.046 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + -87 - -38) + -6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + h + 4*f - 12, -3*f - 9 = -3*h. Suppose -5*a + 0*r + 6 = h*r, a - 6 = r. Let m = a - -5. Calculate the lowest common multiple of m and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173898 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 190922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 155*h**3\/3 + 9*h**2\/2 - 11*h. Is u(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29 (b) 221 (c) -6 (d) 207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = 5*q - 3*g, -2*q + 8 = -2*g. Suppose 4*c - 10 = 5*d, -c + 3*d + 2 = 3. Suppose -9 = 2*k - c. Is q greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15289491241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -132, -741, -1824, -3381?\n\"Answer: -237*l**2 + 102*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - sqrt(539)*1)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5318742*d - 150055262?\nAnswer: 5318742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) 7.1 (c) 0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19, 36, 63, 106, 171, 264, 391?\n\"Answer: a**3 - a**2 + 13*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 34 - 14 - (3 + 1 + -3 + -95)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 9. Let k be (-6)\/4 - -1 - 28\/8. Calculate w(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39466.82 years in months?\nAnswer: 473601.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2*h - 83*f**2 + 408*f - 6022*h wrt h?\nAnswer: -2*f**2 - 6022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/7, 1\/918, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 231868764 a multiple of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 10. Let o be k + (0\/2)\/3. Suppose 0 = o*s + 9, -5*h + 0*s + s = -83. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 9. Suppose -44 = x*w - 5*y, -35 = 3*w - 2*y + 24. Let o = -9 - w. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/35)*m**(-10) assuming m is positive.\nAnswer: m**(-349\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 4784?\nAnswer: 23920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 6*i - 5. Let v be l(7). Let h = -223 + 220. Let k = 1512.6 + -1513. Which is the closest to v? (a) 1\/2 (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) 0.6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 3*q. Let y(r) = r. Let g be (-3)\/(-2)*4\/3. Let k be y(g). Let z be m(k). Solve z*f - 5 = -1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 - 6*s + 5. Let r(d) = -2*d**2 + 5*d - 5. Let j(x) = -5*f(x) - 6*r(x). Differentiate j(t) with respect to t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*o - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 741468, 1482925, 2224380, 2965833, 3707284, 4448733?\nAnswer: 5190180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1387*z + 85. Let v(t) = 5548*t - 316. Let p(b) = 9*f(b) + 2*v(b). Let u(r) = 21*r - 2. Determine 2*p(k) + 133*u(k).\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 2*z**2 - 2*z + 3. Let x be (-4 + 1)*(-6)\/9. Let b be n(x). Let i = b - -5. Solve 2*t - i*t + p + 6 = 0, 15 = 5*t - 4*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-424 - (3 - -10))*-15.\nAnswer: 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -35*t**2 + 48*t - 13. What is l(2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 24149853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 57 + 59 + 30*x**2.\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 + -100. Suppose -2*q - 36 = -4*q. What is the highest common divisor of q and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6 + -6 - (-1 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-1 - 0 - -5) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -312 - -304. Let z(w) = -19*w**3 + 16*w**2 - 9*w + 17. Is z(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5 + 3*p - 2*p + p - 8*p + 2*p**2. Calculate the remainder when 97 is divided by r(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-13) + 18\/(-6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 48*v**2 + 17*v + 442. What is r(24)?\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20 and -13\/620.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221121020212210 (base 3) to base 5.\nAnswer: 11440342334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*t + 26 = 91, t = 2*a - 14. Let g be (3 - 1) + -3 - -5. Solve -g*j + a = 4*y + 49, 2*j = -y - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 + -104.76. Let m = 0.24 - n. Let z be (-19)\/35 - (-8)\/56. What is the smallest value in 5, m, 3, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7631850, 15263761, 22895670, 30527577, 38159482?\nAnswer: 45791385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7260 = 96*f + 133*f - 9*f for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**5\/5 + g**4\/6 - 7*g**3\/3 - 3*g**2 + 8*g - 6. What is the hundreds digit of r(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5189 = -4*g, 4*q + 6*g - g - 6920 = 0. Let a = q + -864. Is (-1 - 0)\/((-13)\/a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/15)*q*q*q\/(q*(q\/(q\/q**(-2\/11)))\/q*q))**(-2\/45))**(-3\/5) assuming q is positive.\nAnswer: q**(676\/12375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/52 (b) -0.4 (c) -24 (d) 1 (e) 2\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1902897 * 2\nAnswer: -3805794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 507131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 - 7) + 1 + -4. Suppose 5*j - 4*j + 11 = i*z, -2*z + 5*j = -3. Suppose -4*c + 2*c - 4 = 0. What is the nearest to c in z, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -14.236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 2*c - 17. Let l = -231 + 223. Is j(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 217085316*y**2 + 35763635*y - 9 wrt y?\nAnswer: 434170632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {q: 4, c: 3, d: 1, n: 2, m: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -479*l**4\/12 - 113*l**3 - 536*l**2. Find the first derivative of o(g) wrt g.\nAnswer: -958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - z)*(4*z - 3*z + 2*z) - 2*z**2 + 0*z**2 + z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1264100*m**4 + 1124421*m wrt m?\nAnswer: 15169200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 320677529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 3. Let u(m) = -4*m + 4. Suppose -5*j + 115 = 5*q, 5*q - 9 - 22 = -2*j. Let g be 2*(-5)\/30 + j\/(-6). What is g*b(a) - 4*u(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7 = -3*k - 2, k = -5*z + 27. What is the second derivative of -2*y + y**5 - 10*y**2 + 10*y**k wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r**2 + 5*r + 2. What is y(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1503 - -1)\/(-2))\/(10\/60) is divided by 74?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -49*i - 61*i + 105*i + 1. Let z(f) = -10*f + 2. Determine 7*q(g) - 3*z(g).\nAnswer: -5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6\/(6\/33505) + (-13)\/(-26)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 divided by 7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjssjsssssssssjs. What is prob of picking 2 j and 1 s?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z + 1156 - 503 - 4*z + 2*z**2 to the form j + f*z**2 + v*z and give j.\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119\/2 - -58. Which is bigger: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-10 + 13) - 30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -66, -80, -96, -114?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*n - 273, 4*t - 118 = -17*n + 15*n. Let z = 161 - -57. Calculate the remainder when z is divided by n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-8) - 351\/(-252). What is the nearest to 2\/7 in y, -3, 2\/149?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10*y + 1. Suppose -b - b = 2*w - 38, -w + b + 9 = 0. Suppose j + w = -2*r, -3*j + 7*j = r - 74. Let a = 17 + j. What is q(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 5*b + 19, -l - b = -1. Suppose -4*p = -8 - l. Let z be (p\/1)\/(3\/4). Put -2, -4, z in decreasing order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.822 - -2.722. Is -1\/1877 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and -1917 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.29 + -0.3. Let d = o + 0.01. Let u = 0.7 - 4.7. Put d, -2\/5, u in descending order.\nAnswer: d, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10740, -43095, -97064, -172647, -269844, -388655?\nAnswer: -529080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i**4 + 11*i**2 - 14. Let c(v) = v + 1. Let t be c(-5). Let z(k) = -3*k**4 + 4*k**2 - 5. Let s(y) = t*g(y) + 11*z(y). Differentiate s(d) wrt d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -2*q**5\/5 - 23*q**3\/6 + 12*q**2 + 30*q. Let r(u) be the first derivative of j(u). Find the first derivative of r(t) wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.67 + 3.6. Let z = g - 1.929889. What is z rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 250 + 250 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7221381308.\nAnswer: 2, 1805345327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 5\/1)\/(-2). Suppose 2 = 2*d - z. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -9. Suppose -h*z - 3 = 2*k + k, 0 = -4*z - 4*k. What is the least common multiple of z and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3131, -3097, -3071, -3053, -3043?\nAnswer: -3041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 5)*(-821*x**2 + 1633864 - 1633864) to the form a*x + i*x**2 + n and give i.\nAnswer: 821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {r: 1, t: 2, x: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**3\/3 + 9*u**2\/2 - 9*u - 21. Calculate c(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 2\/9, -3, 0.32, -6\/89?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-12) - (-14)\/(-42)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22516, -44969, -67360, -89689, -111956?\n\"Answer: 31*h**2 - 22546*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95714133 to the nearest integer?\nAnswer: 9783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*k**3 - 2*k**2 + 19*k + 5421.\nAnswer: -90*k**2 - 4*k + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 p, and 1 s when four letters picked without replacement from {s: 2, k: 1, p: 2, v: 1, n: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r. Let p be l(-4). Let g be 1\/4 - (-1)\/p. Suppose g*n - 62 = -2*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u = 928 - 1536 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 - 4\/2. Let h = -981 - -977. What is the nearest to y in 0.4, h, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/14 or -41?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49967 or -49925?\nAnswer: -49967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15*8\/(-200)*-5. Suppose -n*f + 20751 - 2784 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10952*j**3*m**2*s - 3*j**3*s + 4*j**2*m**2*s - 21*j**2*m**2 - 3*j**2*s + 6*j - m**2 wrt j?\nAnswer: 65712*m**2*s - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 - 2*h + 5. Suppose -8*y = -3*y - 15. Let u = 8 - y. Is g(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1152 and 48?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4280\/23540)\/(8\/66)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000895 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6112505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497445 + 64027 = b. Let r = b + 1713418. What is r rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**2 - 4*w + 0 - 1\/60*w**5 - 1\/90*w**6 + 1\/18*w**3 + 1\/36*w**4. Factor x(i).\nAnswer: -i*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37437788.\nAnswer: 2, 9359447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, h: 2, a: 3, n: 8}. Give prob of sequence nb.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 5*r = -a + 41, -2*r = 3*a - 32. What is the highest common factor of 767 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 627 and 18.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424320 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 60. Suppose -6*j = -n*j - 201. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -4.\nAnswer: -105\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.59 - -4.91. Let j = 1.08 + d. Let y = -11 - 2. Which is the smallest value? (a) 3 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 16 - 9 = 0. Suppose -i*k + 13119 = -2*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1014 by 507.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -721*r**2 + 324*r**4 + 180*r**3 + 737*r**2 + 60*r**3 = 0. What is r?\nAnswer: -2\/3, -2\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.926 - 29. Let u = -153069 + 153067. What is the smallest value in 3, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 159.5 + -159. Suppose 5*m - 29 = -2*l, 14 = 4*m - 2*l - l. Let q = 6 - 8. Sort m, h, q in descending order.\nAnswer: m, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171)*-1 + sqrt(171)) + 6*1*sqrt(171))\/(sqrt(81) + -2*sqrt(81)*-1) + -5.\nAnswer: -5 + 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 8*f = 232. Let i = -36 - f. Factor 2*s**2 + 27*s**3 + 8*s**2 - i*s**3 + 5*s.\nAnswer: 5*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 q when three letters picked without replacement from {t: 4, q: 2, m: 1, f: 4, j: 1, a: 7}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h + 26. Let u(d) = -21*d + 47. What is 7*m(v) - 4*u(v)?\nAnswer: 7*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/30 - (-25109)\/105 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4598890*x**3 - 85322*x**2 + 13*x?\nAnswer: 27593340","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*6*(sqrt(102) + (sqrt(102) - (sqrt(102) - (sqrt(102) - (sqrt(102)*-1 + sqrt(102))) - sqrt(102))) - sqrt(102)))\/((sqrt(600) + -2*sqrt(600))*6).\nAnswer: 2*sqrt(17)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 283*w**5 + 5877*w**4 + 9*w**3 + 2*w**2 + 3502978*w + 5?\nAnswer: 16980*w**2 + 141048*w + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 874 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24302 = 386*z - 460*z - 523*z - 2213 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.062*-0.041.\nAnswer: -0.002542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -a + 7*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 12*n = 5*b - 32304, -4*b = 12. What is the greatest common factor of n and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/(1\/(-6)). Let m(v) = 2*v - r*v + v. Let n(h) = -h**2. Give m(n(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -297114558*u**4 - 291*u - 165827?\nAnswer: -3565374696*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23595392 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 + 193*a + 123. Give q(64).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 16*t**2 - 18*t - 225. Let z be s(-16). Let u be (-4)\/(-2*(-2)\/62). Let o = 104 + u. What is the highest common divisor of o and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3480*j + 6941*j - 3468*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15223650 divided by -39?\nAnswer: 390350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, z: 14}. Give prob of sequence zzj.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 43*k + 5. Suppose 1 = a, 0 = -2*b - 3*a - 0*a + 9. Let z(c) = 22*c - 3. Let t(g) = b*d(g) + 5*z(g). Find the second derivative of t(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1937086796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4259 - 12782 + 4264 - 93*n + 2*n**2 + 4259.\nAnswer: 2*n**2 - 93*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**3*y**2 - p**3*y + 10*p**3 - 164*p**2*y**4 + 2*p*y wrt y.\nAnswer: -8*p**3 - 1968*p**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*y - 8 = -l, -21 = -5*l + y. Let r be 13\/5 - (-2)\/l. Let h be (-16 + 2)*6\/(-7). What is the highest common factor of h and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/2 (b) -1374 (c) -4 (d) 5.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*i - 19 = -0*i, -2*o - 18 = 3*i. Let n = o - -51. Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-3 - -2) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -177.5*-5\nAnswer: 887.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125c (base 15) to base 10.\nAnswer: -3912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 753.4475 days?\nAnswer: 65097864000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.5. Let a = -0.3 - p. Put -0.3, a, 0.3 in descending order.\nAnswer: 0.3, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + h = s - 28, -3596*h + 92 = 3*s - 3601*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163552769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 14 = -2*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-19)\/57)\/(2\/(-6)))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 71668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**6\/180 - 2*a**3\/3 + 5*a. Let m(r) be the second derivative of w(r). Let h(v) = -2*v. Calculate h(m(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -3\/2, 4\/7, -2\/749, 36, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -20*c + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 4*y**4 - 6*y**4 + (y + 0*y + 3*y)*(-2*y**3 + 2*y**3 + 4*y**3).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*p - 26 = 0, p = 5*g - 2*p - 25. Suppose -14 - g = -4*r - 5*m, -2*r - 5*m = -18. Let q = 17 - r. What is the remainder when q is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*w - 158, 5*g - 259 = -8*w + 4*w. Calculate the remainder when 354 is divided by g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*r + 0*r = 0. Find s such that 2\/5*s**3 + 0*s**2 - 4\/5*s**4 + r + 0*s = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2396770105?\nAnswer: 5, 19, 29, 131, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -325265\nAnswer: 4\/325265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r = 24. Let g = -1 + r. Put -3, g, -2 in ascending order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3333989 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h - 4*a - 7340 = 0, -h + a = 1825. Is (-16)\/(-3)*h\/(-80)*4 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**4 + 9*x**2 + 9*x - 8. Let c(d) = -d**4 - 2*d**2 - 2*d + 2. Let l(a) = 9*c(a) + 2*g(a). Differentiate l(r) wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + x**4 - 2*x**4 + (0*x**2 + 0*x**2 + x**2)*(7*x**2 - 2*x**2 - 3*x**2) + 2*x**4 + 2*x**3 - 2*x**3 - 2*x**4 - x**4 + 4*x**4.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w - 115*w**2 - 30*w**2 + 23*w.\nAnswer: -145*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krrrvkrrcvrvv. Give prob of sequence vrk.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -12. Suppose u*n + n = 5. Suppose 101 = 4*y - n*r, -2*y + r = -4*r - 53. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13379 - 13378.8. Let s = 0 - 1. Sort s, q, 3 in increasing order.\nAnswer: s, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -476 + 456 + (3 - -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 6*l - 2. Calculate u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8160 + 8160 + 958*a - 2 + 2 + 2*a + (-3 + 2 - 1)*(-4*a + a + a) + 0*a + 2*a + 0*a.\nAnswer: 966*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.617 + 6.617. Which is the closest to -1? (a) 229\/5 (b) 0 (c) x (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 f, and 1 p when three letters picked without replacement from ufpff?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:48 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 g when three letters picked without replacement from {v: 1, n: 4, a: 7, b: 3, g: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 63632592 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**12)**34 assuming d is positive.\nAnswer: d**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 12 = -3*c, -4*s - 14 = -3*c - 2. Suppose s = a - 2, -5*n - 4*a - a + 985 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.4 + 1.6. Let l be ((-10)\/4)\/((-245)\/147). What is the biggest value in l, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(4\/(-2) + (-3145934)\/33). What is u rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28593 divided by 3.\nAnswer: -9531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -45922 divided by 36\nAnswer: -22961\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {j: 3, v: 2, a: 1, m: 1, c: 1, s: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/143814 and -56\/31867?\nAnswer: 416629158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/22 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02022282 rounded to 5 dps?\nAnswer: -0.02022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7978 + 7986 = 2*h. Let a(s) = 2*s**2 - 9*s + 2. Let o(c) = c**2 - 8*c + 1. Determine h*o(y) - 3*a(y).\nAnswer: -2*y**2 - 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 2*m - 1. Let s be y(-2). Suppose -s*w + 3 = 3*t, 2*t + 2 = 2*w - 4. Suppose 4*k = -w*k + 1566. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-55)\/9*((-114)\/(-24) + -4) and -103\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -44. Calculate the highest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(30)\/(sqrt(125) - sqrt(5))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p. Let c(h) = -h. Give -20*c(b) + 6*x(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17544071 or -17544072?\nAnswer: -17544071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.1 or -290.72?\nAnswer: -290.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 2*o**3\/3 - 9*o**2\/2 + 10*o + 347. Determine y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5802279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 + 1)*(46 - 46 - 34*t)*(5 + 2*t**2 - 5) + (-t + t + t)*(0 + 2 + 1)*(-2*t**2 + 6*t**2 - t**2) in the form u*t + s + p*t**3 + k*t**2 and give p.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*b - 6 = 0, 7*n - 4*b - 16 = 12*n. Let o be (-3 - -5 - 2)\/(-1). Sort 44, n, o.\nAnswer: n, o, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448 divided by -57?\nAnswer: 1448\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11693280 and 5235?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 96?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 434 - 287. Let r = -69 + q. Let u = r - 77.6. Which is the nearest to 1\/6? (a) -4 (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 5*g**2 + 12*g + 7. Let o be n(-7). Let s be ((-6)\/o)\/((-12)\/(-18)). Which is greater: 10 or s?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-19327)\/(-231)*3\/1 is divided by 56.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)**(1\/18))**(-5)\/((r\/(r*r*r*r**(1\/5)*r)*r**(1\/4))\/(r*r*r**6*r**(1\/3)*r)) assuming r is positive.\nAnswer: r**(2261\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -25*h**3 - h**2 + 4*h + 3. Let l be f(-1). Solve -u + 30 = l for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77773 - 156095 - 132*x + 78322.\nAnswer: -132*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 + 1583\/10. What is the third biggest value in m, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 (base 5) in base 7?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239243\/8 + -29909. Find the common denominator of 107\/15402 and q.\nAnswer: 61608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24776 is divided by 1546?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -2\/7 (c) 0 (d) -0.4 (e) -2 (f) -109\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 31*p**2 + 18*p - 26. Let u be r(15). Suppose -l + u - 24 = 0. Which is the fourth smallest value? (a) 2 (b) 0 (c) -2\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -306 - -311. What is the nearest to -1 in f, 2, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2803*s**3 - s**2 - s - 1. Let m be b(-1). Let l = m - 5602. What is l rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q - 198. Let f be h(20). Let d(p) = 2. Let c(n) = n**3 - n**2 + n + 7. What is f*c(m) - 7*d(m)?\nAnswer: 2*m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*j + 154, -2*j + 54 = -2*y - 2. Suppose 3*p + 2 = -5*o + 1, 4*o = -5*p + 7. Suppose p*k = -0*k + j. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18498 + -18610. Which is smaller: h or -38?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/7))**(-34)*q**(-2\/13)\/(q\/q**0))**(-46))**(2\/47) assuming q is positive.\nAnswer: q**(-71668\/4277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.21 - -8.21. Let x = 0.31 + 11.69. Let l = x - k. Which is the closest to 2\/3? (a) l (b) -2\/5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16907, -16906, -16905, -16904, -16903?\n\"Answer: w - 16908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - u + 2. Let c be t(3). Suppose 78 = -2*q - 2*d, -3*d + 64 = -4*q - 71. Let n be 280\/(-80)*q\/7. Which is greater: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211677, -212358, -213039, -213720?\nAnswer: -214401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1845*t**2 - 41*t - 140. What are the prime factors of k(-3)?\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9)\/24*122)\/((-1)\/4)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1930054 plus -5778517?\nAnswer: -7708571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7173 = -2*r + 2*t + 34007, 0 = -4*r + t + 53644. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19157336006 and 6?\nAnswer: 19157336012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1941463 is divided by 1874.\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 1454.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 209.714334788 + -0.3.\nAnswer: 209.414334788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -1 + 0*y + 1\/3*y**3 + y**2. Let n be k(-2). Solve 3 = -n*p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = t - 41532 + 41527, -13 = -2*z - 3*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2226 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) + (-219)\/(-4). Suppose -37*q + 19*q = 918. Let d = w - q. What are the prime factors of d?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 15, 23, 47, 93, 167?\n\"Answer: j**3 - j**2 - 6*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24573077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-4 - -6 - 2)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207\/13 - (-11)\/143 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**3 + 840*g**2 - 59631*g + 115926 = 0.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 4*d**2 + 4*d - 5. Let n be c(-5). Let i = n + 0. Suppose 2*r + 68000 = -i*r. Round r to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - n**2 + 8*n - 28. Calculate m(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 651*c + 7806. Give w(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 11*l**2 + 32*l + 86. Let b be h(-13). What is the highest common factor of b and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 456 divide 5798952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Suppose 4*v + 2 = 5*k, 2*k + v - 8 = -v. Let w(t) be the first derivative of -2 - t**k + 8 + 0. Calculate x(w(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 6*t + 8. Determine m(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/17101 and -33\/12215?\nAnswer: 85505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553.016 nanoseconds to seconds.\nAnswer: 0.000000553016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.35139 and -0.9?\nAnswer: 3.016251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -7. Let r be 5 - y - (-1183 + 2). Suppose 5*x - 1603 = r. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-9)*1458\/14742?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 586881 = -22*n + 23*n, 3*q - 2*n = 586872. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 10*b**2 - 53*b - 1. Give n(14).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -27, 2, 0.145, -2, 3, -0.4, -6\/11?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.041t in micrograms?\nAnswer: 22041000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74520\/(-924))\/15 + (-888)\/(-814)?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -334688 at most as big as -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12131488 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 5 = 2*s. Suppose 4*b - s = 3*a, -a + 5 = 5*b - 2. Is 86 - (-5 - a) - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.134231 millennia in centuries?\nAnswer: 91.34231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(1\/17))*w)\/w*w*w)\/w**3)\/(w**(-2\/7)\/w)**10 assuming w is positive.\nAnswer: w**(1418\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -26 + 16 + 5 + 7 + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z - 129 = j, -5*z + 4*j - 109 = 0. Which is smaller: z or -23?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**6\/120 - 17*f**5\/30 - 7*f**4\/24 + 13*f**3 - 21*f**2. What is the units digit of z(-34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53530 (base 9) to base 2\nAnswer: 1000101001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*r + 93. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 455 and 16.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6004 divided by -1?\nAnswer: -6004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/(43 - 39).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 13*w**2 + w - 5. Suppose 3*q = 16 + 23. Let m be j(q). Solve -5*h = -m - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25222820392 + -25220186225.9891. Let o = 2634392 - s. Let z = o - 226. Round z to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/274, -221 in decreasing order.\nAnswer: -1\/274, -0.2, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 113 = -5*u, 3*u - 4*z + 40 = -15. What is the tens digit of 36\/126 + (-2619)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 9*q + 6. Let m be j(4). What is the derivative of -5 - 5*p**2 - 4*p**m + 23*p**2 wrt p?\nAnswer: 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/6029115 and -8\/177?\nAnswer: 355717785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p + 3*p + 8*p - 2*p in the form q + m*p and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5694 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 - -77. What is the remainder when 45 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906.0171 litres to millilitres.\nAnswer: 906017.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122124312 is divided by 30531068?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or 3\/34133255?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1\/3, 2, 342 in descending order.\nAnswer: 342, 2, 1\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - l**2 - l - 1. Let z(k) = -6*k**2 - 6*k - 7. Determine -6*x(s) + z(s).\nAnswer: -6*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -8 + 16 + -12 - (0 + -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 11*z - 6. Let t be n(-10). Suppose l - 202 = 2*j, 4*l - t*j + 317 = 1137. Does 26 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4) - (42\/(-12))\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**3\/3 - 5*k**2\/2 + 2*k + 468. Let z be (2\/6)\/((-1)\/(-21)). Let j be c(z). Solve -2 = 3*q + d + 10, -5*q - j = 3*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5426528 = -2*x, 0 = 4*x + 3*p + 2*p - 10853056. Let j = 7913264 - x. What is j rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234922?\nAnswer: 2, 23, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*a + 61*a - 96 = 0. Let k(z) = z**3. Let v be k(-1). Let c be 2 - a\/(4 + v). What is the highest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648257633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -697 - -1281. List the prime factors of s.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/25212 and 71\/360.\nAnswer: 756360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 301607797 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - o + 37, -4*o + 2*o - 46 = -4*n. Solve 17*r - 20 = n*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 12:33 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}